How to think about informal proofs

Synthese 187 (2):715-730 (2012)

Authors
Brendan Larvor
University of Hertfordshire
Abstract
It is argued in this study that (i) progress in the philosophy of mathematical practice requires a general positive account of informal proof; (ii) the best candidate is to think of informal proofs as arguments that depend on their matter as well as their logical form; (iii) articulating the dependency of informal inferences on their content requires a redefinition of logic as the general study of inferential actions; (iv) it is a decisive advantage of this conception of logic that it accommodates the many mathematical proofs that include actions on objects other than propositions; (v) this conception of logic permits the articulation of project-sized tasks for the philosophy of mathematical practice, thereby supplying a partial characterisation of normal research in the field
Keywords Informal proof  Mathematical practice  Inferential action  Argumentation theory  Speech-act
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DOI 10.1007/s11229-011-0007-5
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References found in this work BETA

Argumentation Schemes.Douglas Walton, Chris Reed & Fabrizio Macagno - 2008 - Cambridge University Press.
Image and Logic: A Material Culture of Microphysics.Peter Galison (ed.) - 1997 - University of Chicago Press: Chicago.
How Experiments End.Peter Galison - 1990 - Journal of Philosophy 87 (2):103-106.
The Philosophy of Mathematical Practice.Paolo Mancosu - 2009 - Studia Logica 92 (1):137-141.

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Citations of this work BETA

An Inquiry Into the Practice of Proving in Low-Dimensional Topology.Silvia De Toffoli & Valeria Giardino - 2015 - In Gabriele Lolli, Giorgio Venturi & Marco Panza (eds.), From Logic to Practice. Zurich, Switzerland: Springer International Publishing. pp. 315-116.
Mathematical Inference and Logical Inference.Yacin Hamami - 2018 - Review of Symbolic Logic 11 (4):665-704.

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