Alan Sondheim

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Philosophy |
Beyond or external to mathematics, mathesis, 0 and 1 are situational; they are discursive tokens, floating signifiers. What one presents, the other exculpates; what one withdraws, the other absolves. 0 is already a multiplicity; just look at it. Articulation leads quickly to power sets, cellular automata chaos, differentiations, growth: differentiation to the degree-zero of substance, the analogic. What is ruptured at close sight, smoothes at farther; both are latent, developed much as a photographic plate. Set-theoretical paradoxes are the rubble of mathematics; the mathematics of ideal forms remains in light of them. The continuum hypothesis is subject only to choice outside of the continuum hypothesis; someone does something one way or another with mathesis, axiomatics, infinities. Mathematical ontology is the structure of the world; sets of parameters define all that there is; such parameters may be ab nihilo, virtual, real, stochastic, chaotic, fuzzy; given certain dimensions, certain tolerances, they exhaust. A message from elsewhere is a message by virtue of structure and interpretation. A lesson: the I withdrawn in favor of; as a result of; as a consequence of; the eye. And the eye withdrawn, withdraws. | |