Conmathematics (Conceptual Mathematics) : The Superultramodern Mathematics (SM) by Dr Kedar Joshi

Conmathematics (Conceptual Mathematics) : The Superultramodern Mathematics (SM) by Dr Kedar Joshi

The term Conmathematics [ invented by Kedar Joshi (b.1979), Cambridge (England), i.e. myself ] means Conceptual Mathematics. It is a meta - mathematical system that defines the structure of Superultramodern Mathematical Science. (Conmathematics means that modern/ultramodern mathematics is not as conceptual as it should be.)

It has four main components.

1. Conmathematical Definition of Mathematics :

a) Conmathematical definition of pure mathematics - Pure mathematics is a system of 100% precise propositions believed to be 99.999...% certain ( the 0.00...1 % margin in the belief being for the sake of universal doubt : the principle that 'anything may be possible.').
Precise means every term of a proposition is absolutely clarified, and every non - axiomatic proposition is supported on the basis of axiomatic one/s leaving no doubt, except the universal doubt. It is very possible that some of the mathematical propositions are not clear ( or understandable ) to some persons. And, some of the propositions are less than 99.999...% certain to some persons. This possibility effectively gives rise to the possibility of multiple mathematical systems according to the nature of the individuals concerned, though truth is believed to be existing independent of individual minds. The principle of universal doubt makes it necessary to review the mathematical systems continuously so that in future they may not be seen to be mathematical at all.

b) Conmathematical definition of applied mathematics - Applied mathematics is a system of propositions constructed by applying some or all of the pure mathematical propositions to deal with ( i.e. to explain and / or predict ) phenomena that are believed to be less certain than the phenomena expressed by pure mathematical propositions.
For example, I cannot believe the law of gravity ( the law that every matter, in principle, attracts every matter out of some force or curvature of space - time ) to be 99.999...% certain, as I can imagine a universe where the law of gravity is invalid ( i.e. where every matter distracts every matter out of some force or absence of space - time curvature ).

2. Philosophy as Mathematics :

According to the conmathematical definition of mathematics, the core ideas in ultramodern science / philosophy, though appearing to be philosophical, are, in fact, mathematical. For example, the axiomatic component of the NSTP ( Non - Spatial Thinking Process ) theory is pure mathematical, while its hypothetical component is applied mathematical.

3. Conceptual Reconstruction of Pure Mathematics :

It entails some flaws in modern pure mathematics and the ultramodern reconstruction of pure mathematics, free of those flaws. Some of the flaws are mentioned below.

a) Flaw in the concept of hyperspace - The Joshian conjecture of 3 dimensional space [ that space, whether appearance or reality, can have 3 and only 3 dimensions ( The conjecture is based on two grounds : i. The NSTP theory implies falsehood of the ontology of general relativity. ii. Four or higher dimensional space cannot justifiably be imagined. ) ] implies that the concept of hyperspace is invalid. And the flaw in the concept of hyperspace has following implications :

i. The Riemann hypothesis ( which asserts that all interesting / non - trivial solutions of the zeta function equation lie on a straight line Re (z) = 1 / 2 ) shall never be proved as it is based on the concept of four - dimensional space. ( Then still how the Riemann hypothesis turns out to be correct for the first 1,500,000,000 solutions is in the same category as the mathematical / experimental success of the general relativity, despite of the background physics of the NSTP theory. )

ii. The Poincare conjecture [ if 3 dimensional sphere ( the set of points in 4 dimensional space at unit distance from the origin ) is simply connected ] shall neither be proved nor be disproved as it is based on the concept of four - dimensional space as well.

iii. Andrew Wiles' proof ( entitled : Modular elliptic curves and Fermat's last theorem ) of Fermat's last theorem ( the theorem that there are no whole number solutions to the equation x^n + y^n = z^n for n greater than 2 ) is flawed as it is also based on the concept of four - dimensional space.

b) Flaw in the concept of irrational number - An irrational number ( e.g.2 ) is not really a number at all as no number can be a square root of 2. ' 2', for example, is a mere symbolic way of saying square root of 2 without actually presenting it, as any way it does not exist.

4. Conmathematical Foundations of Pure Mathematics -

These are in contrast with the symbolic or, in particular, set theoretic foundations of pure mathematics ( as laid out in Bertrand Russell's Principia Mathematica ). The conmathematical foundations are conceptual ( though symbolism itself is a concept ) which attempt to define number, for example, as a symbolic representation of quantity and justify the equality a + b = b + a on the reason that in scalar addition order is irrelevant ( and, if possible, to decompose this concept or a group of concepts further ).




About the Author
http://superultramodern.blogspot.com

The NSTP (Non - Spatial Thinking Process) Theory as a Masterkey : Non - Spatial Universal Mechanics by Dr Kedar Joshi

The NSTP (Non - Spatial Thinking Process) Theory as a Masterkey : Non - Spatial Universal Mechanics by Dr Kedar Joshi

The NSTP ( Non - Spatial Thinking Process ) theory, a published invention (2002) of Kedar Joshi ( b. 1979 ) (i.e.Myself), a Cambridge ( England ) based philosopher, is a position that, in computer terminology, regards Universe as a Non - Spatial Computer and Space as a Virtual Reality (UNSCSVR). This model of reality can resolve the mysteries surrounding quantum mechanics ( e.g. the wave - particle duality, the EPR ( Einstein - Podolsky - Rosen ) paradox, the Schrodinger's cat paradox ), Zeno's paradoxes, the biological phenomena of 'protein folding' and 'cell development and differentiation', relativity, action at a distance ( which is a rehabilitated mystery through Joshi's work ), etc. All these mysterious phenomena are, in fact, multiple aspects of a singular underlying structure, composed of four conceptual elements :
1.impossibility of spatial mechanism
2.space as a form of illusion
3.phenomenal mind as non - spatial
4.intelligent orderly execution of spatial events through non - spatial mechanism

The NSTP theory is the unique theoretical representation of that structure. The NSTP theory is a philosophical / scientific masterkey that unifies apparently diverse phenomena through its powerful non - spatial mechanical framework.

