In set theory, the intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted by A ∩ B , {\displaystyle A\cap B,} is the set containing...
12 KB (1,732 words) - 23:16, 26 December 2023
In mathematics, intersection theory is one of the main branches of algebraic geometry, where it gives information about the intersection of two subvarieties...
17 KB (2,216 words) - 20:50, 8 April 2025
parallel, their intersection is the point at which they meet. More generally, in set theory, the intersection of sets is defined to be the set of elements...
6 KB (817 words) - 11:00, 11 December 2024
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations...
14 KB (1,989 words) - 08:46, 6 May 2025
In set theory, the complement of a set A, often denoted by A c {\displaystyle A^{c}} (or A′), is the set of elements not in A. When all elements in the...
12 KB (1,515 words) - 07:59, 27 January 2025
the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic...
15 KB (1,865 words) - 16:28, 28 May 2024
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any...
54 KB (6,575 words) - 12:01, 1 May 2025
Francisco Intersection in mathematics, including: Intersection (set theory), the set of elements common to some collection of sets Intersection (geometry)...
2 KB (259 words) - 16:31, 10 September 2024
Symmetric difference (redirect from Symmetric difference (set theory))
two sets, also known as the disjunctive union and set sum, is the set of elements which are in either of the sets, but not in their intersection. For...
16 KB (2,441 words) - 17:45, 28 September 2024
In graph theory, an intersection graph is a graph that represents the pattern of intersections of a family of sets. Any graph can be represented as an...
9 KB (1,144 words) - 23:24, 9 February 2024
Private set intersection is a secure multiparty computation cryptographic technique that allows two parties holding sets to compare encrypted versions...
7 KB (706 words) - 02:11, 12 March 2025
Intersection theory may refer to: Intersection theory, especially in algebraic geometry Intersection (set theory) This disambiguation page lists articles...
150 bytes (46 words) - 20:33, 28 December 2019
Element (mathematics) (redirect from Element (set theory))
"Set Theory", Stanford Encyclopedia of Philosophy, Metaphysics Research Lab, Stanford University Suppes, Patrick (1972) [1960], Axiomatic Set Theory,...
7 KB (846 words) - 03:34, 23 March 2025
In mathematical logic, positive set theory is the name for a class of alternative set theories in which the axiom of comprehension holds for at least the...
4 KB (573 words) - 17:30, 13 May 2024
geometry#Intersections Computational geometry Equation of a line Intersection (set theory) Intersection theory Erich Hartmann: Geometry and Algorithms for COMPUTER...
20 KB (3,915 words) - 20:51, 10 September 2024
Subset (redirect from Inclusion (set theory))
on sets. In fact, the subsets of a given set form a Boolean algebra under the subset relation, in which the join and meet are given by intersection and...
11 KB (1,734 words) - 18:05, 12 March 2025
Diagonal intersection is a term used in mathematics, especially in set theory. If δ {\displaystyle \displaystyle \delta } is an ordinal number and ⟨ X...
3 KB (386 words) - 20:30, 11 March 2024
{\displaystyle A} of subsets of a set X {\displaystyle X} is said to have the finite intersection property (FIP) if the intersection over any finite subcollection...
17 KB (2,658 words) - 15:20, 18 March 2025
Appendix:Glossary of set theory in Wiktionary, the free dictionary. This is a glossary of terms and definitions related to the topic of set theory. Contents: ...
91 KB (11,628 words) - 12:22, 21 March 2025
In set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in...
46 KB (6,252 words) - 14:45, 16 April 2025
contexts. Patricia Collins, author of Intersectionality as Critical Social Theory (2019), refers to the various intersections of social inequality as "vectors...
98 KB (10,849 words) - 19:15, 18 May 2025
iff any family of closed sets having fip has non-empty intersection at PlanetMath. Awodey, Steve (2010) [2006]. Category Theory. Oxford Logic Guides. Vol...
7 KB (916 words) - 19:05, 15 September 2024
Universe (mathematics) (redirect from Universe (set theory))
In mathematics, and particularly in set theory, category theory, type theory, and the foundations of mathematics, a universe is a collection that contains...
18 KB (2,649 words) - 04:29, 23 August 2024
determinacy Empty set Forcing (mathematics) Fuzzy set Hereditary set Internal set theory Intersection (set theory) Inner model theory Core model Covering...
5 KB (448 words) - 01:47, 13 February 2025
List of mathematical logic topics (section Set theory)
determinacy Empty set Forcing (mathematics) Fuzzy set Internal set theory Intersection (set theory) L L(R) Large cardinal property Musical set theory Ordinal number...
14 KB (1,012 words) - 00:08, 16 November 2024
implies " X {\displaystyle X} is inhabited". Intersection (set theory) – Set of elements common to all of some sets Nothing – Complete absence of anything;...
8 KB (1,358 words) - 09:48, 10 November 2024
Naive set theory is any of several theories of sets used in the discussion of the foundations of mathematics. Unlike axiomatic set theories, which are...
34 KB (4,716 words) - 15:17, 3 April 2025
empty set or void set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic set theories ensure...
15 KB (2,229 words) - 16:03, 21 April 2025
concepts in set theory. The implementation of a number of basic mathematical concepts is carried out in parallel in ZFC (the dominant set theory) and in NFU...
59 KB (10,960 words) - 22:58, 2 May 2025
elements, called the empty set; a set with a single element is a singleton. Sets are ubiquitous in modern mathematics. Indeed, set theory, more specifically Zermelo–Fraenkel...
49 KB (7,058 words) - 05:26, 20 May 2025