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- A counterexample is an exception to a proposed general rule or law12345. It is a specific instance for which a given statement is false35. In formal logic, a statement is “false” if it is not true in every single circumstance3. Even if it is usually true or sometimes true, it is false. For this reason, finding even one case where the statement is false makes it false3.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.
In logic (especially in its applications to mathematics and philosophy ), a counterexample is an exception to a proposed general rule or law, and often appears as an example which disproves a universal statement.
en.wikipedia.org/wiki/Counterexamplecounterexample noun coun·ter·ex·am·ple ˈkau̇n-tər-ig-ˌzam-pəl : an example that refutes or disproves a proposition or theorywww.merriam-webster.com/dictionary/counterexam…A counterexample is a specific instance for which a given statement is false. In formal logic, a statement is “false” if it is not true in every single circumstance. Even if it is usually true or sometimes true, it is false. For this reason, finding even one case where the statement is false makes it false.www.storyofmathematics.com/counterexample/counterexample [ koun-ter-ig-zam-p uhl, -zahm- ] show ipa noun an example that refutes an assertion or claim.www.dictionary.com/browse/counterexampleAn example that disproves a statement (shows that it is false). Example: the statement "all dogs are hairy" can be proved false by finding just one hairless dog (the counterexample) like below.
www.mathsisfun.com/definitions/counterexample.ht… WEBThe meaning of COUNTEREXAMPLE is an example that refutes or disproves a proposition or theory.
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WEBA counterexample is any exception to a generalization. In logic a counterexample disproves the generalization, and does so rigorously in the fields of mathematics and philosophy.
WEBCounterexample definition: an example that refutes an assertion or claim.. See examples of COUNTEREXAMPLE used in a sentence.
WEBA counterexample is a specific instance for which a given statement is false. In formal logic, a statement is “false” if it is not true in every single circumstance. Even if it is …
WEBCheck pronunciation: counterexample. Definition of counterexample noun in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, …
WEBA counterexample to a mathematical statement is an example that satisfies the statement's condition(s) but does not lead to the statement's conclusion. Identifying …
WEBCounterexample. An example that disproves a statement (shows that it is false). Example: the statement "all dogs are hairy" can be proved false by finding just one …
WEBcounterexample. Other forms: counterexamples. Definitions of counterexample. noun. refutation by example. see more.
WEBCounterexample Definition. An example that refutes or disproves a hypothesis, proposition, or theorem. An example used to support an argument or claim that is in …
WEBan example or fact that is inconsistent with a hypothesis and may be used in argument against it. Collins English Dictionary. Copyright © HarperCollins Publishers. …
COUNTEREXAMPLE definition in American English | Collins …
WEBnoun. an example or fact that is inconsistent with a hypothesis and may be used in argument against it. Collins English Dictionary. Copyright © HarperCollins Publishers. …
COUNTEREXAMPLE Definition & Usage Examples | Dictionary.com
WEBCounterexample definition: . See examples of COUNTEREXAMPLE used in a sentence.
Counterexample - Cuemath
WEBA counterexample is an example that meets the mathematical statement's condition but does not lead to the statement's conclusion. Counterexample Math. Instead of …
Counterexample in Mathematics | Definition, Proofs & Examples
WEBA counter example is an example that refutes or disproves a proposition or theory. A counterexample can be something very simple in real life. There are many …
counterexample - Wiktionary, the free dictionary
WEB( logic) An example that counters a general rule; an exception to a general rule; a specific instance of the falsity of (and falsifiability of) any proposed universal …
Counterexample - definition of counterexample by The Free …
WEBCounterexample - definition of counterexample by The Free Dictionary. counterexample. Also found in: Thesaurus, Wikipedia . coun·ter·ex·am·ple. (koun′tər-ĭg-zăm′pəl) n. An …
6.7: Proof by counterexample - Mathematics LibreTexts
WEBDefinition: Counterexample. Example \ (\PageIndex {1}\) Sometimes we want to prove that \ (P \not\Rightarrow Q\text {;}\) i.e. that \ (P \rightarrow Q\) is not a tautology. Recall. The …
Counter-examples - FutureLearn
WEBDefinition: A counter-example to an argument is a situation which shows that the argument can have true premises and a false conclusion. ... If finding a counter-example to an …
counter-example noun - Oxford English Dictionary
WEBFactsheet. What does the noun counter-example mean? There is one meaning in OED's entry for the noun counter-example. See ‘Meaning & use’ for definition, usage, and …
Counter Definition & Meaning - Merriam-Webster
WEB1. : a piece (as of metal or plastic) used in reckoning or in games. 2. : something of value in bargaining : asset. 3. : a level surface (such as a table, shelf or display case) …
counter verb - Definition, pictures, pronunciation and usage notes ...
WEB[transitive, intransitive] to reply to somebody by trying to prove that what they said is not true. counter somebody/something Such arguments are not easily countered. counter …
Counter Definition & Meaning | YourDictionary
WEBCounter Definition. kountər. countered, countering, counters. Meanings. Synonyms. Sentences. Definition Source. Word Forms. Origin. Adjective. Noun. Verb. Idiom. Filter. …
WEBPreface This document grew from lecture notes following the seventh edition of Discrete Mathematics and its Applications by Rosen [5]. I used various
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