Paradox and Paraconsistency: Conflict Resolution in the Abstract Sciences

by John Woods

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In a world plagued by disagreement and conflict one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact these disciplines are rife with internal divisions between different, often incompatible, systems. Do these disagreements admit of resolution? Can such resolution be achieved without disturbing assumptions that the theorems of logic and mathematics state objective truths about the real world? In this original and historically rich book John Woods explores apparently intractable disagreements in logic and the foundations of mathematics and sets out conflict resolution strategies that evade or disarm these stalemates. An important sub-theme of the book is the extent to which pluralism in logic and the philosophy of mathematics undermines realist assumptions. This book makes an important contribution to such areas of philosophy as logic, philosophy of language and argumentation theory. It will also be of interest to mathematicians and computer scientists.
  • ISBN13 9780521810944
  • Publish Date 19 September 2002 (first published 1 January 2002)
  • Publish Status Active
  • Out of Print 7 May 2024
  • Publish Country GB
  • Imprint Cambridge University Press
  • Format Hardcover
  • Pages 382
  • Language English