Explore Finitary through 7 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Finitary in a sentence
Finitary meaning
- Of a function, taking a finite number of arguments to produce an output.
- Pertaining to finite-length proofs, each using a finite set of axioms.
Using Finitary
- The main meaning on this page is: Of a function, taking a finite number of arguments to produce an output. | Pertaining to finite-length proofs, each using a finite set of axioms.
- In the example corpus, finitary often appears in combinations such as: finitary relations.
Context around Finitary
- Average sentence length in these examples: 24 words
- Position in the sentence: 1 start, 4 middle, 2 end
- Sentence types: 7 statements, 0 questions, 0 exclamations
Corpus analysis for Finitary
- In this selection, "finitary" usually appears in the middle of the sentence. The average example has 24 words, and this corpus slice is mostly made up of statements.
- Around the word, word, term, relations, first and finit stand out and add context to how "finitary" is used.
- Recognizable usage signals include deals in finitary relations and and focuses on finitary first order. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "finitary" sits close to words such as aaba, aafc and aaib, which helps place it inside the broader word index.
Example types with finitary
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Relations with a finite number of places are called finite-place or finitary relations. (14 words)
Branches of model theory This article focuses on finitary first order model theory of infinite structures. (16 words)
It should not be confused with relational algebra which deals in finitary relations (and in practice also finite and many-sorted). (21 words)
Hilbert was initially a deductivist, but, as may be clear from above, he considered certain metamathematical methods to yield intrinsically meaningful results and was a realist with respect to the finitary arithmetic. (32 words)
But van Heijenoort says Herbrand's conception was "on the whole much closer to that of Hilbert's word 'finitary' ('finit') that to "intuitionistic" as applied to Brouwer's doctrine". (30 words)
Hilbert accepted this proof as "finitary" although (as Gödel's theorem had already shown) it cannot be formalized within the system of arithmetic that is being proved consistent. (28 words)
Example sentences (7)
Branches of model theory This article focuses on finitary first order model theory of infinite structures.
But van Heijenoort says Herbrand's conception was "on the whole much closer to that of Hilbert's word 'finitary' ('finit') that to "intuitionistic" as applied to Brouwer's doctrine".
Hilbert accepted this proof as "finitary" although (as Gödel's theorem had already shown) it cannot be formalized within the system of arithmetic that is being proved consistent.
Hilbert was initially a deductivist, but, as may be clear from above, he considered certain metamathematical methods to yield intrinsically meaningful results and was a realist with respect to the finitary arithmetic.
It should not be confused with relational algebra which deals in finitary relations (and in practice also finite and many-sorted).
Moreover, Hilbert proposed that the analysis should be entirely concrete, using the term finitary to refer to the methods he would allow but not precisely defining them.
Relations with a finite number of places are called finite-place or finitary relations.
Common combinations with finitary
These word pairs occur most frequently in English texts: