A critical introduction to the philosophy of Gottlob Frege:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Aldershot [u.a.]
Ashgate
2006
|
| Schlagworte: | |
| Online-Zugang: | Table of contents Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | X, 157 S. |
| ISBN: | 0754654710 |
Internformat
MARC
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| 245 | 1 | 0 | |a A critical introduction to the philosophy of Gottlob Frege |c Guillermo E. Rosado Haddock |
| 264 | 1 | |a Aldershot [u.a.] |b Ashgate |c 2006 | |
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| 500 | |a Includes bibliographical references and index | ||
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Datensatz im Suchindex
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| adam_text | Contents
Preface vii
Chapter 1 Philosophy in Begriffsschrift
§ 1 An Epistemological Distinction 1
§ 2 On the Nature of Arithmetical Statements 2
§ 3 Concept Script versus Natural Language 3
§ 4 Judgeable Content 4
§ 5 Conceptual Content 5
§ 6 The Universal Predicate of all Statements 6
§ 7 Abandonment of some Traditional Distinctions 7
§ 8 Identity Statements in Begriffsschrift 9
§ 9 Functions in Begriffsschrift 11
§ 10 Axiom Systems 15
Chapter 2 Die Grundlagen der Arithmetic. First Part (§§1 45)
§ 1 The Need for a Clarification of the Nature of Mathematics 17
§ 2 The Methodological Principles 19
§ 3 The Classification of Statements 22
§ 4 The Naturalist Conception of Mathematics 23
§5 The Nature of Geometry 25
§ 6 Numbers and Properties of Objects 28
§ 7 Psychologism in Mathematics 30
§ 8 Numbers and the Process of Abstraction 33
Chapter 3 Die Grundlagen der Arithmetic. Second Part (§§46 109)
§ 1 Predications about Concepts 35
§ 2 Concept and Object in Die Grundlagen der Arithmetik 37
§ 3 First Attempt at a Definition of Number 39
§ 4 Second Attempt at a Definition of Number 42
§ 5 Third Attempt at a Definition of Number 49
§ 6 A Brief Sketch of the System 5 7
§ 7 Frege s Summary and his Assessment of Kant s Views 62
Chapter 4 The Basic Distinctions I: Sense and Referent
§ 1 Sense and Referent 67
§ 2 The Context Principle and Frege s Semantics of Sense and Referent 72
vi A Critical Introduction to the Philosophy ofGottlob Frege
§ 3 Critical Remarks I 75
§ 4 Critical Remarks II 76
§ 5 Critical Remarks III 81
§ 6 Critical Remarks IV 83
§ 7 Identity Statements 86
Chapter 5 The Basic Distinctions II: Function and Object
§ 1 The Nature of Functions 91
§ 2 The Predicative Nature of Concepts 94
§ 3 Value Ranges 99
§ 4 Some Difficulties 102
§ 5 Value Ranges and Extensions 105
Chapter 6 Fundamental Philosophical Issues in Grundgesetze
§ 1 Introduction 109
§ 2 Frege s Criticism of Psychologism in Logic 110
§ 3 Logicism in Grundgesetze der Arithmetik 114
§ 4 Frege s Platonism 115
§ 5 Frege s Criticism of Formalism in Mathematics 117
§ 6 On the Nature of Definitions 119
§ 7 Some Critical Remarks 123
Chapter 7 Some Remaining Philosophical Issues
§ 1 The Zermelo Russell Paradox and Frege s Reaction to
Russell s Letter 129
§ 2 The Controversy on the Foundations of Geometry 133
§ 3 Frege s Abandonment of Logicism 137
Bibliography 143
Name Index 151
Subject Index 155
|
| adam_txt |
Contents
Preface vii
Chapter 1 Philosophy in Begriffsschrift
§ 1 An Epistemological Distinction 1
§ 2 On the Nature of Arithmetical Statements 2
§ 3 Concept Script versus Natural Language 3
§ 4 Judgeable Content 4
§ 5 Conceptual Content 5
§ 6 The Universal Predicate of all Statements 6
§ 7 Abandonment of some Traditional Distinctions 7
§ 8 Identity Statements in Begriffsschrift 9
§ 9 Functions in Begriffsschrift 11
§ 10 Axiom Systems 15
Chapter 2 Die Grundlagen der Arithmetic. First Part (§§1 45)
§ 1 The Need for a Clarification of the Nature of Mathematics 17
§ 2 The Methodological Principles 19
§ 3 The Classification of Statements 22
§ 4 The Naturalist Conception of Mathematics 23
§5 The Nature of Geometry 25
§ 6 Numbers and Properties of Objects 28
§ 7 Psychologism in Mathematics 30
