Philosophy of mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Delhi, India
Global Vision Publishing House
2017
|
| Ausgabe: | Second edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | vi, 152 pages illustrations (black and white) 23 cm |
| ISBN: | 9788182209114 8182209110 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | Philosophy of Mathematics
(vi)
Beginning with Leibniz, the focus shifted strongly to the
relationship between mathematics and logic. This view dominated
the philosophy of mathematics through the time of Frege and of
Russell, but was brought into question by developments in the late
19th and early 20th century.
This book provides an introduction to the major issues in the
philosophy of mathematics, and the historically important views
on these issues. Some familiarity with mathematics is a prerequisite
for thinking about these issues. This edition is a brilliant exposition
of the historico-conceptual development mathematical philosophy.
This edition is intended for laymen, but none of the essence of the
philosophy of mathematics has been omitted; it is not a simple
book, but it is rewarding.
CONTENTS
Preface (v)
1. Introduction 1
2. Foundations Philosophy 21
3. Historical Development 25
4. Mathematical Beauty 47
5. Godel’s Incompleteness Theorems 53
6. Axiomatic System 73
7. Axiomatic Set Theory 77
8. Axiom of Choice 87
9. Category Theory 101
10. Constructivism 111
11. Intuitionism 119
12. Mathematical Proof 133
Bibliography 139
Index 149
This book provides an
introduction to the major
issues in the philosophy of
mathematics, and the
historically important views
on these issues. Some
familiarity with mathemat-
ics is a prerequisite for
thinking about these issues.
This edition is a brilliant
exposition of the historical
and conceptual develop-
ment mathematical philoso-
phy. This edition is intended
for laymen, but none of the
essence of the philosophy of
mathematics has been
omitted; it is not a simple
book, but it is rewarding.
John Francis wa
researcher of Mathematic
Philosophy at Purdu
University. He received
B.S. from Queens Colleg
in New York City, an M.A
from Columbia, and doin
Ph.D. in Stanford. Sh
taught at Oregon am
Michigan State before
coming to Purdue. Francis
was the author of more than
20 papers related to
philosophy of Mathematics.
|
| any_adam_object | 1 |
| author | Francis, John |
| author_facet | Francis, John |
| author_role | aut |
| author_sort | Francis, John |
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| building | Verbundindex |
| bvnumber | BV044489387 |
| classification_rvk | SG 700 |
| ctrlnum | (OCoLC)1028896500 (DE-599)BVBBV044489387 |
| discipline | Mathematik |
| edition | Second edition |
| format | Book |
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| id | DE-604.BV044489387 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:54:21Z |
| institution | BVB |
| isbn | 9788182209114 8182209110 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029889374 |
| oclc_num | 1028896500 |
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| owner | DE-703 |
| owner_facet | DE-703 |
| physical | vi, 152 pages illustrations (black and white) 23 cm |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Global Vision Publishing House |
| record_format | marc |
| spelling | Francis, John Verfasser aut Philosophy of mathematics John Francis Second edition New Delhi, India Global Vision Publishing House 2017 vi, 152 pages illustrations (black and white) 23 cm txt rdacontent n rdamedia nc rdacarrier Mathematik Philosophie Mathematik (DE-588)4037944-9 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematics / Philosophy Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029889374&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029889374&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Francis, John Philosophy of mathematics Mathematik Philosophie Mathematik (DE-588)4037944-9 gnd Philosophie (DE-588)4045791-6 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4045791-6 |
| title | Philosophy of mathematics |
| title_auth | Philosophy of mathematics |
| title_exact_search | Philosophy of mathematics |
| title_full | Philosophy of mathematics John Francis |
| title_fullStr | Philosophy of mathematics John Francis |
| title_full_unstemmed | Philosophy of mathematics John Francis |
| title_short | Philosophy of mathematics |
| title_sort | philosophy of mathematics |
| topic | Mathematik Philosophie Mathematik (DE-588)4037944-9 gnd Philosophie (DE-588)4045791-6 gnd |
| topic_facet | Mathematik Philosophie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029889374&sequence=000001&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=029889374&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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