How our emotions and bodies are vital for abstract thought: perfect mathematics for imperfect minds
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London ; New York
Routledge
2018
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references |
| Physical Description: | xvii, 218 Seiten Illustrationen, Diagramme |
| ISBN: | 9781138565845 9781138565869 |
Staff View
MARC
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| 245 | 1 | 0 | |a How our emotions and bodies are vital for abstract thought |b perfect mathematics for imperfect minds |c Anna Sverdlik ; translated by Shelley Fairweather-Vega |
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Record in the Search Index
| _version_ | 1804178747889287168 |
|---|---|
| adam_text | CONTENTS
List of figures xi
Preface xiii
1. The unreasonable effectiveness of mathematics 1
From Plato till now 1
What makes math different 6
The rise and fall of formal mathematics 8
Are smart machines really so smart? 11
Intuition as a vital tool for mental labor 17
Where mathematics comes from 21
Summary 26
References and further reading 29
2. Why logic is never ideal 31
Internal and external: the autonomic and somatic nervous
systems 31
Why our insides are outside our control 35
Big benefits in a small world: the brain and graph theory 38
Mapping the cortex 42
Cortical communication 48
Neuroanatomy and algorithmic thought 49
The number sense 53
Modem studies of numerical cognition 55
How your brain creates analogies 57
How appearances deceive the intellect 60
vHi Contents
Summary 63
References and further reading 65
3. Working memory and logical limitations 67
The cognitive cortex and cognitive cliches 67
The computer as psychologist 69
Working memory at the forefront of consciousness 72
Where the working memory gets information 77
What we sacrifice for abstract thought 79
A farewell to mathematical Platonism? 83
Are numbers absolutely precise? 89
Summary 91
References and further reading 92
4. Overpowered by emotion 95
The triune brain 95
An emotional history 96
What we can learn from animals 99
Expressing our feelings in the dry language of science 102
In the beginning was the body 105
The feelings behind the intellect 107
Antidepressants and existentialism 108
Emotion and motivation 112
When a brilliant mind gives up 116
An intellect ruled by passion 118
Summary 122
References and further reading 123
5. From cognition to recognition and back again 125
On knowing, not knowing, and what lies between 125
Narrowing down the problem 127
The facts we have to work with 130
How a dog is not like a crocodile 132
Facial recognition 135
Haven t we met somewhere before? 139
Bodily memory 140
Alone among friends 144
When even your thoughts are not your own 147
The neurophysiology of harmony and dissonance 150
Summary 151
References and further reading 153
Contents ix
6. IVon-algorithmic thinking machine? 155
Hearts, not minds 156
When gambling does some good 158
Schemes in the brain 163
Abstracting the body 167
The basics of neuronal cartography 170
The brain that stubbornly denies itself 171
Revolutions within us 173
The last word on artificial intelligence 177
Summary 179
References and further reading 180
7. How mathematics can outwit physiology 183
Review: appearances are deceiving 183
Ordinary objects and mathematical objects 187
Mirror neurons and what they reflect 190
The mental number line 193
From space and time to numbers 196
Life in motion 199
Heights and depths 203
References and further reading 207
Afterword 211
Index 215
|
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| illustrated | Illustrated |
| indexdate | 2024-07-10T08:08:54Z |
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| isbn | 9781138565845 9781138565869 |
| language | English |
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| spelling | Sverdlik, Anna Verfasser (DE-588)1164088009 aut How our emotions and bodies are vital for abstract thought perfect mathematics for imperfect minds Anna Sverdlik ; translated by Shelley Fairweather-Vega London ; New York Routledge 2018 xvii, 218 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references Mathematics Philosophy Mathematics Psychological aspects Cognition Mathematik (DE-588)4037944-9 gnd rswk-swf Erkenntnistheorie (DE-588)4070914-0 gnd rswk-swf Kognition (DE-588)4031630-0 gnd rswk-swf Mathematik (DE-588)4037944-9 s Kognition (DE-588)4031630-0 s Erkenntnistheorie (DE-588)4070914-0 s DE-604 Erscheint auch als Online-Ausgabe Sverdlik, Anna, author How our emotions and bodies are vital for abstract thought Abingdon, Oxon ; New York, NY : Routledge, 2018 9781315123196 Digitalisierung BSB München - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030499080&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sverdlik, Anna How our emotions and bodies are vital for abstract thought perfect mathematics for imperfect minds Mathematics Philosophy Mathematics Psychological aspects Cognition Mathematik (DE-588)4037944-9 gnd Erkenntnistheorie (DE-588)4070914-0 gnd Kognition (DE-588)4031630-0 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4070914-0 (DE-588)4031630-0 |
| title | How our emotions and bodies are vital for abstract thought perfect mathematics for imperfect minds |
| title_auth | How our emotions and bodies are vital for abstract thought perfect mathematics for imperfect minds |
| title_exact_search | How our emotions and bodies are vital for abstract thought perfect mathematics for imperfect minds |
| title_full | How our emotions and bodies are vital for abstract thought perfect mathematics for imperfect minds Anna Sverdlik ; translated by Shelley Fairweather-Vega |
| title_fullStr | How our emotions and bodies are vital for abstract thought perfect mathematics for imperfect minds Anna Sverdlik ; translated by Shelley Fairweather-Vega |
| title_full_unstemmed | How our emotions and bodies are vital for abstract thought perfect mathematics for imperfect minds Anna Sverdlik ; translated by Shelley Fairweather-Vega |
| title_short | How our emotions and bodies are vital for abstract thought |
| title_sort | how our emotions and bodies are vital for abstract thought perfect mathematics for imperfect minds |
| title_sub | perfect mathematics for imperfect minds |
| topic | Mathematics Philosophy Mathematics Psychological aspects Cognition Mathematik (DE-588)4037944-9 gnd Erkenntnistheorie (DE-588)4070914-0 gnd Kognition (DE-588)4031630-0 gnd |
| topic_facet | Mathematics Philosophy Mathematics Psychological aspects Cognition Mathematik Erkenntnistheorie Kognition |
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