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Meaning of "Russell's paradox" in the English dictionary

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PRONUNCIATION OF RUSSELL'S PARADOX

Russell's paradox play
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GRAMMATICAL CATEGORY OF RUSSELL'S PARADOX

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Russell's paradox is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES RUSSELL'S PARADOX MEAN IN ENGLISH?

Russell's paradox

Russell's paradox

In the foundations of mathematics, Russell's paradox, discovered by Bertrand Russell in 1901, showed that the naive set theory created by Georg Cantor leads to a contradiction. The same paradox had been discovered a year before by Ernst Zermelo but he did not publish the idea, which remained known only to Hilbert, Husserl and other members of the University of Göttingen. According to naive set theory, any definable collection is a set. Let R be the set of all sets that are not members of themselves. If R is not a member of itself, then its definition dictates that it must contain itself, and if it contains itself, then it contradicts its own definition as the set of all sets that are not members of themselves. This contradiction is Russell's paradox. Symbolically: In 1908, two ways of avoiding the paradox were proposed, Russell's type theory and the Zermelo set theory, the first constructed axiomatic set theory. Zermelo's axioms went well beyond Frege's axioms of extensionality and unlimited set abstraction, and evolved into the now-canonical Zermelo–Fraenkel set theory.

Definition of Russell's paradox in the English dictionary

The definition of Russell's paradox in the dictionary is the paradox discovered by Bertrand Russell in the work of Gottlob Frege, that the class of all classes that are not members of themselves is a member of itself only if it is not, and is not only if it is. This undermines the notion of an all-inclusive universal class.

WORDS THAT BEGIN LIKE RUSSELL'S PARADOX

Russ
Russ.
Russborough House
russel
Russell
russet
russetting
russety
Russia
Russia leather
Russian
Russian doll
Russian dressing
Russian Empire
Russian Federation
Russian Orthodox
Russian Orthodox Church
Russian Revolution
Russian roulette
Russian salad

WORDS THAT END LIKE RUSSELL'S PARADOX

Cantor´s paradox
Electra paradox
French paradox
heterodox
liar paradox
neo-orthodox
nonorthodox
orthodox
paradox
redox
Russian Orthodox
twin paradox
ultraorthodox
unorthodox

Synonyms and antonyms of Russell's paradox in the English dictionary of synonyms

SYNONYMS

Translation of «Russell's paradox» into 25 languages

TRANSLATOR
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TRANSLATION OF RUSSELL'S PARADOX

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

Translator English - Chinese

罗素悖论
1,325 millions of speakers

Translator English - Spanish

La paradoja de Russell
570 millions of speakers

English

Russell´s paradox
510 millions of speakers

Translator English - Hindi

रसेल के विरोधाभास
380 millions of speakers
ar

Translator English - Arabic

مفارقة رسل
280 millions of speakers

Translator English - Russian

Парадокс Рассела
278 millions of speakers

Translator English - Portuguese

Paradoxo de Russell
270 millions of speakers

Translator English - Bengali

রাসেলের বিরোধিতা
260 millions of speakers

Translator English - French

Le paradoxe de Russell
220 millions of speakers

Translator English - Malay

Paradoks Russell
190 millions of speakers

Translator English - German

Russells Paradox
180 millions of speakers

Translator English - Japanese

ラッセルの逆理
130 millions of speakers

Translator English - Korean

러셀의 역설
85 millions of speakers

Translator English - Javanese

Paradoks Russell
85 millions of speakers
vi

Translator English - Vietnamese

Nghịch lý Russell
80 millions of speakers

Translator English - Tamil

ரசலின் முரண்பாடு
75 millions of speakers

Translator English - Marathi

रसेलचा विरोधाभास
75 millions of speakers

Translator English - Turkish

Russell´ın paradoksu
70 millions of speakers

Translator English - Italian

Paradosso di Russell
65 millions of speakers

Translator English - Polish

Paradoks Russella
50 millions of speakers

Translator English - Ukrainian

Парадокс Рассела
40 millions of speakers

Translator English - Romanian

Paradox Russell
30 millions of speakers
el

Translator English - Greek

Το παράδοξο του Russell
15 millions of speakers
af

Translator English - Afrikaans

Russell se paradoks
14 millions of speakers
sv

Translator English - Swedish

Russells paradox
10 millions of speakers
no

Translator English - Norwegian

Russells paradoks
5 millions of speakers

Trends of use of Russell's paradox

TRENDS

TENDENCIES OF USE OF THE TERM «RUSSELL'S PARADOX»

The term «Russell's paradox» is normally little used and occupies the 146.609 position in our list of most widely used terms in the English dictionary.
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100%
FREQUENCY
Little used
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/100
The map shown above gives the frequency of use of the term «Russell's paradox» in the different countries.
Principal search tendencies and common uses of Russell's paradox
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Russell's paradox».

