Why the Naïve Derivation Recipe Model Cannot Explain How Mathematicians’ Proofs Secure Mathematical Knowledge

Philosophia Mathematica 24 (3):401-404 (2016)
Brendan Larvor
University of Hertfordshire
The view that a mathematical proof is a sketch of or recipe for a formal derivation requires the proof to function as an argument that there is a suitable derivation. This is a mathematical conclusion, and to avoid a regress we require some other account of how the proof can establish it.
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DOI 10.1093/philmat/nkw012
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References found in this work BETA

Why Do We Prove Theorems?Y. Rav - 1999 - Philosophia Mathematica 7 (1):5-41.
The Derivation-Indicator View of Mathematical Practice.Jody Azzouni - 2004 - Philosophia Mathematica 12 (2):81-106.
Proofs and Refutations.Imre Lakatos - 1980 - Noûs 14 (3):474-478.
Pasch’s Philosophy of Mathematics.Dirk Schlimm - 2010 - Review of Symbolic Logic 3 (1):93-118.

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