Non-Constructive Proof/Examples/Natural Number
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Example of Non-Constructive Proof
This is the shape of a proof which is non-constructive:
- Therefore there exists at least one number $n_0$ that has property $P$.
Unless an example of such a $n_0$ can be constructed, such an argument is not allowed in a constructive proof.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): constructive