The Gospel of St. Math.

[Graybeard]

Albert Einstein (in wikipedia)....How can it be that mathematics, being after all product of human thought which is independent of experience , is so admirably appropriate to the objects of reality? -- Albert Einstein.

Do you find it strange that theory once adopted and recognised, goes on to explain much greater and wider concepts than it was originally put forward for ?

Darwin proposed a theory for evolution of species ... this theory now can be used to explain the evolution of the Cosmos ... something it was never intended to do. Galileo was puzzled by the explanation that objects fell at speeds according to their weight. So if you roped a light object to a heavy object would they now form a heavier object and fall faster .. or ... would the light object slow the heavy down .. or .. would the heavy object speed the light object up. The only suitable explanation is that everything falls at the same speed. This simple thought experiment would be used to describe the motions of our Universe.

Wigner .... http://en.wikipedia.org/wiki/The_Unr...tural_Sciences

"mathematical concepts have applicability far beyond the context in which they were originally developed. Based on his experience, he says "it is important to point out that the mathematical formulation of the physicist’s often crude experience leads in an uncanny number of cases to an amazingly accurate description of a large class of phenomena". He then invokes the fundamental law of gravitation as an example. Originally used to model freely falling bodies on the surface of the earth, this law was extended on the basis of what Wigner terms "very scanty observations" to describe the motion of the planets, where it "has proved accurate beyond all reasonable expectations."

Is it possible that Mathematics is an incredibly coincidental 'fit' for everything we apply it to ... or ..... Is our understanding of it dynamic to the further situations we apply it to ?

Hamming ... wikipedia ....
http://en.wikipedia.org/wiki/The_Unr...tural_Sciences

2. Humans create and select the mathematics that fit a situation. The mathematics at hand do not always work. For example, when mere scalars proved awkward for understanding forces, first vectors, then tensors, were invented.

3. Mathematics addresses only a part of human experience. Much of human experience does not fall under science or mathematics but under the philosophy of value, including ethics, aesthetics, and political philosophy. To assert that the world can be explained via mathematics amounts to an act of faith.

4. Evolution has primed humans to think mathematically. The earliest lifeforms must have contained the seeds of the human ability to create and follow long chains of close reasoning. Hamming, whose expertise is far from biology, otherwise says little to flesh out this contention.

Is it possible that mathematics works simply because we decide it works ?

greg

[Graybeard]

http://en.wikipedia.org/wiki/Unreaso...of_Mathematics

The unreasonable ineffectiveness of mathematics is a catchphrase, alluding to the well-known article by physicist Eugene Wigner unreasonable effectiveness of mathematics in the natural sciences and implying the claim that mathematical analysis has not proved as valuable in other fields as in physics.

For example, I. M. Gelfand, a famous mathematician who worked in biomathematics and molecular biology, as well as many other fields in applied mathematics is quoted as stating, "Eugene Wigner wrote a famous essay on the unreasonable effectiveness of mathematics in natural sciences. He meant physics, of course. There is only one thing which is more unreasonable than the unreasonable effectiveness of mathematics in physics, and this is the unreasonable ineffectiveness of mathematics in biology." [1]

K. Vela Velupillai wrote of the ineffectiveness of mathematics in economics.[2][3]

Roberto Poli of McGill University delivered a number of lectures entitled The unreasonable ineffectiveness of mathematics in cognitive sciences in 1999. The abstract is:
My argument is that it is possible to gain better understanding of the "unreasonable effectiveness" of mathematics in study of the physical world only when we have understood the equally "unreasonable ineffectiveness" of mathematics in the cognitive sciences (and, more generally, in all the forms of knowledge that cannot be reduced to knowledge about physical phenomena. Biology, psychology, economics, ethics, and history are all cases in which it has hitherto proved impossible to undertake an intrinsic matematicization even remotely comparable to the analysis that has been so fruitful in physics.) I will consider some conceptual issues that might prove important for framing the problem of cognitive mathematics (= mathematics for the cognitive sciences), namely the problem of n-dynamics, of identity, of timing, and of the specious present. The above analyses will be conducted from a partly unusual perspective regarding the problem of the foundations of mathematics.[4

It seems that Mathematics and Physics will not be the Total explanation of the TOE, no matter that they may play the greater role.

greg

[mkirkpatrick]

Thanks Greg,great post,the toe should be able to be understood by a child,it should be
simple straightforward in easily understood language.

Will add more whenI get time later.

regard michael.

[mkirkpatrick]

Universal evolution following on from that of Earthly evolution,are you saying Greg that this thread is an evolutionary outspilling from the last one?
Prehaps thats the way it happens?Where we differ from the life around us,is that we can
ask where we came from,who we are?Maths will not solve the riddle of expression,but
conscious awareness will.We exist as outworkings of natural law,that being so,there is
the "blue print" vouchsafed within us,and by contacting that inner mind-higher self,we
can access the inner blue print and read and decypher the code-matrix.

Universal evolution seems to suggest that the pattern is for all matter to become
fully self-aware,and self conscious.Which will take an eternity to complete!


regards michael.

[mkirkpatrick]

Come on Greg,this is your thread,what have you to say?Maths will not be sufficient to explain the wholeness of the toe.A true understanding of energy might?What part does
electricity play in this?Baring in mind that all interactions of energy are basically electrical?

Evolution is an electrical impulse fired by wilful intent!Magnetism,electromagnetics,are all
pulses of energy originating in a single "pole" then branching out into a trident of expression and unfoldment.

We are ourselves "wired" into this universal grid of power,and all our motions are electrical in origin,whether they be,physical,mental,emotional,or spiritual.So we need to
pay closer attention to electrical energy,for it heralds and holds a beacon to lighten the
path to the TOE?


regards michael.

[mkirkpatrick]

When you get back from the bush tucker trip you on Greg mate,mosey on down to this here thread that you started,and get busy.

Threads evolve as do nature and worlds,where are we now on the evolutionary trail mate!



regards michael.