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- In logic, a counterexample disproves a generalization1. For example, the fact that "John Smith is not a lazy student" is a counterexample to the generalization “students are lazy”1. Here are some examples of counterexamples in logic2:
- All oranges are fruits and all oranges are citrus, so all citrus are fruits.
- No actors are politicians, so no politicians are insensitive, since no actors are insensitive.
- Some students are people who shower every day, because some students are people with jobs and some people with jobs shower every day.
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 a counterexample disproves the generalization, and does so rigorously in the fields of mathematics and philosophy. For example, the fact that "John Smith is not a lazy student" is a counterexample to the generalization “students are lazy”, and both are counterexample to, and disproof of, the generalization “all students are lazy.”
en.wikipedia.org/wiki/CounterexampleSolutions to Counter-example exercises
- 1. All oranges are fruits and all oranges are citrus, so all citrus are fruits. Form: ...
- 2. No actors are politicians, so no politicians are insensitive, since no actors are insensitive. Form: ...
logic.umwblogs.org/validity/validity-exercises/soluti… - People also ask
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. … See more
Writing a counterexample requires finding a specific case when a statement is wrong and showing how the case disproves the statement. When showing that a … See more
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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."
Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 7 mins
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WEBA counterexample to an argument is a substitution instance of its form where the premises are all true and the conclusion is false.
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WEBChapter 3. Logic, Counterexamples, and Translation. Roy T. Cook. Abstract In “Is Logic Empirical” (Putnam 1968), Putnam formulates an empirical argument against classical …
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