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Counterexample Definition & Meaning - Merriam-Webster
WEBMay 15, 2024 · The meaning of COUNTEREXAMPLE is an example that refutes or disproves a proposition or theory.
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COUNTEREXAMPLE Definition & Meaning | Dictionary.com
WEBCounterexample definition: an example that refutes an assertion or claim.. See examples of COUNTEREXAMPLE used in a sentence.
Counterexample - Wikipedia
A 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. For example, the fact that "student John Smith is not lazy" is a counterexample to the generalization "students are lazy", and both a counterexample to, and disproof of, the universal quantification "all students are lazy."
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Counterexample – Explanation and Examples - The Story of …
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 usually true or sometimes true, it is false.
counterexample noun - Definition, pictures, pronunciation and …
WEBcounterexample (to something) an example that provides evidence against an idea or theory. Stark offers an interesting counterexample to Logan's argument. Topics Opinion and argument c2
COUNTEREXAMPLE definition and meaning | Collins English …
WEB3 days ago · noun. an example or fact that is inconsistent with a hypothesis and may be used in argument against it. Collins English Dictionary. Copyright © HarperCollins Publishers. Word Frequency. counterexample in American English. (ˈkaʊntərɛgˌzæmpəl ) noun. an example used to support an argument or claim that is in opposition to another …
Counterexamples | Lesson (article) | Khan Academy
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 counterexamples is a way to show that a mathematical statement is false.
Counterexample - Definition, Meaning & Synonyms
WEBcounterexample. Other forms: counterexamples. Definitions of counterexample. noun. refutation by example. see more.
Counterexample - definition of counterexample by ... - The Free …
WEBDefine counterexample. counterexample synonyms, counterexample pronunciation, counterexample translation, English dictionary definition of counterexample. n. An example that refutes or disproves a hypothesis, proposition, or theorem.
Counterexample Definition & Meaning | YourDictionary
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 opposition to another argument or claim. (logic) An exception to a proposed general rule; a specific instance of the falsity of a universally quantified statement.
Counterexample in Mathematics | Definition, Proofs
WEBNov 21, 2023 · A counterexample is a special kind of example that disproves a statement or proposition. Counterexamples are often used in math to prove the boundaries of possible theorems.
11 Examples of a Counterexample - Simplicable
WEBNov 14, 2023 · A counterexample is a specific example that contradicts a general statement or hypothesis. This is used to disprove statements in logic, rational thought and debate. As such, counterexamples are stronger than nonexamples that are more often used to illustrate a concept.
What is a Counterexample? (and why philosophers use fictional …
WEBAug 17, 2020 · Counterexamples are examples that are given to disprove a general claim. This video also explains how general claims centrally involving a concept--i.e., those claims about...
Counterexample Definition (Illustrated Mathematics Dictionary)
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 hairless dog (the counterexample) like below.
Counterexample - Cuemath
WEBCounterexample Definition. A counterexample is an example that meets the mathematical statement's condition but does not lead to the statement's conclusion. Counterexample Math. Instead of showing that the statement is true, we show that the statement is false using the counterexample.
counterexample - Wiktionary, the free dictionary
WEBJan 29, 2024 · counterexample (plural counterexamples) ( 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 applicability of a rule or statement.
COUNTEREXAMPLE definition in American English | Collins …
WEB6 days ago · noun. an example or fact that is inconsistent with a hypothesis and may be used in argument against it. Collins English Dictionary. Copyright © HarperCollins Publishers. Examples of 'counterexample' in a sentence. counterexample.
What does counterexample mean? - Definitions.net
WEBA counterexample is a specific instance or example that contradicts a general claim, principle, theorem, or proposition, proving it to be false or incorrect. It is often used as a method of disproving statements or theories in logic, mathematics, and various fields of …
counterexample: meaning, translation - WordSense
WEBWhat does counterexample mean? counterexample ( English) Origin & history. counter- + example. Noun. counterexample ( pl. counterexamples) ( logic) An exception to a proposed general rule; a specific instance of the falsity of a universally quantified statement. Translations. Examples. Automatically generated practical examples in English:
meaning - Usage of "counterexample" - English Language
WEBJun 1, 2020 · Formally, a counterexample is an example that disproves a logical claim. These are common in mathematics and philosophy. A universal claim is disproved by an existential counterexample.
counterexample - WordReference.com Dictionary of English
WEBcoun•ter•ex•am•ple (koun′ tər ig zam′pəl, -zäm′-), n. an example that refutes an assertion or claim. counter - + example 1955–60. Forum discussions with the word (s) "counterexample" in the title: No titles with the word (s) "counterexample". Visit the English Only Forum. Help WordReference: Ask in the forums yourself.
counter-example noun - Oxford English Dictionary
WEBWhat 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 quotation evidence.
What does counterexample mean - brainly.com
WEBA counterexample is a specific case or example that refutes a general assertion or proposition. In philosophical reasoning and critical thinking, counterexamples hold particular significance as they can demonstrate the invalidity of an argument.
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