"The mind is a compact, multiply connected thought mass with internal connections of the most intimate kind. It grows continuously as new thought masses enter it, and this is the means by which it continues to develop."

Bernhard Riemann On Psychology and Metaphysics ca. 1860

"It is clear that the minds are the most important part of the universe, and that everything was established for their sake; that is, in choosing the order of things, the greatest account was taken of them; all things being arranged in such a way that they appear the more beautiful the more they are understood."

G. W. Leibniz

Today's Elites


Friday, November 02, 2007

The Principal of Connectedness

How stunningly art connects the student of humanity across the millennia! If we adhere to a cognizable compositional principle in poetry, song, or the plastic arts, our very act reconnects us in an filial mode to the past and future. And what is the basis of this reconnection if not the meaning of what Plato demonstrated in the Meno dialog, among other places, as the mnemonic power of mind? Is this not the bounded condition of a connected compact Riemannian manifold, while being finite as well as potentially infinite?

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