NMT (No-Me Teaching) new series 65

NMT (No-Me Teaching) new series 65:

Some   Ramana Maharshi quotes:

In Non-duality, Meditation may be regarded as by the Self, for there is no other Knower, & upon the Self, since there is no Object of the Meditation. In Meditation upon Self-Knowledge one cannot stand apart from the Self to contemplate upon Self-Knowledge. 

Knowing the Self is being the Self, & Being means Existence, one’s own Existence.

No one denies one’s Existence any more than one denies one’s eyes, although one cannot see them.

The trouble lies with your desire to objectify the Self, in the same way as you objectify your eyes when you place a mirror before them.

You have been so accustomed to objectivity that you have lost the knowledge of yourself, simply because the Self cannot be objectified.

Who is to know the Self ?   Can the insentient Body know it ?

All the time you speak & think of your “I”, yet when questioned you deny knowledge of it.

You are the Self, yet you ask how to know the Self.

 The many objective differences are not real but are mere superimpositions on Self, which is of nature of True Knowledge.

If the idea “l am the Body” is accepted, selves are multiple.

The state in which this “I am the Body” idea vanishes is the Self since in that state there are no other objects.

Since the Body itself does not exist in the natural outlook of the real Self, but only in the extroverted outlook of the Mind which is deluded by the power of Illusion, to call Self, the Space of Consciousness, dehi [the possessor of the Body, lit: cremation fuel] is wrong.

The World does not exist without the Body, the Body never exists without the Mind, the Mind never exists without Consciousness, & Consciousness never exists without Reality.

For the wise one who has known Self by diving within himself, there is nothing other than Self to be known.

Since the Ego which identifies the Body as “I” has perished, the wise one is the formless Existence-Consciousness.

The jnani knows he is the Self & that nothing, neither his Body nor anything else, exists but the Self.

What difference could presence or absence of a Body make ?

Fine-Tuned Universe 45:

[In the unreal reflection called the “Universe”, a product of an unreal Mind, even there, Infinite Intelligence is evident and inspiring.]

Haldane asked: Must we assume that the Universe is composed at the outset of Matter – eternal, unchangeable, & independent ?  Henderson had said: Biology deals, not merely with the “efficient” causes of ordinary Physics & Chemistry, but also with what Aristotle called “final” causes.”

It is in the Biological facts that “Teleology is revealed as immanent in Nature as of its essence & no mere accident appearing in the Physical Environment & not only in organisms.

Haldane believed: Biological concepts must be extended to the Inorganic world.  While knowledge of how this would work is not now present, it requires only a further extension of knowledge. Haldane’s hope for the future was that: Physics & Chemistry would be penetrated by conceptions akin to those of Biology.  If this occurs, “Teleological reasoning will take a natural place in the Physical Sciences”

This is not where Henderson was going; & in a later criticism Haldane stressed how his & Henderson’s divergent views & also the extent to which Henderson’s commitment to the understanding that living things are Physico-Chemical systems further separated them.

Henderson later reported that he stepped back even farther from Teleological guides. He also stated that he

became significantly more skeptical of Metaphysics – to the extent that he regretted some of his earlier writings, seeing the discussion of “Teleology, Vitalism, & so forth, more or less irrelevant & immature.

He noted that he had been less skeptical than he should have been & claimed that much of what he wrote in attempting to explain “Fitness” in Metaphysical & Teleological terms was meaningless.  But he did not reject “Fitness” as a concept & continued to see it as a valuable, & perhaps even the most interesting, part of his Scientific work.

Henderson restated the claims he originally for the critical role of Carbon, Hydrogen, & Oxygen, which “make up a unique ensemble of properties . . . which are of the highest importance in the Evolutionary process,” making Diversity possible.

These elements, he emphasized, provide the “fittest ensemble of characteristics for durable mechanism.”  He still claimed: “For these facts I have no explanation to offer. All that I can say is that they exist, that they are antecedent to Organic adaptations, that they resemble them, & that they can hardly be due to chance.”.

“Fitness” did not challenge & provoke his contemporaries to take up the concept & use it as a guide to further scientific work. His later work on Physiological systems much more clearly evoked the laboratory labors of his contemporaries. Its detailed analysis of what he referred to as “an immensely complex system in equilibrium” served as a vigorous stimulant to further experiment & explanation.

“Fitness” remains to this day a symbol of attempts to provide broader explanation of the complexity of the Worlds of the living & the non-living. Henderson’s pre-World War I book was written at a time when the atom was gaining its redefinition at the hands of Rutherford, Rydberg, Mosley, & Bohr. This was before important new forms of chemical bonding had been established, & Biochemistry was still in its infancy.

One of  Henderson’s conjectures was that: “A possible abode of Life not unlike the earth apparently

must be a frequent occurrence in Space” & that perhaps even “‘thousands” of such planets exist. He further noted the current expectation of there being “many thousand million millions” of such possible abodes for Life.”

It is in this sense that Henderson’s “Fitness” takes on an expansive meaning. It has fueled renewed

interest in the Origin of Life & the obvious extension: the synthesis of Life in the laboratory.

Some more selected verses from the Ramana Maharshi disciple Master Nome:

The supposedly knowing Mind & the Universe known are both imagined.  Existence-Knowledge, which is Being-Consciousness, that alone is real.  The Reality exists without anything else.  That Self is alone the Knower & the Known, but any forms given to Knower & Known are only imagined.   Difference, which manifests only in the Mind within the Waking & Dream States, such difference is unreal.  Non-Dual Consciousness alone exists.

The ancient Sages gave their instruction in Silence & with Teaching that reveals how “That you are, (tat tvam asi).”  Inquiry into this instruction removes all ideas, of what is not the Self, from the Self.  This is like the proverbial negation the Analogy’s snake from the rope. Negation of the not-Self is never negation of a reality, but rather a negation of false assumptions or superimposition.  If real things would have to be negated, Liberation would be transitory, or not occur at all.  For how would it be possible for anything truly existent to go out of existence, or for something to actually change its nature.

Self-Inquiry & negation eliminate only Ignorance & Illusion.  All that is objective, & also the Ego, are negated by Self-Inquiry & negation summed up as neti, netinot this, not this”.  Such reveal Being, which is Consciousness, the one Self.

The Ego is ignorantly assumed to be the Self &, thus the Knower.  The conception of the Mind determine whether one is endowed with wrong knowledge, doubtful knowledge, or true knowledge.  With mis-identification, there is wrong knowledge. Then, what is regarded as knowledge is actually Ignorance.  Thereby arises self-caused Delusion regarding Happiness, Identity, & Reality.

With spiritual practice, wrong knowledge gives way to yet-doubtful knowledge. This means there is some actual knowledge regarding Happiness, Identity, & Reality. But this knowledge is not yet steady for it is either a conviction, without direct experience, or a conviction fused with some experience. But still, it is not steady because there remains the need to destroy remaining tendencies to mis-identify.

True Knowledge, however, is that state in which Knowledge is invariable. Also, here knowing & Being are one & the same. At all times, the same Consciousness is the only Knower, even when it appears as an Ego, a dissolving Ego, or as purely Ego-less.  This is just like a clear crystal appearing as if endowed with different colors or as transparent, according to the proximity of various colors, or the absence of them. In Truth, all such states & their content are known by the Self, have their apparent existence by the Self, which is free from them & depends on no thought whatsoever to know itself.  Even so, all such states & their content do not exist apart from the Self, though the Self itself can never be other than the Knowledge, Being itself.

Calculus for Yogis, part 8

First off, we attend to one of the various topics used in introducing Derivatives, topics that we have omitted, or in this case put off so far, for the sake of simplicity.

In previous examples we had talked about   y  being a function of   x   so that  y  is graphed on the Vertical scale &  x   is graphed on a Horizontal scale.  We also said that another Independent Variable like Time,  t   could be the horizontal scale.

Well graphs aside for the moment, both  y  &  x   can be functions of   t , while   y   remains a function of   x .  In that case,  with   x   being of the function of     &   y  begins as a function of   x ,  then what is called  y   as a function of    t   is a “composition” of the functions  y   &  x   in terms of   x‘s   variable   t .

(y  x)(t) = y(x(t))

Please know that the Rule for taking the Derivative of that Composition is called the Chain Rule.  In terms of just the differentials  d y,  d x,  d , it looks like they could be canceled & the expression below could be proven by simple canceling of terms.  That is a useful way of remembering how it works, but it doesn’t quite work that simply. That aside the Chain Rule is:

y/ d t  =   (d y/ d x)  x  ( d x/ d t)        the Chain Rule

The foregoing, that is: taking the Derivative of the function of a function, called the Derivative of a composition of functions, for purposes was a necessary prelude to an easy introduction to the next basic pattern that we had put off.  And that would be the general pattern or formula for taking the Derivative of one function times another, the Product of 2 functions.  Both are functions of the same Variable.  For instance, we can take Time as our Independent Variable & we have x & y to both be Dependent Variables, functions of Time,  t .

