Definition of Axiomatizations. Meaning of Axiomatizations. Synonyms of Axiomatizations

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

Definition of Axiomatizations

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Meaning of Axiomatizations from wikipedia

- in other words, sets shouldn't refer to themselves). In some other axiomatizations of ZF, this axiom is redundant in that it follows from the axiom schema...
- method". Church was evidently unaware that string theory already had two axiomatizations from the 1930s: one by Hans Hermes and one by Alfred Tarski. Coincidentally...
- a modern treatment of Euclidean geometry. Other well-known modern axiomatizations of Euclidean geometry are those of Alfred Tarski and of George Birkhoff...
- In topology and related branches of mathematics, the Kuratowski closure axioms are a set of axioms that can be used to define a topological structure on...
- possessed by all natural numbers ("Induction axiom"). In mathematics, axiomatization is the process of taking a body of knowledge and working backwards towards...
- first-order language (in fact, most sets have this property). First-order axiomatizations of Peano arithmetic have another technical limitation. In second-order...
- 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...
- In mathematics, Robinson arithmetic is a finitely axiomatized fragment of first-order Peano arithmetic (PA), first set out by Raphael M. Robinson in 1950...
- 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...