Thursday, March 30, 2006

Intuitively Balanced: Induction and Deduction

Most mathematicians adopt a pragmatic attitude and see themselves as the explorers of this mathematical world" whose existence they don't have any wish to question, and whose structure they uncover by a mixture of intuition, not so foreign from poetical desire", and of a great deal of rationality requiring intense periods of concentration.

Each generation builds a mental picture" of their own understanding of this world and constructs more and more penetrating mental tools to explore previously hidden aspects of that reality.

Is there truth to the emphemeral qualites of mind. That there is a lighter measure with which we take on to life? How would you weight things of meaning? A pythagorean string perhaps, with a weighted gourd? Meaning on resonance as measure by, that vibrating string?

Behind the image as you click on it is an arche principled of Aristotle.

Would we have found the derivation and essence of what that first principle was. The foundation as it might have been in a intuitive moment released? A place where the freedoms, of smooth travelling satellites would have found the least resistance, in order for mind to travel into the "yellow abstract domains of math" and back?

Sometimes I like to think of a image of a "circle within a circle" as a model of what might be percieved. Yet if we thought, that in the center of this, something like a solid matter existed. Our bodies, our brains. Earth Maybe.

Now an image in mind easily drawn might have been, that matter earth, then color red, then green, and then violet, and we have this range of colors issuing from the center. We are never devoid of the thinking mind, or the emotive feelings we have about things, yet there is some impact in the remembrance of things that are emotively charged?

Of course this is speculation of a kind. a model of a kind, and some way in which I had pecieved the dynamcis of life moving from the center outward and back, and never really stayng in one place to long. We have these circles intertwining. Thought runs the whole length of it. From the center out/in, 5 is 1, or 1 is 5? Thoughts about anyhtng could have been 2, 3, or 4?

Life inside, is outside and all that we think, shown on the collar of our sleeves?

His was the best single sentence summing up the concept, as we were to use it that evening: Intuition is the process of getting to a destination without knowing the route. He also added: Sometimes you did not even know you wanted to get there. I've modified the words a bit, but that's the essence of what he said. It was a definition that was so appreciated, you could hear several audible hhhhmmmmms of recognition from the audience.

You have to wonder about "neural correlates to consciousness?"


We have this brain matter and all kinds of neural firings.

To say the "emotive response" could have been activated from the basis of brain structure, and it's corresponding evolutionary standardization, then to have a reward system( pavlov response), would have been based on early emotive developement on humanization standards, to a evolving society, is puzzling one to say the least?

What "new brain covering" in the formation of the brain matters would correspond to our evolution would say that we are a much more refined society that we would invoke new standards and advancements in our thinking?

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