Definition of Axiomatization. Meaning of Axiomatization. Synonyms of Axiomatization

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

Definition of Axiomatization

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Meaning of Axiomatization from wikipedia

- there are certain consistent bodies of propositions with no recursive axiomatization. Typically, the computer can recognize the axioms and logical rules...
- 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...
- 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...
- including completeness, consistency, and the existence of an effective axiomatization. The incompleteness theorems show that systems which contain a sufficient...
- standard statement of the incompleteness theorem by ****erting that an axiomatization of the natural numbers that is both complete and sound is impossible...
- is a complemented distributive lattice. The section on axiomatization lists other axiomatizations, any of which can be made the basis of an equivalent definition...
- (compact totally disconnected Hausdorff) topological space. The first axiomatization of Boolean lattices/algebras in general was given by the English philosopher...
- negation (¬), implication (→) and propositional symbols. A well-known axiomatization, comprising three axiom schemata and one inference rule (modus ponens)...