§ 8 Numbers and the Process of Abstraction 33
Chapter 3 Die Grundlagen der Arithmetic. Second Part (§§46 109)
§ 1 Predications about Concepts 35
§ 2 Concept and Object in Die Grundlagen der Arithmetik 37
§ 3 First Attempt at a Definition of Number 39
§ 4 Second Attempt at a Definition of Number 42
§ 5 Third Attempt at a Definition of Number 49
§ 6 A Brief Sketch of the System 5 7
§ 7 Frege's Summary and his Assessment of Kant's Views 62
Chapter 4 The Basic Distinctions I: Sense and Referent
§ 1 Sense and Referent 67
§ 2 The Context Principle and Frege's Semantics of Sense and Referent 72
vi A Critical Introduction to the Philosophy ofGottlob Frege
§ 3 Critical Remarks I 75
§ 4 Critical Remarks II 76
§ 5 Critical Remarks III 81
§ 6 Critical Remarks IV 83
§ 7 Identity Statements 86
Chapter 5 The Basic Distinctions II: Function and Object
§ 1 The Nature of Functions 91
§ 2 The Predicative Nature of Concepts 94
§ 3 Value Ranges 99
§ 4 Some Difficulties 102
§ 5 Value Ranges and Extensions 105
Chapter 6 Fundamental Philosophical Issues in Grundgesetze
§ 1 Introduction 109
§ 2 Frege's Criticism of Psychologism in Logic 110
§ 3 Logicism in Grundgesetze der Arithmetik 114
§ 4 Frege's Platonism 115
§ 5 Frege's Criticism of Formalism in Mathematics 117
§ 6 On the Nature of Definitions 119
§ 7 Some Critical Remarks 123
Chapter 7 Some Remaining Philosophical Issues
§ 1 The Zermelo Russell Paradox and Frege's Reaction to
Russell's Letter 129
§ 2 The Controversy on the Foundations of Geometry 133
§ 3 Frege's Abandonment of Logicism 137
Bibliography 143
Name Index 151
Subject Index 155 |
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| discipline | Philosophie |
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| index_date | 2024-07-02T15:02:33Z |
| indexdate | 2024-07-09T20:40:46Z |
| institution | BVB |
| isbn | 0754654710 |
| language | English |
| lccn | 2005031884 |
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| physical | X, 157 S. |
| publishDate | 2006 |
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| spelling | Rosado Haddock, Guillermo E. 1945- Verfasser (DE-588)133455653 aut A critical introduction to the philosophy of Gottlob Frege Guillermo E. Rosado Haddock Aldershot [u.a.] Ashgate 2006 X, 157 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Frege, Gottlob 1848-1925 Frege, Gottlob 1848-1925 (DE-588)118535161 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Frege, Gottlob 1848-1925 (DE-588)118535161 p Philosophie (DE-588)4045791-6 s DE-604 http://www.loc.gov/catdir/toc/ecip063/2005031884.html Table of contents HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014863993&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rosado Haddock, Guillermo E. 1945- A critical introduction to the philosophy of Gottlob Frege Frege, Gottlob 1848-1925 Frege, Gottlob 1848-1925 (DE-588)118535161 gnd Philosophie (DE-588)4045791-6 gnd |
| subject_GND | (DE-588)118535161 (DE-588)4045791-6 |
| title | A critical introduction to the philosophy of Gottlob Frege |
| title_auth | A critical introduction to the philosophy of Gottlob Frege |
| title_exact_search | A critical introduction to the philosophy of Gottlob Frege |
| title_exact_search_txtP | A critical introduction to the philosophy of Gottlob Frege |
| title_full | A critical introduction to the philosophy of Gottlob Frege Guillermo E. Rosado Haddock |
| title_fullStr | A critical introduction to the philosophy of Gottlob Frege Guillermo E. Rosado Haddock |
| title_full_unstemmed | A critical introduction to the philosophy of Gottlob Frege Guillermo E. Rosado Haddock |
| title_short | A critical introduction to the philosophy of Gottlob Frege |
| title_sort | a critical introduction to the philosophy of gottlob frege |
| topic | Frege, Gottlob 1848-1925 Frege, Gottlob 1848-1925 (DE-588)118535161 gnd Philosophie (DE-588)4045791-6 gnd |
| topic_facet | Frege, Gottlob 1848-1925 Philosophie |
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