The critical philosophy and its roots:
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York ; Port Melbourne ; New Delhi ; Singapore
Cambridge University Press
2021
|
| Ausgabe: | First paperback edition |
| Schriftenreihe: | Kant's philosophy of mathematics
volume 1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | x, 321 Seiten Illustrationen |
| ISBN: | 9781108717083 |
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Datensatz im Suchindex
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Contents List of Contributors Acknowledgements page ix x i Introduction 3 PART 1 ROOTS I i Kant and Mendelssohn on the Use of Signs in Mathematics Katherine Dunlop 15 2 Of Griffins and Horses: Mathematics, Metaphysics, and Kant’s Critical Turn Carl Posy 35 Kant on Mathematics and the Metaphysics of Corporeal Nature: The Role of the Infinitesimal Daniel Warren 66 3 PARTII METHOD AND LOGIC 4 Kant’s Theory of Mathematics: What Theory of What Mathematics? Jaakko Hintikka 83 85 5 Singular Terms and Intuitions in Kant: A Reappraisal Mirella Capozzi 103 6 Kant and the Character of Mathematical Inference Desmond Hogan 126
Contents viii P ART III SPACE AND GEOMETRY 15 5 7 Kant on Parallel Lines: Definitions, Postulates, and Axioms Jeremy Heis 157 8 Continuity, Constructibility, and Intuitivity Gordon Brittan 181 9 Space and Geometry in the В Deduction Michael Friedman 200 PART IV ARITHMETIC AND NUMBER io Arithmetic and the Conditions of Possible Experience Emily Carson її Kant’s Philosophy of Arithmetic: An Outline of a New Approach Daniel Sutherland 229 231 248 Kant on‘Number W. W. Tait 267 References to Worksby Kant Bibliography Index 292 296 312 12
KANT’S PHILOSOPHY OF MATHEMATICS Volume I: The Critical Philosophy and Its Roots The late 1960s saw the emergence of new philosophical interest in Kant’s philosophy of mathematics, and since then this interest has developed into a major and dynamic field of study. In this state-ofthe-art survey of contemporary scholarship on Kant’s mathematical thinking, Carl Posy and Ofra Rechter gather leading authors who approach it from multiple perspectives, engaging with topics includ ing geometry, arithmetic, logic, and metaphysics. Their essays offer fine-grained analysis of Kant’s philosophy of mathematics in the context of his Critical philosophy, and also show sensitivity to its historical background. The volume will be important for readers seeking a comprehensive picture of the current scholarship about the development of Kant’s philosophy of mathematics, its place in his overall philosophy, and the Kantian themes that influenced mathematics and its philosophy after Kant. is Professor Emeritus of Philosophy at the Hebrew University of Jerusalem. He is editor of Kanťs Philosophy ofMath ematics: Modern Essays (1992) and has written extensively on the philosophy of mathematics as well as on Kant. carl posy ofra rechter is a member of the philosophy department at Tel Aviv University. Her work focuses on Kant within the philosophy of mathematics and its history, and she has published a number of papers on Kant's philosophy of arithmetic. |
| adam_txt |
Contents List of Contributors Acknowledgements page ix x i Introduction 3 PART 1 ROOTS I i Kant and Mendelssohn on the Use of Signs in Mathematics Katherine Dunlop 15 2 Of Griffins and Horses: Mathematics, Metaphysics, and Kant’s Critical Turn Carl Posy 35 Kant on Mathematics and the Metaphysics of Corporeal Nature: The Role of the Infinitesimal Daniel Warren 66 3 PARTII METHOD AND LOGIC 4 Kant’s Theory of Mathematics: What Theory of What Mathematics? Jaakko Hintikka 83 85 5 Singular Terms and Intuitions in Kant: A Reappraisal Mirella Capozzi 103 6 Kant and the Character of Mathematical Inference Desmond Hogan 126
Contents viii P ART III SPACE AND GEOMETRY 15 5 7 Kant on Parallel Lines: Definitions, Postulates, and Axioms Jeremy Heis 157 8 Continuity, Constructibility, and Intuitivity Gordon Brittan 181 9 Space and Geometry in the В Deduction Michael Friedman 200 PART IV ARITHMETIC AND NUMBER io Arithmetic and the Conditions of Possible Experience Emily Carson її Kant’s Philosophy of Arithmetic: An Outline of a New Approach Daniel Sutherland 229 231 248 Kant on‘Number W. W. Tait 267 References to Worksby Kant Bibliography Index 292 296 312 12
KANT’S PHILOSOPHY OF MATHEMATICS Volume I: The Critical Philosophy and Its Roots The late 1960s saw the emergence of new philosophical interest in Kant’s philosophy of mathematics, and since then this interest has developed into a major and dynamic field of study. In this state-ofthe-art survey of contemporary scholarship on Kant’s mathematical thinking, Carl Posy and Ofra Rechter gather leading authors who approach it from multiple perspectives, engaging with topics includ ing geometry, arithmetic, logic, and metaphysics. Their essays offer fine-grained analysis of Kant’s philosophy of mathematics in the context of his Critical philosophy, and also show sensitivity to its historical background. The volume will be important for readers seeking a comprehensive picture of the current scholarship about the development of Kant’s philosophy of mathematics, its place in his overall philosophy, and the Kantian themes that influenced mathematics and its philosophy after Kant. is Professor Emeritus of Philosophy at the Hebrew University of Jerusalem. He is editor of Kanťs Philosophy ofMath ematics: Modern Essays (1992) and has written extensively on the philosophy of mathematics as well as on Kant. carl posy ofra rechter is a member of the philosophy department at Tel Aviv University. Her work focuses on Kant within the philosophy of mathematics and its history, and she has published a number of papers on Kant's philosophy of arithmetic. |
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| dewey-full | 510.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik Philosophie |
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| edition | First paperback edition |
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| spelling | The critical philosophy and its roots edited by Carl Posy (Hebrew University of Jerusalem), Ofra Rechter (Tel Aviv University) First paperback edition Cambridge ; New York ; Port Melbourne ; New Delhi ; Singapore Cambridge University Press 2021 x, 321 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Kant's philosophy of mathematics volume 1 Kant, Immanuel 1724-1804 (DE-588)118559796 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Kritizismus (DE-588)4165789-5 gnd rswk-swf Kant, Immanuel (1724-1804) Mathematics ; Philosophy Logic, Symbolic and mathematical (DE-588)4143413-4 Aufsatzsammlung gnd-content Kant, Immanuel 1724-1804 (DE-588)118559796 p Mathematik (DE-588)4037944-9 s Kritizismus (DE-588)4165789-5 s DE-604 Posy, Carl J. 1944- (DE-588)1068554118 edt Rechter, Ofra 1961- (DE-588)1210521601 edt Äquivalent Druck-Ausgabe, Hardcover 978-1-107-04290-2 Erscheint auch als Online-Ausgabe 978-1-107-33759-6 Kant's philosophy of mathematics volume 1 (DE-604)BV046720516 1 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034092560&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034092560&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
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