Language, mathematics and linguistics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
The Hague ; Paris
Mouton
1967
|
| Series: | Janua linguarum
Series minor ; 60 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Frühere Ausg. erschien in: Current Trends in linguistics, Vol. 3 |
| Physical Description: | 243 Seiten graphische Darstellungen 23 cm |
Staff View
MARC
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| 100 | 1 | |a Hockett, Charles Francis |d 1916-2000 |0 (DE-588)133702677 |4 aut | |
| 245 | 1 | 0 | |a Language, mathematics and linguistics |c by Charles F. Hockett |
| 264 | 1 | |a The Hague ; Paris |b Mouton |c 1967 | |
| 300 | |a 243 Seiten |b graphische Darstellungen |c 23 cm | ||
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| 490 | 1 | |a Janua linguarum : Series minor |v 60 | |
| 500 | |a Frühere Ausg. erschien in: Current Trends in linguistics, Vol. 3 | ||
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Record in the Search Index
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|---|---|
| adam_text | TABLE
OF
CONTENTS
Preface
....................... 5
1.
Mathematical Background
............ 15
1.0.
Some Cautions to Linguists
.......... 15
1.1.
Ordered and Unordered Sets
.......... 17
1.2.
Elements and Sets
............... 17
1.3.
Abstraction, Notation, Abbreviation
....... 19
1.4.
Variables and Domains
............ 23
1.5.
Relations among Sets
............. 24
1.6.
Associations, Functions, Correspondences
.... 25
1.7.
Cardinality
.................. 29
1.8.
Systems
................... 30
1.9.
Properties of Binary Relations and Operations
. . 34
1.10.
Isomorphism
................ 37
1.11.
Recursive and Recursively Enumerable Sets
... 41
1.12.
Model and Exemplification
........... 47
2.
Linear Generative Grammars
........... 51
2.0.
Semigroups, Monoids, Harps, and Grammars
. . . 51
2.1.
Linear Generative Grammars
.......... 59
2.2.
Kinds of Rules
................ 62
2.3.
Source and Transducer; Effective Rule Chains
. . 71
2.4.
Generation and Duality
............ 76
3.
Stepmatrices
................... 81
3.0.
The First Inadequacy of Linear Grammars
. ... 81
3.1.
Stepmatrices
................. 84
12
TABLE OF CONTENTS
3.2.
Some Empirical Considerations
......... 88
3.3.
The Three Formats for Problem Two
...... 93
3.4.
The Rewrite Format
.............. 94
3.5.
Rewrite Rules for Potawatomi Morphophonemics
95
3.6.
The Rewrite Format: Discussion
........ 104
3.7.
The Realizational Format
........... 105
3.8.
Realizational Rules for Potawatomi Morphopho¬
nemics
.................... 107
3.9.
Stepmatricial Grammars and the Stepmatricial
Format
................... 114
3.10.
Comparison and Summary
........... 116
4.
From Phonons to the Speech Signal
........ 123
4.1.
Non-Probabilistic Approximation
........ 123
4.2.
Introducing Probability
............ 127
4.3.
Paralinguistic and Idiosyncratic Effects
...... 129
4.4.
Distinctive Features; Sound Change
....... 130
4.5.
Phonons and Distinctive Features
........ 132
5.
Binary Tree Grammars
.............. 134
5.0.
The Second Inadequacy of Linear Grammars
. . . 134
5.1.
The Ordered Pair and Unordered Pair Procedures
. 136
5.2.
Trees
.................... 138
5.3.
Binary Tree Grammars
............ 143
5.4.
Linearizing Input to a Tree Grammar
...... 144
5.5.
The Time Bomb Method
............ 149
5.6.
Summary
.................. 153
6.
Conversion Grammars
............... 155
6.0.
Nonlinear Inputs
............... 155
6.1.
Finite Networks
............... 155
6.2.
Conversion Grammars
............. 161
6.3.
Generalized Rewrite Rules
........... 163
6.4.
An Application of Generalized Rewrite Rules
. . . 165
6.5.
The Stratificational Model
........... 170
6.6.
Architectonic Comparison of the Models
..... 174
TABLE
OF
CONTENTS
13
6.7.
Semons and Semon Networks
.......... 178
6.8.
From
Semons
to
Lexons
............ 188
7.
Ensembles
of Grammars..............
196
7.0.
Introductory; The Problems of Scope and Relation¬
ship
..................... 196
7.1.
Groups
................... 198
7.2.
Categories
.................. 206
7.3.
Categories of Conversion Grammars
....... 209
7.4.
Grammars from Silence to Silence
........ 216
7.5.
Other Applications
.............. 219
Appendix
...................... 224
References
..................... 227
Index
........................ 231
|
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| author | Hockett, Charles Francis 1916-2000 |
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| discipline | Sprachwissenschaft Mathematik Philosophie Literaturwissenschaft |
| format | Book |
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| id | DE-604.BV005641225 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:32:33Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003525564 |
| oclc_num | 231397701 |
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| physical | 243 Seiten graphische Darstellungen 23 cm |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Mouton |
| record_format | marc |
| series | Janua linguarum |
| series2 | Janua linguarum : Series minor |
| spelling | Hockett, Charles Francis 1916-2000 (DE-588)133702677 aut Language, mathematics and linguistics by Charles F. Hockett The Hague ; Paris Mouton 1967 243 Seiten graphische Darstellungen 23 cm txt rdacontent n rdamedia nc rdacarrier Janua linguarum : Series minor 60 Frühere Ausg. erschien in: Current Trends in linguistics, Vol. 3 Mathematische Linguistik (DE-588)4037950-4 gnd rswk-swf Mathematische Linguistik (DE-588)4037950-4 s DE-604 Janua linguarum Series minor ; 60 (DE-604)BV023552230 60 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003525564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hockett, Charles Francis 1916-2000 Language, mathematics and linguistics Janua linguarum Mathematische Linguistik (DE-588)4037950-4 gnd |
| subject_GND | (DE-588)4037950-4 |
| title | Language, mathematics and linguistics |
| title_auth | Language, mathematics and linguistics |
| title_exact_search | Language, mathematics and linguistics |
| title_full | Language, mathematics and linguistics by Charles F. Hockett |
| title_fullStr | Language, mathematics and linguistics by Charles F. Hockett |
| title_full_unstemmed | Language, mathematics and linguistics by Charles F. Hockett |
| title_short | Language, mathematics and linguistics |
| title_sort | language mathematics and linguistics |
| topic | Mathematische Linguistik (DE-588)4037950-4 gnd |
| topic_facet | Mathematische Linguistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003525564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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