Words starting with zermelo
7 letter words starting with zermelo
- zermelo fränkel set theory — (mathematics) A set theory with the axioms of Zermelo set theory (Extensionality, Union, Pair-set, Foundation, Restriction, Infinity, Power-set) plus the Replacement axiom schema: If F(x,y) is a formula such that for any x, there is a unique y making F true, and X is a set, then {F x : x in X} is a set. In other words, if you do something to each element of a set, the result is a set. An important but controversial axiom which is NOT part of ZF theory is the Axiom of Choice.
- zermelo set theory — (mathematics) A set theory with the following set of axioms: Extensionality: two sets are equal if and only if they have the same elements. Union: If U is a set, so is the union of all its elements. Pair-set: If a and b are sets, so is {a, b}. Foundation: Every set contains a set disjoint from itself. Comprehension (or Restriction): If P is a formula with one free variable and X a set then {x: x is in X and P(x)}. is a set. Infinity: There exists an infinite set. Power-set: If X is a set, so is its power set. Zermelo set theory avoids Russell's paradox by excluding sets of elements with arbitrary properties - the Comprehension axiom only allows a property to be used to select elements of an existing set.
9 letter words starting with zermelo
- zermelo's axiom — axiom of choice.
On this page, we collect all words starting with ZERMELO. To make easier to find the right word we have divided all 3 words to groups according to their length. So you should go to appropriate page if can’t find the word that beginning with ZERMELO. that you are searching. Also you can use this page in Scrabble.