Logic and metaphysics: studies in Wittgenstein's ontology of facts
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Warszawa
Znak - Język - Rzeczywistość [u.a.]
1999
|
Ausgabe: | Wyd. 1. |
Schriftenreihe: | Biblioteka myśli semiotycznej
45 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | 329 S. graph. Darst. |
ISBN: | 8385372342 |
Internformat
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245 | 1 | 0 | |a Logic and metaphysics |b studies in Wittgenstein's ontology of facts |c Bogusław Wolniewicz |
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264 | 1 | |a Warszawa |b Znak - Język - Rzeczywistość [u.a.] |c 1999 | |
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490 | 1 | |a Biblioteka myśli semiotycznej |v 45 | |
600 | 1 | 7 | |a Wittgenstein, Ludwig <1889-1951> - krytyka i interpretacja |2 jhpk |
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Datensatz im Suchindex
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adam_text | Contents
Preface
11
Discontinuity of Wittgenstein s Philosophy
13
1
Elementary Situations as a Lattice of Finite Length
19
0
Preliminaries
............................. 19
1
Elementary Situations
........................ 20
1.1
The Axioms
.......................... 20
1.2
Some Consequences
..................... 24
1.3
W-Independence
....................... 27
1.4
States of Affairs
....................... 29
2
Sets of Elementary Situations
.................... 32
2.1
The Semigroup of SE-Sets
.................. 32
2.2
The Lattice of Minimal SE-Sets
.............. 35
2.3
Q-spaces and V-Sets
..................... 37
2.4
V-Equivalence and Q-Equivalence
............. 39
2.5
V-Classes and K-Sets
.................... 42
3
Objectives of Propositions
...................... 45
3.1
Verifiers of Propositions
................... 45
3.2
Verifying and Forcing
.................... 47
3.3
Situations and Logical Loci
................. 49
3.4
Loci and Objectives of Compound Propositions
...... 52
3.5
The Boolean Algebra of Situations
............. 53
4
Ontologies of Situations
....................... 56
4.1
Assumptions
......................... 56
4.2
A Typology for S-Ontologies
................ 57
4.3
Situation Semantics
.................... 62
5
Some Metaphysical Positions
.................... 64
5.1
Hume s
Diachronie
Atomism
................ 64
5.2
Laplacean Determinism
................... 65
5.3
Hume s
Synchronie
Atomism
................ 66
5.4
Wittgenstein s Logical Atomism
.............. 68
Elementary Situations as
a Semilattice
73
1
General Semilattices of Elementary Situations
........... 73
1.1
The Universe of Discourse
.................. 73
1.2
The Semigroup of Subsets
.................. 74
1.3
Involvement
.......................... 75
1.4
An Auxiliary Construction
................. 76
1.5
^-Equivalence
........................ 77
1.6
Quasi-Complementation
................... 79
1.7
The Algebra of SE-Sets
................... 81
1.8
A Closure System for SE-Sets
............... 83
1.9
Coherent
.S-E-Sets...................... 85
2
Compact Semilattices of Elementary Situations
.......... 88
2.1
A Compactness Condition
.................. 88
2.2
The Boolean Algebra of V-Sets
............... 90
2.3
A Representation for the Boolean Algebra of V-Sets
... 93
2.4
Separability of Elementary Situations
........... 95
2.5
The Relation of Entailment
................ 97
2.6
More on Separability
..................... 100
2.7
Separated Effigies of SS-Semilattices
............ 103
2.8
A Topology for Logical Space
................ 104
2.9
Atomic V-Sets
........................ 107
2.10
Atomic Algebras of V-Sets
................. 110
2.11
The Topological Discreteness of Logical Space
....... 113
3
The Boolean Algebra of Situations
................. 116
3.1
The Minima of SE-Seta
................... 116
3.2
The Lattice of Antichains
.................. 118
3.3
V-Sets and Inseparability Classes
.............. 120
3.4
Situations Defined
...................... 122
Independence
127
1
Four Notions of Independence
.................... 127
1.1
Tractatus
5.125...................... 127
1.2
Independence and Probability
................ 128
2
Truth-Arguments and Independence
................ 130
2.1
Terminology
......................... 130
2.2
Semantic Independence
................... 130
2.3
Wittgensteinian Independence
............... 131
2.4
Truth-Arguments
....................... 131
2.5
Interpreting Wittgenstein
.................. 132
3
Entailments and Independence in Join-Semilattices
........ 134
3.1
Preamble
........................... 134
3.2
Ontic
Ties
........................... 134
3.3
H^-Independence Generalized
