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- Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.counterexample 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 any exception to a generalization. In logic a counterexample disproves the generalization, and does so rigorously in the fields of mathematics and philosophy.en.wikipedia.org/wiki/Counterexample
Counterexample Definition & Meaning - Merriam-Webster
WEBMay 7, 2024 · The meaning of COUNTEREXAMPLE is an example that refutes or disproves a proposition or theory.
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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 …
COUNTEREXAMPLE Definition & Meaning | Dictionary.com
WEBCounterexample definition: an example that refutes an assertion or claim.. See examples of COUNTEREXAMPLE used in a sentence.
counterexample noun - Definition, pictures, pronunciation and …
WEBDefinition of counterexample noun in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
Counterexample in Mathematics | Definition, Proofs
WEBNov 21, 2023 · A counterexample is an example that disproves a statement, proposition, or theorem by satisfying the conditions but contradicting the conclusion. How do you make a...
Counterexamples | Lesson (article) | Lessons | 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. …
COUNTEREXAMPLE definition and meaning | Collins English …
WEB3 days ago · counterexample in British English. (ˈkaʊntərɪɡˌzɑːmpəl ) noun. an example or fact that is inconsistent with a hypothesis and may be used in argument against it. …
Counterexample - Definition, Meaning & Synonyms
WEBcounterexample. Other forms: counterexamples. Definitions of counterexample. noun. refutation by example. see more.
Counterexample Definition & Meaning | YourDictionary
WEBNoun. Filter. noun. An example that refutes or disproves a hypothesis, proposition, or theorem. American Heritage. An example used to support an argument or claim that is …
Counterexample Definition (Illustrated Mathematics …
WEBDefinition of. Counterexample. 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 …
Counterexample - Cuemath
WEBLesson Plan. What is a Counterexample? Counterexample Definition. A counterexample is an example that meets the mathematical statement's condition but does not lead …
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 …
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., …
Counterexample -- from Wolfram MathWorld
WEB2 days ago · Subject classifications. A counterexample is a form of counter proof. Given a hypothesis stating that F (x) is true for all x in S, show that there exists a b in S such that …
Counterexample { Philosophy Index }
WEBCounterexample. In logic, a counterexample is a statement that defeats a universal claim by showing it to be false in some instance. Consider the claim “all swans are white”. …
6.7: Proof by counterexample - Mathematics LibreTexts
WEBDefinition: Counterexample. relative to the logical implication P ⇒ Q, P ⇒ Q, a statement C C such that P ∧ C → Q P ∧ C → Q is false. Example 6.7.1 6.7. 1. In Exercise 6.12.8, …
COUNTEREXAMPLE definition in American English | Collins …
WEB4 days ago · an example or fact that is inconsistent with a hypothesis and may be used in argument against it. Collins English Dictionary. Copyright © HarperCollins …
2.6: Method of Conterexample - Humanities LibreTexts
WEBA counterexample is a possible scenario in which the premises are true and the conclusion is false. So, it shows that it is possible for the argument to have all true …
Mathwords: Counterexample
WEBCounterexample. An example which disproves a proposition. For example, the prime number 2 is a counterexample to the statement "All prime numbers are odd." ---
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 …
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 …
What is counterexample? - whatdoesmean.net
WEBWhat Does counterexample Mean. The notion of counterexample refers to an example that is used to deny or refute what was tried to expose with another. A counterexample, …
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