"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

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Saturday, December 05, 2015

Riemann versus "Information" Physics

This really boils down to an issue of the ontological premise of supposed stuff called "information." Bernhard Riemann's 1854 habilitation thesis addressed the issue of continuity versus discreteness at its most fundamental level. There is no final elemental physical stuff isolated and apart from human cognition. Rather there is an ongoing evolvability, if you will, of substance that is confined to interacting domains of the inert, biotic, and noetic. These realms all exhibit necessary singularities of discreteness and potential continuousness.

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