Lecture Notes in Artificial Intelligence 4108:208--221 (2006)
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Much work in MKM depends on the application of formal logic to mathematics. However, much mathematical knowledge is informal. Luckily, formal logic only represents one tradition in logic, specifically the modeling of inference in terms of logical form. Many inferences cannot be captured in this manner. The study of such inferences is still within the domain of logic, and is sometimes called informal logic. This paper explores some of the benefits informal logic may have for the management of informal mathematical knowledge.
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References found in this work BETA
An Introduction to Reasoning.Stephen Toulmin, Richard D. Rieke & Allan Janik - 1979 - New York and London: Macmillan.
Proofs and Refutations. The Logic of Mathematical Discovery.I. Lakatos - 1977 - Tijdschrift Voor Filosofie 39 (4):715-715.
Proofs and Refutations: The Logic of Mathematical Discovery.I. Lakatos, John Worrall & Elie Zahar - 1977 - British Journal for the Philosophy of Science 28 (1):81-82.
The Informal Logic of Mathematical Proof.Andrew Aberdein - 2006 - In Reuben Hersh (ed.), 18 Unconventional Essays About the Nature of Mathematics. Springer Verlag. pp. 56-70.
View all 6 references / Add more references
Citations of this work BETA
Five Theories of Reasoning: Interconnections and Applications to Mathematics.Alison Pease & Andrew Aberdein - 2011 - Logic and Logical Philosophy 20 (1-2):7-57.
The "Artificial Mathematician" Objection: Exploring the (Im)Possibility of Automating Mathematical Understanding.Sven Delarivière & Bart Van Kerkhove - 2017 - In B. Sriraman (ed.), Humanizing Mathematics and its Philosophy. Cham: Birkhäuser. pp. 173-198.
Mathematical Arguments in Context.Jean Paul Van Bendegem & Bart Van Kerkhove - 2009 - Foundations of Science 14 (1-2):45-57.
Bridging the Gap Between Argumentation Theory and the Philosophy of Mathematics.Alison Pease, Alan Smaill, Simon Colton & John Lee - 2009 - Foundations of Science 14 (1-2):111-135.
View all 8 citations / Add more citations
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