tautological set - определение. Что такое tautological set
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Что (кто) такое tautological set - определение

WIKIMEDIA DISAMBIGUATION PAGE
Tautologic; Tautological (disambiguation); Tautologicalness

tautological set      
<logic> A notion introduced by Florentin Smarandache: An element x(T, I, F) belongs more than sure to the set M; here T, I, F are real subsets representing the truth, indeterminacy, and falsity percentages respectively, and sup(T) > 100. tautological set are used for universally true propositions where no parameter such as time, space, or subjectivity influences the truth value. [{tautological setsmarandache/neut-ad.htm">Florentin Smarandache, "A Unifying Field in Logics. / Neutrosophy: Neutrosophic Probability, Set, and Logic", American Research Press, Rehoboth, 1999 (http://gallup.unm.edu/tautological setsmarandache/neut-ad.htm)}] (1999-11-24)
Tautologic         
Set (mathematics)         
  • The [[natural numbers]] <math>\mathbb{N}</math> are contained in the [[integers]] <math>\mathbb{Z}</math>, which are contained in the [[rational numbers]] <math>\mathbb{Q}</math>, which are contained in the [[real numbers]] <math>\mathbb{R}</math>, which are contained in the [[complex numbers]] <math>\mathbb{C}</math>
  • Passage with a translation of the original set definition of Georg Cantor. The German word ''Menge'' for ''set'' is translated with ''aggregate'' here.
  • ''A'' ∩ ''B''}}</div>
  • ''A'' \ ''B''}}</div>
  • <div class="center">The '''symmetric difference''' of ''A'' and ''B''</div>
  • ''A'' ∪ ''B''}}</div>
  • <div class="center">The '''complement''' of ''A'' in ''U''</div>
  • ''A'' is a subset of ''B''.<br>''B'' is a superset of ''A''.
WELL-DEFINED MATHEMATICAL COLLECTION OF DISTINCT OBJECTS
Set (math); Crisp set; Conventional set; Number sets; Set (mathematical); Mathematical set; Set logic; Basic set operations; Finite subset
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.

Википедия

Tautological

In mathematics, tautological may refer to:

Logic:

  • Tautological consequence

Geometry, where it is used as an alternative to canonical:

  • Tautological bundle
  • Tautological line bundle
  • Tautological one-form
  • Tautology (grammar), unnecessary repetition, or more words than necessary, to say the same thing.