Random word

Explore Axiomatized through 8 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.

Rare word

Axiomatized in a sentence

Axiomatized meaning

simple past and past participle of axiomatize

Using Axiomatized

  • The main meaning on this page is: simple past and past participle of axiomatize
  • In the example corpus, axiomatized often appears in combinations such as: effectively axiomatized.

Context around Axiomatized

  • Average sentence length in these examples: 21.4 words
  • Position in the sentence: 1 start, 5 middle, 2 end
  • Sentence types: 8 statements, 0 questions, 0 exclamations

Often before:

effectively 3× fraenkel 1× support 1× categorically 1×

Often after:

independently 1× complex 1× mathematics 1× consistent 1×

Sentence patterns with Axiomatized

These short patterns come directly from the example sentences and show how the word is often embedded:

and effectively axiomatized 1× and fraenkel axiomatized an object 1× be categorically axiomatized in first 1× be effectively axiomatized also called 1× birkhoff had axiomatized complex projective 1× no effectively axiomatized consistent extension 1× than being axiomatized independently 1× to support axiomatized mathematics with 1×

Sentence openings and endings

Common sentence openings:

earlier menger and 1× effective axiomatization a 1× fuzzy set theory 1× his attempt to 1× moreover no effectively 1× the löwenheim skolem 1×

Common sentence endings:

2004 p 112 1× and effectively axiomatized 1× being axiomatized independently 1× can be complete 1× ended in failure 1× first order logic 1×

Words around Axiomatized

Just before it in the word index:

axiomatize 6 axiomatizations 6 axiomatization 13 axiomatizable 3 axiomatisations 2 axiomatisation 4

Just after it in the word index:

axioms 293 axion 7 axions 6 axios 92 axis 1.387 axisymmetric 3

Similar in corpus frequency:

aaaaa 11 aaba 11 aafc 11 aaib 11 aalbers 11 aardvarks 11

Corpus analysis for Axiomatized

  • In this selection, "axiomatized" usually appears in the middle of the sentence. The average example has 21.4 words, and this corpus slice is mostly made up of statements.
  • Around the word, effectively, fraenkel, support, independently, complex and mathematics stand out and add context to how "axiomatized" is used.
  • Recognizable usage signals include and effectively axiomatized and and fraenkel axiomatized an object. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "axiomatized" sits close to words such as aaaaa, aaba and aafc, which helps place it inside the broader word index.

Example types with axiomatized

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

Moreover, no effectively axiomatized, consistent extension of Peano arithmetic can be complete. (12 words)

The Löwenheim–Skolem theorem implies that infinite structures cannot be categorically axiomatized in first-order logic. (16 words)

His attempt to support axiomatized mathematics with definitive principles, which could banish theoretical uncertainties, ended in failure. (17 words)

Longer example sentences

All of these concepts are usually defined as subsets of an ambient vector space (except for affine spaces, which are also considered as "vector spaces forgetting the origin"), rather than being axiomatized independently. (33 words)

Effective axiomatization A formal system is said to be effectively axiomatized (also called effectively generated) if its set of theorems is a recursively enumerable set (Franzén 2004, p. 112). (29 words)

Fuzzy set theory main In set theory as Cantor defined and Zermelo and Fraenkel axiomatized, an object is either a member of a set or not. (26 words)

Example sentences (8)

All of these concepts are usually defined as subsets of an ambient vector space (except for affine spaces, which are also considered as "vector spaces forgetting the origin"), rather than being axiomatized independently.

Earlier, Menger and Birkhoff had axiomatized complex projective geometry in terms of the properties of its lattice of linear subspaces.

Effective axiomatization A formal system is said to be effectively axiomatized (also called effectively generated) if its set of theorems is a recursively enumerable set (Franzén 2004, p. 112).

Fuzzy set theory main In set theory as Cantor defined and Zermelo and Fraenkel axiomatized, an object is either a member of a set or not.

His attempt to support axiomatized mathematics with definitive principles, which could banish theoretical uncertainties, ended in failure.

It is not even possible for an infinite list of axioms to be complete, consistent, and effectively axiomatized.

Moreover, no effectively axiomatized, consistent extension of Peano arithmetic can be complete.

The Löwenheim–Skolem theorem implies that infinite structures cannot be categorically axiomatized in first-order logic.

Common combinations with axiomatized

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "axiomatized" in a sentence?
An example: "All of these concepts are usually defined as subsets of an ambient vector space (except for affine spaces, which are also considered as "vector spaces forgetting the origin"), rather than being axiomatized independently." This page contains 8 example sentences with the word "axiomatized" from authentic English texts.
What does "axiomatized" mean?
Axiomatized means: simple past and past participle of axiomatize
How many example sentences with "axiomatized" are there?
Voorbeeldzinnen.info contains 8 example sentences with "axiomatized", drawn from a database of millions of English sentences.