................ 135
3.4
Independence under Direct Ties
............... 136
4
Elementary Situations Generalized
137
1
Semantic Frames
........................... 137
1.1
Semantic Frames Defined
.................. 137
1.2
Ontologicei
Preliminaries
.................. 139
1.3
S-Frames and W-Frames
.................. 140
2
Logical Loci
.............................. 144
2.1
The Loci of Propositions
................... 144
2.2
The Relevance Condition
.................. 145
2.3
Logical Loci Generalized
................... 147
2.4
A Galois Connection
..................... 149
2.5
The Synthetic A Priori
.................... 150
3
TheV-Sets
.............................. 154
3.1
Exclusion and Quasi-Complementation
........... 154
3.2
V-Sets and B-Classes
.................... 157
3.3
V-Sets as a Complete Lattice
................ 160
3.4
Unique Complementation
.................. 161
3.5
Distributivity
......................... 162
3.6
B-Classes
........................... 164
4
y-Sets of Verifiers
.......................... 165
4.1
The Notion of a Verifier
................... 165
4.2
Verifiers under the Axiom (Z3)
............... 167
4.3
The Boolean Algebra of Verifier Sets
............ 170
4.4
Weakening the Axiom (Z3)
................. 171
4.5
A
Lindenbaum
Interpretation
................ 173
5
Preconditions for Situations
..................... 174
5.1
Conditions for the Objectives of Propositions
....... 174
5.2
The Minimality Condition
.................. 178
6
Extending the Axiomatics
...................... 182
6.1
Elementary Situations Factorized
.............. 182
6.2
The Axioms of Conjunction and of
Ä-Compactness .... 184
6.3
The Join-Semilattice of SE-Clusters
............ 185
6.4
A Representation for (SE/r, V)
............... 186
7
Approximating Reality by an
Infinite
Sequence of Languages
. . 188
5
Auxiliary Studies
193
1
The Logical Atomisms of Russell and Wittgenstein
........ 193
1.1
Logical Atoms
........................ 193
1.2
Difference between Russell and Wittgenstein
....... 194
1.3
Self-Subsistence as Independence
.............. 196
1.4
The Gist of the Dispute
................... 197
2
A Parallelism between Wittgenstein and Aristotle
......... 198
2.1
Substances and Facts
.................... 198
2.2
Self-Subsistence and Independence
............. 199
2.3
Form and Configuration
................... 200
2.4
Secondary Substances
.................... 201
2.5
Molecular Facts
........................ 202
2.6
Perceiving Substances and Facts
.............. 203
2.7
Prime Matter and Objects
.................. 203
2.8
A Parallel with Thomism
.................. 204
2.9
Predicates: Essential and Accidental
............ 205
3
Frege s Semantics
........................... 207
3.1
Functions and Meanings
................... 207
3.2
Truth-Values
......................... 209
3.3
Senses as Aspects
....................... 211
3.4
Identity of Sense
....................... 213
3.5
Assertion
........................... 216
4
The Notion of Fact as a Modal Operator
.............. 218
4.1
Facts and
Contingence
.................... 218
4.2
Axioms of Factuality
..................... 219
4.3
Theorems of the System
M
................. 220
4.4
Theorems of the Systems S4 and S5
............ 222
4.5
Bilateral Possibility and Meaning
.............. 224
5
Tractatus
5.541 - 5.542...................... 224
5.1
Extensionality
........................ 224
5.2
Wittgenstein s Argument
.................. 225
5.3
States of Affairs Abstract and Concrete
.......... 227
5.4
A Note on Black s Companion
.............. 229
6
History of the Concept of a Situation
................ 229
6.1
Three Medieval Positions
.................. 229
6.2
Complexe Significabilia
................... 232
6.3
Modern Continuations
.................... 235
6
Offshoots
243
1
Languages and Codes
........................ 243
1.1
A Puzzle
........................... 243
1.2
One- and Two-Class Systems
................ 244
1.3
Confusing Languages with Codes
.............. 247
1.4
The Structure of Codes
................... 248
1.5
Two Examples
........................ 250
2
Logic and Hermeneutics
....................... 254
2.1
Two Kinds of Hermeneutics
................. 254
2.2
The Method of Logical Interpretation
........... 255
2.3
The Result of Logical Interpretation
............ 257
2.4
Hermeneutic Evaluation
................... 259
2.5
Border-Line Cases
...................... 262
2.6
Concordance of Systems
................... 263
3
Kotarbinski s Reism
......................... 265
3.1
An Opposition
........................ 265
3.2
Generalizing Reism
...................... 266
3.3
An Objection
......................... 268
