Definition of Axiomatise. Meaning of Axiomatise. Synonyms of Axiomatise

- with sets and their elements. It is possible to start differently, by axiomatising not elements of sets but functions between sets. This can be done by...
- seemed more and more plausible, as large parts of mathematics became axiomatised and thus subject to the simple criteria of rigorous proof. Pure mathematics...
- entailed by GD over minimal logic. Law of the excluded middle (LEM), axiomatised A ∨ ¬ A {\displaystyle A\vee \neg A} , is the most often cited formulation...
- Zermelo set theory was successful precisely because it was capable of axiomatising "ordinary" mathematics, fulfilling the programme begun by Cantor over...
- \phi } . These three additional rules extend the propositional system to axiomatise classical predicate logic. Likewise, these three rules extend system for...
- K consists exactly of the reducts to σ of σ'-structures in K'. K' is axiomatised by the single sentence ( ∀ x ∀ y ( f ( x ) = f ( y ) → x = y ) ∧ ∃ y...
- Frege's first work, the Begriffsschrift ("concept script") is a rigorously axiomatised system of propositional logic, relying on just two connectives (negational...
- for Representation and Invariance of Scientific Structures (2002) on axiomatising a wide range of scientific theories in terms of set theory 2004 – Kim...
- has been work on classes of models defined semantically rather than axiomatised by a logical theory. One example is homogeneous model theory, which studies...
- Dummett showed that infinite-valued propositional Gödel logic can be axiomatised by adding the axiom schema ( A → B ) ∨ ( B → A ) {\displaystyle (A\rightarrow...