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- Method of proof in mathematicsLearn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method for creating the object.en.wikipedia.org/wiki/Constructive_proofIn 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.simple.wikipedia.org/wiki/Constructive_proof
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Constructive proof - Wikipedia
In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method for creating the object. This is in contrast to a non-constructive proof (also known as an existence proof or pure existence theorem), which proves the … See more
Non-constructive proofs
First consider the theorem that there are an infinitude of prime numbers. Euclid's proof is constructive. But a common way of simplifying Euclid's proof postulates that, contrary to the … See more• Constructivism (philosophy of mathematics)
• Errett Bishop - author of the book "Foundations of Constructive Analysis".
• Existence theorem § 'Pure' existence results See moreIn constructive mathematics, a statement may be disproved by giving a counterexample, as in classical mathematics. However, it is also possible to give a Brouwerian counterexample to show that the statement is non-constructive. This … See more
• J. Franklin and A. Daoud (2011) Proof in Mathematics: An Introduction. Kew Books, ISBN 0-646-54509-4, ch. 4
• See more• Weak counterexamples by Mark van Atten, Stanford Encyclopedia of Philosophy See more
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An easy example of a non-constructive proof without an obvious …
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