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Refutation of Bourbaki’s Fixed Point Theorem and the Axiom of Choice

Colin James

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Abstract

We evaluate Moroianu’s and the Tarski-Bourbaki fixed point theorem and axiom of choice (AC). Two versions of the theorem and then seven theorems and corollary which follow are also not tautologous. Therefore these conjectures form a non tautologous fragment of the universal logic VŁ4.

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What this paper is about

We evaluate Moroianu’s and the Tarski-Bourbaki fixed point theorem and axiom of choice (AC). Two versions of the theorem and then seven theorems and corollary which follow are also not tautologous. Therefore these conjectures form a non tautologous fragment of the universal logic VŁ4.

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Available abstract

We evaluate Moroianu’s and the Tarski-Bourbaki fixed point theorem and axiom of choice (AC). Two versions of the theorem and then seven theorems and corollary which follow are also not tautologous. Therefore these conjectures form a non tautologous fragment of the universal logic VŁ4.

Key concepts: Axiom of choice, Corollary, Axiom, Mathematics, Fixed-point theorem, Constructive set theory, Zermelo–Fraenkel set theory, Urelement

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