axiomatisation in a sentence

1) Thus one chooses the axiomatisation suited for the application.

2) Their objective was the axiomatisation of branches of mathematics like geometry, arithmetic, analysis and set theory.

3) Applications of measures include the Lebesgue integral, Kolmogorov's axiomatisation of probability theory, and ergodic theory.

4) While he mentions the efforts of David Hilbert to prove the consistency of his axiomatisation of mathematics von Neumann placed him in the same group as Russell.

axiomatisation example sentences

5) John von Neumann in his 1925 "An axiomatisation of set theory" wrestled with the same issues as did Russell, Zermelo, Skolem, and Fraenkel.

6) The hyperreals can be constructed in the framework of Zermelo-Fraenkel set theory, the standard axiomatisation of set theory used elsewhere in mathematics.

7) The main applications of measures are in the foundations of the Lebesgue integral, in Andrey Kolmogorov's axiomatisation of probability theory and in ergodic theory.

8) The introduction of the concepts of abstractions and axiomatisation is attributable to the Greek mathematician/philosophers of the period 600-300 BC.

9) Abstraction and axiomatisation","Class":"{col0 coll}"}],"Right":[],"TokenNum":1208314261}

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