# 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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