Then if we take the Time Derivative of the product  xy  it turns out as :

d(xy)/dt  =   y dx/dt   +   x dy/dt ,   which bears some resemblance to the Chain Rule, which it should when we consider (xy) to be a fuction of  x  &  y namely “multiplication” of the two.

d(xy)/dt  =  [d(xy)/dx]  x  [dx/dt]  + [d(xy)/dy]  x  [dy/dt]

=   y (dx/dt)  +  x (dy/dt)

thus the same Product Rule as above.  In other words, the Product Rule shows one function times the Derivative of the other, plus that other function times the Derivative of the 1st function, as it were, taking turns having the Derivative taken while simply multiplying by the other function.  We can also affirm the simpler expression in terms of just “differentials”

d(xy)  =   x dy   +   y dx

When we take the trimmed–down inverse of the Derivative or just the “differentials”, that inverse sometimes called the Anti–Derivative, the trimmed–down Indefinite Integral, of each of those last 3 terms:

∫ d(xy)  =  xy    =  ∫  x dy   +   ∫  y dx    , or rearranged to:

∫  x dy    =    xy       ∫  y dx

Corresponding to the Integral expression is on in terms of sums & differences:

n                                                                          n

Σ  fk     gk   =   [fn+1  gn+1     fm gm]  –   Σ gk+1    fk

= m                                                                    k = m

Again to put the Integral expression in other words, if taking the Integral of 1 Variable, such as  x  in terms of  y, is difficult, then we can instead take the Integral of that other Variable, such as  y  in terms of  x.  Taking the  xy  part as one kind of  “fix”  among various corrective factors, we here see for the 1st time, a relating of:

∫  x dy     to:    ∫  y dx

The Integral pattern of is more clearly a “change of Variable” from:   x  to   .

 x y   =   ∫ dy    +   ∫y dx

d/dt[ x y]   =    dy/dt    +   y dx/dt

d/[ x y]   =    dy    +   y dx

F (z)   =   ∫ (x)  e–2πxz dx   , taken from  –  ∞  to  

f (x)   =   ∫ (x)  e2πxz dz   , taken from  –  ∞  to  

Corresponding to Integral expression is the Fourier Series in terms of Sums:

.                                          N

sin (x)  =   1/2 Ao  +  Σ    [ An cos 2 n/P    +   An sin 2 n/P  ]

.                                        k = m

The Laplace transform, like the Fourier transform transforms a expression in ordinary Variables to one in a Frequency or “imaginaryFrequencytype Variable.

F (s)   =   ∫ (t)  e–st dx   , taken from  –  ∞  to  

f (t)   =   1/ 2πi  ∫ (x)  est ds   , taken from   γ – ∞   to   γ + 

To the Integral expression there is no corresponding is the “Laplace Series” in terms of Sums.

The above themes & 1600 pages more are freely available as perused or downloaded PDF’s, the sole occupants of a Public Microsoft Skydrive “Public Folder” accessible through:  

www.jpstiga.com/

http://jstiga.wixsite.com/nonduality/

or with Caps-sensitive:

http://sdrv.ms.YPOgkX/

Duplicates (but with graphics) have been available on:

http://www.blogger.com     as  “Being-as-Consciousness, Non-Duality – new & final version” with link:

http://being-as-consciousness.blogspot.com/

[But from now on, they will be different & still usually daily.]

There is no Creation, no Destruction, no Bondage, no longing to be freed from Bondage, no striving for Liberation, nor anyone who has attained Liberation. Know that this to be Ultimate Truth.”   the “no creation” school of Gaudapada, Shankara, Ramana, Nome Ajata Vada

for very succinct summary of the teaching & practice, see:  www.ajatavada.com/

NMT (No-Me Teaching) new series 64

NMT (No-Me Teaching) new series 64:

Some   Ramana Maharshi quotes:

All that you need do is to find out the origin of the “I-thought” & abide there.  Your efforts can extend only thus far. Then the Beyond will take care of itself.

The Ego-Self appears & disappears & is transitory, whereas the real Self is permanent.

You wrongly seem to identify the real Self with the Ego-Self.  See if that mistake has come about. The Ego-Self does not exist at all.

To whom is the trouble ?  The trouble also is imagined. Trouble & pleasure are only for the Ego.

Take care of yourself.  Let the World take care of itself.  See your Self.  If you are the Body there is the gross World also.  If you are spirit all is Spirit alone.

Do it yourself 1st  then see if the question of others arises afterwards. 

There is no goal to be reached, nothing to be attained.  You are the Self.  You exist always.  No more can be predicated of the Self than that it exists.

Seeing God or the Self is only being the Self or yourself.

Seeing is being. You, being the Self, want to know how to attain the Self. 

It is something like a man being somewhere & asking how many ways there are to reach the place & which is the best way for him. All that is required of you is to give up the thought that you are this Body & to give up all thoughts of the external things or the not-Self.     

People say they aren’t able to know the all pervading Self.

Even the smallest child says, “l exist. I do. This is mine.”

Everyone understands that the thing “I” is always existent.  Only when the “l” is there, is there feeling you are the Body.

Knowing one that is always “visible” is one’s own Self, is it necessary to search with a light ?

To say that we do not know the atma swarupa [the real nature of the Self] which is not different but which is in one‘s own Self is like saying, “l do not know myself.”

The nature of bondage is merely the rising, ruinous thought “I am different from the Reality.”  Since one surely cannot remain separate from the Reality, reject that thought whenever it rises.

 You speak of memory & oblivion of the fullness of the Self.  Oblivion & memory are only thought-forms. They will alternate so long as there are thoughts. But Reality lies beyond these. Memory or oblivion must be dependent on something. That something must be foreign to the Self as well, otherwise there would not be oblivion. That upon which memory & oblivion depend is the idea of the individual self.

 When one looks for it, this individual “I” is not found because it is not real.  Hence this “I” is synonymous with Illusion or Ignorance [maya_, , or ajnana].

To know that there never was Ignorance is the goal of all the spiritual teachings. Ignorance must be of one who is aware. Awareness is jnana.  Jnana is eternal & natural, ajnana is unnatural & unreal.

 In Deep Sleep man is devoid of possessions, including his own Body.

Instead of being unhappy he is quite happy. Everyone desires to sleep soundly.

The conclusion is that Happiness is inherent in man & is not due to external causes.

One must realize the Self in order to open the store of unalloyed Happiness.

 lf a man thinks that his Happiness is due to external causes & his possessions, it is reasonable to conclude that his Happiness must increase with the increase of possessions & diminish in proportion to their diminution. Therefore if he is devoid of possessions, his Happiness should be nil.  What is the real experience of man ?  Does it conform to this  view ?

Fine-Tuned Universe 43:

[In the unreal reflection called the “Universe”, a product of an unreal Mind, even there, Infinite Intelligence is evident and inspiring.]

There is still much that we do not understand about nature. Ultimately the path is based on principles of Chemistry & Physics & Geology – that could plausibly have led from disorganized mixtures of inanimate chemicals to the astonishingly ordered, self-replicating networks of  reactions that provide the basis for life. The fact that we cannot yet understand how an inconceivably large number of tries at an extraordinarily improbable event might lead to “Life” is more a reflection of our limited ability to understand than evidence of a requirement for some new principle. But, having said all of that, we do not know whether Physical Science ultimately explains the origin of Life or whether the explanation will require principles entirely new. Science makes every effort to develop the explanation.

Science may ultimately be successful in rationalizing the origin of Life in terms of physical principles, it should be cautious & claim credit only for the puzzles it has already solved, not those whose solutions still lie in the future.  The central conundrum about the origin of Life – that, as an accidental event, it seems so very improbable is not one that Science has yet resolved. Claiming credit prematurely claiming, in effect, that current Science holds all the answers may stunt the growth of the new ideas that a resolution may require.

We do not understand how Life originated. Order from disorder !  How could it have happened ?   Difficult problems may take time – lots of time – to solve.

The Fitness of the Cosmos, “bio-centric” & “fitted” for Life, “fitness” & “fine-tuning”, raises the question: why can & does Life exist in our Universe ?

Zero-point Energy & the Casimir Effect

Vacuum Zero-point Energy  is vast, seemingly large. Naively, it is infinite, limited only by absence of Planck length short wavelengths.  One phenomenon that is considered as evidence for the Vacuum Zero-point Energy is the Casimir Effect, the quantized Electro-Magnetic Field between a pair of grounded, neutral metal plates. The Vacuum Energy contains contributions from all wavelengths, except those excluded by the spacing between the plates. As the plates draw together, more wavelengths are excluded & the vacuum energy decreases.  The decrease in energy means there must be a Force doing work on the plates as they move. This Force has been measured and found to be in good agreement with the theory.  A spectral “Lamb shift” has also been thought to be partially due to a Zero-point Energy effect.

Some more selected verses from the Ramana Maharshi disciple Master Nome:

If one is immersed in Samsara, the repetitive Cycle of Illusion, Birth, & Deaths, filled with Suffering, the way to liberate oneself is by Self-Knowledge. Liberation, which is the goal of spiritual practice, is one’s own if, inquiring to know the Self, he discards all notions of  “me” & “mine” attains complete certitude as to the Space-like nature of Reality, & “abides” devoid of physical & mental forms, & the assumption of an Ego-entity.

If the Self would change states, such as states of Ignorance & Knowledge, of Bondage & Liberation, that Self would be destructible, & Liberation itself would be artificial or unreal. Liberation is not a change of state from one state into another state.  It is not reasonable to imagine a separation & later union in relation to the Self, for then both would be transitory. Transience cannot be attributed to the Real, just as the unreal cannot be attributed to the Real, or the dual to the Non-Dual.  Since there truly can be neither later union nor prior separation, Liberation cannot consist of an Individual entering into Brahman or Brahman coming to the Individual.  The True Nature of the Self is never destroyed, is changeless, is uncaused, & cannot be obtained or lost.  Any new appearance, or coming into being of any state would be the Effect of a precedent Cause. Such would be changeful, transitory, & not self-existent. Such cannot be permanent Liberation.  Self-Knowledge alone is Liberation.  Knowing the Self to be oneself is the greatest attainment.  To wrongly assume the non-Self to be the Self is Ignorance.

The removal of the superimposed mis-conceptions of what the Self alone is constitutes the path to Liberation.  No other view is reasonable, since such always involves some Dualism, some belief in an existent individual experiencer & a self-existent objective thing. There is also then the conception that Reality becomes other than what it is, & that the unreal actually comes to be.  Liberation cannot be a change of condition, because such involves mutability & thus destructibility, parts or divisions, & a change in its nature.

