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First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics
December 1-3, 2001
University of New Mexico
Gallup, NM, USA

Organizers
Florentin Smarandache

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Nihilist Set
by
Florentin Smarandache
UNM

Definition of Nihilist Set:

<logic, mathematics> A set whose elements absolutely don’t belong to the set in all possible worlds.

A class of neutrosophic set in which every element x has the form x(-0, -0, 1+), i.e. absolutely doesn’t belongs to the set; here T, I, F are real standard or non-standard subsets, included in the non-standard unit interval ]-0, 1+[, representing truth, indeterminacy, and falsity percentages respectively.

The empty set is a particular set of nihilist set.

Contrast with tautological set.

Related to nihilism.

ref. Florentin Smarandache, Ä Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set, and Logic", American Research Press, Rehoboth, 1999; (http://www.gallup.unm.edu/ smarandache/FirstNeutConf.htm, http://www.gallup.unm.edu/ smarandache/neut-ad.htm)

http://www.gallup.unm.edu/~smarandache/FirstNeutConf.htm

Date received: October 22, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagu-22.