Bolzano's logical system:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford University Press
2016
|
| Ausgabe: | First edition |
| Schriftenreihe: | Oxford logic guides
54 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xv, 352 Seiten Illustrationen |
| ISBN: | 9780198788294 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804177014041608193 |
|---|---|
| adam_text | CONTENTS
1 Introduction................................................................. 1
LI The Bolzanian Conceptual Universe 1
1.2 The Logic and the Language 5
1.3 General (Elementary) Principles of Ontology, Lectology, and Epistemology 6
1.4 Restricted Quantifiers 11
1.5 Variation 12
1.6 Ordered «-tuples 15
1.7 Relations (Relational Qualities) 17
2 Elementary Level (A) : Ideas.................................................20
2.1 Preamble 20
2.2 Properties of Ideas 20
2.3 Relations Between Two Ideas 24
2.4 Relations Among Several Ideas 28
2.5 The Idea of Something 37
2.6 Concretization 38
2.7 Concrete and Abstract Ideas 39
2.8 Intuitions 43
2.9 Sum of Quality Ideas 45
2.10 Another Lectological Operation on Quality Ideas 51
2.11 Negation 52
3 Elementary Level (B): Propositions...................................... 62
3.1 Atomic Propositions 62
3.2 Aristotelian Universal Propositions with Existential Import 66
3.3 Material Proprieties and Relations of Propositions 67
3.4 Complex Propositions 70
3.5 Variation 74
3.6 Formal Properties and Relations of Ideas 76
3.7 Validity of Propositions 76
3.8 Analytic and Synthetic Truth and Falsity 79
3.9 Formal Relations Among Propositions 81
3.10 Formal Connectives 110
3.11 Probability 111
3.12 Probability of Events 120
xiv
CONTENTS
4 Symbolic Level..............................................................124
4.1 Preliminary Remark: Prop erti es of Things
and Quality of Objects 124
4.2 Bolzano s Conjecture 125
4.3 Restricted Symbolic Level—Ideas ofldeas 128
4.4 The Traditional Categorical Propositions 132
4.5 Extended Symbolic Level: Ideas of Propositions 133
4.6 Material Connectives 136
4.7 Formal Properties and Relations 140
4.8 Formal Properties of Collections of Propositions 143
4.9 Formal Relations Among Propositions 144
4.10 Generalization to a Finite Set ofldeas 147
4.11 Formal Connectives Among Finite Sets of Propositions 149
4.12 ‘Arbitrary Sets ofldeas and Propositions 151
4.13 Generalization of Properties and Material Relations among Ideas 152
4.14 Two Operations on Ideas of Object Ideas 154
4.15 New Formulation of the Material Relations among Ideas of Ideas 158
4.16 Bolzano s Thesis for Material Relations Among Sets ofldeas 160
4.17 Material Conjunctions and Disjunctions 161
4.18 Formal Properties of‘Arbitrary Sets of Propositions 166
4.19 Formal Relations among ‘Arbitrary Sets of Propositions 167
4.20 Formal Connectives among ‘Arbitrary Sets of Propositions 170
5 Inferences.........................................................-........173
5.1 Preliminaries 173
5.2 Rules to Obtain Inferences from Inferences 176
5.3 Inferences with One or More Universal Premises 177
5.4 Inferences with at Least One Negated Universal Premise 185
5.5 Inferences with One or More Existential or Inexistential Premises 188
5.6 Syllogistic Inferences 202
5.7 Inferences from Premises Containing Width Determinations 206
5.8 Inferences from Premises Enunciating Relations among Ideas 210
5.9 Inferences from Premises Enunciating Relations among Propositions 214
6 Higher Level . . • .........................................................233
6.1 Preamble 233
6.2 The Problem of Vacuous Qualities 233
6.3 Truth as Enunciation of a Situation 239
6.4 Qualities of Qualities 243
CONTENTS
XV
7 Etiology................................................................. 250
7.1 Consecutivity 250
7.2 Dependence 259
7.3 Consecutivity and Derivability 261
