The Essence of Intuitive Set Theory
General Mathematics
2007-05-23 v1
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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Cite
@article{arxiv.math/0108190,
title = {The Essence of Intuitive Set Theory},
author = {Kannan Nambiar},
journal= {arXiv preprint arXiv:math/0108190},
year = {2007}
}
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7 pages