The logic of essentialism: an interpretation of Aristotle's modal syllogistic
The Logic of Essentialism surveys the major interpretations, ancient, medieval and modern, of Aristotle's Modal Syllogistic. It presents a framework within which these competing interpretations are compared and evaluated. A new interpretation is developed, which agrees in large measure with Ari...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1996
|
| Schriftenreihe: | The new synthese historical library
43 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | The Logic of Essentialism surveys the major interpretations, ancient, medieval and modern, of Aristotle's Modal Syllogistic. It presents a framework within which these competing interpretations are compared and evaluated. A new interpretation is developed, which agrees in large measure with Aristotle's text, including his theses, methods of proof, and use of examples. This interpretation reads Aristotle's modal sentences de re, and attaches considerable importance to his use of ecthesis and counter-examples. It features a formal semantic analysis that makes no reference to possible worlds, and it articulates the links, both theoretical and genetic, between the modal syllogistic and Aristotle's essentialist metaphysics. |
| Beschreibung: | XII, 381 S. Ill., graph. Darst. |
| ISBN: | 0792339878 |
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| 520 | 3 | |a The Logic of Essentialism surveys the major interpretations, ancient, medieval and modern, of Aristotle's Modal Syllogistic. It presents a framework within which these competing interpretations are compared and evaluated. A new interpretation is developed, which agrees in large measure with Aristotle's text, including his theses, methods of proof, and use of examples. This interpretation reads Aristotle's modal sentences de re, and attaches considerable importance to his use of ecthesis and counter-examples. It features a formal semantic analysis that makes no reference to possible worlds, and it articulates the links, both theoretical and genetic, between the modal syllogistic and Aristotle's essentialist metaphysics. | |
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Datensatz im Suchindex
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| adam_text | THE LOGIC OF
ESSENTIALISM
An Interpretation of Aristotle s Modal Syllogistic
by
PAUL THOM
The Australian National University,
Department of Philosophy,
Faculty of Arts,
Canberra, ACT, Australia
KLUWER ACADEMIC PUBLISHERS
DORDRECHT / BOSTON / LONDON
TABLE OF CONTENTS
INTRODUCTION
§0 Entering the Realm of Darkness 1
CHAPTER ONE ELEMENTARY SYNTAX
§1 Elementary forms 7
§2 Modal opposition 13
2 1 Necessity-and possibility-forms - 13
2 2 Necessity-and contingency-forms 15
§3 Transformation rules: Substitution, Permutation, Reductio and Cut 18
3 1 Substitution 18
3 2 Permutation 19
3 3 Indirect Reduction 20
3 4 Cut 21
§4 Transformation rules: Contraction, Ecthesis 23
4 1 Contraction 23
4 2 Ecthesis 25
§5 Transformation rules: modal reductio 26
CHAPTER TWO AXIOMS
§6 Axioms: X and L axioms 31
61X axioms 31
62L axioms 32
621 Pure L axioms 32
622 L-X axioms 34
§7 Axioms: Q axioms 36
7 1 Pure Q axioms 38
7 2 Q-X axioms 40
7 3 Q-L axioms 40
§8 Axioms: Q , M and X axioms 42
8 1 Q axioms 42
82M axioms 43
8 3 Unqualified assertoric axioms 45
CHAPTER THREE THESES
§9 Necessity moods 47
9 1 Pure L theses 47
9 2 L-X theses 51
§10 Unampliated contingency moods 55
10 1 Q-X theses 55
10 2 Q-L theses 58
10 2 1 First Figure 58
10 2 2 Second Figure 59
10 2 3 Third Figure 62
§ 11 Ampliated contingency moods 63
§12 Possibility moods 67
12 1 First Figure 69
12 2 Second Figure 71
12 3 Third Figure 73
§13 Unqualified moods 78
13 1 First Figure 78
13 2 Second Figure 82
13 3 Third Figure 84
CHAPTER FOUR REJECTIONS
§14 Necessity moods 86
14 1 Rejected L-X moods: First Figure 88
14 2 Rejected L-X moods: Second Figure 91
14 3 Rejected L-X moods: Third Figure 93
