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Meaning of "infinitary" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF INFINITARY

infinitary  [ɪnˈfɪnɪtərɪ] play
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GRAMMATICAL CATEGORY OF INFINITARY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Infinitary is an adjective.
The adjective is the word that accompanies the noun to determine or qualify it.

WHAT DOES INFINITARY MEAN IN ENGLISH?

Finitary

In mathematics or logic, a finitary operation is an operation that takes a finite number of input values to produce an output, like those of arithmetic. Operations on infinite numbers of input values are called infinitary. A finitary argument is one which can be translated into a finite set of symbolic propositions starting from a finite set of axioms. In other words, it is a proof (including all assumptions) that can be written on a large enough sheet of paper. The emphasis on finitary methods has historical roots. Infinitary logic studies logics that allow infinitely long statements and proofs. In such a logic, one can regard the existential quantifier, for instance, as derived from an infinitary disjunction. In the early 20th century, logicians aimed to solve the problem of foundations; that is, answer the question: "What is the true base of mathematics?" The program was to be able to rewrite all mathematics starting using an entirely syntactical language without semantics.

Definition of infinitary in the English dictionary

The definition of infinitary in the dictionary is pertaining to infinity, involving or allowing infinite things, involving the concept of infinity.

WORDS THAT RHYME WITH INFINITARY


admonitory
ədˈmɒnɪtərɪ
dignitary
ˈdɪɡnɪtərɪ
insanitary
ɪnˈsænɪtərɪ
military
ˈmɪlɪtərɪ
monetary
ˈmʌnɪtərɪ
monitory
ˈmɒnɪtərɪ
nonmonetary
ˌnɒnˈmʌnɪtərɪ
phytosanitary
ˌfaɪtəʊˈsænɪtərɪ
planetary
ˈplænɪtərɪ
premonitory
prɪˈmɒnɪtərɪ
primogenitary
ˌpraɪməʊˈdʒɛnɪtərɪ
protoplanetary
ˌprəʊtəʊˈplænɪtərɪ
punitory
ˈpjuːnɪtərɪ
recognitory
rɪˈkɒɡnɪtərɪ
sanitary
ˈsænɪtərɪ
sonnetary
ˈsɒnɪtərɪ
territory
ˈtɛrɪtərɪ
unitary
ˈjuːnɪtərɪ
unsanitary
ʌnˈsænɪtərɪ
vanitory
ˈvænɪtərɪ

WORDS THAT BEGIN LIKE INFINITARY

infima
infimum
infin.
infinitant
infinitate
infinite
infinitely
infiniteness
infinitesimal
infinitesimal calculus
infinitesimally
infinities
infinitival
infinitivally
infinitive
infinitive marker
infinitively
infinitude
infinitum
infinity

WORDS THAT END LIKE INFINITARY

antimilitary
cavitary
depositary
elementary
extralimitary
hereditary
hyperpituitary
hypopituitary
intracavitary
limitary
nonhereditary
nonmilitary
paramilitary
pituitary
plebiscitary
promilitary
solitary
termitary
the military
ubiquitary
unmilitary

Synonyms and antonyms of infinitary in the English dictionary of synonyms

SYNONYMS

Translation of «infinitary» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF INFINITARY

Find out the translation of infinitary to 25 languages with our English multilingual translator.
The translations of infinitary from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «infinitary» in English.

Translator English - Chinese

infinitary
1,325 millions of speakers

Translator English - Spanish

infinitary
570 millions of speakers

English

infinitary
510 millions of speakers

Translator English - Hindi

infinitary
380 millions of speakers
ar

Translator English - Arabic

infinitary
280 millions of speakers

Translator English - Russian

инфинитного
278 millions of speakers

Translator English - Portuguese

infinitária
270 millions of speakers

Translator English - Bengali

infinitary
260 millions of speakers

Translator English - French

infinitaire
220 millions of speakers

Translator English - Malay

Infiniti
190 millions of speakers

Translator English - German

infinitärer
180 millions of speakers

Translator English - Japanese

infinitary
130 millions of speakers

Translator English - Korean

infinitary
85 millions of speakers

Translator English - Javanese

Infinitary
85 millions of speakers
vi

Translator English - Vietnamese

infinitary
80 millions of speakers

Translator English - Tamil

infinitary
75 millions of speakers

Translator English - Marathi

अनियंत्रित
75 millions of speakers

Translator English - Turkish

infinitary
70 millions of speakers

Translator English - Italian

infinitaria
65 millions of speakers

Translator English - Polish

infinitary
50 millions of speakers

Translator English - Ukrainian

інфінітним
40 millions of speakers

Translator English - Romanian

infinitului
30 millions of speakers
el

Translator English - Greek

infinitary
15 millions of speakers
af

Translator English - Afrikaans

infinitary
14 millions of speakers
sv

Translator English - Swedish

infinitary
10 millions of speakers
no

Translator English - Norwegian

infinitary
5 millions of speakers

Trends of use of infinitary

TRENDS

TENDENCIES OF USE OF THE TERM «INFINITARY»

The term «infinitary» is normally little used and occupies the 148.367 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
31
/100
The map shown above gives the frequency of use of the term «infinitary» in the different countries.
Principal search tendencies and common uses of infinitary
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «infinitary».

