Aristotle's modal syllogisms:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
North-Holland
1963
|
| Series: | Studies in logic and the foundations of mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 100 S. graph. Darst. |
Staff View
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Record in the Search Index
| _version_ | 1804116362536157184 |
|---|---|
| adam_text | CONTENTS
Preface v
Notation vi
Chapter I
The problem of the apodeictic moods
1. Introduction 1
2. Historical survey 1
3. Aristotle s system of apodeictic syllogisms 5
4. Aristotle on the two Barbaras 10
5. Hintikka s dilemma 13
6. Theophrastus and Lukasiewicz on the two Barbaras . . 15
7. Concrete examples of the two Barbaras 16
8. The Becker approach and its congeners 18
9. Rescher s interpretation 22
10. Completion of Rescher s interpretation 25
Chapter II
The system of apodeictic moods
11. Systematization of the assertoric moods 28
12. Modal logic of propositions 30
13. Opposition of modal premisses 33
14. Axiomatization of the apodeictic moods. The L-X-M
calculus 36
15. The laws of subalternation 38
16. The laws of conversion 39
17. The laws of modal subordination 41
VII
VIII CONTENTS
18. The LLL, LXL and XLL moods 41
19. Further L-X-M moods 44
Chapter III
Decision procedure for the apodeictic moods
20. The mechanism of rejection 47
21. A decision procedure for the L-X-M calculus 51
Chapter IV
The contingent moods
22. General remarks. The contingency operator 66
23. Conversion and opposition of contingent premisses ... 70
24. Can contingency be defined in terms of possibility and
necessity? 72
25. Axiomatization of the contingent moods. The Q-L-X-M
calculus 75
26. The laws of complementary conversion 78
27. The laws of subalternation 80
28. The laws of ordinary conversion 81
29. The laws of modal subordination 82
30. Conspectus of Aristotle s contingent moods 83
31. The QQQ moods 86
32. The QXQ and XQQ moods 8
33. The QXM and XQM moods 89
34. The QLQ and LQQ moods 91
35. The QLX and LQX moods 91
36. The g»LM and Z.0M moods 92
37. Summary of the Q-L-X-M moods 93
38. Conclusion 95
Index 99
|
| any_adam_object | 1 |
| author | McCall, Storrs |
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| discipline | Mathematik Philosophie Philologie / Byzantinistik / Neulatein |
| format | Book |
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| language | English |
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| spelling | McCall, Storrs Verfasser (DE-588)132668858 aut Aristotle's modal syllogisms Storrs McCall Amsterdam North-Holland 1963 VIII, 100 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in logic and the foundations of mathematics Aristoteles v384-v322 (DE-588)118650130 gnd rswk-swf Syllogismus (DE-588)4184185-2 gnd rswk-swf Modallogik (DE-588)4074914-9 gnd rswk-swf Aristoteles v384-v322 (DE-588)118650130 p Modallogik (DE-588)4074914-9 s DE-604 Syllogismus (DE-588)4184185-2 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001253868&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | McCall, Storrs Aristotle's modal syllogisms Aristoteles v384-v322 (DE-588)118650130 gnd Syllogismus (DE-588)4184185-2 gnd Modallogik (DE-588)4074914-9 gnd |
| subject_GND | (DE-588)118650130 (DE-588)4184185-2 (DE-588)4074914-9 |
| title | Aristotle's modal syllogisms |
| title_auth | Aristotle's modal syllogisms |
| title_exact_search | Aristotle's modal syllogisms |
| title_full | Aristotle's modal syllogisms Storrs McCall |
| title_fullStr | Aristotle's modal syllogisms Storrs McCall |
| title_full_unstemmed | Aristotle's modal syllogisms Storrs McCall |
| title_short | Aristotle's modal syllogisms |
| title_sort | aristotle s modal syllogisms |
| topic | Aristoteles v384-v322 (DE-588)118650130 gnd Syllogismus (DE-588)4184185-2 gnd Modallogik (DE-588)4074914-9 gnd |
| topic_facet | Aristoteles v384-v322 Syllogismus Modallogik |
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