one-to-one correspondence
- one-to-one correspondence
Two sets can be put into one-to-one correspondence when to each element of one there corresponds one element of the other, and to each distinct element of the one a different element of the other. Counting is an operation that puts n-membered sets of objects into one-to-one correspondence with the set of the first n natural numbers. When two sets can be put into such a correspondence they are equinumerous.
This definition makes no use of numbers, and opens the way to defining a number in terms of a set of equinumerous sets. It thus lies at the heart of the
logicist programme of
Frege and
Russell . See also
Hume's principle.
Philosophy dictionary.
Academic.
2011.
Look at other dictionaries:
one-to-one correspondence — abipusė atitiktis statusas T sritis fizika atitikmenys: angl. one to one correspondence vok. gegenseitige Korrespondenz, f rus. взаимное соответствие, n pranc. correspondance biunivoque, f … Fizikos terminų žodynas
one to one correspondence — direct correspondence in which every item has exactly one counterpart … English contemporary dictionary
one-to-one — correspondence … Philosophy dictionary
correspondence — [kôr΄əspän′dəns, kär΄əspän′dəns] n. [ME < ML correspondentia < prp. of correspondere: see CORRESPOND] 1. agreement with something else or with one another; conformity 2. similarity; analogy 3. a) communication by exchange of letters b) the… … English World dictionary
One-to-one — or one to one may refer to: One to one function or injective function One to one correspondence or bijective function One to one (communication), the act of an individual communicating with another One to one computing, an initiative for a… … Wikipedia
One-to-one (disambiguation) — One to one or one to one is an adjective which can qualify: *in mathematics, an injective function (one to one) or a bijective function (one to one correspondence) *in telecommunications, one to one (communication) *in computer science, one to… … Wikipedia
one-to-one — adj 1.) between only two people ▪ tuition on a one to one basis 2.) matching each other exactly ▪ a one to one correspondence between letters and sounds >one to one adv ▪ I need to discuss it with him one to one … Dictionary of contemporary English
correspondence — noun 1 letters exchanged ADJECTIVE ▪ confidential, personal, private ▪ business, diplomatic, official ▪ regular ▪ … Collocations dictionary
Correspondence (mathematics) — In mathematics and mathematical economics, correspondence is a term with several related but not identical meanings. In general mathematics, correspondence is an alternative term for a relation between two sets. Hence a correspondence of sets X… … Wikipedia
one-for-one — | ̷ ̷ ̷ ̷| ̷ ̷ adjective : one to one a one for one correspondence between symbols and syllables Kenneth Croft * * * one for one «WUHN fuhr WUHN», adjective. = one to one. (Cf. ↑one to one) * * * denoting or referring to a situation or… … Useful english dictionary
