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