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(*British* **axiomatise**)

Express (a theory) as a set of axioms.

*‘the attempts that are made to axiomatize linguistics’**‘Many other mathematicians attempted to axiomatise set theory.’**‘Rather it prompted him to make the first attempt to axiomatise set theory and he began this task in 1905.’**‘Italian mathematician Giuseppe Peano axiomatized the mathematical theory of natural numbers.’**‘Now Frege axiomatized arithmetic with an intuitive collection of axioms, and proofs of number theory results which he had only sketched earlier he now gave formally.’**‘Poincaré was absolutely correct, however, in his criticism of those like Russell who wished to axiomatise mathematics.’**‘It would build on the early work in axiomatizing branches of mathematics, as well as the monumental efforts of logicists like Frege in developing rigorous logical systems.’**‘The sciences - at any rate the theoretical sciences - are to be axiomatised.’**‘Economic theories have been axiomatized, and articles and books of economics are full of theorems.’**‘The construction of the reals from the integers proceeds in several stages: first axiomatize the positive integers, then construct negative from positive integers, then rationals from integers, and finally reals from rationals.’**‘Hilbert believed that all of mathematics could be precisely axiomatized.’**‘Grammar formalisms - special-purpose systems for the description of linguistic systems and subsystems - can be thought of as logics designed to axiomatize the association of linguistic structures with strings of symbols.’**‘Moreover, the geometries axiomatized in the book have consistent and decidable extensions, namely, Euclidean or hyperbolic geometry over real-closed fields.’**‘Any one of the ordinary, everyday proofs mathematicians deal with in their work can be re-written in a formal way that fits into this framework the logicians have axiomatized.’**‘Within politics, the eventual Truth is axiomatised according to the strategic perpetuation of hegemonic rule.’**‘The Godel Incompleteness Theorem applies only to formal logic systems axiomatized in a certain way.’**‘Gentzen's was the most outstanding contribution to Hilbert's programme of axiomatising mathematics.’**‘System PC is only one of many possible ways of axiomatizing propositional logic.’*

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