The Complex Plane.
--
Whatever I have discovered in my life is not sheer serendipity, but there is something rather very deep that extends to the past lives. Not my or others's but the collective as such. For 'LIFE' as such is no personal, collective or impersonal but only the 'Individual' / 'Indivisible' WHOLE.
We can't segregate 'LIFE' as my / your / our's / their's ...
I owe much to The De Moivre's Theorem that I came across while studying Mathematics during my College days. Friends would sure laugh at me that I've so far not recovered myself from the grip of imaginary planes.
I began to doubt Science and Mathematics because there are limitations. Science and Mathematics both have foundation upon 'concepts' only. The concepts are verbal formulations of 'knowledge' acquired and supposedly 'verified' / 'proved' (true) by testing the various 'Hypotheses' that are initially based on 'concepts' only.
Looks incredible?
But when De Moivre's Theorem told me that we have use of the imaginary number; -the square root of the number -1, ... I was just struck by the apparent contradiction.
That is what caused in me disbelief over the way we have 'Developed' our irrational ideas to an utter absurdity.
By the way, I had come across the imaginary number also while studying 'surds' which plainly tells us how 'the square-root of the number 2' (itself) is an irrational number, that means : it could not be expressed in terms of division of two whole numbers.
So the very foundation that 'the square-root of the number 2' is irrational but still agreeable is quite obvious, -the square root of the number -1 / 'minus 1', is equally stretching beyond the limits of the sane logic.
And though De Moivre managed to 'eliminate' it in the effect of deriving His Theorem, it doesn't prove that This number holds validity as well.
While going through the study of
The Complex Plane (The near about cognate / सज्ञाति of the Sanskrit Roots सं प्लुष / सं प्लक्ष + प्लं ) is a model in Mathematics that deals with the Real Line 'X' (-the real numbers) in relation to the Complex / Imaginary Line 'Y'.
Summarily :
x + iy
is a number represented by and in this 'Complex Plane'.
Nevertheless this Plane has its own ramified Mathematics' that helps us greatly in understanding and explaining the Physics and Technical aspects of Knowledge, the basic idea is to marry a real quantity with an imaginary one that is somewhat disturbing.
--
The Closed-contours and the Open-Contours in studying the functions of a Complex Variable attracted me very much because I genuinely felt the two are the labyrinthine routes where intellect gets stuck. They are fake knowledge, not the wisdom. However they may help us greatly in transcending the intellect, if we will.
During and after completion of my College, I happened to be involved in the J.Krishnamurti affair, where I found out a parallel in His approach .
He talks of the 'self' which to me, quite resembles with this 'iy' in the Complex Plane and perhaps He is trying to point out how the elimination of this 'self' be done by means of 'enquiry' (Though the word 'enquiry' itself' is derived from en-query and thus means 'quest' ...)
In His own words :
"Self-knowledge is awareness of the self without division; and as long as there is no self-knowledge, the multiplication and re-creation of our problems will continue…Only through self-knowledge can there be transformation, and this transformation cannot come into being through any miracle, through book learning, but only through constant experimentation, through constant discovery of the process of one's being."
- J. Krishnamurti, Talk 11, Bombay, 28 March 1948.
As far as my study of the origin of Languages is concerned, I myself found out how the
'Derivation-Theory'
of various languages itself holds no valid ground.
However, there could be a Theory of 'cognate / सज्ञाति of the Sanskrit Roots' which can help us understand how the many languages evolved out and gradually developed independently in different ways.
The above hypothesis is also duly supported by the How the 10 Grammars of Sanskrit explain the derivation of the Sanskrit Language in particular and all the other languages in General, 10 different ways,
The idea behind writing this post came to me because of the thought of the concept of 0 and 1.
The Real Mathematics deals with numbers mostly the Real.
But 'SAnkhya' suggests that 0 and 1 are but concepts; -though 'Mathematical', are distortion of :
The Reality.
J.Krishnamurti comes here to rescue us.
He rightly points out :
"The Description is not the Described."
Again Devi-Atharva SheerSha / देवी-अथर्व-शीर्ष too points out in the same vein :
अहम् शून्या अशून्या च
(I AM Described as 0 ; and 1 as well)
The same text Devi-Atharva SheerSha / देवी-अथर्व-शीर्ष enunciates that Language evolved in two ways : First the one that is spoken by the animals. And the same that was 'delivered' by Devi -The Goddess named Aditi, -The Mother Principle that 'Devata' were born of.
Literally The Mother Principle / The 'Intelligence' Principle, sanctified the Language in terms of detailed purification of the Language that animals speak. The word 'animal' here, is not in a derogatory sense, but is meant to say that the Language that originated from 'Nature'/ प्रकृति was in the primary stage of evolution. The Mother Principle / The 'Intelligence' Principle made it pure and enriched it too so as to be used for conveying the Higher and the Greater Reality.
So, Intelligence is prior and beyond the intellect.
The 'intellect' is a personal asset, while The Intelligence is a Principle, common and individual / indivisible to all.
--
The 10 Grammarians of Sanskrit merely devised 10 approaches to understand the basics and elements essential to imbibe this nectar The Sanskrit'.
--
May This Dipavali / दीपावलि bring Light of Wisdom in the life of all.
GREETINGS !!
