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

AXIOMATIC SET THEORIES BASED ON THE PRINCIPLES OF MATHEMATICAL CONSTRUCTIVISM
Constructivist set theory; Intuitionistic set theory; IZF; CZF; Intuitionistic Zermelo–Fraenkel; Myhill's constructive set theory; Intuitionistic Zermelo-Fraenkel

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.
Constructive set theory         
Constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory.
Box set         
  • Boxed collections of books
COMPILATION OF VARIOUS MEDIA OR OTHER ITEMS PACKAGED IN A BOX
Box Set; Box-set; Box sets; Boxset; Boxed set; Box Sets; DVD Box Set; Vinyl Box Set (7 LP's); DVD box set; Vinyl Box Set (7 LPs); DVD box-set; Vinyl Box Set
A box set or boxed set is a set of items (for example, a compilation of books, musical recordings, films or television programs) traditionally packaged in a box and offered for sale as a single unit.

Википедия

Constructive set theory

Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language with " = {\displaystyle =} " and " {\displaystyle \in } " of classical set theory is usually used, so this is not to be confused with a constructive types approach. On the other hand, some constructive theories are indeed motivated by their interpretability in type theories.

In addition to rejecting the principle of excluded middle ( P E M {\displaystyle {\mathrm {PEM} }} ), constructive set theories often require some logical quantifiers in their axioms to be set bounded, motivated by results tied to impredicativity.