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The Essence of Intuitive Set Theory

Nambiar, Kannan (2001) The Essence of Intuitive Set Theory. [Preprint]

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Abstract

Intuitive Set Theory (IST) is defined as the theory we get, when we add Axiom of Monotonicity and Axiom of Fusion to Zermelo-Fraenkel set theory. In IST, Continuum Hypothesis is a theorem, Axiom of Choice is a theorem, Skolem paradox does not appear, nonLebesgue measurable sets are not possible, and the unit interval splits into a set of infinitesimals.

Item Type:Preprint
Keywords:Intuitive Set Theory, Generalized Continuum Hypothesis
Subjects:Philosophy > Logic
ID Code:1791
Deposited By: Nambiar, Kannan
Deposited On:16 Nov 2001
Last Modified:11 Mar 2011 08:54

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