Definition of Axiomatizes. Meaning of Axiomatizes. Synonyms of Axiomatizes

Here you will find one or more explanations in English for the word Axiomatizes. Also in the bottom left of the page several parts of wikipedia pages related to the word Axiomatizes and, of course, Axiomatizes synonyms and on the right images related to the word Axiomatizes.

Definition of Axiomatizes

No result for Axiomatizes. Showing similar results...

Meaning of Axiomatizes from wikipedia

- impossible to axiomatize ZFC using only finitely many axioms. On the other hand, von Neumann–Bernays–Gödel set theory (NBG) can be finitely axiomatized. The ontology...
- the standard ZFC axiomatization of set theory. Czesław Ryll-Nardzewski proved that Peano arithmetic cannot be finitely axiomatized, and Richard Montague...
- possessed by all natural numbers ("Induction axiom"). In mathematics, axiomatization is the process of taking a body of knowledge and working backwards towards...
- constructions in their own right. In particular, the definition of a quandle axiomatizes the properties of conjugation in a group. In 1942, Mituhisa Takasaki [ja]...
- alternative set theory. In particular, Vopěnka's Alternative Set Theory (1979) axiomatizes the concept of semiset, supplemented with several additional principles...
- (compact totally disconnected Hausdorff) topological space. The first axiomatization of Boolean lattices/algebras in general was given by the English philosopher...
- arithmetic of the natural numbers and which are consistent and effectively axiomatized. Particularly in the context of first-order logic, formal systems are...
- In 1936, Alfred Tarski gave an axiomatization of the real numbers and their arithmetic, consisting of only the eight axioms shown below and a mere four...
- Sanders Peirce provided an axiomatization of natural-number arithmetic. In 1888, Richard Dedekind proposed another axiomatization of natural-number arithmetic...
- b)\mid c)\mid (a\mid ((a\mid c)\mid a))=c} is sufficient to completely axiomatize Boolean algebra. It is also possible to find longer single axioms using...