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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.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.www.storyofmathematics.com/counterexample/counterexample / (ˈkaʊntərɪɡˌzɑːmpəl) / noun an example or fact that is inconsistent with a hypothesis and may be used in argument against itwww.dictionary.com/browse/counterexampleShowing that a mathematical statement is true requires a formal proof. However, showing that a mathematical statement is false only requires finding one example where the statement isn't true. Such an example is called a counterexample because it's an example that counters, or goes against, the statement's conclusion.www.khanacademy.org/test-prep/praxis-math/praxi…
WebThe meaning of COUNTEREXAMPLE is an example that refutes or disproves a proposition or theory.
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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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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 …
WebWhat is a counterexample? A mathematical statement is a sentence that is either true or false. Examples. True statement: All even numbers are divisible by 2 . False …
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 …
Web6 days ago · counterexample. Other forms: counterexamples. Definitions of counterexample. noun. refutation by example. see more.
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 …
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.
WebCheck pronunciation: counterexample. Definition of counterexample noun in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, …
Counterexample Definition & Meaning | YourDictionary
Webnoun. An example that refutes or disproves a hypothesis, proposition, or theorem. American Heritage. An example used to support an argument or claim that is in …
Counterexample -- from Wolfram MathWorld
Web4 days ago · 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 F (b) is false, …
Counterexample in Mathematics | Definition, Proofs & Examples
WebNov 21, 2023 · A 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: Definitions and Examples - Club Z! Tutoring
WebA counterexample is a specific example that disproves a general statement. It is a powerful tool in mathematics and other fields where statements are made about general …
counterexample - Wiktionary, the free dictionary
WebJan 29, 2024 · ( 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 …
6.7: Proof by counterexample - Mathematics LibreTexts
WebDefinition: Counterexample. Example 6.7.1 6.7. 1. Sometimes we want to prove that P ⇏ Q; P ⇏ Q; i.e. that P → Q P → Q is not a tautology. Recall. The equivalence. P → Q ⇔ …
Counter-examples - FutureLearn
WebHere’s a counter-example to this argument: Suppose that everybody loves all winners and that I am not a winner (so both premises are true.) Still, the conclusion can be false if one …
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”. …
Counter-example - definition of Counter-example by The Free …
Weban example or fact that is inconsistent with a hypothesis and may be used in argument against it. Collins English Dictionary – Complete and Unabridged, 12th …
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) over …
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