§ 15 Unampliated contingency moods 96
15 1 Rejected 1-premissedQ moods 96
15 2 Rejected 2-premissed Q-X moods 98
15 2 1 Rejected Q-X moods: First Figure 99
15 2 2 Rejected Q-X moods: Second Figure 103
15 2 3 Rejected Q-X moods: Third Figure 106
15 3 Rejected Q-L moods 107
15 3 1 Rejected Q-L moods: First Figure 108
15 3 2 Rejected Q-L moods: Second Figure 110
15 3 3 Rejected Q-L moods: Third Figure 112
§16 Ampliated contingency moods 115
16 1 Rejected Q moods: First Figure 115
16 2 Rejected Q1 moods: Second Figure 117
16 3 Rejected Q1 moods: Third Figure 118
§17 Possibility and unqualified moods 119
CHAPTER FIVE FLAWS IN THE FABRIC
§18 Incidental mistakes 124
18 1 Barbara XLL and the Hintikka Formulae 124
18 2 Datisi XLL, Disamis LXL and necessarily awake bipeds 125
18 3 QiLo-1, QoLo-1 and necessarily non-white men 126
18 4 QaLaLo-2, QeLaLo-2 and negative conclusions from affirmative
premisses 126
18 5 QaLe-3, QeLe-3 and necessarily sleeping horses 126
18 6 Barbara X QM and unqualified assertorics 128
§19 Substantial mistakes 128
19 1 QaLaXe-2 and negative conclusions from affirmative premisses 128
19 2 Barbara XQM and ephemeral contingencies 130
§20 Inconsistencies 132
20 1 Baroco XLL, Bocardo LXL and ecthesis 132
20 2 Q-opposition and Qi-conversion 135
CHAPTER SIX SYSTEM AL
§21 Assertoric forms 139
§22 Necessity forms 141
22 1 Formal semantics 142
22 2 The Sun set Theorem 147
22 3 Validity of the axioms 150
22 4 Invalidity of the axiomatic rejections 151
22 5 Corollaries 154
§23 Adding C, K, UandT 156
§24 Reduction to assertoric syllogistic 163
§25 Alternative de re approaches: base 168
25 1 Existence assumptions 168
25 2 Sun set assumptions 169
§26 Alternative de re approaches: superstructure 176
26 1 Superstructure A 176
26 2 Superstructure AA 111
26 3 Superstructure C 182
26 4 Superstructure CC 187
§27 Alternative approaches: de dicto theories 190
27 1 Pure de dicto theories 190
27 2 Mixed de dicto/de re theories 191
CHAPTER SEVEN SYSTEMS AQ AND AQ
§28 Unampliated contingency-forms 194
28 1 Formal semantics 196
28 2 Validity of the axioms 197
28 3 Invalidity of the axiomatic rejections 197
28 3 1 First Figure 198
28 3 2 Second Figure 204
28 3 3 Third Figure 207
28 4 Corollaries 208
§29 Ampliated contingency-forms 212
29 1 Formal semantics 215
29 2 Validity of the axioms 215
29 3 Invalidity of the axiomatic rejections 216
29 4 Corollaries 218
§30 The relation of ampliated to unampliated systems 220
§31 Reduction to assertoric syllogistic 224
§32 Alternative de re approaches 226
32 1 Superstructure A 226
32 2 Superstructure AA 230
32 3 Superstructure C 238
32 4 Superstructure CC 244
32 5 Comparing superstructures 247
§33 Alternative approaches: de dicto theories 248
CHAPTER EIGHT SYSTEM AX1
§34 Unqualified assertorics 251
§35 System AX 257
§36 Reduction to assertoric syllogistic 259
§37 A reprieve for modal reductio 260
CHAPTER NINE SINGULAR MODAL SYLLOGISTIC
§38 System AEL5 267
38 1 Syntactic base 267
38 2 Formal semantics 272
38 3 Provability of AL s base 277
§39 Systems AEQ5 and AEQ 5 282
§40 Alternative de re approaches 286
40 1 i4-style singular modal syllogistic 288
40 2 AA -style singular modal syllogistic 291
40 3 C-style singular modal syllogistic 296
40 4 CC-style singular modal syllogistic 301
§41 Reduction to assertoric syllogistic 304
41 1 System EgO 304
41 2 Alternative superstructures 308
41 3 Alternative bases 309
CHAPTER TEN ESSENTIALISM
§42 Varieties of essentialism 314
42 1 Essentialism 316
42 2 Examples of essentialist theory 317
42 3 Aristotelian essentialism: generalities 318
42 4 Aristotelian essentialism: specifics 320
§43 The essentialism of the modal syllogistic 325
43 1 A metaphysical interpretation of the modal syllogistic 325
43 2 Interpreting the base 326
43 3 Interpreting the superstructure 328
43 3 1 La-propositions 328
43 3 2 Le-propositions 331
43 3 3 Li-propositions 332
43 3 4 Lo-propositiions 333
43 3 5 Q-propositions 334
§44 Aristotle s static essentialism 335