Any belief that superimposition occurs on some substrate of non-existence, or that belief that Illusion can actually create itself, or that there is no Absolute Self, all such beliefs should be abandoned. This is because of the existence of Being itself is irrefutable. Furthermore, it is not reasonable that something could come out of “nothing”. Superimposition (in Illusion) occurs on some real thing, & this for “someone” who knows the Ignorance.  What is it Ignorance of ?  And who knows is the Ignorance for ?  If one so inquires, one find that Being alone exists, Consciousness alone exists.

Calculus for Yogis, part 7

Now in a certain version of   e  in what’s called “complex space”  describes a Circle even though we don’t see that in ordinary  x   &   y   coordinates, where we see a gradually rising  &  then rapidly rising curve.  The special “complex space” version is graphed as a Circle, often with Radius 1.  If we look, for instance, at a Radius heading to the upper right direction, & at the point where it intersects the Circumference, we can drop a Vertical line & create a Right Triangle that includes as a Base, the  x  axis.

The angle that the Radius line made with that x-axis Base can be called Angle  A .  To some extent  Angle  A   is characterized by the ratio of that Vertical line length to the length of X axis Base.  This “Opposite” side over “Adjacent” side ratio, called the Tangent of  A  is one of the ways to calculate the Slope, in fact the Derivative of the slanting line of the Radius.  This tangent of a, abbreviated as  “tan A”  & can in turn be considered the ratio of 2 other functions of  A.

The vertical line for this unit Radius Circle equals has a length equal to  Sine  A, abbreviated as  “sin A”.  The portion of the x-axis making up the Base has a length equal to  “Cosine A”.  [If the radius were more or less than 1, that proportion would be multiplying these functions, sin A & cos A, but have no effect on tan A.]

So whereas  tan A  is definable as “Opposite over Adjacent”,  sin A  can be defined as “Opposite side over the Radius”, the hypotenuse.  That  =  1   in this case.  The  cos A  can be just found as the  “Adjacent side length over the radius”, again just equal to that length because the Radius  =  1.

More meaningful than defining Sine & Cosine in terms of right triangles is to consider them as the Coordinates of that point of intersection of the Radius & the unit Circle formed by a complex space version of   e x .

In that sense some of this complicated version of   e  is composed of the  Sine of  x  & Cosine x.  We see this showing up in the (Power Series) Polynomial Infinite Series for sin  x  &  cos x .

Recall that:

e x   =  Σ   x n / n !       =    1   +  x    +   x 2 / 2 !    +   x 3 / 3 !     +    ….

n  = 0

& now we compare that to:

sin x  = Σ (1)n  x 2n+1 / (2n+1) /=   x  –   x 3 / 3 !  +   x 5 / 5 !  x 7 / 7 !  .

n  = 0

cos x  =  Σ  (1)n  x 2n / 2n !  =  1   –   x 2 / 2 !   +   x 4 / 4 !   –   x 6 / 6 !  ….

n  = 0

Again, the alternating Minus signs arise out of the “complex space” relationship.

Thus we reduce more complicated Exponential & Trigonometric functions to more ordinary Polynomial terms & compare the Polynomial series for  e x  with the Polynomial series for  sin x  &  cos x  because we know how to take the Derivative of those terms.

We previously took the Derivative of that expression for  e x ,  term by term, to show that the Derivative the of each of terms numerically goes back to, is equal to our initial  e  .

Doing the same for  sin x  &  cos x,  we find that the Derivative each of terms goes back to terms of the other Series,  sin x  to  cos x,  &  vice versa. except that the Minus signs are reversed in the 2nd case.  That is, the exercise shows that: the Derivative of   sin x  is =   cos x,  &  the Derivative of  cos x  is  =   –   sin x .

We saw that we can look at the inverse of the Derivative, in a matter speaking, which is called the Integral, with the so-called “indefinite” Integral. We truly have that inverse to within a added constant, leaving that added constant out, or making it be a 0,  Then we can treat the Indefinite Integral as if it was the inverse of the Derivative.

So looking at a couple of Polynomials like  7 x2  +  4 x  + 3,  we saw that the Derivative is 14 x  +  4 , & for Integral we go the other way to:  7/3 x3  +  4/2 x  + 3x  +  a constant.

Up until now we delayed introducing any version of the symbol for the integral because it’s unduly strange looking, scary, and off putting to the uninitiated.  But will simplify it by saying that the symbol is based on a big “S”.  In fact since it’s a Roman alphabet “S”, in a way. it’s less exotic than the Greek capital “S”, Sigma that we saw for a generic term representation of an Infinite Series.  In any case, that statement just above can be rewritten symbolically as:

d/d x [7 x2  +  4 x  + 3]   =   14 x  +  4                                        (Derivative)    &

∫ [7 x2  +  4 x  + 3] d   =   7/3 x3  +  4/2 x  + 3x  +  a constant     (Integral)

The Analogy we drew was that the Derivative is the projected Perspective toward Happiness, viewing toward the estimated Future, based on the immediate past average; & the Integral is an accumulated memory or record by which we define Reality & Identity , instead of the Happiness.  Looking at these rather complex looking structures created on paper, we van so peak at the Mind, much as elsewhere we compare the Mind to Mathematical Coordinate Spaces.  Math mirrors Mind.

Now there are special reasons for seemingly idle curiosity about sin x   &   cos x .  For one thing, these 2 functions are the building blocks of the many “wave” phenomena that we see in the Sciences.  Back in the area of Mathematics, but Mathematics very applicable to Science, the sin x  &  cos x  are also building blocks for the Fourier transforms.  Fourier transforms & Laplace transforms, Quantum Mechanical Correlation, & similar topics will also be introduced by taking a closer look at the Integral in general.

Derivatives & Integrals can often be determined by systematic rules, like the Power Rule such as is the case for Polynomials.  But in other cases when we take the Integral, solving is more of an art form,  Detective intuition, trial & error, & so forth yield some basic processes, one being Integration by Parts.  We pause in our discussion to look at Integration by parts because it will serve as a foundation for the idea of a Transform.

What we will see is actually closer in form to Conjugate Variables in Quantum Mechanics, which are the basis for the Heisenberg Uncertainty Principle. Quantum Mechanics also uses the Fourier transform to move from ordinary Distance Space to a Transform of that, called Momentum Space. And so with these motivations we will look at Integration by Parts.

The above themes & 1600 pages more are freely available as perused or downloaded PDF’s, the sole occupants of a Public Microsoft Skydrive “Public Folder” accessible through:  

www.jpstiga.com/

http://jstiga.wixsite.com/nonduality/

or with Caps-sensitive:

http://sdrv.ms.YPOgkX/

Duplicates (but with graphics) have been available on:

http://www.blogger.com     as  “Being-as-Consciousness, Non-Duality – new & final version” with link:

http://being-as-consciousness.blogspot.com/

[But from now on, they will be different & still usually daily.]

There is no Creation, no Destruction, no Bondage, no longing to be freed from Bondage, no striving for Liberation, nor anyone who has attained Liberation. Know that this to be Ultimate Truth.”   the “no creation” school of Gaudapada, Shankara, Ramana, Nome Ajata Vada

for very succinct summary of the teaching & practice, see:  www.ajatavada.com/

NMT (No-Me Teaching) new series 63

NMT (No-Me Teaching) new series 63:

Some   Ramana Maharshi quotes:

Of 3 classes of spiritual aspirants, the most advanced realize the Self as soon as they are told about its Real Nature.

Those in the 2nd class need to reflect on it for some time before Self-awareness becomes firmly established.

Those in the 3rd category usually need many years of intensive spiritual practice to achieve the goal of Self-realization.

As a metaphor, Combustion describes the 3 levels: Gunpowder ignites with a single spark, Charcoal needs application of heat for a short time, & wet Coal needs to dry out & heat up over a long period of time before it will begin to burn.

For the benefit of those in the top 2 categories it is taught that the Self alone exists & that it can be directly & consciously experienced merely by ceasing to pay attention to the wrong ideas we have about ourselves, These wrong ideas are collectively called the “not-Self‘ since they are an imaginary accretion of wrong notions & misperceptions which effectively veil the true experience of the real Self.

The principal misperception is the idea that the Self is limited to the Body & the Mind. As soon as one ceases to imagine that one is an individual person, inhabiting a particular Body, the of wrong ideas collapse & are replaced by a conscious & permanent awareness of the real Self.

There is no question of effort or practice All that is required is an understanding that the Self is not a goal to be attained, it is merely the awareness that prevails when all the limiting ideas about the not-Self have been discarded.

Perfect Bliss is Brahman.

Perfect Peace is of the Self.

That alone exists & is Consciousness.

Happiness is only the Nature of Self.

Self is not other than perfect Happiness.

Happiness alone exists.

Knowing that & abiding in the state of Self, enjoy Bliss eternally.

Obstacles which hinder Realization the Self are habits of Mind [vasanas].

Overcome the mental habits [vasanas] by realizing the Self.

It is the Ego which raises such difficulties, creating obstacles & then suffering from perplexity of apparent paradoxes.

Find out who makes the Inquiries & Self will be found.

Prior to excerpting the Ramana Maharshi disciple, Master Nome in the text below we continue the series: Fine-Tuned Universe , the premise that a small change in several of the dimensionless fundamental physical constants would make the Universe incapable of Life.

Fine-Tuned Universe 43:

[In the unreal reflection called the “Universe”, a product of an unreal Mind, even there, Infinite Intelligence is evident and inspiring.]

Henderson‘s Biological “Fitness”:.

“Fitness” and “Order” have taken on other meanings more expansive than Henderson intended.  Henderson to limit what he saw as some of the metaphysical turns given. In some ways, these views were unavoidable given Henderson’s own often imprecise ideas and his choice to use a term like “Teleology” & attempt to give it his own meaning.

