Strategic Maneuvering in Mathematical Proofs

Erik C. W. Krabbe University of Groningen

Abstract

This paper explores applications of concepts from argumentation theory to mathematical proofs. Note is taken of the various contexts in which proofs occur and of the various objectives they may serve. Examples of strategic maneuvering are discussed when surveying, in proofs, the four stages of argumentation distinguished by pragma-dialectics. Derailments of strategies (fallacies) are seen to encompass more than logical fallacies and to occur both in alleged proofs that are completely out of bounds and in alleged proofs that are at least mathematical arguments. These considerations lead to a dialectical and rhetorical view of proofs.

Journal
Argumentation
Published
2008-08-01
DOI
10.1007/s10503-008-9098-7
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Citation Context

Cited by in this index (2)

  1. Argumentation
  2. Argumentation

Cites in this index (1)

  1. Argumentation
Also cites 6 works outside this index ↓
  1. Mathematical thought
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    Informal Logic: Reasoning and Argumentation in Theory and Practice  
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  5. Speech acts in argumentative discussions: A theoretical model for the analysis of discuss…
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