Logic and structure:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Ausgabe: | 4. ed. |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 263 S. graph. Darst. |
| ISBN: | 9783540208792 3540208798 |
Internformat
MARC
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| 245 | 1 | 0 | |a Logic and structure |c Dirk van Dalen |
| 250 | |a 4. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
| 300 | |a X, 263 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Universitext | |
| 650 | 4 | |a Mathematische Logik - Lehrbuch | |
| 650 | 4 | |a Logic, Symbolic and mathematical | |
| 650 | 0 | 7 | |a Mathematische Logik |0 (DE-588)4037951-6 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-012957978 | ||
Datensatz im Suchindex
| _version_ | 1804132996233560064 |
|---|---|
| adam_text | Contents
0
Introduction
............................................... 1
1
Propositional Logic
........................................ 5
1.1
Propositions
and Connectives
............................. 5
1.2
Semantics..............................................
15
1.3
Some Properties of
Propositional
logic
..................... 21
1.4
Natural Deduction
....................................... 30
1.5
Completeness
........................................... 40
1.6
The Missing Connectives
................................. 49
2
Predicate Logic
............................................ 57
2.1
Quantifiers
............................................. 57
2.2
Structures
.............................................. 58
2.3
The Language of a Similarity Type
........................ 60
2.4
Semantics
.............................................. 68
2.5
Simple Properties of Predicate Logic
....................... 73
2.6
Identity
................................................ 81
2.7
Examples
............................................... 83
2.8
Natural Deduction
....................................... 91
2.9
Adding the Existential Quantifier
.......................... 96
2.10
Natural Deduction and Identity
........................... 99
3
Completeness and Applications
............................103
3.1
The Completeness Theorem
...............................103
3.2
Compactness and
Skolem-Löwenheim......................
Ill
3.3
Some Model Theory
.....................................118
3.4
Skolern Functions or How to Enrich Your Language
..........135
4
Second Order Logic
........................................143
X Contents
5
Intuitioriistic Logic
........................................15.4
5.1
Constructive Reasoning
..................................153
5.2
Intuitioriistic Propositional and Predicate Logic
............. 156
5.3
К
гірко
Semantics
........................................162
5.4
Some Model Theory
.....................................173
6
Normalisation
.............................................187
G.I Cuts
...................................................187
6.2
Normalization for Classical Logic
..........................192
6.3
Normalization for Intuitionistie Logic
......................198
7
Gödel s
theorem
...........................................209
7.1
Primitive recursive functions
..............................209
7.2
Partial Recursive Functions
...............................218
7.3
Recursively enumerable sets
..............................230
7.4
Some arithmetic
.......................................· .236
7.5
Representability
.........................................242
7.6
Derivability
............................................ 246
7.7
Incompleteness
..........................................251
Bibliography
...................................................257
Index
..........................................................259
|
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| classification_rvk | SK 130 |
| ctrlnum | (OCoLC)249146242 (DE-599)BVBBV019628802 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 4. ed. |
| format | Book |
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| genre_facet | Lehrbuch |
| id | DE-604.BV019628802 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:01:41Z |
| institution | BVB |
| isbn | 9783540208792 3540208798 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012957978 |
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| physical | X, 263 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Dalen, Dirk van 1932- Verfasser (DE-588)133205053 aut Logic and structure Dirk van Dalen 4. ed. Berlin [u.a.] Springer 2004 X, 263 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext Mathematische Logik - Lehrbuch Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Mathematische Logik (DE-588)4037951-6 s DE-604 Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012957978&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dalen, Dirk van 1932- Logic and structure Mathematische Logik - Lehrbuch Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd |
| subject_GND | (DE-588)4037951-6 (DE-588)4123623-3 |
| title | Logic and structure |
| title_auth | Logic and structure |
| title_exact_search | Logic and structure |
| title_full | Logic and structure Dirk van Dalen |
| title_fullStr | Logic and structure Dirk van Dalen |
| title_full_unstemmed | Logic and structure Dirk van Dalen |
| title_short | Logic and structure |
| title_sort | logic and structure |
| topic | Mathematische Logik - Lehrbuch Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd |
| topic_facet | Mathematische Logik - Lehrbuch Logic, Symbolic and mathematical Mathematische Logik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012957978&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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