Rigour in Proof

  • Michèle Friend
Chapter
Part of the Logic, Epistemology, and the Unity of Science book series (LEUS, volume 32)

Abstract

Rigour in proof is of utmost importance for the pluralist, since he has no solid ontology to ground his theory, and his conception of ‘truth’ is also relative (to a theory). In the first section we look at the pluralist’s motivation for rigour. In the second section, we develop a characterisation of rigorous proof. There are several characterisations varying over the account of meaning we attach to mathematical claims and axioms. In the third section, we evaluate the characterisation with reference to our motivation. Lastly, we draw some general conclusions for the pluralist. With the analysis we discover that rigour is a regulative ideal, sensitive to philosophical inclinations.

Keywords

Formal System Rigorous Proof Regulatory Ideal Large Cardinal Logical Pluralism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Michèle Friend
    • 1
  1. 1.The George Washington UniversityWashington, DCUSA

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