Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any... 41 KB (5,015 words) - 18:36, 22 April 2024 |
In set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in... 47 KB (6,252 words) - 07:04, 26 April 2024 |
In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously... 8 KB (1,180 words) - 15:49, 26 February 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... 9 KB (1,262 words) - 02:59, 23 February 2024 |
Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language... 202 KB (33,317 words) - 17:18, 28 April 2024 |
Look up Appendix:Glossary of set theory in Wiktionary, the free dictionary. This is a glossary of set theory. Contents: Greek !$@ A B C D E F G H I J... 91 KB (11,505 words) - 23:41, 27 April 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 (4,715 words) - 07:25, 14 February 2024 |
In mathematical logic, descriptive set theory (DST) is the study of certain classes of "well-behaved" subsets of the real line and other Polish spaces... 10 KB (1,506 words) - 08:10, 9 September 2023 |
Neumann–Bernays–Gödel set theory (NBG) is an axiomatic set theory that is a conservative extension of Zermelo–Fraenkel–choice set theory (ZFC). NBG introduces... 97 KB (15,521 words) - 03:54, 3 March 2024 |
In the mathematical field of set theory, the continuum means the real numbers, or the corresponding (infinite) cardinal number, denoted by c{\displaystyle... 2 KB (273 words) - 20:47, 11 March 2024 |
example being the neighborhood filter. Filters appear in order theory, model theory, and set theory, but can also be found in topology, from which they originate... 138 KB (23,304 words) - 14:33, 24 December 2023 |
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 (798 words) - 08:58, 22 February 2024 |
contradictions within modern axiomatic set theory. Set theory as conceived by Georg Cantor assumes the existence of infinite sets. As this assumption cannot be... 17 KB (2,672 words) - 17:37, 18 April 2024 |
Set point theory, as it pertains to human body weight, states that there is a biological control method in humans that actively regulates weight towards... 11 KB (1,423 words) - 18:07, 12 April 2024 |
Cartesian product (redirect from Product set) In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is in... 20 KB (2,818 words) - 05:24, 17 April 2024 |
set theory (sometimes denoted by Z-), as set out in a seminal paper in 1908 by Ernst Zermelo, is the ancestor of modern Zermelo–Fraenkel set theory (ZF)... 14 KB (2,208 words) - 03:45, 22 November 2023 |
Internal set theory (IST) is a mathematical theory of sets developed by Edward Nelson that provides an axiomatic basis for a portion of the nonstandard... 14 KB (2,285 words) - 17:31, 3 March 2022 |
In set theory, a universal set is a set which contains all objects, including itself. In set theory as usually formulated, it can be proven in multiple... 10 KB (1,322 words) - 07:21, 7 February 2024 |
Look up set theory in Wiktionary, the free dictionary. Set theory is a branch of mathematics concerning mathematical sets. A set theory may also refer... 552 bytes (114 words) - 19:17, 22 February 2024 |
Subset (redirect from Inclusion (set theory)) of k {\displaystyle k} -subsets of an n {\displaystyle n} -element set. In set theory, the notation [ A ] k {\displaystyle [A]^{k}} is also common, especially... 11 KB (1,631 words) - 08:10, 28 April 2024 |
In set theory, a tree is a partially ordered set (T, <) such that for each t ∈ T, the set {s ∈ T : s < t} is well-ordered by the relation <. Frequently... 11 KB (1,310 words) - 19:13, 19 April 2024 |
In set theory, a projection is one of two closely related types of functions or operations, namely: A set-theoretic operation typified by the j {\displaystyle... 2 KB (319 words) - 15:36, 16 May 2023 |
In mathematical set theory, the multiverse view is that there are many models of set theory, but no "absolute", "canonical" or "true" model. The various... 2 KB (249 words) - 08:41, 23 November 2022 |
the empty 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 that... 15 KB (2,181 words) - 05:16, 1 April 2024 |
Von Neumann universe (redirect from Rank (set theory)) In set theory and related branches of mathematics, the von Neumann universe, or von Neumann hierarchy of sets, denoted by V, is the class of hereditary... 20 KB (2,732 words) - 07:26, 24 April 2024 |