set theory


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set theory

n. Mathematics
The study of the properties of sets.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

set theory

n
1. (Mathematics) maths the branch of mathematics concerned with the properties and interrelationships of sets
2. (Logic) logic a theory constructed within first-order logic that yields the mathematical theory of classes, esp one that distinguishes sets from proper classes as a means of avoiding certain paradoxes
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

set′ the`ory


n.
the branch of mathematics that deals with relations between sets.
[1940–45]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.set theory - the branch of pure mathematics that deals with the nature and relations of sets
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
pure mathematics - the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
teorie množin
joukko-oppi
תורת הקבוצות
teorija skupova
halmazelmélet
mengjafræði
teoria dos conjuntos

set theory

nMengenlehre f
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

set theory

n (Math) → teoria degli insiemi, insiemistica
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
Vdovin (1949-2007), the creator of a new axiomatics of the set theory.
By stating the non-Aristotelian premises in the set theory notation that we used (a Bourbaki algebraic dialect), we showed these premises as acceptable, as judged by the logical standards of set theory.
This paper investigates the potential of intuitionistic fuzzy soft set theory in real-time flood warning.
Abstract: Rough Set Theory (RST) is a technique for data analysis.
This new insight was obtained when examining uncertainty by means of mathematical theories more general than classical set theory and classical measure theory.
In set theory, one comes across the notion of "vacuous truth".
Despite sounding like something out of science fiction fantasy or theoretical physics, depending on who you run with, the question of possible worlds has been debated in certain philosophical circles since the turn of the twentieth century, ranging from set theory in mathematics to modal philosophy to semiotics.
In 1938, logician Kurt Godel proved that the continuum hypothesis is consistent with the standard axioms of set theory. Then in 1963, Paul Cohen, now at Stanford University, proved that the opposite of the continuum hypothesis--the assertion that there is actually an infinite set that is bigger than the set of counting numbers but smaller than the set of real numbers--is also consistent with the axioms.
And so are the fading memories of those one-time students who were made to trade their Slinkys for slide rules and who were taught, briefly, citizenship in set theory.
Set Theory is one theory or model that has proved enormously useful in a wide range of situations.
In Where Mathematics Come From (Basic Books, 2000), George Lakoff and Raphael Nunez apply theories of metaphorical conceptualization and the cognitive unconscious in an attempt to demonstrate that mathematical constructs such as arithmetic, algebra, logic, set theory and infinity are based on metaphors derived from embodied human experience in the physical world.
Isermann says fuzzy logic emerged from work on fuzzy set theory in the 1960s.