Computing with Mathematical Arguments

Chapter

Abstract

Thanks to developments in the last few decades in mathematical logic and computer science, it has now become possible to formalize non-trivial mathematical proofs in essentially complete detail. we discuss the philosophical problems and prospects for such formalization enterprises. We show how some perennial philosophical topics and problems in epistemology, philosophy of science, and philosophy of mathematics can be seen in the practice of formalizing mathematical proofs.

Keywords

Epistemic justification mathematics formal proof inferentialism philosophy of mathematics 

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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Center for Artificial IntelligenceNew University of LisbonCaparicaPortugal
  2. 2.Center for Artificial Intelligence and Departamento de Matemática-FCTNew University of LisbonCaparicaPortugal

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