Algebraic semantics in language and philosophy:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Stanford, Calif.
CSLI Publ.
1998
|
| Schriftenreihe: | CSLI lecture notes
74 |
| Schlagworte: | |
| Online-Zugang: | Table of contents Publisher description Inhaltsverzeichnis Klappentext |
| Beschreibung: | XII, 432 S. graph. Darst. |
| ISBN: | 1575860910 1575860902 |
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| 245 | 1 | 0 | |a Algebraic semantics in language and philosophy |c Godehard Link |
| 264 | 1 | |a Stanford, Calif. |b CSLI Publ. |c 1998 | |
| 300 | |a XII, 432 S. |b graph. Darst. | ||
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| 490 | 1 | |a CSLI lecture notes |v 74 | |
| 650 | 7 | |a Logica |2 gtt | |
| 650 | 7 | |a Semantiek |2 gtt | |
| 650 | 4 | |a Grammatik | |
| 650 | 4 | |a Logik | |
| 650 | 4 | |a Philosophie | |
| 650 | 4 | |a Semantik | |
| 650 | 4 | |a Sprache | |
| 650 | 4 | |a Grammar, Comparative and general |x Number | |
| 650 | 4 | |a Grammar, Comparative and general |x Quantifiers | |
| 650 | 4 | |a Semantics (Philosophy) | |
| 650 | 4 | |a Language and logic | |
| 650 | 4 | |a Language and languages |x Philosophy | |
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Datensatz im Suchindex
| _version_ | 1804126375599144960 |
|---|---|
| adam_text | Contents
Preface
ix
Introduction
1
1
The Logical Analysis of Plurals and Mass Terms: A Lattice-
theoretical Approach
11
1.1
Introduction
........................... 11
1.2
The Logic of Plurals and Mass Terms (LPM)
........ 22
1.3
Applications to Montague Grammar
............. 29
2
Plural
35
2.1
Introduction
........................... 35
2.2
Types of Plural Constructions
................. 36
2.2.1
Indefinite Plural NPs; Bare Plurals (BP)
...... 37
2.2.2
Definite Plural NPs
.................. 41
2.2.3
Universally Quantified PNPs; Quantifier Floating
. . 44
2.2.4
Numerals and Other Plural Quantifiers
....... 46
2.2.5
Partitive Constructions
................ 48
2.2.6
Coordinate Conjoined NP Structures
......... 49
2.2.7
Collective Nouns, Predicates, and Adverbs
...... 49
2.2.8
Distributive vs Collective Predication
........ 50
2.2.9
Relational Plural Sentences
............... 54
2.2.10
Reciprocal Constructions and respectively
...... 59
2.3
Ontology
............................ 61
2.3.1
The Power Set Model; Collections; Mereology
.... 61
2.3.2
The Algebraically Structured Universe of Individual
Sums and Groups
................... 66
2.4
Data Explained. Translation into Logical Form
....... 70
2.4.1
Indefinite PNPs
..................... 70
2.4.2
Bare Plurals
...................... 71
2.4.3
Definite
PNPs
..................... 71
2.4.4
all
............................ 72
2.4.5
Partitive
......................... 72
2.4.6
Conjoined NPs
..................... 72
2.4.7
RP Sentences
...................... 73
2.4.8
Reciprocals
....................... 74
2.4.9
respectively
....................... 74
2.5
Outlook and Special Problems
................ 75
Hydras. On the Logic of Relative Clause Constructions
with Multiple Heads
77
3.1
Introduction
........................... 77
3.2
The Frame of Analysis
..................... 79
3.3
Analysis of the Hydras
(4) - (10)............... 83
3.4
Conclusion
........................... 88
Generalized Quantifiers and Plurals
89
4.1
The Logic of Plurals, LP: Review of the Basic Ideas
.... 89
4.2
Lifting LP into the Generalized Quantifier
Framework
... 94
4.3
Plural Quantification
...................... 97
4.4
The Treatment of Numerals
.................. 101
4.5
Floated Quantifiers
....................... 109
4.6
The Case of the German
je
.................. 113
Je drei Äpfel—
three apples each: Quantification and the Ger¬
man
je 117
5.1
Different Uses of
je....................... 118
5.2
The Distributional Domain
.................. 119
5.3
The Distributive Share
..................... 122
5.4
Accessability
.......................... 123
5.5 je
vs
jeweils:
Events as Distributional Domain
....... 127
5.6
The Semantics of
je
Constructions
.............. 129
First-Order Axioms for the Logic of Plurality
133
6.1
The original LP arsenal and its use
.............. 135
6.2
LP axioms
............................ 138
6.2.1
The logical basis of free logic
............. 138
6.2.2
Proper axioms for LP
................. 141
6.2.3
Structuring the plural
semilattice
........... 143
6.2.4
L0nning s system rephrased in LP
.......... 153
6.3
Metatheory
........................... 156
Vil
7
Ten Years of Research on Plurals
-
Where Do We Stand?
