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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 …
WEBCounterexample definition: an example that refutes an assertion or claim.. See examples of COUNTEREXAMPLE used in a sentence.
WEB1 day 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. …
WEBcounterexample (to something) an example that provides evidence against an idea or theory. Stark offers an interesting counterexample to Logan's argument. Topics Opinion …
WEBcounterexample. Other forms: counterexamples. Definitions of counterexample. noun. refutation by example. see more.
WEBDefine counterexample. counterexample synonyms, counterexample pronunciation, counterexample translation, English dictionary definition of counterexample. n. An …
WEB22 hours 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 …
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 …
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.
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. …
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 - Cuemath
WEBCounterexample Definition. A counterexample is an example that meets the mathematical statement's condition but does not lead to the statement's …
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 …
counterexample - Wiktionary, the free dictionary
WEB6 days ago · 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 …
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 …
Advice on finding counterexamples - Mathematics Stack Exchange
WEBApr 1, 2015 · How far I've gotten: I know that a nonempty subset $H$ of a finite group $G$ is a subgroup if and only if $a,b\in H$ implies $ab\in H$. Using this we can know that If …
Counterexample -- from Wolfram MathWorld
WEBMay 30, 2024 · 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 { Philosophy Index }
WEBIn 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”. This claim can be …
2.6: Method of Conterexample - Humanities LibreTexts
WEBWe can use the method of counterexample to show that an argument is invalid. The method involves telling a consistent story in which all the premises of the argument are …
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 …
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." ---.
WEBof x, and show a counterexample in which both premises for the chosen syllogism is true, while the conclusion is not true. (c)Choose another among (9) to (14) that is invalid. …
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