What is a Proof?

Axiomathes 25 (1):79-91 (2015)
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Abstract

In this programmatic paper we renew the well-known question “What is a proof?”. Starting from the challenge of the mathematical community by computer assisted theorem provers we discuss in the first part how the experiences from examinations of proofs can help to sharpen the question. In the second part we have a look to the new challenge given by “big proofs”.

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Reinhard Kahle
University Tübingen

Citations of this work

Direct Proofs of Lindenbaum Conditionals.René Gazzari - 2014 - Logica Universalis 8 (3-4):321-343.

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References found in this work

Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
Ideas and Results in Proof Theory.Dag Prawitz & J. E. Fenstad - 1971 - Journal of Symbolic Logic 40 (2):232-234.
Mathematical explanation.Mark Steiner - 1978 - Philosophical Studies 34 (2):135 - 151.
Mathematical Method and Proof.Jeremy Avigad - 2006 - Synthese 153 (1):105-159.

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