Abstractionism: Essays in Philosophy of Mathematics
Herausgeber: Ebert, Philip A.; Rossberg, Marcus
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Abstractionism: Essays in Philosophy of Mathematics
Herausgeber: Ebert, Philip A.; Rossberg, Marcus
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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.
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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.
Produktdetails
- Produktdetails
- Verlag: Sydney University Press
- Seitenzahl: 368
- Erscheinungstermin: 1. Februar 2017
- Englisch
- Abmessung: 234mm x 155mm x 25mm
- Gewicht: 680g
- ISBN-13: 9780199645268
- ISBN-10: 0199645264
- Artikelnr.: 47866928
- Verlag: Sydney University Press
- Seitenzahl: 368
- Erscheinungstermin: 1. Februar 2017
- Englisch
- Abmessung: 234mm x 155mm x 25mm
- Gewicht: 680g
- ISBN-13: 9780199645268
- ISBN-10: 0199645264
- Artikelnr.: 47866928
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.
* 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
* 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
* 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