From early on in the years after “Fitness”, Henderson kept making clear his lack of sympathy with ideas of Vitalism; & although he resisted announcing himself a committed Mechanist [~ Scientist, Physicalist, Atheist, Materialist], he clearly indicated his receptiveness to its explanatory outlook. In his paper “Mechanism, from the standpoint of physical science” he once again revisited the debate begun as early as 1915 & rejected the Vitalism proposed by Haldane.  Haldane’s conviction that it is impossible to conceive organization in physical & chemical terms, this seems by no means impossible to most physiologists. .

When Henderson turned to the organismic views of Alfred North Whitehead he was cautious.  Yet in his review of Whitehead’s “Science and the Modern World”, while clearly appreciative of the development of the concept of organization, the “. . . doctrine Whitehead calls the theory of organic mechanism,” Henderson is not fully enthusiastic.  He notes a “lack of unity in the exposition,” with the author “still engaged in working out his theories.” Although he can “dimly . . . perceive” the possibility of overcoming the difficulties “. . . that have produced the conflicts between Mechanism & Vitalism, & between Freedom & Determinism . . . hope has been so long deferred…it is natural to be a skeptic”.

other perspectives on Biological “Fitness”

Terminology in this context is still somewhat fluid. The term “Multi-Verse” is also often used where a single originating event brings about an Ensemble of Domains that do share a causal relation with one another at the moment of Origin, although not later. We restrict the term “Multi-Verse” to the Infinite Domain with its infinite series of Inflation events.

But this is likely to be the exception. At any rate, in the case of Carbon, recent calculations seem to indicate that the Fine-Tuning first apparent in the Chemistry of the various nuclei involved carries over to the level of basic Physics: were the Strong Force to be greater by as little as 5 %, or the Electro-Magnetic Force to be greater by perhaps 4 %, the production of Carbon & Oxygen in the infant Universe could have shut down.

Chemistry plays a double role here, 1st in revealing the Fine-Tuning required in order that Carbon should form, & 2nd in implying the plausibly necessary role that Carbon plays in the economy of Life generally. These are 2 separate arguments.

But the decisive element in establishing the Fine-Tuning itself still lies at the level of fundamental Physics: must the relevant Physical Constants be constrained within a tight percentage range so that the Chemistry of the Universe should be open to the development of Life ?  Do any other plausible instances of Fine-Tuning exist in the basic Chemistry of the raw materials required for living processes ? .

Fine-Tuning in Biology

What are the prospects for discovering instances of Fine-Tuning in realms other than Physics & Chemistry – in Biology, say ?  It is helpful to draw some inferences 1st from the structure of the Fine-Tuning argument in its native home, Cosmology.

Biological considerations play an indispensable role in all discussions of Cosmic Fine-Tuning. But in this role they are not part of the Fine-Tuning claim itself.  Typically, proponents of Fine-Tuning allege that an unexpected degree of constraint on some Physical parameter or basic constant is necessary if some other Physical condition is to be realizable in the Universe.  Then, in a separate argument, this latter condition is held to be necessary for the Universe’s being open to the development of complex Life.

Some more selected verses from the Ramana Maharshi disciple Master Nome:

If one is immersed in Samsara, the repetitive Cycle of Illusion, Birth, & Deaths, filled with Suffering, the way to liberate oneself is by Self-Knowledge. Liberation, which is the goal of spiritual practice, is one’s own if, inquiring to know the Self, he discards all notions of  “me” & “mine” attains complete certitude as to the Space-like nature of Reality, & “abides” devoid of physical & mental forms, & the assumption of an Ego-entity.

If the Self would change states, such as states of Ignorance & Knowledge, of Bondage & Liberation, that Self would be destructible, & Liberation itself would be artificial or unreal. Liberation is not a change of state from one state into another state.  It is not reasonable to imagine a separation & later union in relation to the Self, for then both would be transitory. Transience cannot be attributed to the Real, just as the unreal cannot be attributed to the Real, or the dual to the Non-Dual.  Since there truly can be neither later union nor prior separation, Liberation cannot consist of an Individual entering into Brahman or Brahman coming to the Individual.  The True Nature of the Self is never destroyed, is changeless, is uncaused, & cannot be obtained or lost.  Any new appearance, or coming into being of any state would be the Effect of a precedent Cause. Such would be changeful, transitory, & not self-existent. Such cannot be permanent Liberation.  Self-Knowledge alone is Liberation.  Knowing the Self to be oneself is the greatest attainment.  To wrongly assume the non-Self to be the Self is Ignorance.

The removal of the superimposed mis-conceptions of what the Self alone is constitutes the path to Liberation.  No other view is reasonable, since such always involves some Dualism, some belief in an existent individual experiencer & a self-existent objective thing. There is also then the conception that Reality becomes other than what it is, & that the unreal actually comes to be.  Liberation cannot be a change of condition, because such involves mutability & thus destructibility, parts or divisions, & a change in its nature.

Any belief that superimposition occurs on some substrate of non-existence, or that belief that Illusion can actually create itself, or that there is no Absolute Self, all such beliefs should be abandoned. This is because of the existence of Being itself is irrefutable. Furthermore, it is not reasonable that something could come out of “nothing”. Superimposition (in Illusion) occurs on some real thing, & this for “someone” who knows the Ignorance.  What is it Ignorance of ?  And who knows is the Ignorance for ?  If one so inquires, one find that Being alone exists, Consciousness alone exists.

Calculus for Yogis, part 6

Now just as we call the Integral the inverse of Derivative, will then Derivative is the inverse of Integral.  This reciprocal kind of relationship also applies to functions themselves.  So the inverse of Multiplication is Division as we saw in going from Polymer Derivative to Integral; & the inverse of Addition is Subtraction.

Well the inverse of something more complicated like the Exponential function acquired the name Logarithm.  This was part of its role in making calculation feasible before they were calculating machines.  The qualities of Exponents are such that Multiplication of Terms raised to a Power involves Addition of the Exponents.  And so the Logarithm creates a relationship between Multiplication & Addition. So devices like a slide rule could use Addition distances to effect Multiplication & tables of Logarithms allowed Addition to serve the purpose of Multiplication,

Logarithms, the inverse of the Exponential function happens to be called the Natural Logarithm designated “ln x” whereas “Log x”  with no special base mentioned is assumed to be aligned with the Decimal number system, meaning the inverse of 10x , that is the Log to the base 10, can often just be called “Log” as the default.

But with computers using Even numbers of what are called “buses” or wires to build on the duality of 0 or 1, of a voltage On /  voltage Off, the Binary number system introduced the usefulness of raising 2 to various powers, or taking the Logarithm to the base 2.

Other Powers of 2 are also useful in computer science, specifically 2 to the 4th which is 16.  This “Hexadecimal” alternative to the Decimal number system uses 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F instead of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17.

In any case, the Logarithm serves another good purpose, besides being the Inverse of Exponential.  It gets us around the difficulty of dividing by 0 when we take the Integral of 1/ x .  There it looks like raising the  –1 power to 1 higher would take us to Zero power, thereby “losing” the Variable since x 0  =  1.  Mysteriously, that Integral turns out to be “ln x“;  &  d x/ x  =  d ln x.  On occasion we will glance at “Mysterious” coincidences presented to us by Mathematics.  The relationship between   ln x   &  1/x   is only a minor example, only slightly mysterious.  Uncountable others show up in the annals of Mathematics a few small examples here follows:

    92  =  81                   8 + 1  =  9

  452  =  2025           20 + 25  =  45

  552  =  3025           30 + 25  =  55

  992  =  9807           98 + 01  =  99

2972  =  88209        88 + 209  =  297

7032  =  494209    494 + 209  =  703

9992  =  998001    998 + 001  =  999

1/ 27  =  .0370370370 …      &    1/ 37  =  .0270270270

There are no tricks explaining these coincidences, even multiple coincidences in one expression, like there are tricks in some elementary grade school math puzzles.  These truly amazing coincidences, when by accident noticed by mathematicians & scientists, are sometimes referred to in ways like “God winking at you.”

The above themes & 1600 pages more are freely available as perused or downloaded PDF’s, the sole occupants of a Public Microsoft Skydrive “Public Folder” accessible through:  

www.jpstiga.com/

http://jstiga.wixsite.com/nonduality/

or with Caps-sensitive:

http://sdrv.ms.YPOgkX/

Duplicates (but with graphics) have been available on:

http://www.blogger.com     as  “Being-as-Consciousness, Non-Duality – new & final version” with link:

http://being-as-consciousness.blogspot.com/

[But from now on, they will be different & still usually daily.]

There is no Creation, no Destruction, no Bondage, no longing to be freed from Bondage, no striving for Liberation, nor anyone who has attained Liberation. Know that this to be Ultimate Truth.”   the “no creation” school of Gaudapada, Shankara, Ramana, Nome Ajata Vada

for very succinct summary of the teaching & practice, see:  www.ajatavada.com/

NMT (No-Me Teaching) new series 62

 

The above themes & 1600 pages more are freely available as perused or downloaded PDF’s, the sole occupants of a Public Microsoft Skydrive “Public Folder” accessible through:  

www.jpstiga.com/

http://jstiga.wixsite.com/nonduality/

or with Caps-sensitive:

http://sdrv.ms.YPOgkX/

Duplicates have been available on:

jstiga.wordpress.com/

[But from now on, they will be different & still usually daily.]

There is no Creation, no Destruction, no Bondage, no longing to be freed from Bondage, no striving for Liberation, nor anyone who has attained Liberation. Know that this to be Ultimate Truth.”   the “no creation” school of Gaudapada, Shankara, Ramana, Nome Ajata Vada

for very succinct summary of the teaching & practice, see:  www.ajatavada.com/

NMT (No-Me Teaching) new series 61

NMT (No-Me Teaching) new series 61:

Some   Ramana Maharshi quotes:

All that you need do is to find out the origin of the “I-thought” & abide there. Your efforts can extend only thus far. Then the Beyond will take care of itself.

