Thirteen promising young researchers write on what they take to be the right philosophical account of mathematics and discuss where the philosophy of mathematics ought to be going. New trends are revealed, such as an increasing attention to mathematical practice, a reassessment of the canon, and inspiration from philosophical logic. INDICE: Series Preface - Acknowledgements - Notes on Contributors - Introduction: O.Bueno ; O.Linnebo - PART I: REASSESSING THE ORTHODOXY IN THE PHILOSOPHY OF MATHEMATICS - New Waves on an Old Beach: Neo-Fregean Philosophy of Mathematics Today; R.Cook - Reducing Arithmetic to Set Theory; A.Paseau - PART II:THE QUESTION OF REALISM IN MATHEMATICS - Mathematical Fictionalism; O.Bueno -Truth in Mathematics: The Question of Pluralism; P.Koellner - 'Algebraic' Approaches to Mathematics; M.Leng - PART III: MATHEMATICAL PRACTICE AND THE METHODOLOGY OF MATHEMATICS - Mathematical Accidents and the End of Explanation; A.Baker - Applying Inconsistent Mathematics; M.Colyvan - Towards a Philosophy of Applied Mathematics; C.Pincock - PART IV: MATHEMATICAL LANGUAGE AND THE PSYCHOLOGY OF MATHEMATICS - Formal Tools and the Philosophy of Mathematics; T.Hofweber - The Individuation of the Natural Numbers; Ø.Linnebo - Towards a Trivialist Account of Mathematics; A.Rayo - PART V: FROM PHILOSOPHICAL LOGIC TO THE PHILOSOPHY OF MATHEMATICS - On Formal and Informal Provability; H.Leitgeb - Quantification without a Domain; G.Uzquiano - Index
- ISBN: 978-0-230-21942-7
- Editorial: Palgrave Macmillan
- Encuadernacion: Cartoné
- Páginas: 344
- Fecha Publicación: 29/09/2009
- Nº Volúmenes: 1
- Idioma: Inglés