• Thumbnail for Set (mathematics)
    In mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects...
    41 KB (4,747 words) - 09:15, 3 July 2024
  • Thumbnail for Set theory
    a set, set theory — as a branch of mathematics — is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory...
    41 KB (5,028 words) - 20:39, 15 September 2024
  • In mathematics, more specifically in point-set topology, the derived set of a subset S {\displaystyle S} of a topological space is the set of all limit...
    9 KB (1,356 words) - 19:55, 1 September 2024
  • mathematics, the algebra of sets, not to be confused with the mathematical structure of an algebra of sets, defines the properties and laws of sets,...
    15 KB (1,865 words) - 16:28, 28 May 2024
  • Thumbnail for Complement (set theory)
    any of some sets "Complement and Set Difference". web.mnstate.edu. Retrieved 2020-09-04. "Complement (set) Definition (Illustrated Mathematics Dictionary)"...
    12 KB (1,486 words) - 11:29, 14 September 2024
  • (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation...
    162 KB (15,945 words) - 12:56, 8 September 2024
  • Thumbnail for Union (set theory)
    empty set. For explanation of the symbols used in this article, refer to the table of mathematical symbols. The union of two sets A and B is the set of elements...
    9 KB (1,262 words) - 02:59, 23 February 2024
  • Thumbnail for Empty set
    In mathematics, the 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...
    15 KB (2,184 words) - 20:43, 14 September 2024
  • In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. Writing A = { 1 , 2 , 3 , 4 } {\displaystyle...
    7 KB (796 words) - 08:53, 30 June 2024
  • Thumbnail for Subset
    In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be...
    11 KB (1,725 words) - 04:27, 24 August 2024
  • Thumbnail for Infinite set
    The History of Mathematics: An Introduction include how to define "elements" or parts of a set, how to define unique elements in the set, and how to prove...
    8 KB (904 words) - 11:20, 16 September 2024
  • Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship with other human activities. Major...
    97 KB (11,935 words) - 20:32, 31 August 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) - 04:23, 9 June 2024
  • Thumbnail for Discrete mathematics
    bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers...
    26 KB (2,768 words) - 18:44, 17 August 2024
  • Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory...
    68 KB (8,331 words) - 20:24, 9 September 2024
  • In mathematics, a set is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently...
    28 KB (4,375 words) - 23:54, 20 May 2024
  • The set of all even integers, expressed in set-builder notation. In set theory and its applications to logic, mathematics, and computer science, set-builder...
    17 KB (2,416 words) - 13:45, 12 September 2024
  • Thumbnail for Power set
    In mathematics, the power set (or powerset) of a set S is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory (as...
    20 KB (2,434 words) - 17:45, 11 September 2024
  • In mathematics, an uncountable set, informally, is an infinite set that contains too many elements to be countable. The uncountability of a set is closely...
    6 KB (826 words) - 10:05, 6 August 2024
  • Look up set in Wiktionary, the free dictionary. Set, The Set, SET or SETS may refer to: Set (mathematics), a collection of elements Category of sets, the...
    6 KB (803 words) - 10:52, 19 May 2024
  • In mathematics, particularly set theory, a finite set is a set that has a finite number of elements. Informally, a finite set is a set which one could...
    15 KB (1,998 words) - 22:34, 22 June 2024
  • In mathematics, a singleton (also known as a unit set or one-point set) is a set with exactly one element. For example, the set { 0 } {\displaystyle \{0\}}...
    6 KB (834 words) - 00:10, 15 July 2024
  • Multiset (redirect from Bag (mathematics))
    In mathematics, a multiset (or bag, or mset) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its...
    35 KB (4,850 words) - 11:27, 18 September 2024
  • Thumbnail for Venn diagram
    Venn diagram (redirect from Set diagram)
    combinatorial mathematics. Boston: Addison-Wesley. p. 143. ISBN 978-0-201-72634-3. Johnson, David L. (2001). "3.3 Laws". Elements of logic via numbers and sets. Springer...
    30 KB (3,195 words) - 15:25, 17 August 2024
  • Thumbnail for Equivalence class
    In mathematics, when the elements of some set S {\displaystyle S} have a notion of equivalence (formalized as an equivalence relation), then one may naturally...
    16 KB (2,323 words) - 14:04, 15 June 2024
  • A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation...
    74 KB (9,776 words) - 14:42, 13 September 2024
  • In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function...
    75 KB (11,265 words) - 13:18, 12 September 2024
  • Thumbnail for Intersection (set theory)
    symbols used in this article, refer to the table of mathematical symbols. The intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted...
    12 KB (1,737 words) - 23:16, 26 December 2023
  • Set theory – Branch of mathematics that studies sets Number theory – Mathematics of integer properties Combinatorics – Branch of discrete mathematics...
    10 KB (1,858 words) - 06:05, 22 August 2024
  • In mathematical logic, Russell's paradox (also known as Russell's antinomy) is a set-theoretic paradox published by the British philosopher and mathematician...
    31 KB (4,600 words) - 20:26, 24 July 2024