03101nam 2200577 a 450 991043833240332120200520144314.094-007-6534-710.1007/978-94-007-6534-4(CKB)2670000000403986(EBL)1317723(OCoLC)852840083(SSID)ssj0000962500(PQKBManifestationID)11542569(PQKBTitleCode)TC0000962500(PQKBWorkID)10970260(PQKB)11544207(DE-He213)978-94-007-6534-4(MiAaPQ)EBC1317723(PPN)172433193(EXLCZ)99267000000040398620130524d2013 uy 0engur|n|---|||||txtccrThe argument of mathematics /Andrew Aberdein, Ian J. Dove, editors1st ed. 2013.New York Springer20131 online resource (391 p.)Logic, epistemology and the unity of science ;v. 30Description based upon print version of record.94-017-8194-X 94-007-6533-9 Includes bibliographical references and index.pt. I. What are mathematical arguments? -- pt. II. Argumentation as a methodology for studying mathematical practice -- pt. III. Mathematics as a testbed for argumentation theory -- pt. IV. An argumentational turn in 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. .Logic, Epistemology, and the Unity of Science,2214-9775 ;30Proof theoryProof theory.510.1Aberdein Andrew1764032Dove Ian J1764033MiAaPQMiAaPQMiAaPQBOOK9910438332403321The argument of mathematics4204763UNINA