Verfügbarkeit: Mathematics and beauty

Mathematics and beauty: an attempt to link the cognitive and philosophical-spiritual aspects of beauty

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Bibliographische Detailangaben
Hauptverfasser:	Démuth, Andrej 1974- (VerfasserIn), Démuthova, Slávka 1976- (VerfasserIn), Slavkovský, Adrián 1963- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin ; Bern ; Wien Peter Lang [2019] Bratislava Veda [2019]
Schriftenreihe:	Spectrum Slovakia series volume 30
Schlagworte:	Ästhetik Mathematik Schönheit Adrián Aesthetics Andrej Aspects Attempt Beauty Cognitive Démuth Démuthová Epistemology Link Mathematics Neuroaesthetics Philosophical Philosophy Psychology Slávka Slavkovský Spiritual VEDA
Online-Zugang:	Inhaltstext https://www.peterlang.com/view/product/95834?format=HC Inhaltsverzeichnis Inhaltsverzeichnis
Beschreibung:	160 Seiten 25 cm, 382 g
ISBN:	9783631794883 9788022417648

Internformat

MARC


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Datensatz im Suchindex

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adam_text	CONTENTS 1. INTRODUCTION - LET NONE BUT THE GEOMETRIE ENTER H E RE ............................................... 7 2. MATHEMATICS AS SEEKING SYM M ETRY................................................................................11 2.1. TRIVIAL AND NON-TRIVIAL PROOFS..................................................................................... 15 2.2. SYM M ETRY.....................................................................................................................20 2.2.1. THE ATTRACTIVENESS OF SYMMETRY....................................................................24 2.2.2. SYMMETRY IN MATHEMATICS..............................................................................29 2.3. KNOWLEDGE - THE METAPHOR OF SYMMETRY...............................................................32 3. BEAUTY AS A CALCULATION..................................................................................................... 35 3.1. COMPUTATIONAL AESTHETICS......................................................................................... 38 3.2. PERCEPTION AS A CALCULATION....................................................................................... 46 3.3. BEAUTY AS A CALCULATION WITH AN UNCLEAR SOLUTION ALGORITHM ............................... 50 3.3.1. CALCULATIONS OF THE BEAUTY OF HUMAN FACES...............................................51 3.3.1.1. THE HISTORY OF THE EXAMINATION OF FACIAL PARAMETERS ................. 51 3.3.1.2. APPLYING THE GOLDEN R ATIO .............................................................. 53 3.3.1.3. APPLYING THE IDEAOF THE A VERAGE..................................................57 3.3.1.4. APPLYING THE IDEA OF SYMMETRY.....................................................60 3.3.1.5. CONTEMPORARY RESEARCH INTO BEAUTIFUL FACE ............................... 64 3.3.2. IDEAL AND COMPOSITE IM A G E ...........................................................................68 3.3.3. TASTE AND THE CALCULATION OF AVERAGE VALUES FOR OPINIONS.......................72 3.3.4. AESTHETIC VALUE AND THE CALCULATION OF REWARDS........................................76 3.4. PRELIMINARY SUMMARY................................................................................................. 82 4. PHILOSOPHICAL QUESTIONS ASSOCIATED WITH THE MATHEMATICS OF BEAUTY......................85 4.1. THE METAPHYSICAL STATUS OF BEAUTY...................................................................... 88 4.2. WHY DO WE MATHEMATICIZE?................................................................................... 90 4.3. WHY DO WEPERCEIVE BEAUTY?................................................................................. 93 4.4. BIOLOGICAL SOURCES OF MATHEMATICAL AND ARTISTIC BEAUTY ................................... 98 4.5 THE METAPHYSICAL MEANING OF BEAUTY.................................................................... 104 5. LEARNING TO PERCEIVE...........................................................................................................111 5.1. THE BEAUTY OF MATHEMATICAL TRICKS ......................................................................... 113 5.2. ARE MATHEMATICAL IDEAS SOME OF THE MOSTTRANSFORMATIVE AND BEAUTIFUL IN HISTORY?................................................................................................................... 