# 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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