# 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 ?
One of the most essential problems in NS is studying set-theoretic operators (or operational matrices) in order to be applied to practical applications.
Their topics include the enumeration of degrees: local and global structural interactions, Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: some results and an open problem, open problems on ultrafiltration and some connections to the continuum, obtaining Woodin's cardinals, translation procedures in descriptive inner model theory, and set-theoretic foundations.
Blur and Illumination Robust Face Recognition via Set-Theoretic Characterization.
QCA uses set-theoretic logic to identify relationships between the outcome of interest and its candidate antecedent variables (in QCA language: "causal conditions").
65, 219) that this may eventually become a new implicit foundation of mathematics by providing the conceptual tools and a unifying language for talking about and organizing a broader range of mathematical matters than the present set-theoretic foundation does.
On the linguistic conception, a structural universal is a set-theoretic construction out of simple universals, in just the way that a (parsed) linguistic expression can be taken as a set-theoretic construction out of its words.
Pat argued for a set-theoretic view of scientific structures; the 2002 book considered by many to be his masterpiece extends this paradigm to the many fields we will visit in this review.
Graham Priest argues that all logical paradoxes that include set-theoretic paradoxes and semantic paradoxes share a common structure, the Inclosure Schema, so they should be treated as one family.
While the set-theoretic talk is foreign to Aristotle, one cannot help but think that Aristotle would happily embrace Roark's suggestion.
First of all, as we have previously seen, the relationship between opinion-policy congruence and the factors that influence it can best be expressed in set-theoretic terms such as necessity and sufficiency.
token] is required to formulate "laws" requiring that the concatenation structure of the non-theoretical individuals identified as tokens for linguistic symbols have a set-theoretic structure isomorphic to a finite fragment of the structure of the abstract (theoretical) symbol types providing the interpretation for [P.
These are adroitly and transparently handled--the analogy is calculus with "fuzzy" methodology and set-theoretic manipulation, to derive necessary and sufficient conditions to cause either democracy or dictatorship.

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