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equinumerous

Meaning of "equinumerous" in the English dictionary

DICTIONARY

PRONUNCIATION OF EQUINUMEROUS

ˌiːkwɪˈnjuːmərəs


GRAMMATICAL CATEGORY OF EQUINUMEROUS

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

WHAT DOES EQUINUMEROUS MEAN IN ENGLISH?

Equinumerosity

In mathematics, two sets A and B are equinumerous if there exists a one-to-one correspondence between them, i.e. if there exists a function from A to B such that for every element y of B there is exactly one element x of A with f = y. This definition can be applied to both finite and infinite sets and allows one to state that two sets have the same size even if they are infinite. The study of cardinality is often called equinumerosity. The terms equipollence and equipotence are sometimes used instead. The statement that two sets A and B are equinumerous is usually denoted or, or Georg Cantor, the inventor of set theory, showed in 1874 that there is more than one kind of infinity, specifically that the collection of all natural numbers and the collection of all real numbers, while both infinite, are not equinumerous.

Definition of equinumerous in the English dictionary

The definition of equinumerous in the dictionary is having the same number of members.

WORDS THAT RHYME WITH EQUINUMEROUS

amorous · clamorous · decamerous · dimerous · glamorous · glamourous · humerus · humorous · innumerous · monomerous · murmurous · nemorous · numerous · octamerous · oligomerous · rumorous · timorous · tumorous · unglamorous · unhumorous

WORDS THAT BEGIN LIKE EQUINUMEROUS

equine · equine distemper · equine herpesvirus · equine infectious anaemia · equine influenza · equinely · equinia · equinity · equinoctial · equinoctial circle · equinoctial line · equinoctial point · equinoctial spring · equinoctially · equinox · equip · equipage · equiparate · equiparation · equipartition

WORDS THAT END LIKE EQUINUMEROUS

adulterous · boisterous · cadaverous · cancerous · coniferous · cruciferous · dangerous · generous · murderous · noncancerous · odoriferous · onerous · preposterous · prosperous · rigorous · seminiferous · serous · slanderous · splendiferous · thunderous · treacherous

Synonyms and antonyms of equinumerous in the English dictionary of synonyms

SYNONYMS

Translation of «equinumerous» into 25 languages

TRANSLATOR

TRANSLATION OF EQUINUMEROUS

Find out the translation of equinumerous to 25 languages with our English multilingual translator.

The translations of equinumerous from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «equinumerous» in English.
zh

Translator English - Chinese

equinumerous
1,325 millions of speakers
es

Translator English - Spanish

equinumerous
570 millions of speakers
en

English

equinumerous
510 millions of speakers
hi

Translator English - Hindi

equinumerous
380 millions of speakers
ar

Translator English - Arabic

equinumerous
280 millions of speakers
ru

Translator English - Russian

equinumerous
278 millions of speakers
pt

Translator English - Portuguese

equinumerous
270 millions of speakers
bn

Translator English - Bengali

equinumerous
260 millions of speakers
fr

Translator English - French

equinumerous
220 millions of speakers
ms

Translator English - Malay

Equinumerous
190 millions of speakers
de

Translator English - German

mächtig
180 millions of speakers
ja

Translator English - Japanese

equinumerous
130 millions of speakers
ko

Translator English - Korean

equinumerous
85 millions of speakers
jv

Translator English - Javanese

Equinumerous
85 millions of speakers
vi

Translator English - Vietnamese

equinumerous
80 millions of speakers
ta

Translator English - Tamil

equinumerous
75 millions of speakers
mr

Translator English - Marathi

समनुरूप
75 millions of speakers
tr

Translator English - Turkish

equinumerous
70 millions of speakers
it

Translator English - Italian

equinumerous
65 millions of speakers
pl

Translator English - Polish

równoliczne
50 millions of speakers
uk

Translator English - Ukrainian

equinumerous
40 millions of speakers
ro

Translator English - Romanian

equinumerous
30 millions of speakers
el

Translator English - Greek

equinumerous
15 millions of speakers
af

Translator English - Afrikaans

equinumerous
14 millions of speakers
sv

Translator English - Swedish

equinumerous
10 millions of speakers
no

Translator English - Norwegian

equinumerous
5 millions of speakers

Trends of use of equinumerous

TRENDS

TENDENCIES OF USE OF THE TERM «EQUINUMEROUS»

Principal search tendencies and common uses of equinumerous
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «equinumerous».