--
--
Whatever I have discovered in my life is not sheer serendipity, but there is something rather very deep that extends to the past lives. Not my or others's but the collective as such. For 'LIFE' as such is no personal, collective or impersonal but only the 'Individual' / 'Indivisible' WHOLE.
We can't segregate 'LIFE' as my / your / our's / their's ...
I owe much to The De Moivre's Theorem that I came across while studying Mathematics during my College days. Friends would sure laugh at me that I've so far not recovered myself from the grip of imaginary planes.
I began to doubt Science and Mathematics because there are limitations. Science and Mathematics both have foundation upon 'concepts' only. The concepts are verbal formulations of 'knowledge' acquired and supposedly 'verified' / 'proved' (true) by testing the various 'Hypotheses' that are initially based on 'concepts' only.
Looks incredible?
But when De Moivre's Theorem told me that we have use of the imaginary number; -the square root of the number -1, ... I was just struck by the apparent contradiction.
That is what caused in me disbelief over the way we have 'Developed' our irrational ideas to an utter absurdity.
By the way, I had come across the imaginary number also while studying 'surds' which plainly tells us how 'the square-root of the number 2' (itself) is an irrational number, that means : it could not be expressed in terms of division of two whole numbers.
So the very foundation that 'the square-root of the number 2' is irrational but still agreeable is quite obvious, -the square root of the number -1 / 'minus 1', is equally stretching beyond the limits of the sane logic.
And though De Moivre managed to 'eliminate' it in the effect of deriving His Theorem, it doesn't prove that This number holds validity as well.
While going through the study of
The Complex Plane (The near about cognate / सज्ञाति of the Sanskrit Roots सं प्लुष / सं प्लक्ष + प्लं ) is a model in Mathematics that deals with the Real Line 'X' (-the real numbers) in relation to the Complex / Imaginary Line 'Y'.
Summarily :
x + iy
is a number represented by and in this 'Complex Plane'.
Nevertheless this Plane has its own ramified Mathematics' that helps us greatly in understanding and explaining the Physics and Technical aspects of Knowledge, the basic idea is to marry a real quantity with an imaginary one that is somewhat disturbing.
--
The Closed-contours and the Open-Contours in studying the functions of a Complex Variable attracted me very much because I genuinely felt the two are the labyrinthine routes where intellect gets stuck. They are fake knowledge, not the wisdom. However they may help us greatly in transcending the intellect, if we will.
During and after completion of my College, I happened to be involved in the J.Krishnamurti affair, where I found out a parallel in His approach .
He talks of the 'self' which to me, quite resembles with this 'iy' in the Complex Plane and perhaps He is trying to point out how the elimination of this 'self' be done by means of 'enquiry' (Though the word 'enquiry' itself' is derived from en-query and thus means 'quest' ...)
In His own words :
"Self-knowledge is awareness of the self without division; and as long as there is no self-knowledge, the multiplication and re-creation of our problems will continue…Only through self-knowledge can there be transformation, and this transformation cannot come into being through any miracle, through book learning, but only through constant experimentation, through constant discovery of the process of one's being."
- J. Krishnamurti, Talk 11, Bombay, 28 March 1948.
As far as my study of the origin of Languages is concerned, I myself found out how the
'Derivation-Theory'
of various languages itself holds no valid ground.
However, there could be a Theory of 'cognate / सज्ञाति of the Sanskrit Roots' which can help us understand how the many languages evolved out and gradually developed independently in different ways.
The above hypothesis is also duly supported by the How the 10 Grammars of Sanskrit explain the derivation of the Sanskrit Language in particular and all the other languages in General, 10 different ways,
The idea behind writing this post came to me because of the thought of the concept of 0 and 1.
The Real Mathematics deals with numbers mostly the Real.
But 'SAnkhya' suggests that 0 and 1 are but concepts; -though 'Mathematical', are distortion of :
The Reality.
J.Krishnamurti comes here to rescue us.
He rightly points out :
"The Description is not the Described."
Again Devi-Atharva SheerSha / देवी-अथर्व-शीर्ष too points out in the same vein :
अहम् शून्या अशून्या च
(I AM Described as 0 ; and 1 as well)
The same text Devi-Atharva SheerSha / देवी-अथर्व-शीर्ष enunciates that Language evolved in two ways : First the one that is spoken by the animals. And the same that was 'delivered' by Devi -The Goddess named Aditi, -The Mother Principle that 'Devata' were born of.
Literally The Mother Principle / The 'Intelligence' Principle, sanctified the Language in terms of detailed purification of the Language that animals speak. The word 'animal' here, is not in a derogatory sense, but is meant to say that the Language that originated from 'Nature'/ प्रकृति was in the primary stage of evolution. The Mother Principle / The 'Intelligence' Principle made it pure and enriched it too so as to be used for conveying the Higher and the Greater Reality.
So, Intelligence is prior and beyond the intellect.
The 'intellect' is a personal asset, while The Intelligence is a Principle, common and individual / indivisible to all.
--
The 10 Grammarians of Sanskrit merely devised 10 approaches to understand the basics and elements essential to imbibe this nectar The Sanskrit'.
--
May This Dipavali / दीपावलि bring Light of Wisdom in the life of all.
GREETINGS !!
--
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