Illustrated definition of Counterexample: An example that disproves a statement (shows that it is false). Example: the statement all dogs are... |
A counterexample is any exception to a generalization. In logic a counterexample disproves the generalization, and does so rigorously in the fields of ... |
A counterexample to a mathematical statement is an example that satisfies the statement's condition(s) but does not lead to the statement's conclusion. |
A counterexample is an example that disproves a statement, proposition, or theorem by satisfying the conditions but contradicting the conclusion. Counterexample Definition · Proof by Counterexample |
A counterexample is a specific example that disproves a general statement. It is a powerful tool in mathematics and other fields where statements are made ... |
Some questions ask you to find a counter-example to a given statement. This means that you must find an example which renders the conclusion of the statement ... |
A counterexample is a form of proof. To prove that a statement of the form ∀ x P ( x ) is false, we need to find an element x such that P x is false. |
A counterexample is a single, specific example for which a given statement is untrue. This makes the given statement false. |
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