Frege's conception of logic / Patricia A. Blanchette.

Format:

Book

Author/Creator:

Blanchette, Patricia.

Language:

English

Subjects (All):

Frege, Gottlob, 1848-1925.

Frege, Gottlob.

Logic.

Physical Description:

xv, 190 pages ; 22 cm

Place of Publication:

New York : Oxford University Press, [2012]

Summary:

In Frege's Conception of Logic Patricia A. Blanchette explores the relationship between Gottlob Frege's understanding of conceptual analysis and his understanding of logic. She argues that the fruitfulness of Frege's conception of logic, and the illuminating differences between that conception and those more modern views that have largely supplanted it, are best understood against the backdrop of a clear account of the role of conceptual analysis in logical investigation. Book jacket.

Contents:

1 Logidsm and Conceptual Analysis 7

1.1 Introduction to Analysis and Proof 7

1.2 Analysis and Proof in 1879 12

1.2.1 Derivation, Proof, and Definition 12

1.2.2 Conceptual Analysis 13

1.3 Analysis in 1881 18

1.4 Analysis in 1884 19

1.5 Grundgesetze 22

1.6 The General Picture 23

2 Thoughts 28

2.1 Thoughts and Language 28

2.2 Sense and Reference 37

2.3 The Structure of Sense 39

2.4 Thoughts and Language Again 45

2.5 Where we are 50

3 Thoughts and Sharp Boundaries 55

3.1 The Issue 55

3.2 The Texts 56

3.3 Piecemeal Definition and New Objects 62

3.4 Ordinary Discourse 68

3.5 Caesar 70

3.6 Quantification 72

3.7 Conclusion 75

4 The Analysis of Arithmetic 77

4.1 The Issue 77

4.2 ANalysis as Thought-Preserving? 79

4.3 Reference-Preservation and Analysis 82

4.4 Dummett on What's Preserved 87

4.5 What's Preserved 89

4.5.1 The Case of Directions 89

4.5.2 Numbers 92

4.5.3 Arithmetic 95

4.5.4 Alternative Reductions 101

4.6 Conclusions 102

5 Analysis and Consistency: The Case of Geometry 108

5.1 Introduction 108

5.2 Frege-Hilbert 109

5.3 Hilbert's Method 110

5.4 Frege's Objections 112

5.5 Consistency And Concepts 121

5.6 Analysis and Consistency 123

5.7 The 1906 Passage 125

5.8 Ultimate Analyses? 128

5.9 Concluding Remarks 130

6 Frege and Models 135

6.1 Models and Consistency 135

6.2 Models and Entailment 137

6.3 Implications 144

6.4 Summing Up 146

7 Metatheory 149

7.1 Frege's Metatheory 149

7.2 Universalism and Metatheory 156

7.2.1 The Issue 156

7.2.2 Internal Tensions 162

7.3 Soundness, Completeness, and Consistency 165

7.4 Categoricity 167

7.5 Conclusion 170

8 Conclusion 175.

Notes:

Includes bibliographical references.

ISBN:

9780199891610

0199891613

OCLC:

741273738