The Argument of Mathematics
Aberdein, Ian J. Dove (editors), Andrew
Sold by Shiny Owl Books, Gloucester, NSW, Australia
AbeBooks Seller since 24 June 2025
Used - Hardcover
Condition: Used - Fine
Quantity: 1 available
Add to basketSold by Shiny Owl Books, Gloucester, NSW, Australia
AbeBooks Seller since 24 June 2025
Condition: Used - Fine
Quantity: 1 available
Add to basketLogic, Epistemology, and the Unity of Science Volume 30 Size: Medium (20 to 26cm). Item Type: Book. ISBN/EAN: 9789400765337. **Postage to the USA is suspended due to the idiotic and chaotic tariff situation**.
Seller Inventory # 48502
Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations.
The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics.
Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations.
The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics.
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