The Ego-Self appears & disappears & is transitory, whereas the real Self is permanent.

You wrongly seem to identify the real Self with the Ego-Self.  See if that mistake has come about. The Ego-Self does not exist at all.

To whom is the trouble ?  The trouble also is imagined. Trouble & pleasure are only for the Ego.

Take care of yourself.  Let the World take care of itself.  See your Self.  If you are the Body there is the gross World also.  If you are spirit all is Spirit alone.

Do it yourself 1st  then see if the question of others arises afterwards. 

There is no goal to be reached, nothing to be attained.  You are the Self.  You exist always.  No more can be predicated of the Self than that it exists.

Seeing God or the Self is only being the Self or yourself.

Seeing is being. You, being the Self, want to know how to attain the Self. 

It is something like a man being somewhere & asking how many ways there are to reach the place & which is the best way for him. All that is required of you is to give up the thought that you are this Body & to give up all thoughts of the external things or the not-Self.     

People say they aren’t able to know the all pervading Self.

Even the smallest child says, “l exist. I do. This is mine.”

Everyone understands that the thing “I” is always existent.  Only when the “l” is there, is there feeling you are the Body.

Knowing one that is always “visible” is one’s own Self, is it necessary to search with a light ?

To say that we do not know the atma swarupa [the real nature of the Self] which is not different but which is in one‘s own Self is like saying, “l do not know myself.”

Prior to excerpting the Ramana Maharshi disciple, Master Nome in the text below we continue the series: Fine-Tuned Universe , the premise that a small change in several of the dimensionless fundamental physical constants would make the Universe incapable of Life.

[In the unreal reflection called the “Universe”, a product of an unreal Mind, even there, Infinite Intelligence is evident and inspiring.]

To Jupiter, and beyond the Infinite.               “2001” movie

To Infinity, and Beyond !        Buzz Lightyear, Pixar character & toy “of the decade”

Fine-Tuned Universe 41:

[In the unreal reflection called the “Universe”, a product of an unreal Mind, even there, Infinite Intelligence is evident and inspiring.]

Reasoning “forward” is much more problematic. Although we can imagine many possible mangers for the Birth of Life deep “smokers” [~ volcanoes] in the abyssal depths, tidal pools, hot springs, & many others and although each could plausibly produce primitive precursors to many of the reactions that now constitute cellular metabolism, we have no idea how these simple reactions might have blundered together to make the first proto-cell. Monkeys sitting at typewriters pecking out Shakespeare seems child’s play by comparison. For example, we still do not know:

What were the first catalysts ?  Were they protein-analogs or RNA-analogs or minerals or some other species of which there is now no trace ?

How did the first networks form, & why did they persist ?  One can imagine countless catalytic reactions that might have occurred, but how some of these reactions became self-sustaining networks is entirely obscure.

How could the process that stores the information that specifies the catalysts the RNA or precursor of the primitive cells have evolved ?  The connection between RNA (or its younger, more evolved cousin, DNA) and the proteins that are catalysts, the enzymes, is not at all obvious; how the 2 co-evolved is even less clear.

How did the energetic cycles that power every cell emerge ?  Why is there Potassium ion on the inside of the cell & Sodium ion on the outside? What was the origin of Chemiosmosis the extraordinary complexity of the ATPases the complicated aggregates of proteins that generate ATP using the free energy that derives from differences in the concentration of ions across membranes how could they have evolved ? We simply do not know.

Nothing in the cell violates the Fundamental Laws of Physical Science. The 2nd law of Thermodynamics, the law that describes everything that occurs in the range of sizes relevant to Life, can sleep untroubled.

The flux of Energy now (although not necessarily originally) produced in nuclear reactions in our Sun, transferred to the surface of Earth as sunlight, absorbed by plants in Photosynthesis, captured as Glucose & other compounds, used in the cell to generate the intermediates that make metabolism possible, & ultimately dissipated to Space by radiation as Heat can evidently support Life.  But how Life originated is simply not apparent.  It seems so improbable !  The complexity of the simplest cell eludes our understanding how could it be that any cell, even one simpler than the simplest that we know, emerged from the tangle of accidental reactions occurring in the molecular sludge that covered the prebiotic Earth ?

We do not understand. It is not impossible, but it seems very, very improbable.

This Improbability is the crux of the matter. The scientific method can be paralyzed by problems that require understanding the very improbable occurrences that result from very, very large numbers of throws of the dice.  Sometimes we can understand the statistics of the problem; sometimes we cannot.  How likely is it that a comet will hit the Earth ?  We now have good geological records.  How likely is it that a Star will explode into a Nova ?  There are many, many observable Stars, & we now understand the statistics of Nova formation quite well.

But how likely is it that a newly formed Planet, with surface conditions that support liquid Water, will give rise to Life ?  We have no clue, & no convincing way of estimating.  From what we do now know, the answer falls somewhere between “impossibly unlikely” & “absolutely inevitable.”  We cannot calculate the odds of the spontaneous emergence of cellular Life on a plausible prebiotic Earth in any satisfying and convincing way.

Calculus for Yogis, part 4

There are many ways to approach  e  but one easy way is to look at how simple increase occurs, how, as afore mentioned above, the Derivative, the rate of growth   d y / d x  for  ex  happens to numerically equal the value of   y  =  ex   itself.  This describes that common situation of “the more you got, the more you get.”  Wealth grows faster & faster the larger the amount or principal grows as  et   also.

A savings account, compounded continuously, grows that  et   way which Einstein called “the most amazing thing in the Universe”, which was kind of a joke because he was privy to many amazing things about the Universe.  Some say that we “cannot get our heads around” the Exponential function because a Brain–Mind neuro-circuit “functions” in Exponential functions & like an eyeball, cannot see itself, but only a reflection or photo of an eyeball.

Weatherby way out on the high steep artwork early on in the flat part and reset the scale we get the same appearance so it’s always rising the same way but it always looks like from your present point that the pass was very flat and slow in the future getting incredibly steep this is the rise in CO2 in the atmosphere the rising temperature of the planet in average temperature of the planet in climate change the rising population the rising various pollutants and so on as mentioned increasing bank accounts rise that way and decreasing bank accounts descend according to E to the X into the minor sex which is also the dissent of radioactivity over time in a sample of radioactive material or if that is a pure element or pure isotope

So if we know that  d y / d x  happens to be numerically equal  y  when   y  ex  we must wonder about this curious number   e   which, as it happens can be determined in various mysterious ways, such as the following:

e =   lim  (1 +  1/ x)x

x => ∞

Both a “limit”, like the preceding, & infinite series to be soon mentioned, “converge”, rather than “blow up”, for x  smaller than 1.  When we evaluate e  itself by setting x  = 1  in   ex ,  we get:  e ~   2.72,   e =  2.718281828 …  and then no other repetition occurs right away.  But that early repetition of  18281828  allows us to actually remember to great accuracy because it’s got that 18281828  pattern.

The succeeding numbers vary and are not generally repeating in such a Transcendental number where the number the different numerals goes on forever.  And yet we can say the number in itself has a distinct value, as in saying that   is the value of parenthesis one plus one over  x , all to the  x   in the Limit that  x  goes to Infinity.  Now that’s all more abstract than “the more you got, the more you get.”  & that the rate of increase  numerically equals the value of the function itself.

Then optional notation to augment the Infinite series Polynomial approach that here follows will be veritably “opaque” to the uninitiated but it deserves mention because of its elegance.  The “factorial” for 5, for instance, is  5! = 5×4×3×2×1  =  120.  That same kind of  “count dawn”  works generally, with the quirky Zero case here being:

0!  =  1!  =  1

Much as for the Zeroth Power, the initiated might appreciate that for m  =  n :

=  m ! (m – n) !   =    n ! (n – n) !      n ! (0) !  =   n ! /  1    =   n !

This behavior or definition for  0 !  is necessary for calculating Probability with factorials.

The “factorial” is about the most rapidly growing function of an Integer, & it simplifies even the first few terms of an Infinite series, & more so a generic term.

That’s the easy part, because the other useful optional notation to augment the Infinite series Polynomial approach for use with the generic term is a “Summation” indicated by “Sigma”, the Greek capital letter “S”, namely Σ :

4

Σ n   =   4  + 1  =  10.    [like it or not, take it or not – optional]

n=0

Both a “limit” above & the Infinite series to be soon mentioned, “converge”, rather than “blow up”, for x  smaller than 1.  In the case of infinite series, an approximate value results after a limited number if terms.

For example & for practice, one Series of simple terms suggests modification of the shortcut approach to estimating “uncertainties” in Arithmetic.

1/(1 x)   =    1  +    +    x 2   +  x 3   +   x 4   ….    for small  x]

The same pattern holds for decimals. but is perhaps most easily seen for fractions of .99  & 1.01.  The approximate rule for “uncertainties” states that we keep the same number of “significant figures” as in  1.0/.99  ~  1.0   whereas  1.0/.99  ~  1.01  is more meaningful, even though a ratio of  2  figures  goes to an approximation with 3 figures.  But this treatment follows:

1/ .99   =   1/(1 .01)    ~   1  +  .01  +  .0001    ~    1  +  .01     =   1.01

Likewise, for a fraction of 1.01:

Correspondingly, the “same number of significant figures” yields as in  1.00/1.01  ~  .990   whereas  1.0/1.01  ~  .99  is more meaningful, even though a ratio of  3  figures  goes to an approximation with 2 figures.  But again, this treatment follows:

1/(1 + x)   =    1   –    +    x 2    –  x 3   +   x 4   ….    for small  x

1/1.01  =  1/(1 + .01)    ~    1   –  .01  +  .0001    ~    1   –  .01     =   .99

Aside from the series treatment, the consistency in both cases follows a  1%  “uncertainty”  &   %uncertainty is the truer rule.

