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The Essence of Intuitive Set Theory

Kannan Nambiar
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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.

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Kannan Nambiar. 2001-08-28. The Essence of Intuitive Set Theory. https://arxiv.org/abs/math/0108190

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