Elements of intuitionism:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Press
2000
|
| Edition: | 2. ed. |
| Series: | Oxford logic guides
39 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XII, 331 S. graph. Darst. |
| ISBN: | 0198505248 |
Staff View
MARC
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| 245 | 1 | 0 | |a Elements of intuitionism |c Michael Dummett |
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| 300 | |a XII, 331 S. |b graph. Darst. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Oxford logic guides |v 39 | |
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| 650 | 7 | |a Bewijstheorie |2 gtt | |
| 650 | 7 | |a Intuitionistische Mathematik |2 swd | |
| 650 | 7 | |a Intuïtionisme |2 gtt | |
| 650 | 7 | |a Realiseerbaarheid (wiskunde) |2 gtt | |
| 650 | 7 | |a Semantiek |2 gtt | |
| 650 | 4 | |a Semantik | |
| 650 | 4 | |a Intuitionistic mathematics | |
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Record in the Search Index
| _version_ | 1804128031824936960 |
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| adam_text | 1
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CONTENTS
Introductory remarks
P reliminar ies
1.1 Constructive proof
1.2 The meanings of the logical constants
1.3 Examples of logical principles
1.4 Functional completeness
Elementary intuitionistic mathematics
2.1 Intuitionistic arithmetic
2.2 Real numbers
2.3 Order relations
2.4 The Axiom of Choice
Choice sequences and spreads
3.1 The notion of infinity
3.2 The fan theorem and bar induction
3.3 The continuity principle
3.4 Brouwer’s proof of the Bar Theorem
3.5 The representation of continuous functionals
3.6 The uniform continuity theorem
The formalization of intuitionistic logic
4.1 Natural deduction
4.2 The sequent calculus
4.3 Cut-elimination
4.4 Decidability of intuitionistic sentential logic
4.5 Normalization
The semantics of intuitionistic logic
5.1 Valuation systems
5.2 Lattices and the finite model property
5.3 Topological spaces: PO-spaces
5.4 Beth trees
5.5 The semantics of intuitionistic predicate logic
5.6 The completeness of intuitionistic predicate logic
5.7 Generalized Beth trees
5.8 Compactness
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CONTENTS
Some fuxtlaer topics
6.1 Intuitionistic formal systems
6.2 Realizability
6.3 The creative subject
Cone hiding philosophical remarks
7.1 Philosophical foundation of constructive mathematics
7.2 The notion of a proof
7.3 Partial functions
7.4 Logical constants as represented on Beth trees
7.5 The notion of a choice sequence
Bibliography
Books
Articles
Index of Notation
Index
|
| any_adam_object | 1 |
| author | Dummett, Michael 1925-2011 |
| author_GND | (DE-588)118956477 |
| author_facet | Dummett, Michael 1925-2011 |
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| author_variant | m d md |
| building | Verbundindex |
| bvnumber | BV013266134 |
| callnumber-first | Q - Science |
| callnumber-label | QA9 |
| callnumber-raw | QA9.47 |
| callnumber-search | QA9.47 |
| callnumber-sort | QA 19.47 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | CI 6404 SK 130 |
| ctrlnum | (OCoLC)42835662 (DE-599)BVBBV013266134 |
| dewey-full | 511/.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.22 |
| dewey-search | 511/.22 |
| dewey-sort | 3511 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV013266134 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:42:47Z |
| institution | BVB |
| isbn | 0198505248 |
| language | English |
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| physical | XII, 331 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Clarendon Press |
| record_format | marc |
| series | Oxford logic guides |
| series2 | Oxford logic guides Oxford science publications |
| spelling | Dummett, Michael 1925-2011 Verfasser (DE-588)118956477 aut Elements of intuitionism Michael Dummett 2. ed. Oxford Clarendon Press 2000 XII, 331 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford logic guides 39 Oxford science publications Hier auch später erschienene, unveränderte Nachdrucke Bewijstheorie gtt Intuitionistische Mathematik swd Intuïtionisme gtt Realiseerbaarheid (wiskunde) gtt Semantiek gtt Semantik Intuitionistic mathematics Intuitionistische Mathematik (DE-588)4162200-5 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Intuitionistische Mathematik (DE-588)4162200-5 s DE-604 Mathematische Logik (DE-588)4037951-6 s 1\p DE-604 Oxford logic guides 39 (DE-604)BV000013997 39 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009043976&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dummett, Michael 1925-2011 Elements of intuitionism Oxford logic guides Bewijstheorie gtt Intuitionistische Mathematik swd Intuïtionisme gtt Realiseerbaarheid (wiskunde) gtt Semantiek gtt Semantik Intuitionistic mathematics Intuitionistische Mathematik (DE-588)4162200-5 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| subject_GND | (DE-588)4162200-5 (DE-588)4037951-6 |
| title | Elements of intuitionism |
| title_auth | Elements of intuitionism |
| title_exact_search | Elements of intuitionism |
| title_full | Elements of intuitionism Michael Dummett |
| title_fullStr | Elements of intuitionism Michael Dummett |
| title_full_unstemmed | Elements of intuitionism Michael Dummett |
| title_short | Elements of intuitionism |
| title_sort | elements of intuitionism |
| topic | Bewijstheorie gtt Intuitionistische Mathematik swd Intuïtionisme gtt Realiseerbaarheid (wiskunde) gtt Semantiek gtt Semantik Intuitionistic mathematics Intuitionistische Mathematik (DE-588)4162200-5 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| topic_facet | Bewijstheorie Intuitionistische Mathematik Intuïtionisme Realiseerbaarheid (wiskunde) Semantiek Semantik Intuitionistic mathematics Mathematische Logik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009043976&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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