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  1. Counterexample - Wikipedia

    • In philosophy, counterexamples are usually used to argue that a certain philosophical position is wrong by showing that it does not apply in certain cases. Alternatively, the first philosopher can modify their claim so that the counterexample no longer applies; this is analogous to when a mathematician modifies a conjecture because of a counterexam… See more

    Overview

    A counterexample is any exception to a generalization. In logic a counterexample disproves the … See more

    In mathematics

    In mathematics, counterexamples are often used to prove the boundaries of possible theorems. By using counterexamples to show that certain conjectures are false, mathematical researchers can then avoid going dow… See more

    Further reading

    • Imre Lakatos, Proofs and Refutations (1976) Cambridge University Press ISBN 0521290384
    • James Franklin and Albert Daoud (2011) Proof in Mathematics: An Introduction, Kew, Sydney ISBN 978-0-646-54509-7, … See more

     
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  2. A counterexample is a specific example that contradicts a general statement or hypothesis. This is used to disprove statements in logic, rational thought and debate. As such, counterexamples are stronger than nonexamples that are more often used to illustrate a concept.
    simplicable.com/en/counterexample
    simplicable.com/en/counterexample
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  5. 2.6: Conjectures and Counterexamples - K12 LibreTexts

  6. 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...

  7. Counter-Examples | Brilliant Math & Science Wiki

  8. What is a Counterexample? (and why philosophers …

    WEBAug 17, 2020 — This is a short lecture video explaining one of the most common and most powerful philosophical tools: the counterexample.

  9. Counterexamples - Math For Love

    WEBNov 12, 2015 — How it works. 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 student) makes a false …

  10. Counter Examples | Brilliant Math & Science Wiki

  11. Counter Example - Varsity Tutors

  12. Conjectures and Counterexamples 1 - Math For Love

  13. Counterexample: Definitions and Examples - Club Z! Tutoring

  14. How to Prove an Argument Invalid by a Counterexample

  15. Counterexample - Cuemath

  16. Counterexamples (Intro to Logic) - YouTube

  17. Counter Examples - California State University, Fresno

  18. Disproving implications with Counterexamples - YouTube

  19. Khan Academy

  20. How to come up with a counter example in linear algebra

  21. 48 Examples of Counterarguments - Simplicable

  22. Advice on finding counterexamples - Mathematics Stack Exchange

  23. big list - Conjectures that have been disproved with extremely …

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