Brouwer's Cambridge lectures on intuitionism:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1981
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 109 S. Ill. |
| ISBN: | 0521234417 |
Staff View
MARC
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| 245 | 1 | 0 | |a Brouwer's Cambridge lectures on intuitionism |c ed. by D. van Dalen |
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| 300 | |a XII, 109 S. |b Ill. | ||
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Record in the Search Index
| _version_ | 1827744895281922048 |
|---|---|
| adam_text |
Contents
L. E. J. Brouwer frontispiece
Editorial preface page vii
1 HISTORICAL INTRODUCTION AND FUNDAMENTAL 1
NOTIONS
Discussion of formalism and pre intuitionism;
first and second acts of intuitionism; fleeing
properties; species, basic notions; principles of
judgeability and reciprocity; i i~i = ~i;
spreads, basic notions
2 GENERAL PROPERTIES OF SPECIES, SPREAD 21
DIRECTIONS, SPREADS AND SPACES
Blocks, pyramids, etc.; weak forms of union;
cardinal numbers; individualized spreads; Car¬
tesian spaces (RH); basic topological notions,
points of closure, accumulation, etc.; compact¬
ness, locatedness; characterization of compact
located species; located infinite species F
3 order 40
Basic notions; intuitive between does not
order the continuum; well ordered species;
marked well ordered species; mathematical de¬
ductions; well ordered blocks, stumps; virtual
order, inextensible order
v
vi Contents
4 PRECISION ANALYSIS OF THE CONTINUUM 57
Intercalation subdivision; first order precision,
second order precision; ordinal density, separ¬
ability, connectedness, every where density,
local compactness
5 THE BUNCH THEOREM 77
Crude blocks contain well ordered blocks;
bunch (fan) theorem; uniform continuity theo¬
rem; Heine Borel theorem; unsplittability of
the continuum; unorderability of the
continuum.
Appendix 90
Notes 95
References 103
Index 107 |
| any_adam_object | 1 |
| author | Brouwer, Luitzen E. J. 1881-1966 |
| author_GND | (DE-588)118988131 (DE-588)133205053 |
| author_facet | Brouwer, Luitzen E. J. 1881-1966 |
| author_role | aut |
| author_sort | Brouwer, Luitzen E. J. 1881-1966 |
| author_variant | l e j b lej lejb |
| building | Verbundindex |
| bvnumber | BV001998118 |
| 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 | CC 2600 SG 700 SK 130 |
| ctrlnum | (OCoLC)7197000 (DE-599)BVBBV001998118 |
| dewey-full | 511/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.2 |
| dewey-search | 511/.2 |
| dewey-sort | 3511 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV001998118 |
| illustrated | Illustrated |
| indexdate | 2025-03-27T11:02:43Z |
| institution | BVB |
| isbn | 0521234417 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001303363 |
| oclc_num | 7197000 |
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| physical | XII, 109 S. Ill. |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Brouwer, Luitzen E. J. 1881-1966 Verfasser (DE-588)118988131 aut Brouwer's Cambridge lectures on intuitionism ed. by D. van Dalen Cambridge lectures on intuitionism 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1981 XII, 109 S. Ill. txt rdacontent n rdamedia nc rdacarrier Intuïtionisme gtt Mathématiques intuitionnistes Mathématiques intuitionnistes ram Wiskunde gtt Mathematik Intuitionistic mathematics Intuitionistische Mathematik (DE-588)4162200-5 gnd rswk-swf Intuitionistische Mathematik (DE-588)4162200-5 s DE-604 Dalen, Dirk van 1932- Sonstige (DE-588)133205053 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001303363&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brouwer, Luitzen E. J. 1881-1966 Brouwer's Cambridge lectures on intuitionism Intuïtionisme gtt Mathématiques intuitionnistes Mathématiques intuitionnistes ram Wiskunde gtt Mathematik Intuitionistic mathematics Intuitionistische Mathematik (DE-588)4162200-5 gnd |
| subject_GND | (DE-588)4162200-5 |
| title | Brouwer's Cambridge lectures on intuitionism |
| title_alt | Cambridge lectures on intuitionism |
| title_auth | Brouwer's Cambridge lectures on intuitionism |
| title_exact_search | Brouwer's Cambridge lectures on intuitionism |
| title_full | Brouwer's Cambridge lectures on intuitionism ed. by D. van Dalen |
| title_fullStr | Brouwer's Cambridge lectures on intuitionism ed. by D. van Dalen |
| title_full_unstemmed | Brouwer's Cambridge lectures on intuitionism ed. by D. van Dalen |
| title_short | Brouwer's Cambridge lectures on intuitionism |
| title_sort | brouwer s cambridge lectures on intuitionism |
| topic | Intuïtionisme gtt Mathématiques intuitionnistes Mathématiques intuitionnistes ram Wiskunde gtt Mathematik Intuitionistic mathematics Intuitionistische Mathematik (DE-588)4162200-5 gnd |
| topic_facet | Intuïtionisme Mathématiques intuitionnistes Wiskunde Mathematik Intuitionistic mathematics Intuitionistische Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001303363&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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