Constructive proof
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]
Related pages
References
- ↑ 1.0 1.1 "The Definitive Glossary of Higher Mathematical Jargon: Constructive Proof". Math Vault. 2019-08-01. Retrieved 2020-09-23.
- ↑ "7.4: Constructive Versus Non-Constructive Proofs". Mathematics LibreTexts. 2019-10-18. Retrieved 2020-09-23.
- ↑ "Constructive Versus Existential Proofs". zimmer.csufresno.edu. Retrieved 2020-09-23.
