Refuting Tarski and Gödel with a Sound Deductive Formalism

Abstract

The conventional notion of a formal system is adapted to conform to the sound deductive inference model operating on finite strings. Finite strings stipulated to have the semantic value of Boolean true provide the sound deductive premises. Truth preserving finite string transformation rules provide the valid deductive inference. Sound deductive conclusions are the result of these finite string transformation rules.

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Universal grammar.Richard Montague - 1970 - Theoria 36 (3):373--398.
Foundations of mathematical logic.Haskell Brooks Curry - 1963 - New York: Dover Publications.

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