In a similar vein, we can familiarize ourselves with Polynomial series with 2 similar approximations:

1/(1 x)2   =     1  +   2  +  3 x 2   + 4 x 3   +  5 x 4   ….    for small  x

&

1/(.99)2    =  1/(1 .01)2     ~    1  +  .02    =   1.02

1/(.99)3    =  1/(1 x)3   =     1  +  3  +  6 x 2   + 10 x 3   +  15 x 4   for small  x

&

1/(1 .01)3      ~    1  +  .03    =   1

To indicate these 2 Polynomial series in the above-mentioned  “Summation”  “Sigma” notation:

1/(1 x)  =       Σ  x n / n   =   1  +    +    x 2   +  x 3   +   x 4   ….    for small  x

n  = 0

1/(1 + x)  =  –  Σ  x n / n   =  –    –  x 2 / –  x 3 / 3  –  x 4 / 4    ….   small  x

n  = 0

1/(1 x)2   =  Σ  n x n –1    1  +   2  +  3 x 2  + 4 x 3  + 5 x 4     …. small  x                             n  = 1

1/(1 x)3  =  1/2   Σ  (n–1) n x n –2   =   1  +  3 +  6 x 2  + 10 x 3  + 15 x 4 

n  = 1

=   0  +  1/2  x  1  x  2  x  x0   +   1/2  x  2  x  3  x  x1   +   1/2  x  3  x  4  x  x 2   +   1/2  x  4  x  5  x   x 3   +   1/2  x  5  x  6  x   x 4

Some more selected verses from the Ramana Maharshi disciple Master Nome:

The basic premise of Non-Duality is that the Absolute exists & that the Absolute is identical with oneself.  Therefore, Self-Knowledge is equated with the Realization of the Absolute.  The basic premise of spiritual practice is that one knows that the Absolute exists & that realizing the Absolute is of utmost importance. This realization is Self-Realization. What is need for this Self-Knowledge, or Realization, is the relinquishment of the assumptions or concepts, that yield the Illusion of Bondage & Suffering.  Knowledge of one’s Being, as it is, yields enduring Freedom & Peace.  The true Self transcends the limitations of any kind of Individuality, Time, Birth, & Death. The Self is impersonal & is not confined to any Body or Individual.

One’s approach to one’s spirituality, meditation, & this Non-Dual Knowledge is of paramount importance, for the approach very much determines the experience. How one views anything determines how it appears to him.  Clarification of one’s understanding of oneself causes one to arrive at Self-Knowledge. To know this as being so, is itself the dawning of that Self-Knowledge.  Deep meditation dissolves the Ego, Ignorance, & Bondage of one who ardently meditates. Self-Inquiry within oneself to know oneself reveals the true Self to be limitless Consciousness, Absolute Being, & unconditioned Bliss.

This one’s very Existence.  One should continue meditating on the Teaching of Self-Knowledge by the practice of Self-Inquiry until one conclusively realizes the Self & abides without the least trace of Ignorance or Bondage. Listening (sravana), reflection (manana), & deep meditation (nididhyasana) are said to constitute ways of practicing Self-Knowledge.  Self-Inquiry: “Who am I ?”, knowing oneself free of mis-identification, & steady Abidance as the Self always, these are the inner experiences of listening (sravana), reflection (manana), & deep meditation (nididhyasana).

The above themes & 1600 pages more are freely available as perused or downloaded PDF’s, the sole occupants of a Public Microsoft Skydrive “Public Folder” accessible through:  

www.jpstiga.com/

http://jstiga.wixsite.com/nonduality/

or with Caps-sensitive:

http://sdrv.ms.YPOgkX/

Duplicates have been available on:

jstiga.wordpress.com/

[But from now on, they will be different & still usually daily.]

There is no Creation, no Destruction, no Bondage, no longing to be freed from Bondage, no striving for Liberation, nor anyone who has attained Liberation. Know that this to be Ultimate Truth.”   the “no creation” school of Gaudapada, Shankara, Ramana, Nome Ajata Vada

for very succinct summary of the teaching & practice, see:  www.ajatavada.com/

NMT (No-Me Teaching) new series 60

NMT (No-Me Teaching) new series 60:

Some   Ramana Maharshi quotes:

Your duty is to be, & not to be this or that.

All that is required to realize the Self is to be still.

The Self is not now understood to be Truth, the one Reality.

 The Truth of your Self alone is worthy to be scrutinized & known.  Taking it as the target of your attention, you should keenly seek to know it in your spiritual heart. This Knowledge of yourself will be revealed only to the Consciousness which is silent, clear, & free from the activity of the agitated & suffering Mind.

 Whenever you are disturbed by thoughts you need merely withdraw within to the Self This is not concentration or destruction of the Mind but withdrawal into the Self.

The Mind, turned outwards, results in thoughts & objects. Turned inwards, it becomes itself the Self. To ask the Mind to kill the mind is like making the thief the policeman. He will go with you & pretend to catch the thief, but nothing will be gained.

So you must turn inward & see from where the Mind rises & then it will cease to exist.

The Mind is only a bundle of thoughts. How can you extinguish it by the thought of doing so, or by a desire ?  Your thoughts & desires are part & parcel of the Mind. The Mind is simply enhanced by new thoughts rising up. Therefore it is foolish to attempt to kill the Mind by means of the Mind. The only way of doing it is to find its source & hold on to it. The Mind will then fade away of its own accord.

 It is with the inward-going Mind that you eliminate the outward-going Mind.

You do not set about saying there is a Mind & I’m going to kill it, but you seek the Source of the Mind. Then you will find that the Mind does not exist at all.

Prior to excerpting the Ramana Maharshi disciple, Master Nome in the text below we continue the series: Fine-Tuned Universe , the premise that a small change in several of the dimensionless fundamental physical constants would make the Universe incapable of Life.

[In the unreal reflection called the “Universe”, a product of an unreal Mind, even there, Infinite Intelligence is evident and inspiring.]

Fine-Tuned Universe 40:

The mechanism, Vitalism, & Teleology debates in the opening decades of the twentieth century had already been rehearsed in the responses to Henderson’s own attempts to reconcile the mechanical & the vital in a single system.

If the concept of “organism” had been the first major stumbling block for mechanism, psychology, or mind, raised the bar for mechanism even higher.

The structure of Henderson’s arguments was cast very much in the mode of  Claude Bernard’s earlier use of levels of explanation. Henderson vigorously rejected Haldane’s claim that “all attempts to trace the ultimate mechanism of Life must be given up as meaningless.” Instead, he countered with his own stand:

“And for my own part I am obliged to say regarding Haldane’s statement, ‘The phenomena of Life are of such a nature that no physical or chemical explanation of them is remotely conceivable,’ that is true only in a sense quite different from its apparent meaning.” In having to confront the anti-mechanism of Haldane, Henderson further identified his own location as he attempted to reconcile the worlds of life and matter.

In 1917, Haldane noted that with the wide adoption of natural selection the nineteenth-century conception

of Teleology had largely dropped from scientific discourse. He further noted that Henderson accepted Natural Selection, yet wanted to maintain a version of Teleology based on the physical properties of matter in the Universe & the organisms existing in a functional relationship – the Teleological arrangement: avoids all.

The tools of modern molecular biology have given us an astonishing capability to examine, modify, deconstruct, & reconstruct the molecular components of cells to see how they respond to our tinkering. The simplest cells (such as those of the primitive intracellular parasite Mycoplasma genitalium appear to have

fewer than a thousand proteins. That number of catalysts is still very complicated, & we have as yet no conceptual tools for understanding a network of reactions of  such complexity. But this level of complexity does not, in principle, seem unreachably beyond our understanding. A cellular network of a thousand proteins – catalysts & molecules that sense, signal, and control passage across membranes; act as the

structural skeleton; & perform many other functions) talking to one another in groups through the compounds they produce seems to be something that we will be able to disentangle. Certainly, those who call themselves “systems biologists” believe we will. Still, the path that scientists are now following in trying to understand the molecular basis of Life will test their creativity & strain their endurance: first, understanding the pieces of the networks as thoroughly as possible; then, perhaps, devising a computer model of a cell; and ultimately, in some distant future, validating the correctness of the principles suggested by this model by designing a set of reactions entirely different from those in the cells we now know. It is one thing to analyze a Bach fugue; it is quite a different thing to play one, or to write one, or to create the kind of communication between humans that we call “music.” We shall, I confidently believe, eventually analyze the fugue of Life – the interplay of metabolic processes in the cell – as a network of compartmentalized, adaptive chemical reactions that can, astonishingly, replicate repeatedly into identical, distinct, separate networks. This is a very difficult job, but one that we humans can accomplish. But where did the cell come from ?  How did this wonderfully, astonishingly complex system come into existence ?

We do not know. If it is very difficult to understand the operation of cellular life as we observe it today, it is even more difficult to understand how it might have originated in the Past. Thoughtful, deeply creative people from a wide range of backgrounds have been captivated by the question of the Origin of Life. There is no shortage of ideas about pieces of this puzzle. We know how the surfaces of minerals might have

provided elementary, non-biological catalysts to start the process & how heat or sunlight might have contributed other reactions. We can guess why certain types of molecules & reactions tend to occur in metabolism. We understand how any number of plausible natural events occurring in a conceivable pre-biotic Earth – events that formed complex mixtures of chemicals in geothermal vents, in lightning, on impacts, & under intense solar irradiation – might have contributed relevant bits of chemistry.

But we do not understand how something as subtle & complicated as the network of reactions that we recognize the cell to be – a network both responsive & robust – might have emerged from these rudimentary processes. How could a chemical sludge spontaneously become a rose, even with billions of years to try ?

