The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History

ISBN-13: 9780521622790 / Angielski / Twarda / 1999 / 352 str.

Reviel Netz; Quentin Skinner; James Tully

Opis

This book provides a way to understand a momentous development in human intellectual history: the phenomenon of deductive argument in classical Greek mathematics. The argument rests on a close description of the practices of Greek mathematics, principally the use of lettered diagrams and the regulated, formulaic use of language.

Recenzje

' … very well written … almost every sentence, indeed next to every clause, carries a message that asks for the reader's active thought. It can safely be recommended as s must to anybody who is genuinely interested in the relation between Greek mathematics and logic …' Studia Logica

Spis treści

Introduction: a specimen of Greek mathematics; 1. The lettered diagram; 2. The pragmatics of letters; 3. The mathematical lexicon; 4. Formulae; 5. The shaping of necessity; 6. The shaping of generality; 7. The historical setting; Appendix: the main Greek mathematicians cited in the book.