§45 Aristotle s dynamic essentialism 342
§46 The metaphysics of unqualified assertorics 345
§47 Aristotelian vs Platonic essentialism 348
§48 Conclusions 350
|
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| isbn | 0792339878 |
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| spelling | Thom, Paul Verfasser aut The logic of essentialism an interpretation of Aristotle's modal syllogistic by Paul Thom Dordrecht [u.a.] Kluwer 1996 XII, 381 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier The new synthese historical library 43 The Logic of Essentialism surveys the major interpretations, ancient, medieval and modern, of Aristotle's Modal Syllogistic. It presents a framework within which these competing interpretations are compared and evaluated. A new interpretation is developed, which agrees in large measure with Aristotle's text, including his theses, methods of proof, and use of examples. This interpretation reads Aristotle's modal sentences de re, and attaches considerable importance to his use of ecthesis and counter-examples. It features a formal semantic analysis that makes no reference to possible worlds, and it articulates the links, both theoretical and genetic, between the modal syllogistic and Aristotle's essentialist metaphysics. Aristote - Et le syllogisme Aristotle <384-322 B.C> - Contributions in modal syllogistic Aristotle Aristoteles v384-v322 (DE-588)118650130 gnd rswk-swf Essence (Philosophie) Logique ancienne Modaliteit gtt Modalité (Logique) Syllogisme Syllogismen gtt Essentialism (Philosophy) Logic, Ancient Modality (Logic) Syllogism Modallogik (DE-588)4074914-9 gnd rswk-swf Aristoteles v384-v322 (DE-588)118650130 p Modallogik (DE-588)4074914-9 s DE-604 The new synthese historical library 43 (DE-604)BV004073988 43 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007254998&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thom, Paul The logic of essentialism an interpretation of Aristotle's modal syllogistic The new synthese historical library Aristote - Et le syllogisme Aristotle <384-322 B.C> - Contributions in modal syllogistic Aristotle Aristoteles v384-v322 (DE-588)118650130 gnd Essence (Philosophie) Logique ancienne Modaliteit gtt Modalité (Logique) Syllogisme Syllogismen gtt Essentialism (Philosophy) Logic, Ancient Modality (Logic) Syllogism Modallogik (DE-588)4074914-9 gnd |
| subject_GND | (DE-588)118650130 (DE-588)4074914-9 |
| title | The logic of essentialism an interpretation of Aristotle's modal syllogistic |
| title_auth | The logic of essentialism an interpretation of Aristotle's modal syllogistic |
| title_exact_search | The logic of essentialism an interpretation of Aristotle's modal syllogistic |
| title_full | The logic of essentialism an interpretation of Aristotle's modal syllogistic by Paul Thom |
| title_fullStr | The logic of essentialism an interpretation of Aristotle's modal syllogistic by Paul Thom |
| title_full_unstemmed | The logic of essentialism an interpretation of Aristotle's modal syllogistic by Paul Thom |
| title_short | The logic of essentialism |
| title_sort | the logic of essentialism an interpretation of aristotle s modal syllogistic |
| title_sub | an interpretation of Aristotle's modal syllogistic |
| topic | Aristote - Et le syllogisme Aristotle <384-322 B.C> - Contributions in modal syllogistic Aristotle Aristoteles v384-v322 (DE-588)118650130 gnd Essence (Philosophie) Logique ancienne Modaliteit gtt Modalité (Logique) Syllogisme Syllogismen gtt Essentialism (Philosophy) Logic, Ancient Modality (Logic) Syllogism Modallogik (DE-588)4074914-9 gnd |
| topic_facet | Aristote - Et le syllogisme Aristotle <384-322 B.C> - Contributions in modal syllogistic Aristotle Aristoteles v384-v322 Essence (Philosophie) Logique ancienne Modaliteit Modalité (Logique) Syllogisme Syllogismen Essentialism (Philosophy) Logic, Ancient Modality (Logic) Syllogism Modallogik |
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