Logic as universal science: Russell's early logicism and its philosophical context
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Basingstoke
Palgrave Macmillan
2013
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| Series: | History of analytic philosophy
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 277 S. Ill. 23 cm |
| ISBN: | 9780230577008 0230577008 |
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Record in the Search Index
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| adam_text | Titel: Logic as universal science
Autor: Korhonen, Anssi
Jahr: 2013
Contents
Series Editor s Foreword vii
Acknowledgements x
Introduction 1
1 Russell s Early Logicism: What Was It About? 18
Introduction 18
Different logicisms 20
Analyticity and syntheticity 21
Pursuit of rigour: the mathematical context 25
Why rigour? 27
Rigour and mathematical understanding:
Russell and Kant 30
2 Kant and Russell on the Mathematical Method 34
Introduction 34
Kant s programme for the philosophy of mathematics 36
Concepts and constructions 38
Pure and applied mathematics 43
Russell on the mathematical method 46
Russell and Peano 48
Deductive rigour 49
Pasch on rigorous reasoning 51
Russell on rigorous reasoning 55
Different sources of self-evidence 57
Russell on Kant s theory of mathematics:
the standard interpretation 6u
Russell on intuitions 6S
Russell s Kantian background 67
Quantity and propositional functions in PoM 70
The notion of intuition again 75
Russell and the synthetic a priori 77
3 Russell on Kant and the Synthetic a priori 80
Introduction 80
The relativized model of the a priori 81
Psychological reading 83
vi Contents
Truth-conditional reading 84
Argument from necessity 89
Truth and universality 103
Conclusions 104
4 Russell s Ontological Logic 107
Russellian propositions 107
Russell and Moore 110
Terms 114
The problem of unity 115
Truth primitivism 123
Propositional functions 126
Generality 127
Formal implication and the propositions of logic 129
The problem of unity as a formal problem 133
Universality of logic 137
Interpretation and the logic of variation 139
Truth and semantics 144
Logic as Calculus and Logic as Language 146
5 Russell and the Bolzanian Conception of Logic 158
Introduction 158
Kant on formal logic 160
Analyticity and apriority 164
The Bolzanian conception of logic 165
Bolzano and the Bolzanian conception of logic 167
Russell and the Bolzanian conception of logic 170
Universality and the normative notion of logicality 178
Russell and logical generality 185
The generality of logical constants 190
Russell on valid inference 193
Russell and Lewis Carroll s puzzle 204
Logic as synthetic 209
What happened to the Bolzanian notion of form? 219
What is logic? 229
Notes 238
Bibliography 265
Index 275
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| language | English |
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| physical | X, 277 S. Ill. 23 cm |
| publishDate | 2013 |
| publishDateSearch | 2013 |
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| publisher | Palgrave Macmillan |
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| series2 | History of analytic philosophy |
| spelling | Korhonen, Anssi Verfasser aut Logic as universal science Russell's early logicism and its philosophical context Anssi Korhonen Basingstoke Palgrave Macmillan 2013 X, 277 S. Ill. 23 cm txt rdacontent n rdamedia nc rdacarrier History of analytic philosophy Russell, Bertrand / 1872-1970 Russell, Bertrand 1872-1970 (DE-588)118604287 gnd rswk-swf Logic, Symbolic and mathematical Logik (DE-588)4036202-4 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Russell, Bertrand 1872-1970 (DE-588)118604287 p Logik (DE-588)4036202-4 s Mathematische Logik (DE-588)4037951-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025775745&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Korhonen, Anssi Logic as universal science Russell's early logicism and its philosophical context Russell, Bertrand / 1872-1970 Russell, Bertrand 1872-1970 (DE-588)118604287 gnd Logic, Symbolic and mathematical Logik (DE-588)4036202-4 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| subject_GND | (DE-588)118604287 (DE-588)4036202-4 (DE-588)4037951-6 |
| title | Logic as universal science Russell's early logicism and its philosophical context |
| title_auth | Logic as universal science Russell's early logicism and its philosophical context |
| title_exact_search | Logic as universal science Russell's early logicism and its philosophical context |
| title_full | Logic as universal science Russell's early logicism and its philosophical context Anssi Korhonen |
| title_fullStr | Logic as universal science Russell's early logicism and its philosophical context Anssi Korhonen |
| title_full_unstemmed | Logic as universal science Russell's early logicism and its philosophical context Anssi Korhonen |
| title_short | Logic as universal science |
| title_sort | logic as universal science russell s early logicism and its philosophical context |
| title_sub | Russell's early logicism and its philosophical context |
| topic | Russell, Bertrand / 1872-1970 Russell, Bertrand 1872-1970 (DE-588)118604287 gnd Logic, Symbolic and mathematical Logik (DE-588)4036202-4 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| topic_facet | Russell, Bertrand / 1872-1970 Russell, Bertrand 1872-1970 Logic, Symbolic and mathematical Logik Mathematische Logik |
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