New waves in philosophy of mathematics / ed. by O.Bueno, Ø.Linnebo. - Basingstoke; New York: Palgrave Macmillan, 2009. - ix, 327 p.: ill. - (New waves in philosophy). - Incl. bibl. ref. - Ind.: p.324-327. - ISBN 978-0-230-21943-4  Место хранения:   035 | Объединенный институт истории, филологии и философии СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Series Editors' Foreword ...................................... vii Acknowledgements ............................................. viii List of Contributors ........................................... ix Philosophy of Mathematics: Old and New .......................... 1 Otávio Bueno and Øystein Linnebo Part I Reassessing the Orthodoxy in the Philosophy of Mathematics 1 New Waves on an Old Beach: Fregean Philosophy of Mathematics Today ........................................... 13 Roy T. Cook 2 Reducing Arithmetic to Set Theory ........................... 35 Alexander Paseau Part II The Question of Realism in Mathematics 3 Mathematical Fictionalism ................................... 59 Otávio Bueno 4 Truth in Mathematics: The Question of Pluralism ............. 80 Peter Koellner 5 "Algebraic" Approaches to Mathematics ...................... 117 Mary Leng Part III Mathematical Practice and the Methodology of Mathematics 6 Mathematical Accidents and the End of Explanation .......... 137 Alan Baker 7 Applying Inconsistent Mathematics .......................... 160 Mark Colyvan 8 Towards a Philosophy of Applied Mathematics ................ 173 Christopher Pincock Part IV Mathematical Language and the Psychology of Mathematics 9 Formal Tools and the Philosophy of Mathematics ............. 197 Thomas Hofweber 10 The Individuation of the Natural Numbers ................... 220 Øystein Linnebo 11 Toward a Trivialist Account of Mathematics ................. 239 Agustin Rayo Part V From Philosophical Logic to the Philosophy of Mathematics 12 On Formal and Informal Provability ......................... 263 Hannes Leitgeb 13 Quantification Without a Domain ............................ 300 Gabriel Uzquiano Index ......................................................... 324