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- A counterexample is a situation which shows that a proposed general rule or law is not always true12. A counterexample can be used to disprove a universal statement or an argument by showing that it can have true premises and a false conclusion12. A counterexample is a way of demonstrating the invalidity of a deductive argument2.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.
In logic (especially in its applications to mathematics and philosophy ), a counterexample is an exception to a proposed general rule or law, and often appears as an example which disproves a universal statement.
en.wikipedia.org/wiki/CounterexampleDefinition: A counter-example to an argument is a situation which shows that the argument can have true premises and a false conclusion. If the argument being evaluated is deductive, then we can show it to be invalid and, therefore, bad if we can describe a counter-example.
www.futurelearn.com/info/courses/logical-and-critic… Counterexample Definition & Meaning - Merriam-Webster
WEBMay 7, 2024 · The 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 Definition & Meaning | Dictionary.com
WEBCounterexample definition: an example that refutes an assertion or claim.. See examples of COUNTEREXAMPLE used in a sentence.
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 (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 noun - Definition, pictures, pronunciation and …
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 …
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. Identifying …
Counterexample - Definition, Meaning & Synonyms
WEBMay 5, 2024 · counterexample. Other forms: counterexamples. Definitions of counterexample. noun. refutation by example. see more.
COUNTEREXAMPLE definition and meaning | Collins English …
WEBMay 7, 2024 · an example or fact that is inconsistent with a hypothesis and may be used in argument against it. Collins English Dictionary. Copyright © HarperCollins …
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 …
Counterexample -- from Wolfram MathWorld
WEB3 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 Definition & Usage Examples | Dictionary.com
WEBCounterexample definition: . See examples of COUNTEREXAMPLE used in a sentence.
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 …
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 - 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 ⇔ …
COUNTEREXAMPLE definition in American English | Collins …
WEBMay 4, 2024 · noun. an example or fact that is inconsistent with a hypothesis and may be used in argument against it. Collins English Dictionary. Copyright © HarperCollins …
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 …
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 …
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 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 …
Counter Definition & Meaning - Merriam-Webster
WEBMay 9, 2014 · 1. : 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 …
WEB1 day ago · In Section 4, we define the pair (J χ,ρ χ) for a genuine character χof T(O F) following [Roc98]. We describe the structure of H(G,ρ χ) in Theorem4.6and Theorem4.8, …
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