Thursday, February 02, 2012

Word Picture

 Undoubtedly we have no questions to ask which are unanswerable . We must trust the perfection of the creation so far, as to believe that whatever curiosity the order of things has awakened in our minds, the order of things can satisfy. Every man's condition is a solution in hieroglyphic to those inquiries he would put. He acts it as life, before he apprehends it as truth. In like manner, nature is already, in its forms and tendencies, describing its own design. Let us interrogate the great apparition, that shines so peacefully around us. Let us inquire, to what end is nature? See: Nature by Emerson

I have this idea brewing for sometime in my mind and I am sure it fits with some who believe a comic strip while it can show it's humor can also show the discussion in science as well. But this is something quite subtle for what I had found in sciences developing mind that could at the same time speak about it's mathematics,  as well as unfolding in pictures who form as a continuous line of geometrical thinking. I might of in the past called it the Royal Road to Geometry, it was always the question of where all these lines of thinking could have evolved too.

It always brings me back to the success of Einsteins to have realize that his freedom came when the geometry of Riemann was used to help move beyond the Euclidean frame of Reference:) While that success took to a malleable form of line bending(greater or less than the perfect line interferometer)(LIGO laser or GRACE), of course it's success was built on the successes of those before him. That's just the way of it.

We see the earth much differently now. Much more then when it was first looked at from space, yet, there was individual peoples who dreamed of the earth from such a lofty ideal. Stepping out from the space capsule was an important step in moving beyond the fields of expression of an agricultural age.

The importance of what I am saying is to understand the very act of "tracing back toward inside" where this line emerged from. So as to ask,  what is it that such emergence could encompass that we would say that the driving force of this manifestation?  It is to become ever the selection of matter constituents that will form the basis of the reality? So is it matter choosing or some deeper understanding of our having chosen to become partners in the reality we exist in? Where did this line lead too,  having traced it back to where it began?

So the "word picture idea" is to understand that a universal language exists in each of us as a partner in the reality with which we participate? While one could have said that the math is revealing of the very schematics underlying this reality how does such math branch "outward" as it takes on the forms of what we find in nature? How are these mathematical terms "layered over" as to form the very conceptual basis of the words spoken? The word picture is a result then, but individual we shall choose it's covering, yet science must be very exact in this description.

 Paul Dirac


When one is doing mathematical work, there are essentially two different ways of thinking about the subject: the algebraic way, and the geometric way. With the algebraic way, one is all the time writing down equations and following rules of deduction, and interpreting these equations to get more equations. With the geometric way, one is thinking in terms of pictures; pictures which one imagines in space in some way, and one just tries to get a feeling for the relationships between the quantities occurring in those pictures. Now, a good mathematician has to be a master of both ways of those ways of thinking, but even so, he will have a preference for one or the other; I don't think he can avoid it. In my own case, my own preference is especially for the geometrical way.


So one traces back the development of our for-bearers of geometrical inquisition as to ask how to break free of the thoughts that we had been restricted too(PoincarĂ© conjecture). This then is why our thrust to expression is the success based on the developing line of  geometry? Ask yourself.....shall Dali be your respite from what is sought in XY painting,  to have understood the Crucifix was leading even though Salvador's religion some vast question of a ideal based on the developing frame. It was the question of the association in mind as an artist? Where was this geometry leading then, as if leading to the ideal of what leads us all to our religion?

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