Definition of intuitive set theory
| Abstract | The two axioms which define intuitive set theory, Axiom of Combinatorial Sets and Axiom of Infinitesimals, are stated. Generalized Continuum Hypothesis is derived from the first axiom, and the infinitesimal is visualized using the latter. | |||||||||
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Andrzej Kisielewicz (1998). A Very Strong Set Theory? Studia Logica 61 (2):171-178.
Kurt Gödel (1940). The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis with the Axioms of Set Theory. Princeton University Press;.
Athanassios Tzouvaras (2003). An Axiomatization of 'Very' Within Systiems of Set Theory. Studia Logica 73 (3):413 - 430.
Jean-Louis Gardies (1988). La Définition de I'identite d'Aristote à Zermelo. Theoria 4 (1):55-79.
Pierluigi Miraglia (2000). Finite Mathematics and the Justification of the Axiom of Choicet. Philosophia Mathematica 8 (1):9-25.
Tatiana Arrigoni (2011). V = L and Intuitive Plausibility in Set Theory. A Case Study. Bulletin of Symbolic Logic 17 (3):337-360.
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