# Proofs and refutations the logic of mathematical discovery pdf

## Using Proofs and Refutations to Learn from Experience | SpringerLink

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## Proofs and Refutations: The Logic of Mathematical Discovery By Imre Lakatos

Proofs and Refutations is a book by philosopher Imre Lakatos expounding his view of the progress of mathematics. The book is written as a series of Socratic dialogues involving a group of students who debate the proof of the Euler characteristic defined for the polyhedron. A central theme is that definitions are not carved in stone, but often have to be patched up in the light of later insights, in particular failed proofs. This gives mathematics a somewhat experimental flavour. At the end of the Introduction, Lakatos explains that his purpose is to challenge formalism in mathematics , and to show that informal mathematics grows by a logic of "proofs and refutations".

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## 5 thoughts on “Examining the method of proofs and refutations in pre-service teachers education”

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The full dialogue is available as a book called “Proofs and Refutations” .. Editor and Euler use for this process of discovery the modern term ' induction ' instead .. modem mathematical logic and set-theory was a direct continuation of this.

Examining the method of proofs and refutations in pre-service teachers education.

Lakatos's philosophy of mathematics | SpringerLink

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