Discovery in mathematics: an interdisciplinary perspective
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
München
LINCOM EUROPA
2013
|
| Series: | Interdisciplinary studies on the nature of mathematics
2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Literaturverz. S. 165 - 175 |
| Physical Description: | 180 S. Ill., graph. Darst. |
| ISBN: | 9783862883974 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Table of Contents
Introduction
5
List of Figures
6
1
Discovery, Invention, Proof
9
1.1
Discovery
12
1.2
Invention
30
1.3
Proof
34
1.4
Mathematical Hermeneutics
45
2
Notation and Compression
49
2.1
Notation
50
2.2
Symbology
59
2.3
Binarism
66
2.4
Principle of Least Effort
77
3
Diagrams and Modeling
87
3.1
Diagrams
88
3.2
Existential Graphs
96
3.3
Layouts and the Rebus Principle
100
3.4
Models
105
4
Induction, Deduction, and Abduction
120
4.1 Mythos
versus Logos
121
4.2
Induction, Contradiction, and Exploration
132
4.3
Deduction
141
4.4
Abduction
144
5
Mathematics, Science, and Reality
148
5.1
Science
149
5.2
Falsification
154
5.3
Reality
156
5.4
Concluding Remarks
163
References
165
Index
176
This book examines the nature of discovery of mathematics and how
it is connected to notation, representation, and language. Using
insights from modeling systems theory in semiotics and blending
theory in cognitive science, it puts forward the idea that discovery is
interconnected with representation, with one model providing
into deeper structures hidden or implicit in the models
th#fflwlv#0, It wiil look in particular at how diagrammatic reasoning
how mathematicians think and how this, in itself, is a
ideas and conceptualizations in the field, leading to
ttow modfls, new theories, branches, and so on.
|
| any_adam_object | 1 |
| author | Danesi, Marcel 1946- |
| author_GND | (DE-588)137512724 |
| author_facet | Danesi, Marcel 1946- |
| author_role | aut |
| author_sort | Danesi, Marcel 1946- |
| author_variant | m d md |
| building | Verbundindex |
| bvnumber | BV041641988 |
| classification_rvk | SK 110 |
| ctrlnum | (OCoLC)873472746 (DE-599)HBZHT017480596 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV041641988 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:01:36Z |
| institution | BVB |
| isbn | 9783862883974 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027082769 |
| oclc_num | 873472746 |
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| physical | 180 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | LINCOM EUROPA |
| record_format | marc |
| series | Interdisciplinary studies on the nature of mathematics |
| series2 | Interdisciplinary studies on the nature of mathematics |
| spelling | Danesi, Marcel 1946- Verfasser (DE-588)137512724 aut Discovery in mathematics an interdisciplinary perspective Marcel Danesi München LINCOM EUROPA 2013 180 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Interdisciplinary studies on the nature of mathematics 2 Literaturverz. S. 165 - 175 Entdeckung (DE-588)4014841-5 gnd rswk-swf Kreatives Denken (DE-588)4165549-7 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Interdisziplinarität (DE-588)4449808-1 gnd rswk-swf Mathematik (DE-588)4037944-9 s Kreatives Denken (DE-588)4165549-7 s DE-604 Entdeckung (DE-588)4014841-5 s Interdisziplinarität (DE-588)4449808-1 s b DE-604 Interdisciplinary studies on the nature of mathematics 2 (DE-604)BV040662625 2 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027082769&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027082769&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Danesi, Marcel 1946- Discovery in mathematics an interdisciplinary perspective Interdisciplinary studies on the nature of mathematics Entdeckung (DE-588)4014841-5 gnd Kreatives Denken (DE-588)4165549-7 gnd Mathematik (DE-588)4037944-9 gnd Interdisziplinarität (DE-588)4449808-1 gnd |
| subject_GND | (DE-588)4014841-5 (DE-588)4165549-7 (DE-588)4037944-9 (DE-588)4449808-1 |
| title | Discovery in mathematics an interdisciplinary perspective |
| title_auth | Discovery in mathematics an interdisciplinary perspective |
| title_exact_search | Discovery in mathematics an interdisciplinary perspective |
| title_full | Discovery in mathematics an interdisciplinary perspective Marcel Danesi |
| title_fullStr | Discovery in mathematics an interdisciplinary perspective Marcel Danesi |
| title_full_unstemmed | Discovery in mathematics an interdisciplinary perspective Marcel Danesi |
| title_short | Discovery in mathematics |
| title_sort | discovery in mathematics an interdisciplinary perspective |
| title_sub | an interdisciplinary perspective |
| topic | Entdeckung (DE-588)4014841-5 gnd Kreatives Denken (DE-588)4165549-7 gnd Mathematik (DE-588)4037944-9 gnd Interdisziplinarität (DE-588)4449808-1 gnd |
| topic_facet | Entdeckung Kreatives Denken Mathematik Interdisziplinarität |
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