creators_name: Nambiar, Kannan type: preprint datestamp: 2001-11-16 lastmod: 2011-03-11 08:54:47 metadata_visibility: show title: The Essence of Intuitive Set Theory subjects: phil-logic full_text_status: public keywords: Intuitive Set Theory, Generalized Continuum Hypothesis 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. date: 2001 date_type: published refereed: FALSE citation: Nambiar, Kannan (2001) The Essence of Intuitive Set Theory. [Preprint] document_url: http://cogprints.org/1791/3/ist_essence_screen.pdf