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counterexample::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | disproof, falsification, refutation |
Examples of counterexample
counterexample
In mathematics, a counterexample is something that refutes a proposed conjecture.
From the scienceblogs.com
Sometimes a contrasting example, such as a counterexample, can also be helpful.
From the en.wikipedia.org
Thanks to the American counterexample, they are being realised very, very visibly.
From the economist.com
Clinton and Cohen's remarks are in no way a counterexample to Shelton's quote.
From the en.wikipedia.org
Max Black has argued against the identity of indiscernibles by counterexample.
From the en.wikipedia.org
Critics of scientism will often point to history as some devastating counterexample.
From the scienceblogs.com
There is a sense in which a counterexample might lead you to rethink your definitions.
From the scienceblogs.com
Theodore Roosevelt is the only clear counterexample, and Bill is no Teddy.
From the washingtonpost.com
This counterexample query and multiple others were mentioned by Ionut Alex.
From the mattcutts.com
- Refutation by example
- 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". ...
- An exception to a proposed general rule; a specific instance of the falsity of a universally quantified statement
- A situation in a conditional for which the antecedent is true, but the conditional is false; aka contradiction
- A particular instance that demonstrates the falsity of a general claim. Thus, for example, the fact that Don DeLillo is clean-shaven is a counter-example to the claim that all great American novelists have beards.
- An example which undermines or refutes the principle or theory against which it is advanced.
- A way of showing that an ARGUMENT is not VALID. A counter-example shows that the PREMISES can be true while the CONCLUSION is false.
- A specific example used to disprove something. For example if someone were to say "when you multiply two numbers the answer is always even", a counterexample for this would be 1x3=3 since it shows that two numbers can be multiplied can have an odd answer. ...
- An example which falsifies a particular hypothesis. For example, an auxiliary like ought would be a counterexample to any claim that auxiliaries in English never take an infinitive complement introduced by to (cf. 'You ought to tell them'').
