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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
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Counterexample Definition & Meaning - Merriam-Webster
WEBThe meaning of COUNTEREXAMPLE is an example that refutes or disproves a proposition or theory.
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 …
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 counterexample in …
COUNTEREXAMPLE Definition & Meaning | Dictionary.com
WEBCounterexample definition: an example that refutes an assertion or claim.. See examples of COUNTEREXAMPLE used in a sentence.
Counterexample Definition (Illustrated Mathematics …
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: Definitions and Examples - Club Z! Tutoring
WEBA counterexample is a specific example or instance that disproves a general statement or hypothesis. More formally, a counterexample is an example that demonstrates the …
Counterexample -- from Wolfram MathWorld
WEBAug 22, 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, …
How to Master the World of Conjectures and Counterexamples
WEBOct 22, 2023 · A counterexample is a specific case or instance that disproves a conjecture or statement. If even one counterexample exists, it means the conjecture is …
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 - Varsity Tutors
WEBA counterexample is an example that shows everyone that a general statement is false. You've probably given plenty of counterexamples in your life. For example, someone …
COUNTEREXAMPLE definition and meaning | Collins English …
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. …
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 …
Counterexample - Cuemath
WEBCounterexample Definition. A counterexample is an example that meets the mathematical statement's condition but does not lead to the statement's …
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Counterexample Definition & Meaning - YourDictionary
WEBAn 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 …
6.7: Proof by counterexample - Mathematics LibreTexts
WEBDefinition: Counterexample. relative to the logical implication \(P \Rightarrow Q\text{,}\) a statement \(C\) such that \(P \land C \rightarrow Q\) is false
Counterexample - Definition, Meaning & Synonyms
WEBnoun. refutation by example. see more. Cite this entry. Style: MLA. "Counterexample." Vocabulary.com Dictionary, Vocabulary.com, …
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 - Wiktionary, the free dictionary
WEBAug 19, 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 …
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. …
Counterexamples - Math For Love
WEBNov 12, 2015 · Counterexamples is a fun, quick way to highlight how to disprove conjectures by finding a counterexample. The leader (usually the teacher, though it can be a …
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