000 04503nam a22003855i 4500
001 313984
003 MX-SnUAN
005 20160429160727.0
007 cr nn 008mamaa
008 150903s2013 ne | o |||| 0|eng d
020 _a9789400765344
_99789400765344
024 7 _a10.1007/9789400765344
_2doi
035 _avtls000367873
039 9 _a201509030719
_bVLOAD
_c201405070448
_dVLOAD
_y201402251637
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aBC1-199
100 1 _aAberdein, Andrew.
_eeditor.
_9356413
245 1 4 _aThe Argument of Mathematics /
_cedited by Andrew Aberdein, Ian J Dove.
264 1 _aDordrecht :
_bSpringer Netherlands :
_bImprint: Springer,
_c2013.
300 _ax, 393 páginas 74 ilustraciones
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aLogic, Epistemology, and the Unity of Science ;
_v30
500 _aSpringer eBooks
505 0 _aIntroduction -- Part I. What are Mathematical Arguments? -- Chapter 1. Non-Deductive Logic in Mathematics: The Probability of Conjectures; James Franklin -- Chapter 2. Arguments, Proofs, and Dialogues; Erik C. W. Krabbe -- Chapter 3. Argumentation in Mathematics; Jesús Alcolea Banegas -- Chapter 4. Arguing Around Mathematical Proofs; Michel Dufour -- Part II. Argumentation as a Methodology for Studying Mathematical Practice -- Chapter 5. An Argumentative Approach to Ideal Elements in Mathematics; Paola Cantù -- Chapter 6. How Persuaded Are You? A Typology of Responses; Matthew Inglis and Juan Pablo Mejía-Ramos -- Chapter 7. Revealing Structures of Argumentations in Classroom Proving Processes; Christine Knipping and David Reid -- Chapter 8. Checking Proofs; Jesse Alama and Reinhard Kahle -- Part III. Mathematics as a Testbed for Argumentation Theory -- Chapter 9. Dividing by Zero—and Other Mathematical Fallacies; Lawrence H. Powers -- Chapter 10. Strategic Maneuvering in Mathematical Proofs; Erik C. W. Krabbe -- Chapter. 11 Analogical Arguments in Mathematics; Paul Bartha -- Chapter 12. What Philosophy of Mathematical Practice Can Teach Argumentation Theory about Diagrams and Pictures; Brendan Larvor -- Part IV. An Argumentational Turn in the Philosophy of Mathematics -- Chapter 13. Mathematics as the Art of Abstraction; Richard L. Epstein -- Chapter 14. Towards a Theory of Mathematical Argument; Ian J. Dove -- Chapter 15. Bridging the Gap Between Argumentation Theory and the Philosophy of Mathematics; Alison Pease, Alan Smaill, Simon Colton and John Lee -- Chapter 16. Mathematical Arguments and Distributed Knowledge; Patrick Allo, Jean Paul Van Bendegem and Bart Van Kerkhove -- Chapter 17. The Parallel Structure of Mathematical Reasoning; Andrew Aberdein -- Index.
520 _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. 
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aDove, Ian J.
_eeditor.
_9356414
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9789400765337
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-94-007-6534-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c313984
_d313984