Abstractionism is a recent and much debated position in the philosophy of mathematics. This collection of 16 original articles by leading scholars covers a variety of topics concerning both the philosophy and mathematics of Abstractionism and includes an extensive introduction to the field by the editors.
Abstractionism is a recent and much debated position in the philosophy of mathematics. This collection of 16 original articles by leading scholars covers a variety of topics concerning both the philosophy and mathematics of Abstractionism and includes an extensive introduction to the field by the editors.
Philip A. Ebert received his PhD in Philosophy from the University of St Andrews in 2006 and was a Post Doctoral Fellow at the Arché Centre from 2005-2007. He is currently a Senior Lecturer at the University of Stirling. ; Marcus Rossberg received his PhD in Philosophy from the University of St Andrews in 2006 and was a Post Doctoral Fellow at the Arché Centre from 2005-2008. He is currently an Associate Professor at the University of Connecticut.
Inhaltsangabe
* I. Introduction * 1: Philip A. Ebert and Marcus Rossberg: Introduction to Abstractionism * II. Semantics and Ontology of Abstraction * 2: William Stirton: Caesar and Circularity * 3: Richard G. Heck, Jr.: The Existence (and Non-existence) of Abstract Objects * 4: Matti Eklund: Hale and Wright on the Metaontology of Neo-Fregeanism * 5: Fraser MacBride: Neo-Fregean Ontology: Just Don't Ask Too Many Questions * 6: Friederike Moltmann: The Number of Planets, a Number-Referring Term? * III. Epistemology of Abstraction * 7: Philip A. Ebert: A Framework for Implicit Definitions and the A Priori * 8: Crispin Wright: Abstraction and Epistemic Entitlement: On the Epistemological Status of Hume's Principle * 9: Nikolaj Jang Lee Linding Pedersen: Hume's Principle and Entitlement: On the Epistemology of the Neo-Fregean Programme * 10: Agustín Rayo: Neo-Fregeanism Reconsidered * IV. Mathematics of Abstraction * 11: Roy T. Cook: Conservativeness, Cardinality, and Bad Company * 12: Øystein Linnebo: Impredicativity in the Neo-Fregean Programme * 13: Hannes Leitgeb: Abstraction Grounded: A Note on Abstraction and Truth * 14: Stewart Shapiro and Gabriel Uzquiano: Ineffability within the Limits of Abstraction Alone * V. Application Constraint * 15: Paul McCallion: On Frege's Applications Constraint * 16: Peter Simons: Applications of Complex Numbers and Quaternions: Historical Remarks, with a Note on Clifford Algebra * 17: Bob Hale: Definitions of Numbers and Their Applications
* I. Introduction * 1: Philip A. Ebert and Marcus Rossberg: Introduction to Abstractionism * II. Semantics and Ontology of Abstraction * 2: William Stirton: Caesar and Circularity * 3: Richard G. Heck, Jr.: The Existence (and Non-existence) of Abstract Objects * 4: Matti Eklund: Hale and Wright on the Metaontology of Neo-Fregeanism * 5: Fraser MacBride: Neo-Fregean Ontology: Just Don't Ask Too Many Questions * 6: Friederike Moltmann: The Number of Planets, a Number-Referring Term? * III. Epistemology of Abstraction * 7: Philip A. Ebert: A Framework for Implicit Definitions and the A Priori * 8: Crispin Wright: Abstraction and Epistemic Entitlement: On the Epistemological Status of Hume's Principle * 9: Nikolaj Jang Lee Linding Pedersen: Hume's Principle and Entitlement: On the Epistemology of the Neo-Fregean Programme * 10: Agustín Rayo: Neo-Fregeanism Reconsidered * IV. Mathematics of Abstraction * 11: Roy T. Cook: Conservativeness, Cardinality, and Bad Company * 12: Øystein Linnebo: Impredicativity in the Neo-Fregean Programme * 13: Hannes Leitgeb: Abstraction Grounded: A Note on Abstraction and Truth * 14: Stewart Shapiro and Gabriel Uzquiano: Ineffability within the Limits of Abstraction Alone * V. Application Constraint * 15: Paul McCallion: On Frege's Applications Constraint * 16: Peter Simons: Applications of Complex Numbers and Quaternions: Historical Remarks, with a Note on Clifford Algebra * 17: Bob Hale: Definitions of Numbers and Their Applications
Es gelten unsere Allgemeinen Geschäftsbedingungen: www.buecher.de/agb
Impressum
www.buecher.de ist ein Shop der buecher.de GmbH & Co. KG Bürgermeister-Wegele-Str. 12, 86167 Augsburg Amtsgericht Augsburg HRA 13309