FREQUENCY OF USE OF THE TERM «INFINITARY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «infinitary» during the past 500 years. Its implementation is based on analysing how often the term «infinitary» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about infinitary

EXAMPLES

10 ENGLISH BOOKS RELATING TO «INFINITARY»

Discover the use of infinitary in the following bibliographical selection. Books relating to infinitary and brief extracts from same to provide context of its use in English literature.
1
0-1 Laws for Infinitary Logics
This result subsumes earlier work on asymptotic probabilities for various fixpoint logics and reveals the boundary of 0-1 laws for infinitary logics."
Phokion Gerasimos Kolaitis, Moshe Y. Vardi, 1990
2
Infinitary Logic, Cardinals Characterizable by Scott ...
CHAPTER 1 Introduction to Infinitary Logic In what follows we assume that the reader has basic familiarity with first-order logic and set theory. We work in ZFC. 1.1 Basic Definitions and Theorems Let £ be our language. We will only consider  ...
Ioannis Athanasios Souldatos, 2008
3
Routledge Encyclopedia of Philosophy: Genealogy to Iqbal
For languages between C',oa and £xx, as expected, the expressive power increases as the language becomes more infinitary. Thus, for example, each well ,ordering is characterizable up to isomorphism by a sentence 0 of Cxn, and the notion ...
Edward Craig, 1998
4
Database Theory - ICDT '92: 4th International Conference, ...
4th International Conference, Berlin, Germany, October 14-16, 1992. Proceedings Joachim Biskup, Richard Hull. Computing with Infinitary Logic Serge Abiteboul1, Moshe Vardi2, and Victor Vianu3 1 INRIA, BP 105, 78153 Le Chesnay CEDEX ...
Joachim Biskup, Richard Hull, 1992
5
Advances in Logic: The North Texas Logic Conference, October ...
Computable infinitary formulas are useful in describing computable structures. Roughly speaking, these are infinitary formulas in which the disjunctions and conjunctions are over c.e. sets. They are essentially the same as the formulas in the ...
Su Gao, Steve Jackson, Yi Zhang, 2007
6
Stanford Encyclopedia of Philosophy:
Infinitary. Logic. Traditionally, expressions in formal systems have been regarded as signifying finite inscriptions which are--at least in principle--capable of actually being written out in primitive notation. However, the fact that (first-order) ...
Stanford Encyclopedia
7
Structure and Randomness: Pages from Year One of a ...
Soft analysis, hard analysis, and the finite convergence principle In the field of analysis, it is common to make a distinction between "hard" , "quantitative", or " finitary" analysis on the one hand, and "soft", "qualitative", or "infinitary" analysis on ...
Terence Tao
8
Finite Model Theory and Its Applications
This will be done in the next section, where we shall bring into the picture a family of infinitary logics with finitely many variables, shall introduce new combinatorial games for analyzing their expressive power, and shall apply the methodology ...
Erich Grädel, Phokion G. Kolaitis, Leonid Libkin, 2007
9
Agent-Based Defeasible Control in Dynamic Environments: ...
Although not very common, infinitary proof rules have been used in a number of proof systems: Hilbert used an infinitary proof rule in axiomatising number theory [Hilbert, 1931], Schiitte uses infinitary proof rules in a number of systems [Schiitte  ...
John-Jules Meyer, Jan Treur, 2002
10
Term Rewriting and Applications: 16th International ...
Infinitary Combinatory Reduction Systems (Extended Abstract) Jeroen Ketema1 and Jakob Grue Simonsen2 1 Department of Computer Science, Vrije Universiteit Amsterdam De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands ...
Jürgen Giesl, 2005

NEWS ITEMS WHICH INCLUDE THE TERM «INFINITARY»

Find out what the national and international press are talking about and how the term infinitary is used in the context of the following news items.
1
Heroes & Generals - Open Beta Trailer
Kamson PL 1 month ago. PTRD is good gun but vs infinitary is noob gun i think. Read more Show less. Reply · 1 ... «YouTube, Mar 13»

REFERENCE
« EDUCALINGO. Infinitary [online]. Available <https://educalingo.com/en/dic-en/infinitary>. Apr 2024 ».
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