Definition of Axiomatization. Meaning of Axiomatization. Synonyms of Axiomatization

- possessed by all natural numbers ("Induction axiom"). In mathematics, axiomatization is the process of taking a body of knowledge and working backwards towards...
- Philosophy. Metamath version of the ZFC axioms — A concise and nonredundant axiomatization. The background first order logic is defined especially to facilitate...
- the standard ZFC axiomatization of set theory. Czesław Ryll-Nardzewski proved that Peano arithmetic cannot be finitely axiomatized, and Richard Montague...
- Sanders Peirce provided an axiomatization of natural-number arithmetic. In 1888, Richard Dedekind proposed another axiomatization of natural-number arithmetic...
- (compact totally disconnected Hausdorff) topological space. The first axiomatization of Boolean lattices/algebras in general was given by the English philosopher...
- and differential geometry. The Peano axioms are the most widely used axiomatization of first-order arithmetic. They are a set of axioms strong enough to...
- that decides membership in the set. To obtain a primitive recursive axiomatization, instead of replacing a formula A i {\displaystyle A_{i}} with A i ∧...
- Peirce provided the first axiomatization of natural-number arithmetic. In 1888, Richard Dedekind proposed another axiomatization of natural-number arithmetic...
- In intuitionistic mathematics, a choice sequence is a constructive formulation of a sequence. Since the Intuitionistic school of mathematics, as formulated...
- is a complemented distributive lattice. The section on axiomatization lists other axiomatizations, any of which can be made the basis of an equivalent definition...