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Get to know Axiomatize better with 6 real example sentences, the meaning.

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Axiomatize in a sentence

Related words

Axiomatize | Axiomatized

Axiomatize meaning

To establish a set of axioms that describe or govern certain phenomena

Using Axiomatize

  • The main meaning on this page is: To establish a set of axioms that describe or govern certain phenomena
  • In the example corpus, axiomatize often appears in combinations such as: to axiomatize.

Context around Axiomatize

  • Average sentence length in these examples: 22.8 words
  • Position in the sentence: 2 start, 2 middle, 2 end
  • Sentence types: 6 statements, 0 questions, 0 exclamations

Often before:

general 1×

Often after:

exponentiation 1× zfc 1× predicate 1×

Sentence patterns with Axiomatize

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

designed to axiomatize the pure 1× in general axiomatize exponentiation 1× possible to axiomatize zfc with 1× to axiomatize a system 1× ways to axiomatize a given 1× we axiomatize predicate calculus 1×

Sentence openings and endings

Common sentence openings:

in modern set 1× there are typically 1× these all show 1× this result shows 1× to axiomatize a 1× we axiomatize predicate 1×

Common sentence endings:

general axiomatize exponentiation 1× given mathematical domain 1× infinite axiom schema 1× pure sets only 1× sentences the axioms 1× special relation symbol 1×

Words around Axiomatize

Just before it in the word index:

axiomatizations 6 axiomatization 13 axiomatizable 3 axiomatisations 2 axiomatisation 4 axiomatically 5

Just after it in the word index:

axiomatized 8 axioms 293 axion 7 axions 6 axios 92 axis 1.387

Similar in corpus frequency:

aaas 8 aacc 8 aacs 8 aafes 8 aankh 8 aapp 8

Corpus analysis for Axiomatize

  • In this selection, "axiomatize" usually appears near the start of the sentence. The average example has 22.8 words, and this corpus slice is mostly made up of statements.
  • Around the word, general, exponentiation, zfc and predicate stand out and add context to how "axiomatize" is used.
  • Recognizable usage signals include designed to axiomatize the pure and in general axiomatize exponentiation. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "axiomatize" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.

Example types with axiomatize

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

There are typically multiple ways to axiomatize a given mathematical domain. (11 words)

This result shows that it is possible to axiomatize ZFC with a single infinite axiom schema. (16 words)

We axiomatize predicate calculus without equality, i.e. there are no special axioms expressing the properties of equality as a special relation symbol. (23 words)

Longer example sentences

In modern set theory, it is common to restrict attention to the von Neumann universe of pure sets, and many systems of axiomatic set theory are designed to axiomatize the pure sets only. (33 words)

These all show that even for rational numbers exponentiation is not nearly as well-behaved as addition and multiplication, which is why one does not in general axiomatize exponentiation. (29 words)

To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences (the axioms). (25 words)

Example sentences (6)

In modern set theory, it is common to restrict attention to the von Neumann universe of pure sets, and many systems of axiomatic set theory are designed to axiomatize the pure sets only.

There are typically multiple ways to axiomatize a given mathematical domain.

These all show that even for rational numbers exponentiation is not nearly as well-behaved as addition and multiplication, which is why one does not in general axiomatize exponentiation.

This result shows that it is possible to axiomatize ZFC with a single infinite axiom schema.

To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences (the axioms).

We axiomatize predicate calculus without equality, i.e. there are no special axioms expressing the properties of equality as a special relation symbol.

Common combinations with axiomatize

These word pairs occur most frequently in English texts:

  • to axiomatize 4×

Frequently asked questions

How do you use "axiomatize" in a sentence?
An example: "In modern set theory, it is common to restrict attention to the von Neumann universe of pure sets, and many systems of axiomatic set theory are designed to axiomatize the pure sets only." This page contains 6 example sentences with the word "axiomatize" from authentic English texts.
What does "axiomatize" mean?
Axiomatize means: To establish a set of axioms that describe or govern certain phenomena
How many example sentences with "axiomatize" are there?
Voorbeeldzinnen.info contains 6 example sentences with "axiomatize", drawn from a database of millions of English sentences.