Plato''s Problem - An Introduction to Mathematical Platonism

Informationen zum Autor MARCO PANZA is Research Professor at the CNRS. He is the author and editor of several books and papers in the domains of history and philosophy of mathematics. Including Analysis and sinthesis in Mathematics (ed., with M. Otte), 1997; Isaac Newton , 2003; Newton et l'origine de l'analyse, 1664-1666 , 2005; Nombres. Eléments de mathématiques pour philosophes , 2007. ANDREA SERENI is Lecturer at San Raffaele University, Milan, Italy. He has been a visiting scholar at Arché Centre at the University of St. Andrews. He has taught courses at the Universities of Modena and Reggio Emilia, Parma, and Bologna. His teaching, research and publications cover philosophy of mathematics, epistemology, and philosophy of language. Klappentext What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism. Zusammenfassung What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism. Inhaltsverzeichnis Preface Terminological Conventions Introduction The Origins From Frege to Gödel (through Hilbert) Benacerraf's Arguments Non-conservative Responses to Benacerraf's Dilemma Conservative Responses to Benacerraf's Dilemma The Indispensability Argument: Structure and Basic Notions The Indispensability Argument: The Debate Conclusion Notes References Index

Sommario

Preface Terminological Conventions Introduction The Origins From Frege to Gödel (through Hilbert) Benacerraf's Arguments Non-conservative Responses to Benacerraf's Dilemma Conservative Responses to Benacerraf's Dilemma The Indispensability Argument: Structure and Basic Notions The Indispensability Argument: The Debate Conclusion Notes References Index

Dettagli sul prodotto

• Autori: Panza, M Panza, M. Panza, Marco Panza, Marco Sereni Panza, PANZA MARCO SERENI ANDREA, A Sereni, A. Sereni, Andrea Sereni
• Editore: Palgrave UK
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 21.01.2013
• EAN: 9780230365490
• ISBN: 978-0-230-36549-0
• Pagine: 322
• Categorie: Saggistica > Filosofia, religione > Filosofia: dall'antichità ai giorni nostri; Scienze naturali, medicina, informatica, tecnica > Matematica > Tematiche generali, enciclopedie; Scienze umane, arte, musica > Filosofia > Altro; B, History, Logic, Philosophy, Mathematics, History of Philosophy, Philosophy of Mathematics, ancient philosophy, History of mathematics, History of Mathematical Sciences, Mathematics—Philosophy, History of philosophy, philosophical traditions, Palgrave Religion & Philosophy Collection, Classical Philosophy, Philosophy, Ancient, Philosophy: logic, Ancient Philosophy / Classical Philosophy, Aristotle;Kant;mathematics;Plato