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... 49 KB (6,473 words) - 07:51, 1 May 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 |
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 |
Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language... 204 KB (33,730 words) - 14:57, 5 May 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 |
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 |
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 (278 words) - 20:47, 11 March 2024 |
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 |
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 |
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) - 07:16, 30 April 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 |
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 |
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 |
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 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 |
General set theory (GST) is George Boolos's (1998) name for a fragment of the axiomatic set theory Z. GST is sufficient for all mathematics not requiring... 9 KB (1,183 words) - 08:05, 10 April 2022 |
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 |
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 |
Non-well-founded set theories are variants of axiomatic set theory that allow sets to be elements of themselves and otherwise violate the rule of well-foundedness... 12 KB (1,428 words) - 12:34, 30 April 2024 |
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 (2,325 words) - 17:31, 3 March 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) - 15:16, 4 May 2024 |
In set theory, a mouse is a small model of (a fragment of) Zermelo–Fraenkel set theory with desirable properties. The exact definition depends on the... 2 KB (184 words) - 11:46, 18 August 2023 |