We can take two approaches in our research directed toward the Origin of Life: reasoning backward & reasoning forward. “Backward” starts with Life as we know & characterize it now – cells, DNA, RNA, enzymes, membranes, metabolites, membrane receptors, channels, & import/export proteins – & extrapolates back to simpler & simpler systems to try to infer an Origin. This approach has been spectacularly successful in “reverse engineering” Evolution, at least part of the way; but it has always been guided by examples provided by the types of cells that are now alive. Still, there seems little doubt that Evolution could proceed once there was a primitive cell, with RNA or an RNA-like molecule, & reactions that used RNA as a catalyst & also translated RNA into protein or protein-like catalysts that were part of the network of reactions.

Several hundreds of millions of tidal pools, together with enormous volumes of lakes & oceans, over several hundreds of millions of years provided many opportunities to produce cellular & organismic complexity. This part of the development of the complexity of Life no longer seems to be a serious issue, at least conceptually. And the anatomical & physiological structures that now so enthrall us – the eye, the ear, the kidney, tentacles, muscles – these all seem to me trans-fixingly interesting products of Evolution, but not ones whose origins are incomprehensibly improbable.

If we & the squid have the same camera eye, why not ?  With enough tries, “best” solutions are bound to emerge many times. If some creatures walk on 2 legs, some on 4, some on 6 or 8 – again, why not ?  Many solutions may work well enough to survive the rigors of Evolutionary selection.

Calculus for Yogis, part 3

Previously we noted that the Derivative of a Variable raised to a higher order  n  where the Coefficient was say 5 would get a Coefficient of 5 n  & have the Variable brought down to n–1, as in 6 down to 5, & so on.

Thus the Derivative of   5 x6 ,   =  6  x 5  x6–1  =  30 x5

This Power Rule, makes taking the Derivative of a Polynomial simple.

When several terms with Variables of various Powers are added together [possibly to include minus signs], we can take Derivative of the resulting “polynomial”, term by term, separately. We can just add the Derivatives of the individual terms so that the Derivative,

d y / d  of   y  =   5 x6    6  x3   +  10 x    +  4   becomes:

d y / d x   =   30 x5    18 x2   +  10    

This additive simplicity, & that of the “Power-Rule” sketched out above, encourage us to stick with Polynomials in this elementary discussion.  Some other kinds of functions can be represented as “series”, which resemble Polynomials with an infinite number of terms.  By taking the Derivative, or “differentiating” each term, we can explore the elementary Calculus of some other functions as well, such as the Exponential function & some Trigonometric functions.

Many of us know that  π  is a very special number. It’s called a Transcendental number because it has a specific value, but the decimal representation goes on forever, with no final repetition of patterns in the numerals. So we can never really represent the entire decimal of  π.  But we know that it is “there somehow”, a definite  π that is the ratio of the Circumference of a circle to its Diameter. Now the Diameters is twice the Radius & the Radius is more useful in many discussions.  So it’s often said that instead of the Circumference being  π times of Diameter, we say it’s 2 π times the Radius.

Like  π  then, there are other special Transcendental numbers, a couple of which we will be mentioning.  The 1st of these other numbers is named for a mathematician named Euler whose name began with  e  & so it is called  e.  And  e  is also conveniently the 1st letter of the word “Exponent”, so when we raise  e  to an Exponent, we actually call it the Exponential function  as  in   ex  which is also designated Exp (x).  Convenient for our Analogies, “e” can also remind us of “Ego”.

As we indicate below, the Exponential function  Exp (x)  =   ex ,  stands, as it were, “outside” of Time in that both the Future projection (Derivative) & the Past memory (Integral), in the simplest case, come back as ex  itself, identical without change.  This compares with taking close-ups of graph of  ex.

First, we do well to consider the “diagonal” line:   y  =  x ,  set to one square page such that the line spans the diagonal, from the lower left corner to the upper right corner.  If we were to take a close-up of the line graph at any portion, & the blow that portion to fill another square page, the result will look the same, be the same as the original square page.  Much the same be demonstrated for any other straight line, but such is not the same for almost all curves.  But it is strikingly the case for ex.

We can again set  ex  or even  et  [t  for time] similarly to one square page so that the “Past” tail arises from the lower left corner & approaches the upper right corner at the “Future” rising wall.  For consistency of observation, if we “stand” in mid curve & look back on e or even  et  , toward the “Past”, it always looks rather flat, like not much increase has occurred so far.  If we look forward toward the “Future” rising wall it appears sheer & steep.  “Past”, it always looks rather flat, like not much increase has occurred so far.

If we were to take a close-up of  ex  at any portion, & the blow that portion to fill another square page, the result will look the same, just like the straight line. This supports the earlier intuition & observation that the Exponential function stands “outside” of Time in that both the Future Derivative & the Past Integral come back as ex  itself.

Some more selected verses from the Ramana Maharshi disciple Master Nome:

The negation of attributes & limited definitions of Brahman, as given in such spiritual instructions, must be understood to be the negation of attributes & limited definitions of the Self.  If the instructions are to be applied to oneself, those instructions involve the negation of superimpositions, of what is not the Self, upon the Self.

The descriptions of the Self & the negation of attributes & limited definitions of the Self would be meaningless if they referred to some sort of other “Self” different from the aspirant’s own self.  Such negations would further clarify that the Self is bodiless, non-sensory, without prana (“life force or energy”), free from thought, etc.

There are not 2 selves in the same one being (apparent person or human being).  There is 1 Self, & when known as it is, the Self is known to be Infinite & Eternal, not a limited individual being, but just Non-Dual Being.

To realize this, the Knowledge of oneself as the Self, free from the Body & such, this Knowledge must become as certain & steady as the belief of a human being that he is a human being. No human being doubts this on any occasion.

When that human being determines by Self-Knowledge what, in Truth, that Existence is, that Being exists, then Absolute Being is known. And if that Knowledge is without doubt & without wavering, one has thus known what needs to be known, has experienced what needs to be experienced, & has realized what needs to be realized.

The above themes & 1600 pages more are freely available as perused or downloaded PDF’s, the sole occupants of a Public Microsoft Skydrive “Public Folder” accessible through:  

www.jpstiga.com/

http://jstiga.wixsite.com/nonduality/

or with Caps-sensitive:

http://sdrv.ms.YPOgkX/

Duplicates have been available on:

jstiga.wordpress.com/

[But from now on, they will be different & still usually daily.]

There is no Creation, no Destruction, no Bondage, no longing to be freed from Bondage, no striving for Liberation, nor anyone who has attained Liberation. Know that this to be Ultimate Truth.”   the “no creation” school of Gaudapada, Shankara, Ramana, Nome Ajata Vada

for very succinct summary of the teaching & practice, see:  www.ajatavada.com/

NMT (No-Me Teaching) new series 59

NMT (No-Me Teaching) new series 59:

Some   Ramana Maharshi quotes:

Man is always the Self & yet he does not know it.  Instead he confounds it with the non-Self, Body. etc.  Confusion is due to Ignorance.  If Ignorance is wiped out, the confusion will cease to exist & the true Knowledge will be unfolded.

 The thought “I have not realized”, the expectation to become realized, & desire of getting anything. are all the of the workings of the Ego.

 Be what you are.  All that is necessary is to lose the Ego. That which is, is always there. 

 Even now you are that.  You are not apart from it.

 The degree of the absence of concepts is the measure of your progress towards Self- realization. But Self-Realization itself does not admit of progress, it is ever the same. The Self remains always in Realization.

 The obstacles are concepts. Progress is measured by removal of obstacles to understanding that Self is always realized.  So thoughts must be checked by seeking to whom they arise.  Go to their source & they will not arise.

 When one daily practices more & more abiding in the heart, the Mind will become extremely pure due to the removal of its defects, & the practice will become so easy that the purified Mind will plunge into the heart as soon as the Inquiry is commenced.

 When you enter the inner stillness of Being,  the heart-going Mind is called the resting Mind.

 When unity is replaced by a variety of perceived phenomena, it’s called outgoing Mind.

 Know that the Consciousness always shines as the formless Self, the true “I”.

Prior to excerpting the Ramana Maharshi disciple, Master Nome in the text below we continue the series: Fine-Tuned Universe , the premise that a small change in several of the dimensionless fundamental physical constants would make the Universe incapable of Life.

[In the unreal reflection called the “Universe”, a product of an unreal Mind, even there, Infinite Intelligence is evident and inspiring.]

Fine-Tuned Universe 39:

One of the earliest, but also the fullest, reviews of Henderson’s “Fitness of the Environment” appeared in Science (1913).

“This book is essentially a discussion of the nature & implications of organic adaptation, that is, of the relation between the living organism & the Environment, but is written from an unusual point of view, with the  full identification of Carbon, Hydrogen, & Oxygen &their unique characteristics which make possible the production of living protoplasm.”

They demonstrate “the  greatest possible fitness for Life”.   Included was the transfer of the conception of Fitness from the Organic to the Inorganic Environment, which thereby achieves the reciprocal nature  of biological adaptation. However, Henderson had not dealt with adaptation is, as a general condition or process nut not in detail with the organism itself & the interrelation between organisms & the  Environment.

Of course, the Universe is a fit environment for Life because it continues to exist in it. Granted, systems  having the properties of living beings could not have arisen had the properties of Carbon, Hydrogen, & Oxygen, & of their combinations, been other than they are.  Most biologists would see the central thesis Henderson advanced  as either self-evident or inherently unprovable.

Henderson said this World is the best possible Environment for the organisms that came to live in it, but what of other  organisms in a different cosmos ?  Biologists saw the book as an essay on the elements & compounds that form protoplasm, thus calling attention to often  overlooked “facts & principles”.

