Definition of Axiomatisation. Meaning of Axiomatisation. Synonyms of Axiomatisation

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

Definition of Axiomatisation

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Meaning of Axiomatisation from wikipedia

- In mathematics and logic, an axiomatic system is any set of primitive notions and axioms to logically derive theorems. A theory is a consistent, relat...
- There have been several attempts in history to reach a unified theory of mathematics. Some of the most respected mathematicians in the academia have expressed...
- mathematics, and it or an equivalent appears in just about any alternative axiomatisation of set theory. However, it may require modifications for some purposes...
- logician Charles Sanders Peirce. It was taken as an axiom in his first axiomatisation of propositional logic. It can be thought of as the law of excluded...
- meaning of the higher-order domains is partly determined by an explicit axiomatisation, drawing on type theory, of the properties of the sets or functions...
- what we call the substitutional axiomatisation. Both formalisations have variables, but where the one-rule axiomatisation has schematic variables that are...
- him his theory of probability." Yet Andrey Kolmogorov, whose rival axiomatisation was better received, was less severe: "The basis for the applicability...
- of the axioms of plane geometry—though Proclus tells of an earlier axiomatisation by Hippocrates of Chios. In the 17th century, Descartes introduced Cartesian...
- weakening the above requirement of ω-consistency to simple consistency; Axiomatisation of the core of Gödel's result in terms of a modal language, provability...
- Applications of measures include the Lebesgue integral, Kolmogorov's axiomatisation of probability theory, and ergodic theory.[citation needed] Knot theory...