[kouńtər-ĭg-zăḿpəl]
(n.)An example that refutes or disproves a hypothesis, proposition, or theorem.
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Counterexample - Wikipedia, the free encyclopedia
In logic, and especially in its applications to mathematics and philosophy, a counterexample is an exception to a proposed general rule. For example, consider the proposition "all students are lazy"...
en.wikipedia.org/wiki/Counterexample
Minimal counterexample - Wikipedia, the free encyclopedia
In mathematics, the method of considering a minimal counterexample (or minimal criminal ) combines the ideas of inductive proof and proof by contradiction. Abstractly, in trying to prove a pro...
en.wikipedia.org/wiki/Minimal_counterexample
An example which disproves a proposition. For example, the prime number 2 is a counterexample to the statement "All prime numbers are odd."
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For instance, to disprove that the statement ``For all $n$ $2^{2^n} + 1$ is prime.'', one could exhibit $5$ as a counterexample; since $2^{2^5} + ... This is version 2 of counterexample, born on 2004-10-09, modified 2005-02-28. Object id is 6338, canonical name is Counterexample. Accessed 7796 times total. Classification:
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A positive integer is said to be of even type if its factorization into primes has an even number of primes. Otherwise it is said to be of odd type. Examples: 4=2*2 is even type, 18=2*3*3 is odd type. (We say 1 has 0 primes and ... In 1962, Lehman found a counterexample: at n=906180359, it is the case that O(n)=E(n)-1.
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counterexample Definition from dictionary ... ; Look up "counterexample" at Merriam-Webster; Look up "counterexample" at dictionary.com; Forum discussions with the word(s) 'counterexample' in the title:;
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I am writing a book, entitled Proof and Counterexample (or PnC for short). It’s on logic viewed through the lens of proof theory. In particular, it covers natural deduction, sequent calculus, normalisation and cut-elimination.
consequently.org/edit/page/Proof_and_Counterexample consequently.org/edit/page/Proof_and_Counterexample
Hutchinson encyclopedia article about counterexample. counterexample. Information about counterexample in the Hutchinson encyclopedia. ... It serves as a useful counterexample here since it explores what happens when Pierre Delacroix, an African American television writer, ultimately fails at using the Sambo strategy to...
encyclopedia.farlex.com/counterexample encyclopedia.farlex.com/counterexample
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