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Get to know Intuitionism better with 10+ real example sentences, the meaning.

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Intuitionism in a sentence

Intuitionism meaning

An approach to mathematics/logic which avoids proof by contradiction, and which requires that, in order to prove that something exists, one must construct it.

Synonyms of Intuitionism

philosophical doctrine philosophical theory

Related words

Other words often associated with Intuitionism or its synonyms:

ism philosophy doctrine

Using Intuitionism

  • The main meaning on this page is: An approach to mathematics/logic which avoids proof by contradiction, and which requires that, in order to prove that something exists, one must construct it.
  • Useful related words include: philosophical doctrine, philosophical theory.
  • In the example corpus, intuitionism often appears in combinations such as: intuitionism and, of intuitionism, in intuitionism.

Context around Intuitionism

  • Average sentence length in these examples: 19 words
  • Position in the sentence: 4 start, 6 middle, 1 end
  • Sentence types: 11 statements, 0 questions, 0 exclamations

Often before:

although 1× constructed 1× discusses 1×

Often after:

although 1× hilbert 1× allows 1×

Sentence patterns with Intuitionism

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

be constructed intuitionism allows only 1× false in intuitionism and brouwer 1× formulations of intuitionism there are 1× identified with intuitionism although intuitionism 1× in intuitionism the term 1× intuitionism although intuitionism is only 1× intuitionism and infinity 1× intuitionism was created 1×

Sentence openings and endings

Common sentence openings:

a peculiarity of 1× constructivism is often 1× in intuitionism the 1× in particular while 1× indeed hilbert would 1× intuitionism and infinity 1×

Common sentence endings:

be constructively proven 1× can actually construct 1× formalism in depth 1× himself avoided formalization 1× led to criticisms 1× memory of kronecker 1×

Words around Intuitionism

Just before it in the word index:

intuition 242 intuiting 3 intuited 11 intuit 96 intubations 3 intubation 17

Just after it in the word index:

intuitionist 9 intuitionistic 28 intuitionists 7 intuitions 54 intuitive 535 intuitively 129

Similar in corpus frequency:

aab 14 aamer 14 aave 14 abadan 14 abdelmadjid 14 abdulkarim 14

Corpus analysis for Intuitionism

  • In this selection, "intuitionism" usually appears in the middle of the sentence. The average example has 19 words, and this corpus slice is mostly made up of statements.
  • Around the word, although, constructed, discusses, although, hilbert and allows stand out and add context to how "intuitionism" is used.
  • Recognizable usage signals include be constructed intuitionism allows only and false in intuitionism and brouwer. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "intuitionism" sits close to words such as aab, aamer and aave, which helps place it inside the broader word index.

Example types with intuitionism

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

The paradoxes, Kleene discusses Intuitionism and Formalism in depth. (9 words)

Constructivism is often identified with intuitionism, although intuitionism is only one constructivist program. (13 words)

Intuitionism was created, in part, as a reaction to Cantor's set theory. (13 words)

Longer example sentences

Indeed, Hilbert would lose his "gifted pupil" Weyl to intuitionism — "Hilbert was disturbed by his former student's fascination with the ideas of Brouwer, which aroused in Hilbert the memory of Kronecker". (32 words)

In particular, while other philosophies of mathematics allow objects that can be proved to exist even though they cannot be constructed, intuitionism allows only mathematical objects that one can actually construct. (31 words)

The fixed-point theorem is, as he originally stated it, false in intuitionism, and Brouwer disavowed it, proposing instead alternative versions to be constructively proven. (25 words)

Example sentences (11)

Constructivism is often identified with intuitionism, although intuitionism is only one constructivist program.

Intuitionism and infinity Among the different formulations of intuitionism, there are several different positions on the meaning and reality of infinity.

A peculiarity of intuitionism is that it rejects some mathematical ideas considered valid according to other definitions.

Indeed, Hilbert would lose his "gifted pupil" Weyl to intuitionism — "Hilbert was disturbed by his former student's fascination with the ideas of Brouwer, which aroused in Hilbert the memory of Kronecker".

In intuitionism, the term "explicit construction" is not cleanly defined, and that has led to criticisms.

In particular, while other philosophies of mathematics allow objects that can be proved to exist even though they cannot be constructed, intuitionism allows only mathematical objects that one can actually construct.

Intuitionism was created, in part, as a reaction to Cantor's set theory.

Intuitionistic logic was developed by Heyting to study Brouwer's program of intuitionism, in which Brouwer himself avoided formalization.

The fixed-point theorem is, as he originally stated it, false in intuitionism, and Brouwer disavowed it, proposing instead alternative versions to be constructively proven.

The paradoxes, Kleene discusses Intuitionism and Formalism in depth.

There is thus an asymmetry between a positive and negative statement in intuitionism.

Common combinations with intuitionism

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "intuitionism" in a sentence?
An example: "Constructivism is often identified with intuitionism, although intuitionism is only one constructivist program." This page contains 10+ example sentences with the word "intuitionism" from authentic English texts.
What does "intuitionism" mean?
Intuitionism means: An approach to mathematics/logic which avoids proof by contradiction, and which requires that, in order to prove that something exists, one must construct it.
What are synonyms of "intuitionism"?
Common synonyms of "intuitionism" include: philosophical doctrine, philosophical theory.
How many example sentences with "intuitionism" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "intuitionism", drawn from a database of millions of English sentences.