Mathematics without numbers: towards a modal-structural interpretation
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Press
1989
|
| Series: | Clarendon paperbacks
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 154 S. |
| ISBN: | 0198249349 0198240341 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction 1
1. The Natural Numbers and Analysis 11
§0. Introduction 11
§ 1. The Modal Structuralist Framework: The Hypothetical
Component 16
§ 2. The Categorical Component: An Axiom of Infinity and a
Derivation (inspired by Dedekind, with help from Frege) 24
§ 3. Justifying the Translation Scheme 33
§ 4. Justification from within 38
§5. Extensions 44
§6. The Question of Nominalism 47
2. Set Theory 53
§0. Introduction 53
§ 1. Informal Principles: Many vs. One 57
§ 2. The Relevant Structures 65
§ 3. Unbounded Sentences: Putnam Semantics 73
§ 4. Axioms of Infinity: Looking back 79
§ 5. Axioms of Infinity: Climbing up 83
Appendix 92
3. Mathematics and Physical Reality 94
§0. Introduction 94
§1. The Leading Ideas 97
§ 2. Carrying the Mathematics of Modern Physics: R A2 as
a Framework 104
§3. Global Solutions 118
§4. Metaphysical Realist Commitments? Synthetic
Determination Relations 124
§ 5. A Role for Representation Theorems? 135
Bibliography 145
Index 151
|
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| id | DE-604.BV002434233 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:45:11Z |
| institution | BVB |
| isbn | 0198249349 0198240341 |
| language | English |
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| physical | IX, 154 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
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| publisher | Clarendon Press |
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| series2 | Clarendon paperbacks |
| spelling | Hellman, Geoffrey Verfasser aut Mathematics without numbers towards a modal-structural interpretation Geoffrey Hellman Oxford Clarendon Press 1989 IX, 154 S. txt rdacontent n rdamedia nc rdacarrier Clarendon paperbacks Logica gtt Mathématiques Wiskunde gtt Logik Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001580064&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hellman, Geoffrey Mathematics without numbers towards a modal-structural interpretation Logica gtt Mathématiques Wiskunde gtt Logik Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 |
| title | Mathematics without numbers towards a modal-structural interpretation |
| title_auth | Mathematics without numbers towards a modal-structural interpretation |
| title_exact_search | Mathematics without numbers towards a modal-structural interpretation |
| title_full | Mathematics without numbers towards a modal-structural interpretation Geoffrey Hellman |
| title_fullStr | Mathematics without numbers towards a modal-structural interpretation Geoffrey Hellman |
| title_full_unstemmed | Mathematics without numbers towards a modal-structural interpretation Geoffrey Hellman |
| title_short | Mathematics without numbers |
| title_sort | mathematics without numbers towards a modal structural interpretation |
| title_sub | towards a modal-structural interpretation |
| topic | Logica gtt Mathématiques Wiskunde gtt Logik Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Logica Mathématiques Wiskunde Logik Mathematik Mathematics |
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