The NSTP theory is based on

A] Three axioms ( i.e. self - evident truths ) :

(One's objection that these propositions are not axiomatic is nothing but one's inability to perceive the truth. These propositions are clearly axiomatic to the author.)

1) Phenomenal mind ( or feelings or qualia ) is non - spatial. i.e. No kind of feeling, e.g. feeling of colour blue, can be represented by any spatial structure.

2) All kinds of experiences, even thoughts I know I am having, are feelings or qualias.

3) A phenomenally conscious self is a temporal stream of non - spatial phenomenal mental events. ( A Non - Spatial Thinking Process (NSTP), as every feeling is itself a thought or idea. )

B] And two hypotheses :

1) Space ( as a room or void out there : whether three or higher dimensional, bounded or unbounded ) is a virtual reality ( i.e. a form or projection of non - spatial mind, a kind of feeling ).

2) Individual or local NSTPs are orderly ( or thoughtfully ) executed by a gigantic, central, or global NSTP ( rather a group of NSTPs ), representing superhuman thoughts or ideas, in order to account for the order in the universe, e.g. the gravitational phenomenon. ( The central non - spatial superhuman thoughts are processed in zero time because of no spatial limitations; e.g. in space it takes time to transfer data from one spatial location to another. Although a conscious human is nothing but an NSTP it is, at least partially, conceptually, as opposed to physically, bound to the spatial biochemical brain, and thus the core NSTPs introduce time lag in processing of individual NSTPs, where appropriate. )

Further, the existence of the central NSTPs is assumed for two reasons :

i) In any machine where its peripherals are not intelligent enough to modulate ( or be able to account for ) their own behaviour there has to be some central intelligent part in the machine to bring out the peripheral happenings or phenomena.

ii) As the laws of physics ( or any other than those of pure mathematics or logic ) are not logically or conceptually necessary there has to be a way to change the ways individual NSTPs are generated ( or produced or executed ). And for that to be possible there has to be some central intelligence existing in the form of ( non - spatial ) mental events, which itself could be modulated to alter the modulation of individual NSTPs.

Thus, in computer terminology, in the NSTP model of reality the hardware of the universe is composed of non - spatial feelings, while its central software is made of superhuman thoughts, and the peripheral software is made of non - superhuman ones.

Now take for instance the EPR paradox or some equivalent mysterious experimental quantum phenomenon ( e.g. In 1997 experiments were conducted in which light particles ( photons ) originated under certain conditions and travelled in opposite directions to detectors located about seven miles apart. The amazing results indicated that the photons interacted or communicated with one another instantly or in no time. See Robert Nadeau, and Menas Kafatos, 1999. The non - local universe. 1st ed. Oxford : OUP. Back page. ). According to the NSTP theory this is no longer a mystery as the behaviour of photons is just a form of illusion, a virtual reality ( to non - spatial mind/s ) which is actually modulated ( or orderly executed ) by hidden / core non - spatial superhuman mental events. ( Again in analogy with spatial desktop computers such a photonic behaviour on the computer monitor screen has no slightest mystery surrounding it, as it is just a changing pattern of pixels which is modulated by some hidden software processes. )

The NSTP theory maintains both idealism ( as reality is exclusively mental ) and realism ( as the material entities we see out there do have a real existence in the core central non - spatial mind/s, which would exist independent of any other mind perceiving them ), and both mentalism ( as reality is exclusively mental ) and materialism ( as mind is real, it is physical / material ).

'Philosophy is written in this grand book - I mean the universe - which stands continually open to our gaze, but it cannot be understood unless one first learns to comprehend the language and interpret the characters in which it is written. It is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures, without which it is humanly impossible to understand a single word of it.'
- Galileo Galilei

In reality the universe has no geometry.
- Kedar Joshi
The Superultramodern Philosophiae Naturalis Principia Mathematica : The Foundations of Superultramodern Physics, Mathematical Science, and Philosophy.

Most of the mysteries of the universe are out of the human belief that any mechanism has to be spatial. In reality the mechanism of the universe is non - spatial, whose appropriate understanding shall resolve those mysteries.
- Kedar Joshi (K.J.)

All science is either mathematics ( characterised by utmost certainty, in case of pure mathematics, and precision ) or philosophy ( lacking what maths essentially has ).
- K.J. ( Inventor of Conmathematics : Conceptual Mathematics)

To be is to be intelligent.
To be is to be a machine.
To be is to be non - spatial.
To be real is to be physical / material.
All machines understand. However, only non - spatial machines understand concepts. - K.J.

Superultramodern science begins where ultramodern science stops (the prefix 'super' means above/beyond). In physics, its basic principle is that reality is non - spatial. At its heart is the NSTP theory which unifies many apparently diverse phenomena and solves most of the most challenging problems in modern science.
- K.J.

Dr Kedar Joshi, BSc, MA, DSc, DA, Cambridge, UK.
About the Author
http://superultramodern.blogspot.com