3.4
Testing for Hypostases
.................... 269
3.5
Overriding the Opposition
.................. 270
4
On Bayle s Critique of Theodicy
.................. 271
4.1
The Problem
......................... 271
4.2
Translation
.......................... 273
4.3
Validity
............................ 273
4.4
Bayle
............................. 274
4.5
Interpretations
........................ 275
4.6
Illicit Step
........................... 277
4.7
A Defence
........................... 278
4.8
Possibility
........................... 280
4.9
Pseudo-Diodorean Possibility
................ 281
4.10
Necessity of Offences
..................... 282
4.11
Same Nature
......................... 283
4.12
Predication Principle
..................... 284
4.13
On Hell
............................ 285
5
Elzenberg s Axiology
......................... 286
5.1
The Outlook
......................... 286
5.2
Material Axiology
...................... 287
5.3
Formal Axiology
....................... 290
5.4
Two Value-Concepts
..................... 291
5.5
A Failure
........................... 292
6
Needs and Values
........................... 293
6.1
Non-Naturalism
.......................293
6.2
Doubts on Naturalism
....................297
6.3
Counter-Values
........................299
7
Suszko:
A Reminiscence
.......................302
Supplements
307
1
On Atomic Join-Semilattices
.................... 307
1.1
Preliminaries
......................... 307
1.2
Uniqueness
.......................... 309
1.3
Conditional Distributivity
.................. 309
1.4
Coherent Sets
......................... 310
1.5
Separability and Complementation
.............311
1.6
Appendix
........................... 313
2
Distributivity of V-Lattices
..................... 315
Indices
317
Index of Subjects
..............................317
Index of Names
...............................326
Index of Tractatus References
.......................329
|
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author | Wolniewicz, Bogusław 1927-2017 |
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id | DE-604.BV013138350 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:39:41Z |
institution | BVB |
isbn | 8385372342 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008950334 |
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spelling | Wolniewicz, Bogusław 1927-2017 Verfasser (DE-588)127354212 aut Logic and metaphysics studies in Wittgenstein's ontology of facts Bogusław Wolniewicz Wyd. 1. Warszawa Znak - Język - Rzeczywistość [u.a.] 1999 329 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Biblioteka myśli semiotycznej 45 Wittgenstein, Ludwig <1889-1951> - krytyka i interpretacja jhpk Wittgenstein, Ludwig 1889-1951 (DE-588)118634313 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Wittgenstein, Ludwig 1889-1951 (DE-588)118634313 p Philosophie (DE-588)4045791-6 s DE-604 Biblioteka myśli semiotycznej 45 (DE-604)BV005491013 45 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008950334&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Wolniewicz, Bogusław 1927-2017 Logic and metaphysics studies in Wittgenstein's ontology of facts Biblioteka myśli semiotycznej Wittgenstein, Ludwig <1889-1951> - krytyka i interpretacja jhpk Wittgenstein, Ludwig 1889-1951 (DE-588)118634313 gnd Philosophie (DE-588)4045791-6 gnd |
subject_GND | (DE-588)118634313 (DE-588)4045791-6 |
title | Logic and metaphysics studies in Wittgenstein's ontology of facts |
title_auth | Logic and metaphysics studies in Wittgenstein's ontology of facts |
title_exact_search | Logic and metaphysics studies in Wittgenstein's ontology of facts |
title_full | Logic and metaphysics studies in Wittgenstein's ontology of facts Bogusław Wolniewicz |
title_fullStr | Logic and metaphysics studies in Wittgenstein's ontology of facts Bogusław Wolniewicz |
title_full_unstemmed | Logic and metaphysics studies in Wittgenstein's ontology of facts Bogusław Wolniewicz |
title_short | Logic and metaphysics |
title_sort | logic and metaphysics studies in wittgenstein s ontology of facts |
title_sub | studies in Wittgenstein's ontology of facts |
topic | Wittgenstein, Ludwig <1889-1951> - krytyka i interpretacja jhpk Wittgenstein, Ludwig 1889-1951 (DE-588)118634313 gnd Philosophie (DE-588)4045791-6 gnd |
topic_facet | Wittgenstein, Ludwig <1889-1951> - krytyka i interpretacja Wittgenstein, Ludwig 1889-1951 Philosophie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008950334&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV005491013 |
work_keys_str_mv | AT wolniewiczbogusław logicandmetaphysicsstudiesinwittgensteinsontologyoffacts |