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