FREQUENCY OF USE OF THE TERM «RUSSELL'S PARADOX» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «Russell's paradox» during the past 500 years. Its implementation is based on analysing how often the term «Russell's paradox» 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 Russell's paradox

EXAMPLES

10 ENGLISH BOOKS RELATING TO «RUSSELL'S PARADOX»

Discover the use of Russell's paradox in the following bibliographical selection. Books relating to Russell's paradox and brief extracts from same to provide context of its use in English literature.
1
One Hundred Years of Russell's Paradox: Mathematics, Logic, ...
The 31 contributions and the introductory essay by the editor were (with two exceptions) all originally written for the volume. The volume serves a twofold purpose, historical and systematic.
Godehard Link, 2004
2
Rereading Russell [electronic resource]: essays in Bertrand ...
Russell's Paradox, Russellian Relations, and the Problems of Predication and Impredicativity Russell's paradox and the resultant distinction of logical types have been central topics of philosophical discussion for almost a century. In this essay ...
C. Wade Savage, C. Anthony Anderson, 1989
3
Paradoxes
The expanded and revised third edition of this intriguing book considers a range of knotty paradoxes including Zeno's paradoxical claim that the runner can never overtake the tortoise, a new chapter on paradoxes about morals, paradoxes ...
R. M. Sainsbury, 2009
4
Introduction to Mathematical Structures and Proofs
Bertrand Russell presented this disheartening news to the mathematical world in 1901, and Russell's paradox (the apparent set that is and is not a member of itself ) caused widespread fear that the foundations of mathematics were built in ...
Larry J. Gerstein, 1996
5
Metaphysics and Explanation
From Russell's point of view they are ungrammatical or wrongly formed sentences, just as 'Runs is or' is, although less obviously so. But we can just as well look at Russell's paradox from the point of view of other set theories, in which the ...
W. H. Capitan, D. D. Merrill, 1966
6
Historical Dictionary of Bertrand Russell's Philosophy
This paradox, also known as the GrellingNelson paradox after the mathematicians and philosophers Kurt Grelling and Leonard Nelson, is a semantic contradiction, despite bearing a strong resemblance to Russell's paradox, which is a logical ...
Rosalind Carey, John Ongley, 2009
7
The Cosmic Sphere
The paradox is called Russell's paradox after Bertrand Russell, the philosopher who discovered it in 19016. To get an understanding of the paradox, imagine a set of things. For instance, imagine a set having rats as its members. The set of rats ...
Kip K. Sewell, 1999
8
Wittgenstein's Thought in Transition
The problematic syntax combinations known as the Liar paradox and Russell paradox that Russell tries to avoid by type theory cannot occur in a correct logical symbolism.4 Wittgenstein explains how Russell's paradox disappears under the  ...
Dale Jacquette, 1998
9
A Brief History of Computing
However, set theory as developed by Cantor and formalized by Frege was dealt a major blow by Russell's paradox. Russell's paradox was discovered by Bertand Russell in 1901 and he communicated the paradox to Frege in 1902. Russell ...
Gerard O'Regan, 2008
10
Logic, Meaning and Computation: Essays in Memory of Alonzo ...
The Tarski paradox of the undefinability of truth is proved by a diagonalization argument similar to the argument of Russell's paradox. In ZFC, Russell's argument shows that the universal class (and large classes generally) do not exist. In other ...
Alonzo Church, C. Anthony Anderson, Michael Zelëny, 2001

10 NEWS ITEMS WHICH INCLUDE THE TERM «RUSSELL'S PARADOX»

Find out what the national and international press are talking about and how the term Russell's paradox is used in the context of the following news items.
1
How Math Can Defeat Bullies
... of a basketball; or Russell's paradox about the set of all sets that do not belong to themselves; or any number of counterintuitive results in probability theory. «Yahoo News, Jul 15»
2
Ghostly problems: Troubleshooting Photos smart albums, hard drive …
... any album, which sounded almost like Bertrand Russell's paradox, expressed sometimes as a book in a library of all books in a library: should it include itself? «Macworld, Jun 15»
3
A programmer's take on Russell's Paradox
If you are interested in this, Dijkstra analyzes this paradox in two articles, Where is Russell's paradox? and For brevity's sake. In the first he concludes that there ... «Pulse, Nov 14»
4
Maths From An Extra Terrestrial Civilization - What Could It Be Like …
The most famous one, Russell's paradox (more about this later in this page). .... They still would have some set theory paradoxes such as Russell's paradox ... «Science 2.0, Jun 14»
5
The Barber Paradox and Kosher Certification
There is a classic logic problem known as the Barber paradox (itself a variant of Russell's paradox): in a town where the barber shaves every man who doesn't ... «Wired, Feb 14»
6
Is a Judge of Knowledge Shipwrecked by the Laughter of the Gods?
Bertrand Russell (1872-1970) summarizes the problem with defining .... of the twentieth century, such as Russell's Paradox, led a few philosophers, such as ... «Philosophy Now, Jan 14»
7
Tom Perrotta: By the Book
My whole family read the book, and we made many hilarious efforts to explain Russell's paradox to one another — the one that asks the unanswerable question, ... «New York Times, Nov 13»
8
Russell's Paradox: Here's Why Math Can't Have A Set Of Everything
Around the turn of the century, analytic philosopher extraordinaire Bertrand Russell identified a serious problem with this idea, known as Russell's Paradox. «Business Insider, Nov 13»
9
Holy Crap: The Sacred Call of the Excluded
We can understand this idea via reference to "Russell's paradox" as captured in the famous problem of creating a catalogue of "all catalogues that don't list ... «Huffington Post, May 13»
10
Model Beach Volleyball Tournament: Models Are Real, Know …
See that awkwardness -- as well as sexy-people tricks such as backward running, reciting Russell's paradox, and jumping an imaginary rope in slow motion -- in ... «Miami New Times, Feb 13»

REFERENCE
« EDUCALINGO. Russell's paradox [online]. Available <https://educalingo.com/en/dic-en/russells-paradox>. Apr 2024 ».
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