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100   $a20130524d2013      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 04$aThe argument of mathematics /$fAndrew Aberdein, Ian J. Dove, editors
205   $a1st ed. 2013.
210   $aNew York $cSpringer$d2013
215   $a1 online resource (391 p.)
225  0$aLogic, epistemology and the unity of science ;$vv. 30
300   $aDescription based upon print version of record.
311   $a94-017-8194-X 
311   $a94-007-6533-9 
320   $aIncludes bibliographical references and index.
327   $apt. 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.
330   $aWritten by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations. The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics. .
410  0$aLogic, Epistemology, and the Unity of Science,$x2214-9775 ;$v30
606   $aProof theory
615  0$aProof theory.
676   $a510.1
701   $aAberdein$b Andrew$01764032
701   $aDove$b Ian J$01764033
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438332403321
996   $aThe argument of mathematics$94204763
997   $aUNINA