Managing Informal Mathematical Knowledge: Techniques from Informal Logic

Lecture Notes in Artificial Intelligence 4108:208--221 (2006)
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Abstract

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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Andrew Aberdein
Florida Institute of Technology

References found in this work

Problems in Argument Analysis and Evaluation.Trudy Govier - 2018 - Windsor: University of Windsor.
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 Rise of Informal Logic: Essays on Argumentation, Critical Thinking, Reasoning, and Politics.Ralph Henry Johnson - 1996 - Newport, VA, USA: Vale Press. Edited by J. Anthony Blair, Trudy Govier, Leo Groarke, John Hoaglund & Christopher W. Tindale.

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