method of proof that demonstrates the existence of a mathematical object by creating or providing a method for creating the object From Wikipedia, the free encyclopedia

In mathematics, a **constructive proof** is a method of proof that shows the existence of a mathematical object—by giving a method on how to create the object. The other type of proof is called non-constructive proof, or existence proof: It shows that an object must exist, but does not give a way how to construct it.^{[1]}^{[2]}^{[3]}

A non-constructive proof is rejected by the so-called constructivists, who choose to interpret existence in a stricter way.^{[1]}

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