David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Foundations of Science 14 (1-2):27-43 (2009)
The specific characteristics of mathematical argumentation all depend on the centrality that writing has in the practice of mathematics, but blindness to this fact is near universal. What follows concerns just one of those characteristics, justification by proof. There is a prevalent view that long proofs pose a problem for the thesis that mathematical knowledge is justified by proof. I argue that there is no such problem: in fact, virtually all the justifications of mathematical knowledge are ‘long proofs’, but because these real justifications are distributed in the written archive of mathematics, proofs remain surveyable, hence good.
|Keywords||mathematical proof surveyability|
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References found in this work BETA
Jody Azzouni (1994). Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences. Cambridge University Press.
O. Bradley Bassler (2006). The Surveyability of Mathematical Proof: A Historical Perspective. Synthese 148 (1):99 - 133.
Philip Kitcher (1983). The Nature of Mathematical Knowledge. Oxford University Press.
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