The Problem of the Consistency Principle in Mathematical Axioms under the Universals of Truth and Plausibility
Preprint in SSRN Electronic Journal (January 2023)
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Gödel's Theorems and Zermelo's Axioms
Overview of attention for book
Table of Contents
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Altmetric BadgeBook Overview
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Altmetric BadgeChapter 1 Syntax: The Grammar of Symbols
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Altmetric BadgeChapter 2 The Art of Proof
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Altmetric BadgeChapter 3 Semantics:Making Sense of the Symbols
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Altmetric BadgeChapter 4 Maximally Consistent Extensions
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Altmetric BadgeChapter 5 The Completeness Theorem
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Altmetric BadgeChapter 6 Language Extensions by Definitions
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Altmetric BadgeChapter 7 Countable Models of Peano Arithmetic
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Altmetric BadgeChapter 8 Arithmetic in Peano Arithmetic
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Altmetric BadgeChapter 9 Gӧdelisation of Peano Arithmetic
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Altmetric BadgeChapter 10 The First Incompleteness Theorem
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Altmetric BadgeChapter 11 The Second Incompleteness Theorem
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Altmetric BadgeChapter 12 Completeness of Presburger Arithmetic
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Altmetric BadgeChapter 13 The Axioms of Set Theory (ZFC)
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Altmetric BadgeChapter 14 Models of Set Theory
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Altmetric BadgeChapter 15 Models and Ultraproducts
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Altmetric BadgeChapter 16 Models of Peano Arithmetic
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Altmetric BadgeChapter 17 Models of the Real Numbers