Definition of Axiomatisations. Meaning of Axiomatisations. Synonyms of Axiomatisations

- In mathematics and logic, an axiomatic system is a set of formal statements (i.e. axioms) used to logically derive other statements such as lemma or theorems...
- 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...
- (from (4) and (3) by modus ponens) There is an unlimited amount of axiomatisations of predicate logic, since for any logic there is freedom in choosing...
- Business Administration. 9: 69–84. ISSN 1886-516X. Bibby, John (1974). "Axiomatisations of the average and a further generalisation of monotonic sequences"...
- moyenne. Atti Accad. Naz. Lincei 12, pp. 388–391. John Bibby (1974) "Axiomatisations of the average and a further generalisation of monotonic sequences...
- there are no ur-elements, but they are included in some alternative axiomatisations of set theory. Ur-elements can be treated as a different logical type...
- Applications of measures include the Lebesgue integral, Kolmogorov's axiomatisation of probability theory, and ergodic theory.[citation needed] Knot theory...
- A generalisation of this theorem was given by Bibby, John (1974). "Axiomatisations of the average and a further generalisation of monotonic sequences"...
- formalized at this time. Giuseppe Peano provided in 1888 a complete axiomatisation based on the ordinal property of the natural numbers. The last Peano's...
- 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...