163
7.1
Introduction
........................... 163
7.2
Current Areas of Research
................... 167
7.3
Groups and the Problem of Over-Representation
...... 172
7.4
Distributivity
.......................... 176
8
Algebraic Semantics for Natural Language: Some Philoso¬
phy, some Applications
189
8.1
Introduction
........................... 189
8.2
Algebraic Semantics in Logic
................. 191
8.3
Algebraic Semantics for Natural Language
.......... 195
8.3.1
Plural lattices
...................... 197
8.3.2
Mass Terms
....................... 199
8.3.3
Events
.......................... 200
8.4
Some Applications to Plural Theory
............. 204
8.5
Ontology of Plurals
....................... 208
8.6
Conclusion
........................... 211
9
Quantity and Number
213
9.1
Ontological Relativity
..................... 213
9.2
Structural Relativity in the Notion of Number
........ 221
10
The French Revolution
—
a Philosophical Event?
231
10.1
Introduction
........................... 231
10.2
The Structure of Events
.................... 232
10.2.1
Events in Time and Space
............... 232
10.2.2
Roles
.......................... 237
10.2.3
The Structure of Complex Events
........... 240
10.3
Uniformities: Types of Events
................. 241
10.4
Algebraic Semantics for Events
................ 244
10.4.1
Modeling
........................ 244
10.4.2
The Aether Model
................... 245
11
Algebraic Semantics of Event Structures
251
11.1
Introduction: The Project of Algebraic Semantics
...... 251
11.2
The Model Structure
...................... 257
11.3
Translation and Truth
..................... 261
11.4
Examples
............................ 264
VIU
12
The Ontology of Individuals and Events
269
12.1
General Remarks
........................ 269
12.2
Metaphysical Methodology
.................. 273
12.3
Individuals
........................... 277
12.3.1
Constitution
...................... 279
12.3.2
Temporal Parts
..................... 280
12.3.3
Processes
........................ 284
12.3.4
The Notion of Individual
............... 287
12.4
Events
.............................. 294
12.4.1
The Classified Process View
.............. 297
12.4.2
Formal Properties of Events
.............. 301
12.4.3
Questions about Events
................ 305
13
The Philosophy of Plurality
311
13.1
Introduction
........................... 311
13.2
Ontological Commitment
................... 312
13.3
The Counting Fallacy
..................... 318
13.4
Is There a Problem with Denotational Plural Semantics?
. . 321
13.5
Cross-linguistic Evidence
.................... 326
14
Mereology, Second-Order Logic, and Set Theory
331
14.1
Introduction
........................... 331
14.2
A mereological interpretation of monadic second-order logic
332
14.3
LP as a framework for mereological set theory
........ 344
Appendix: A Chapter in Lattice Theory
353
15.1
Ordering Relations; Preordered Sets; Posets
......... 353
15.2
Semilattices; Lattices
...................... 359
15.3
Boolean Lattices
........................ 370
15.4
Plural Lattices
......................... 375
Bibliography
383
Subject Index
417
Name Index
429
ALGEBRAIC SEMANTICS in Language and Philosophy
uses logical tools to investigate the formal structure of vari¬
ous kinds of objects in our world, as characterized by lan¬
guage and as systematized by philosophy. Algebraic Seman¬
tics focuses on the network of structural relations that
obtain among the entities and across kinds. Philosophically,
the approach is structuralist in spirit.
