@misc{cogprints1791, title = {The Essence of Intuitive Set Theory}, author = {Kannan Nambiar}, year = {2001}, keywords = {Intuitive Set Theory, Generalized Continuum Hypothesis}, url = {http://cogprints.org/1791/}, 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. } }