# set theory

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## set theory

n. Mathematics
The study of the properties of sets.

## 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

## set′ the`ory

n.
the branch of mathematics that deals with relations between sets.
[1940–45]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 set theory - the branch of pure mathematics that deals with the nature and relations of setsmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementpure mathematics - the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
Translations
teorie množin
joukko-oppi
תורת הקבוצות
teorija skupova
halmazelmélet
mengjafræði
teoria dos conjuntos

nMengenlehre f

## set theory

n (Math) →
References in periodicals archive ?
Woodin has been a leading figure in set theory since the early 1980s, and colleagues, former students, and other mathematicians wish him happy birthday with 12 papers on matters of interest to him.
The Significance of Quine's New Foundations for the Philosophy of Set Theory, SEAN MORRIS
Soft\fuzzy set theory and statistical approaches were used for air craft selection and probability of destruction respectively.
Objective: "This proposed research is in mathematical logic and foundations of mathematics, more specifically in set theory.
One of these helpful hands of mathematics is soft set theory.
Soft fuzzy set theory was employed in order to comprehensively evaluate the quality of operation diagrams in consideration of the different preferences among experts.
There have been a great amount of research and applications in the literature concerning some special tools like probability theory, fuzzy set theory [13], rough set theory [19], vague set theory [18], intuitionistic fuzzy set theory [10, 12] and interval mathematics [11, 14].
The rough set theory was introduced by Pawlak [20] in 1982, which is a technique for managing the uncertainty and imperfection, can analyze incomplete information effectively.
He begins by setting out theoretical and logical aspects of classical, two-valued semantic web languages, then generalizes the languages to cope with fuzzy set theory and fuzzy logic.
Music scholars and librarians should take note of this collection of essays, a large portion of which represents the most cogent recent development in North American music theory since the codification of pitch-class set theory and the adaptation of Schenker's theories in the 1960s and 1970s.
Both the generalized continuum hypothesis and the axiom of choice are consistent with set theory.
Sets, logic, ontological decisions: terms familiar from the work of Alain Badiou, whose Being and Event argues that set theory, in a sense, is ontology.

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