This volume mainly analyzes the structural properties of
collections or pluralities (with applications to the philoso¬
phy of set theory), homogeneous objects like water, and the
semantics and philosophy of events. This book thereby
complements algebraic work that has been done on other
philosophical entities, i.e. propositions, properties, rela¬
tions, or situations.
Located in the triangle of Language, Logic and Philoso¬
phy, this volume is unique in combining the resources of dif¬
ferent fields in an interdisciplinary enterprise.
Half of the fourteen chapters of this volume are original
papers, complementing the collection of the author s previ¬
ously published essays on the subject.
GODEHARD
LINK is Professor of Logic and Philosophy
of Science at the University of Munich, Germany. He has
also done extensive research in the semantics of natural
language.
|
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| id | DE-604.BV011831786 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:16:27Z |
| institution | BVB |
| isbn | 1575860910 1575860902 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007990044 |
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| physical | XII, 432 S. graph. Darst. |
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| series2 | CSLI lecture notes |
| spelling | Link, Godehard Verfasser (DE-588)108736504 aut Algebraic semantics in language and philosophy Godehard Link Stanford, Calif. CSLI Publ. 1998 XII, 432 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier CSLI lecture notes 74 Logica gtt Semantiek gtt Grammatik Logik Philosophie Semantik Sprache Grammar, Comparative and general Number Grammar, Comparative and general Quantifiers Semantics (Philosophy) Language and logic Language and languages Philosophy Semantik (DE-588)4054490-4 gnd rswk-swf Mathematische Linguistik (DE-588)4037950-4 gnd rswk-swf Mathematische Linguistik (DE-588)4037950-4 s Semantik (DE-588)4054490-4 s DE-604 CSLI lecture notes 74 (DE-604)BV001900711 74 http://www.loc.gov/catdir/toc/cam024/97046523.html Table of contents http://www.loc.gov/catdir/description/cam028/97046523.html Publisher description Digitalisierung UBRegensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007990044&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007990044&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Link, Godehard Algebraic semantics in language and philosophy CSLI lecture notes Logica gtt Semantiek gtt Grammatik Logik Philosophie Semantik Sprache Grammar, Comparative and general Number Grammar, Comparative and general Quantifiers Semantics (Philosophy) Language and logic Language and languages Philosophy Semantik (DE-588)4054490-4 gnd Mathematische Linguistik (DE-588)4037950-4 gnd |
| subject_GND | (DE-588)4054490-4 (DE-588)4037950-4 |
| title | Algebraic semantics in language and philosophy |
| title_auth | Algebraic semantics in language and philosophy |
| title_exact_search | Algebraic semantics in language and philosophy |
| title_full | Algebraic semantics in language and philosophy Godehard Link |
| title_fullStr | Algebraic semantics in language and philosophy Godehard Link |
| title_full_unstemmed | Algebraic semantics in language and philosophy Godehard Link |
| title_short | Algebraic semantics in language and philosophy |
| title_sort | algebraic semantics in language and philosophy |
| topic | Logica gtt Semantiek gtt Grammatik Logik Philosophie Semantik Sprache Grammar, Comparative and general Number Grammar, Comparative and general Quantifiers Semantics (Philosophy) Language and logic Language and languages Philosophy Semantik (DE-588)4054490-4 gnd Mathematische Linguistik (DE-588)4037950-4 gnd |
| topic_facet | Logica Semantiek Grammatik Logik Philosophie Semantik Sprache Grammar, Comparative and general Number Grammar, Comparative and general Quantifiers Semantics (Philosophy) Language and logic Language and languages Philosophy Mathematische Linguistik |
| url | http://www.loc.gov/catdir/toc/cam024/97046523.html http://www.loc.gov/catdir/description/cam028/97046523.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007990044&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007990044&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001900711 |
| work_keys_str_mv | AT linkgodehard algebraicsemanticsinlanguageandphilosophy |