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «EQUINUMEROUS»

Discover the use of equinumerous in the following bibliographical selection. Books relating to equinumerous and brief extracts from same to provide context of its use in English literature.
1
Computability and Logic
This updated edition is also accompanied by a website as well as an instructor's manual.
George S. Boolos, John P. Burgess, Richard C. Jeffrey, 2007
2
How to Prove It: A Structured Approach
Equinumerous Sets In this chapter, we'll discuss a method of comparing the sizes of infinite sets. Surprisingly, we'll find that, in a sense, infinity comes in different sizes! By now, you should be fairly proficient at reading and writing proofs, ...
Daniel J. Velleman, 2006
3
Classic Set Theory: For Guided Independent Study
any infinite subset which is equinumerous with neither N nor R was, perhaps, the most famous one arising from Cantor's work. His continuum hypothesis is that there is no such subset and its resolution was proposed by Hilbert as one of the ...
D.C. Goldrei, 1996
4
A Critical Introduction to the Philosophy of Gottlob Frege
With respect to (i), Frege points out60 the following: The statement 'The extension of the concept "equinumerous to the concept F" is the same as the extension of the concept "equinumerous to the concept G'" is true if and only if the statement ...
Professor Guillermo E Rosado Haddock, 2012
5
Understanding Mathematics
We say that two sets A and B are "equinumerous" (or of the same cardinality) if there is a map f.A^B which is one-to-one and onto, i.e., a bijection. One sees that if A and B are equinumerous and the sets B and C are equinumerous, then so are ...
K.B. Sinha, 2001
6
Frege's Theorem
On our definition, what has to be shown is that the extension of the concept “ equinumerous with the concept F” is the same as the extension of the concept “ equinumerous with the concept G”, if the concept F is equinumerous with the concept ...
‎2011
7
Theory of Computation
1.5. FINITE. AND. INFINITE. SETS. A basic property of a finite set is its size (i.e., the number of elements it contains). However, an extension of the notion of size to infinite sets leads to difficulties. We call two sets A and B equinumerous if ...
Dr. O. G. Kakde, 2007
8
Philosophy of Mathematics: Selected Readings
Selected Readings Paul Benacerraf, Hilary Putnam. foregoing definition. I define accordingly: the number which appliesto the concept F is the extension9 of the concept “equinumerous with the concept F.” 69. That this definition iscorrect will,  ...
Paul Benacerraf, Hilary Putnam, 1984
9
Conceptual Roots of Mathematics
If we now express 0, 1, 2, etc. explicitly in terms of L, we obtain the following explicit definitions: 0 is the set of all sets equinumerous with the null set, L 1 is the set of all sets equinumerous with {L}, 1 2 3 4 5 6 34 in §9.2–§9.4 and §9.8. 2 is the ...
J.R. Lucas, 2002
10
Numbers, Language, and the Human Mind
brings about a one-to-one correspondence between all their respective elements (Frege 1884: § 68). With this criterion in hand, he can define a number as a set of equinumerous sets, that is, as a set of sets with the same cardinality (Frege ...
Heike Wiese, 2003

NEWS ITEMS WHICH INCLUDE THE TERM «EQUINUMEROUS»

Find out what the national and international press are talking about and how the term equinumerous is used in the context of the following news items.
1
god save the subjunctive
I think upon examination they would find that these are overlapping but not equinumerous sets. Besides, writers like Byron, Thackeray, and ... «The Brown Daily Herald, Feb 15»
REFERENCE
« EDUCALINGO. Equinumerous [online]. Available <https://educalingo.com/en/dic-en/equinumerous>. Apr 2024 ».
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