ThyStrongIndis

ThyStrongIndis - 1 A THEORY OF STRONG INDISCERNIBLES by...

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1 A THEORY OF STRONG INDISCERNIBLES by Harvey M. Friedman April 28, 1999 The Complete Theory of Everything (CTE) is based on certain axioms of indiscernibility. Such axioms of indiscernibility have been given a philosophical justification by Kit Fine. I want to report on an attempt to give strong indiscernibility axioms which might also be subject to such philosophical analysis, and which prove the consistency of set theory; i.e., ZFC or more. In this way, we might obtain a (new kind of) philosophical consistency proof for mathematics. We start with the usual impredicative theory of types with infinity, but not extensionality, and without equality. We call this ITT. We use infinitely many types (sorts). Objects of type 1 are the individuals. Objects of type k+1 are the unary predicates on objects of type k. We use the binary relation between objects of type k+1 and ob-jects of type k; namely, the former holds of the latter.
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This note was uploaded on 08/05/2011 for the course MATH 366 taught by Professor Joshua during the Fall '08 term at Ohio State.

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ThyStrongIndis - 1 A THEORY OF STRONG INDISCERNIBLES by...

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