7.4 Causality (A): Ontological-Metaphysical Preliminaries 267
7.5 Causality (B): the Relations of Causality 270
7.6 Alethic Modalities 272
8 Theory of Knowledge...................................................... 275
8.1 Having as Material: Representations and Judgements 275
8.2 Logical Properties of Representations and Judgements 278
8.3 Cognitive and Physical Properties of Representations
and Judgements 280
8.4 The Formation of Judgements 282
8.5 Knowledge and Error 289
8.6 Trust 293
8.7 Knowing and Believing 294
9 Semiotics...................................................................296
9.1 Semiotic Relations 296
9.2 Hermeneutics 302
A The Epsilon Calculus with Definitory Expansions 307
B Specific Axioms 309
C Aggregates 315
1 Preamble 315
2 The N otion of Aggregate 316
3 Ideas of Aggregates 323
4 Existence of Aggregates 325
D Unity and Multiplicity 328
E Antinomies 331
F Real numbers 337
References 339
Author Index 347
Subject Index 349
|
| any_adam_object | 1 |
| author | Casari, Ettore 1933-2019 |
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| author_facet | Casari, Ettore 1933-2019 |
| author_role | aut |
| author_sort | Casari, Ettore 1933-2019 |
| author_variant | e c ec |
| building | Verbundindex |
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| callnumber-raw | B4805.B654 |
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| callnumber-subject | B - Philosophy |
| classification_rvk | CG 1837 |
| ctrlnum | (OCoLC)961906883 (DE-599)BVBBV044019158 |
| discipline | Philosophie |
| edition | First edition |
| format | Book |
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| id | DE-604.BV044019158 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:41:20Z |
| institution | BVB |
| isbn | 9780198788294 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029426726 |
| oclc_num | 961906883 |
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| owner_facet | DE-12 DE-11 |
| physical | xv, 352 Seiten Illustrationen |
| psigel | DHB_BSB_DDC1 |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Oxford University Press |
| record_format | marc |
| series | Oxford logic guides |
| series2 | Oxford logic guides Oxford science publications |
| spelling | Casari, Ettore 1933-2019 Verfasser (DE-588)127150323 aut Bolzano's logical system Ettore Casari First edition Oxford Oxford University Press 2016 xv, 352 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Oxford logic guides 54 Oxford science publications Bolzano, Bernard 1781-1848 (DE-588)118513117 gnd rswk-swf Naturwissenschaft Philosophie Logik (DE-588)4036202-4 gnd rswk-swf Bolzano, Bernard / 1781-1848 / Wissenschaftslehre Logic Science / Philosophy Wissenschaftslehre (Bolzano, Bernard) Bolzano, Bernard 1781-1848 (DE-588)118513117 p Logik (DE-588)4036202-4 s DE-604 Oxford logic guides 54 (DE-604)BV000013997 54 Digitalisierung BSB Muenchen - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029426726&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Casari, Ettore 1933-2019 Bolzano's logical system Oxford logic guides Bolzano, Bernard 1781-1848 (DE-588)118513117 gnd Naturwissenschaft Philosophie Logik (DE-588)4036202-4 gnd |
| subject_GND | (DE-588)118513117 (DE-588)4036202-4 |
| title | Bolzano's logical system |
| title_auth | Bolzano's logical system |
| title_exact_search | Bolzano's logical system |
| title_full | Bolzano's logical system Ettore Casari |
| title_fullStr | Bolzano's logical system Ettore Casari |
| title_full_unstemmed | Bolzano's logical system Ettore Casari |
| title_short | Bolzano's logical system |
| title_sort | bolzano s logical system |
| topic | Bolzano, Bernard 1781-1848 (DE-588)118513117 gnd Naturwissenschaft Philosophie Logik (DE-588)4036202-4 gnd |
| topic_facet | Bolzano, Bernard 1781-1848 Naturwissenschaft Philosophie Logik |
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