Questions remained regarding  the final significance of biological adaptations, Henderson showed surprise that the Environment & the organism possess similar characteristics. The surviving  organic forms are those that have been able to maintain equilibrium with their  Environment.  If conditions change & organisms can’t compensate, they will fail.  That, after all, is what Natural Selection is all about. The task of biological science is thus left where we found it: to account for the characteristics of organisms on the basis of the physico-chemical characteristics of their component elements & compounds  & to demonstrate how these living characteristics are formed  by the Environment. That means that Life was somehow potential or implicit in matter, in the Universe.

Such a statement can have little meaning, since it is remote from the possibility of  verification.   J. D. Bernal, the materialist, in his book The Origin of Life (1967) summed it up succinctly: all of Henderson’s evidence shows that “Life had to make do with what it had, for if it failed to do so it would not have been there at all.”

Is there a way out by postulating a Universe bio-centric from its inception ? Complexity, peculiarities, & stability of organisms would be unintelligible except for something of this sort.  How then  is it possible to reconcile Teleology & the existence of will & purpose in Nature with the existence of a physico-chemical determinism which appears the more rigid, the further scientific analysis proceeds ? This question would require biological knowledge for a solution if one is ever achieved.  Henderson’s book points biologists to the “importance & urgency of these questions.

Raymond Pearl, the population biologist, opened his 1913 review with reference to a metaphysical diversion “of my academic & intellectually irresponsible youth,” in which orthodox Darwinism was turned on its head. “Is there  not quite as much justification, so far as the objective facts of Nature are concerned, for one to say that the Environment is adapted to the organism as there is for him  to make the converse propositions ?”

Could natural selection, “or any other mechanistic hypothesis,” stand up to the task ? Before Henderson’s “Fitness”, no systematic efforts had been made to examine the fitness of the elements of the Environment for sustaining Life.  Henderson’s own examination was in many ways a remarkable one. He showed “conclusively” that the known Environment of the Earth is better adapted to the needs of organisms than any other that could be constructed.

Henderson showed that “existing science” was unable to give any “satisfactory mechanical explanation” to the reciprocal Fitness of organism & Environment while not ruling out its possibility. Here was a Teleology in the form of a purposive tendency working steadily through the whole process of Evolution.

This tendency is not something which can be weighed or measured but is rather an original property of matter “assumedly not by chance, which organized the Universe in Space & Time.” In other words, it falls beyond  the bounds of science. Pearl called “Fitness” a “logical sequel to the Origin of Species.”

Calculus for Yogis, part 2

Mentioned in last section regarding the traditional difference between Variables  “ x” & “ y” we considered “Dependent” & “Independent” Variables; “Intensive” & “Extensive” Variables.  Taking the pair 1st: intensive & extensive, we can note that extensive Variables compare to gross amounts, while intensive Variables can represent more abstract principles, less measurable like Qualia.  In that sense these latter tend to be more “Non-Dual”, less gross & densely material.  Where such an Analogy breaks down is along the dependent independent  axis thought to often run parallel to the  “ y x”  or intensive extensive polarity.

In general, the Derivative is a projection from the recent Past pointing to the immediate Future.  This is the way we navigate in life, taking the very recent Past, & projecting the expected Future.  So the Derivative, as well as being a slope, is a prediction, a projection, a best guess as to the immediate Future behavior of   y  , given the immediate Past behavior.

What happened to  y  over the recent change in  x  becomes our best guess for what will happen to   y   in the next-most change.  So the Derivative is all about our anticipation of the Future, our hopes & our fears, our guesses, with successful guessing balanced by reasonable projections.  Since seeking Happiness, dictates all our choices, a projection in the immediate Present, pointing towards an estimated Future, like the Derivative is like an arrow aiming at, seeking, pointing to desired Happiness, at least in our Analogy.

The other shoe coming down under the foundation of Calculus, the twin counterpart to the Derivative, is the inverse of the Derivative. This  inverse is called the Integral. The Integral, which we will also attempt to simplify, establishes a longer record of the previous Past, accumulating results, averaging to some extent, & establishing a base of Reality & Identity, again least in our Analogy.

One could almost say that the Derivative was a continuous reevaluation. our changing of our course.  But actually the course is an issue of the curve itself, the Function.  That’s the course over Time, or over Space, are over Angle etc. Applied to the Derivative, this is an ongoing perspective, how I look ahead, a viewpoint.

In that sense  the Derivative does compare with the actual motivation for every changing course, every maintaining the course, every choice & decision.  That motivation is the seeking of Happiness, & so that is one of the Analogies for which we can use the Derivative.  The Integral on the other hand is more like the accumulation of Memory, of things learned, of opinions solidified, by accumulation over Time, or Space, or Angle or whatever.

An interesting feature in Math is a small raised number or Variable put immediately to the right of a number or variable such as 3 or  x.  This raised, small number is called the Exponent & it tells you how many times to multiply the number or Variable by itself.

So  x  to the 1,  x1   means multiply    by itself just one time (1x)  & so it just  =   x .

An Exponent of  2, as  in   x2   or   x   “squared”  means we multiply   x   times   x  ,

If    happened to be 4,   that latter would mean, multiply 4 x 4  = 16.

Continuing our elementary introduction to Calculus, we can look at the Derivative of any simple Term, which means a Variable to a given Power or Exponent, with a leading numerical Coefficient.

So a term like 7 x “cubed”  or 7 x3 “to the 3”  has a Derivative of  d y / d x  when  y  equals 7 x  to the 3 that is simply found by taking the Exponent to multiply the Coefficient & then dropping the Variable to a Power or Exponent that is 1 less.

So the Derivative of the 7 x3  is  3 times  7  x2   =  21  x2    & this applies to every Power.

Now in our story of elementary patterns in Calculus, it is interesting to look at various Exponents or Powers of the number, or Powers of a Variable, including taking  x  to the 0  (Zeroth) Power & multiplying it by any Coefficient.

To multiply something by itself is 0 times does not leave you with 0.  It curiously leaves you with  1.

For those a little more familiar with Algebra, this can be easily seen (without the distraction of fuller explanation for now) on the following:

=  xa / xa  =   xa–a   x0

So no matter what be the number or Variable that is raised to the 0 power, the result equals 1.  In that sense. when we put a number in front of  x0, this is just that number times 1.  So,  7 x0   simply  =  7  x  1  =  7.

So we end up just with the Coefficient, the number, because  x0   =  1.  Inversely,  7  =  7  x  1   =  7 x0  so we can see that the Derivative of a constant number has us multiplying the Coefficient by Zero.

So when we take the Derivative of a simple number, we can first think of that as that number multiplied by 1, or that number multiplied by some Variable x  to the  0  Power  because the latter is simply 1.

So using the “Power Rule” exemplified above, the Derivative of  7  =  7 x0  will be 0 times the 7  & so  =  0.

So a Constant number or a function like  y  =   5  has Zero or “no” Derivative.  Seeing that its graph is a horizontal flat line, it makes sense that it has no slope.

Along with the Zeroth Power case, the First Power is another kind of “special” & simple case.   First we note that the Power, 1, multiplies the Coefficient, leaving it unchanged. Then, dropping the Variable to a Power or Exponent that is 1 less, this reduces the First Power to the Zeroth Power, or the number 1.  The Derivative then is just the Coefficient, the number when the Variable to the Zeroth Power equals 1.

So for the Derivative of a Term with the next higher power,  7 x  =  7  x1 ,  we take the 1 & multiply the 7 by the 1 & drop the power of  x   to  0  which equals 1 so did Derivative of 7  x1   = 7×1 = 7.   So the Derivative of a number times a simple  x   is just a number itself.

Some more selected verses from the Ramana Maharshi disciple Master Nome:

Consciousness is self-luminous. By the light of Consciousness, all appears.  When Consciousness disappears, Consciousness is still the same.  The known has no light of its own. Inquiring, one should trace the Light inward to realize that which is perpetually illuminating.  That ever-shining colorless Light illumines the Senses & the Mind, but can never be seen by the Senses, or envisioned by the Mind.  Knowledge, or direct experience of this Light consists of the Identity with that Light.  Changeless, blemishless, ever-free, immovable, eternal, bodiless & imperishable, without Ignorance or Knowledge, the Self is of the nature of Consciousness alone.

Existence, the Self, is the sole, ever-enduring, Non-Dual Reality.  The aspirant can know Absolute Being or Brahman, only if the aspirant is identical with Brahman. The aspirant cannot know That if That (Brahman) is different from the aspirant. The Self, being Non-Dual Consciousness, cannot know anything or anyone other than Consciousness.  The Self, being the sole-existent Consciousness, cannot be known by another.  The Self alone can know itself.

There would be no use for the countless descriptions of the Absolute by the Scriptures & the holy Sages if That, the Self, were other than one’s own Self. There would also be no use for the negation of all limited definitions if That, the Self, were other than one’s own Self.  For what purpose would be served by speaking of something that was never experienced by those Sages, those authors of the Scriptures, something could never be experienced by all ?

The above themes & 1600 pages more are freely available as perused or downloaded PDF’s, the sole occupants of a Public Microsoft Skydrive “Public Folder” accessible through:  

www.jpstiga.com/

http://jstiga.wixsite.com/nonduality/

or with Caps-sensitive:

http://sdrv.ms.YPOgkX/

Duplicates have been available on:

jstiga.wordpress.com/

[But from now on, they will be different & still usually daily.]

There is no Creation, no Destruction, no Bondage, no longing to be freed from Bondage, no striving for Liberation, nor anyone who has attained Liberation. Know that this to be Ultimate Truth.”   the “no creation” school of Gaudapada, Shankara, Ramana, Nome Ajata Vada

for very succinct summary of the teaching & practice, see:  www.ajatavada.com/

%d bloggers like this: