The Essence of Intuitive Set Theory

Details The Essence of Intuitive Set Theory The Essence of Intuitive Set Theory

2001-08-28

arxiv.org/abs/math/0108190v1

Mathematics

General Mathematics

7 pages

Scientific paper

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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