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This is the first comprehensive account of the concept and practices of deduction that brings together perspectives from philosophy, history, psychology and cognitive science, and mathematics. It will be of interest to a range of readers, from advanced students to senior scholars, and from philosophers to mathematicians and cognitive scientists.
List of contents
Preface; Part I. The Philosophy of Deduction: 1. The trouble with deduction; 2. Back to the roots of deduction; 3. The Prover-Skeptic dialogues; 4. Deduction as a dialogical notion; Part II. The History of Deduction: 5. Deduction in mathematics and dialectic in Ancient Greece; 6. Aristotle's syllogistic, and other ancient logical traditions; 7. Logic and deduction in the Middle Ages and the modern period; Part III. Deduction and Cognition: 8. How we reason, individually and in groups; 9. The ontogeny of deductive reasoning; 10. The phylogeny of deductive reasoning; 11. A dialogical account of proofs in mathematical practice; Conclusions.
About the author
Catarina Dutilh Novaes is Professor of Philosophy and University Research Chair at VU Amsterdam, and Professorial Fellow at Arché (University of St Andrews). She is the author of Formalizing Medieval Logical Theories (2007) and Formal Languages in Logic (Cambridge, 2012), and is co-editor of The Cambridge Companion to Medieval Logic (with Stephen Read, Cambridge, 2016).
Summary
This is the first comprehensive account of the concept and practices of deduction that brings together perspectives from philosophy, history, psychology and cognitive science, and mathematics. It will be of interest to a range of readers, from advanced students to senior scholars, and from philosophers to mathematicians and cognitive scientists.
Additional text
'Reframing the philosophy of logic, this pathbreaking book develops a historically informed and philosophically powerful new conception of how the pragmatic foundations of logical deductive relations, and so the semantics of logical concepts, can be found in dialogic social practices that suitably balance cooperation and competition.' Bob Brandom, University of Pittsburgh
