The iconic logic of Peirce's graphs:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, Mass. [u.a.]
MIT Press
2002
|
| Edition: | 1. print. |
| Series: | A Bradford book
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 208 S. Ill. |
| ISBN: | 0262194708 |
Staff View
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Record in the Search Index
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| adam_text |
The Iconic Logic of Peirce's Graphs
Sun-Joo Shin
A Bradford Book
The MIT Press
Cambridge, Massachusetts
London, England
© 2008 AGI-Information Management Consultants
May be used for personal purporses only or by
libraries associated to dandelon com network
Contents
Acknowledgments ix
1 Introduction 1
2 The Birth of Graphical Systems 13
2 1 Preliminaries 14
211 Graphs and the model-theoretic tradition 14
212 Graphs as a formal system 17
2 2 Diagrammatic reasoning 19
2 3 The theory of signs 22
231 Symbols, indices, and icons 23
232 Symbolic versus iconic signs 27
2 4 Heterogeneous formal systems 31
3 Existential Graphs as a Heterogeneous System 37
3 1 Introduction of Existential Graphs 37
311 Alpha graphs 37
312 Beta graphs 39
3 2 The symbolicity of Existential Graphs 48
3 3 The iconicity of Existential Graphs 53
331 Lines of identity 53
332 Existential versus universal quantifiers 56
333 Scope of quantifiers 57
4 The Alpha System Reconsidered 59
4 1 Endoporeutic reading 61
4 2 Negation normal form reading 63
421 Conjunctive and disjunctive juxtapositions 64
422 Semantics 68
viii Contents
4 3 Multiple readings 71
431 Scroll as conditional 72
432 The Multiple Carving Principle 76
4 4 Transformation rules 80
441A natural deductive system versus the Alpha system 80
442 The rules reformulated 83
443 The rules reinterpreted 88
444 Efficacious graphical systems 90
4 5 Sentences versus graphs 93
451 Translation of sentences into graphs 93
452 Applications: logical equivalence and NNF 95
453 Visual efficiency 97
5 The Beta System Reconsidered 99
5 1 Preliminaries 100
511 Zeman's reading 100
512 Roberts' reading 111
52A new reading 118
5 3 Transformation rules 134
5 4 Appendix: direct semantics 150
6 Logical System versus Calculus 163
7 Conclusion 171
Notes 175
Bibliography 197
Index 205 |
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| indexdate | 2024-07-20T08:42:38Z |
| institution | BVB |
| isbn | 0262194708 |
| language | English |
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| physical | X, 208 S. Ill. |
| publishDate | 2002 |
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| publisher | MIT Press |
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| series2 | A Bradford book |
| spelling | Shin, Sun-Joo Verfasser aut The iconic logic of Peirce's graphs Sun-Joo Shin 1. print. Cambridge, Mass. [u.a.] MIT Press 2002 X, 208 S. Ill. txt rdacontent n rdamedia nc rdacarrier A Bradford book Peirce, Charles S <1839-1914> - (Charles Sanders) Peirce, Charles S <1839-1914> (Charles Sanders) Peirce, Charles S. 1839-1914 (DE-588)118592459 gnd rswk-swf Logica gtt Logigrammes Logik Logic diagrams Logisches Diagramm (DE-588)4304480-3 gnd rswk-swf Peirce, Charles S. 1839-1914 (DE-588)118592459 p Logisches Diagramm (DE-588)4304480-3 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009830742&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Shin, Sun-Joo The iconic logic of Peirce's graphs Peirce, Charles S <1839-1914> - (Charles Sanders) Peirce, Charles S <1839-1914> (Charles Sanders) Peirce, Charles S. 1839-1914 (DE-588)118592459 gnd Logica gtt Logigrammes Logik Logic diagrams Logisches Diagramm (DE-588)4304480-3 gnd |
| subject_GND | (DE-588)118592459 (DE-588)4304480-3 |
| title | The iconic logic of Peirce's graphs |
| title_auth | The iconic logic of Peirce's graphs |
| title_exact_search | The iconic logic of Peirce's graphs |
| title_full | The iconic logic of Peirce's graphs Sun-Joo Shin |
| title_fullStr | The iconic logic of Peirce's graphs Sun-Joo Shin |
| title_full_unstemmed | The iconic logic of Peirce's graphs Sun-Joo Shin |
| title_short | The iconic logic of Peirce's graphs |
| title_sort | the iconic logic of peirce s graphs |
| topic | Peirce, Charles S <1839-1914> - (Charles Sanders) Peirce, Charles S <1839-1914> (Charles Sanders) Peirce, Charles S. 1839-1914 (DE-588)118592459 gnd Logica gtt Logigrammes Logik Logic diagrams Logisches Diagramm (DE-588)4304480-3 gnd |
| topic_facet | Peirce, Charles S <1839-1914> - (Charles Sanders) Peirce, Charles S <1839-1914> (Charles Sanders) Peirce, Charles S. 1839-1914 Logica Logigrammes Logik Logic diagrams Logisches Diagramm |
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