Definition of Axiomatize. Meaning of Axiomatize. Synonyms of Axiomatize

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

Definition of Axiomatize

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Meaning of Axiomatize 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...
- self-evident in nature (e.g., the parallel postulate in Euclidean geometry). To axiomatize a system of knowledge is to show that its claims can be derived from a...
- whereas other set theories, such as von Neumann–Bernays–Gödel set theory, axiomatize the notion of "proper class", e.g., as entities that are not members of...
- possessed by all natural numbers ("Induction axiom"). In mathematics, axiomatization is the process of taking a body of knowledge and working backwards towards...
- the standard ZFC axiomatization of set theory. Czesław Ryll-Nardzewski proved that Peano arithmetic cannot be finitely axiomatized, and Richard Montague...
- (compact totally disconnected Hausdorff) topological space. The first axiomatization of Boolean lattices/algebras in general was given by the English philosopher...
- Hilbert's sixth problem is to axiomatize those branches of physics in which mathematics is prevalent. It occurs on the widely cited list of Hilbert's problems...
- 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...
- is a complemented distributive lattice. The section on axiomatization lists other axiomatizations, any of which can be made the basis of an equivalent definition...