set theory

(redirected from set-theoretical)
Also found in: Thesaurus, Encyclopedia.
Related to set-theoretical: Mathematical set

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:
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
Translations
teorie množin
joukko-oppi
תורת הקבוצות
teorija skupova
halmazelmélet
mengjafræði
teoria dos conjuntos

set theory

nMengenlehre f

set theory

n (Math) → teoria degli insiemi, insiemistica
References in periodicals archive ?
Thus, overbreadth only works as a regulator of patent validity when generality is a set-theoretical construct.
This paper explores the connection between Kant's first antinomy and the set-theoretical paradox of the largest cardinal.
To address this sample size limitation, and to further explore possible connections between "medical home-ness", patient characteristics, and quality outcomes, we now report an exploratory study using a set-theoretical analytic method, fuzzy set qualitative comparative analysis (fs/QCA).
Table 1 shows abstract elementary patterns that can be used to build up textual or graphical formal models by using the ORM-based graphical patterns or their textual set-theoretical counterparts.
In the end, Meillassoux contends that 'what the set-theoretical axiomatic demonstrates is at the very least a fundamental uncertainty regarding the totalizability of the possible,' and thus 'we should restrict the claims of aleatory reasoning solely to objects of experience' (105).
These proceedings of the July 2004 conference reflect the high regard in which contributors held Donin, and include a survey of his research along with such topics as bicrystals and crystal bases, the small quantum group and the Springer resolution, Fourier transforms for Hopf algebras, quantization, basic representations of quantum current algebras in higher genus, Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form, the Drinfeld double for orbifolds, symmetrically factorizable groups and set-theoretical solutions for the pentagon equation, the dynamical reflection equation and Carter-Rieger-Saito movies.
I find this latter possibility very reasonable, but it would allow a set-theoretical post-hoc account of almost any demonstration of attentional capture one can think of without contributing anything to our insights on how attention works (see Gibson, 1941, for an early warning).
16-17), and how it relates to current set-theoretical models.
Lewis began with (and has not abandoned) a set-theoretical conception of properties.
Venn diagrams are widely used in logic texts to illustrate relations among concepts or set-theoretical operations, but no theory of them has ever been given.
Its efficiency depends on the set-theoretical relationship between the subject's hypothesis and the actual rule.
Individual paper topics include a data classifier based on TOPSIS method, a homogeneous set-theoretical frame for clustering fuzzy relational data, a quick ant clustering algorithm, and approaches to context-based knowledge share and reuse.