# axiomatization in a sentence

1) Expanding the above definition as equations yields the following finite axiomatization.

2) In finance, the power of axiomatization is largely wasted.

3) axiomatization should be left for a second course.

4) As with other algebraic structures, there exist alternative axiomatizations.

## axiomatization example sentences

5) We develop our axiomatization by considering the structure of formulas.

6) Therefore no formal system is a complete axiomatization of full number theory.

7) I don't like axiomatization in finance.

8) This axiomatization is now known as von Neumann-Bernays-Gödel set theory.

9) Further, in scientific contexts, this represents the natural axiomatization.

10) The standard axiomatization of second-order arithmetic is denoted Z2.

11) There are slight variations and alternate axiomatizations in presentations of Boolean algebra.

12) This axiomatization is due to Felix Hausdorff.

13) Some ZF axiomatizations include an axiom asserting that the empty set exists.

14) This axiomatization of Boolean algebra is due to Huntington (1933).

### example sentences with axiomatization

15) There are many different, but equivalent, axiomatizations of Peano arithmetic.

16) axiomatization of EVŁ stems from Łukasziewicz fuzzy logic.

17) First-order axiomatizations of Peano arithmetic have an important limitation, however.

18) In 1933, Huntington set out the following elegant axiomatization for Boolean algebra.

19) Other axiomatizations have been suggested by various authors to make the theory more rigorous.

20) One such axiomatization begins with the following axioms that describe a discrete ordered semiring.

21) In 1881, Charles Sanders Peirce provided an axiomatization of natural-number arithmetic.

22) See Tarski's axiomatization of the reals.

23) The Peano axioms are the most widely used "axiomatization" of first-order arithmetic.

24) Tarski's axiomatization is also complete.

25) Metamath version of the ZFC axioms – A concise and nonredundant axiomatization.

26) We fix some axiomatization of the predicate calculus: logical axioms and rules of inference.

27) The actual axioms of the axiomatization are obtained by setting the metavariables to specific values.

#### How to use axiomatization in a sentence

28) The finite axiomatization presented below does not necessarily resemble exactly any NBG axiomatization in print.

29) The finite axiomatization presented below does not necessarily resemble exactly any NBG axiomatization in print.

30) In fact this is the traditional axiomatization of Boolean algebra as a complemented distributive lattice.

31) So he proposed his own theory, his 1925 "An axiomatization of set theory".

32) Gödel's incompleteness theorems (Gödel 1931) establish additional limits on first-order axiomatizations.

33) For another axiomatization of R, see Tarski's axiomatization of the reals.

34) For another axiomatization of R, see Tarski's axiomatization of the reals.

35) axiomatization is very powerful in mathematics and leads to results you didn't think of before.

36) But von Neumann was not convinced that this axiomatization could not lead to the antinomies.

37) I think avoidance of axiomatization in first courses is the right thing to do in physics too.

38) axiomatization grows ever broader but never appreciably exceeds careful, extensive observation while scientists keep accurate records for collaboration.

39) In axiomatizations of quantum mechanics, the classical information is carried in a Frobenius algebra or Frobenius category.

40) Includes an elementary treatment of the axiomatization of determinants as signed areas, volumes, and higher-dimensional volumes.

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