118 5.3. DEVELOPMENTS IN MATHEMATICS, THE TRANSCENDENCE OF PREVIOUS LEVELS AND BEAUTY..................................................................................................................121 5.4. DISPUTES IN M ATHEM ATICS ......................................................................................... 125 5.5. FASCINATED BY IDEAS................................................................................................... 127 6. CONCLUSIONS.........................................................................................................................131 7. REFERENCES............................................................................................................................141 8. ABOUT AUTHORS 157
any_adam_object	1
author	Démuth, Andrej 1974- Démuthova, Slávka 1976- Slavkovský, Adrián 1963-
author_GND	(DE-588)111629270X (DE-588)1201391164 (DE-588)1208351494
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author_role	aut aut aut
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building	Verbundindex
bvnumber	BV046408872
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ctrlnum	(OCoLC)1125352773 (DE-599)DNB1197718001
discipline	Mathematik Philosophie
format	Book
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spelling	Démuth, Andrej 1974- Verfasser (DE-588)111629270X aut Mathematics and beauty an attempt to link the cognitive and philosophical-spiritual aspects of beauty authors: Andrej Démuth, Slávka Démuthová, Adrián Slavkovský Berlin ; Bern ; Wien Peter Lang [2019] Bratislava Veda [2019] 160 Seiten 25 cm, 382 g txt rdacontent n rdamedia nc rdacarrier Spectrum Slovakia series volume 30 Ästhetik (DE-588)4000626-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Schönheit (DE-588)4053125-9 gnd rswk-swf Adrián Aesthetics Andrej Aspects Attempt Beauty Cognitive Démuth Démuthová Epistemology Link Mathematics Neuroaesthetics Philosophical Philosophy Psychology Slávka Slavkovský Spiritual VEDA Mathematik (DE-588)4037944-9 s Schönheit (DE-588)4053125-9 s Ästhetik (DE-588)4000626-8 s DE-604 Démuthova, Slávka 1976- Verfasser (DE-588)1201391164 aut Slavkovský, Adrián 1963- Verfasser (DE-588)1208351494 aut Peter Lang GmbH (DE-588)1065711506 pbl Erscheint auch als Online-Ausgabe, EPUB 978-3-631-79490-6 Erscheint auch als Online-Ausgabe, MOBI 978-3-631-79491-3 Erscheint auch als Online-Ausgabe 978-3-631-79489-0 Spectrum Slovakia series volume 30 (DE-604)BV042067818 30 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2bf49181edf54ce18509e29cb5f9368d&prov=M&dok_var=1&dok_ext=htm Inhaltstext X:MVB https://www.peterlang.com/view/product/95834?format=HC B:DE-101 application/pdf https://d-nb.info/1197718001/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031821522&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Démuth, Andrej 1974- Démuthova, Slávka 1976- Slavkovský, Adrián 1963- Mathematics and beauty an attempt to link the cognitive and philosophical-spiritual aspects of beauty Spectrum Slovakia series Ästhetik (DE-588)4000626-8 gnd Mathematik (DE-588)4037944-9 gnd Schönheit (DE-588)4053125-9 gnd
subject_GND	(DE-588)4000626-8 (DE-588)4037944-9 (DE-588)4053125-9
title	Mathematics and beauty an attempt to link the cognitive and philosophical-spiritual aspects of beauty
title_auth	Mathematics and beauty an attempt to link the cognitive and philosophical-spiritual aspects of beauty
title_exact_search	Mathematics and beauty an attempt to link the cognitive and philosophical-spiritual aspects of beauty
title_full	Mathematics and beauty an attempt to link the cognitive and philosophical-spiritual aspects of beauty authors: Andrej Démuth, Slávka Démuthová, Adrián Slavkovský
title_fullStr	Mathematics and beauty an attempt to link the cognitive and philosophical-spiritual aspects of beauty authors: Andrej Démuth, Slávka Démuthová, Adrián Slavkovský
title_full_unstemmed	Mathematics and beauty an attempt to link the cognitive and philosophical-spiritual aspects of beauty authors: Andrej Démuth, Slávka Démuthová, Adrián Slavkovský
title_short	Mathematics and beauty
title_sort	mathematics and beauty an attempt to link the cognitive and philosophical spiritual aspects of beauty
title_sub	an attempt to link the cognitive and philosophical-spiritual aspects of beauty
topic	Ästhetik (DE-588)4000626-8 gnd Mathematik (DE-588)4037944-9 gnd Schönheit (DE-588)4053125-9 gnd
topic_facet	Ästhetik Mathematik Schönheit
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