Conversations on mind, matter, and mathematics:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English French |
| Veröffentlicht: |
Princeton, NJ
Princeton Univ. Press
1995
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 260 S. Ill., graph. Darst. |
| ISBN: | 0691087598 |
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Datensatz im Suchindex
| _version_ | 1804124688272588800 |
|---|---|
| adam_text | Contents
Translator s Note vii
Preface to the Original French Edition xi
1. Mathematics and the Brain 3
Introductory Remarks 3
The Hierarchy of the Sciences in Question 6
Invention or Discovery? 11
Mathematics Has a History 18
Is Mathematics Merely a Language? 22
2. Plato as Materialist? 25
The Intellectual Ascesis of the Materialist 25
The Psychoanalysis of Mathematics 30
Is a Mathematical Object a Cultural Representation Like
Any Other? 32
The Darwinism of Mathematical Objects 35
Beliefs in Mathematics 38
3. Nature Made to Order 41
Constructivist Mathematics 41
The Unreasonable Effectiveness of Mathematics 47
Einstein and Mathematics 51
The Usefulness of Mathematical Models in Biology 57
The Auscultation of Quantum Mechanics 64
4. The Neuronal Mathematician 74
Illumination 74
The Brain and Its Multiple Levels of Organization 82
The Cellular Level 90
From Elementary Circuits to Mental Objects 97
The Neuropsychology of Mathematics 105
Transition among Levels by Variation Selection 107
Mental Darwinism and Mathematical Creation 116
5. Darwin among the Mathematicians 122
The Utilitx of the Darwinian Schema 122
Coding Stable Forms 127
The Organization of Long Term Memory 138
Reasoning by Analogy 142
Linking Representations within Frameworks of Thought 143
The Natural Selection of Mathematical Objects 146
6. Thinking Machines 153
Are Intelligent Machines Possible? 153
Godel s Theorem 154
Turing s Thinking Machine 162
The Theory of the S Matrix in Physics as Analogue to
Functionalism in Psychology 165
Is the Human Brain a Computer? 168
A Self Evaluating Machine that Can Suffer 173
7. The Real and the Rational 179
The Nature of Mathematical Objects Revisited 180
The Construction of Mathematics by the Child 192
Order in the World 196
Epilogue: Ethical Questions 210
In Search of the Natural Bases of Ethics 210
Social Life and the Frontal Lobe 216
Prosocial Behavior in the Child and Its Cultural Imprint 219
The Functions of Morality 222
In Defense of a Revisable, Rational, and Natural Morality 224
The Enlargement of Sympathy and the Function of Aesthetics 226
Ethics and Mathematics 233
Glossary of Mathematical Terms 237
Glossary of Neurobiological Terms 247
Index 253
|
| any_adam_object | 1 |
| author | Changeux, Jean-Pierre 1936- Connes, Alain 1947- |
| author_GND | (DE-588)132034557 (DE-588)112614760 |
| author_facet | Changeux, Jean-Pierre 1936- Connes, Alain 1947- |
| author_role | aut aut |
| author_sort | Changeux, Jean-Pierre 1936- |
| author_variant | j p c jpc a c ac |
| building | Verbundindex |
| bvnumber | BV010273136 |
| classification_rvk | SG 700 |
| ctrlnum | (OCoLC)318176189 (DE-599)BVBBV010273136 |
| dewey-full | 510.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.1 |
| dewey-search | 510.1 |
| dewey-sort | 3510.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010273136 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:49:38Z |
| institution | BVB |
| isbn | 0691087598 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006834396 |
| oclc_num | 318176189 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T |
| owner_facet | DE-355 DE-BY-UBR DE-29T |
| physical | XII, 260 S. Ill., graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| spelling | Changeux, Jean-Pierre 1936- Verfasser (DE-588)132034557 aut Matière à pensée Conversations on mind, matter, and mathematics Jean-Pierre Changeux ; Alain Connes Princeton, NJ Princeton Univ. Press 1995 XII, 260 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Filosofía de las matemáticas Neuropsicología Mathematisches Objekt (DE-588)4169106-4 gnd rswk-swf Gehirn (DE-588)4019752-9 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Ethik (DE-588)4015602-3 gnd rswk-swf Neurobiologie (DE-588)4041871-6 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Erkenntnistheorie (DE-588)4070914-0 gnd rswk-swf Künstliche Intelligenz (DE-588)4033447-8 gnd rswk-swf Gehirn (DE-588)4019752-9 s Mathematisches Objekt (DE-588)4169106-4 s Künstliche Intelligenz (DE-588)4033447-8 s Ethik (DE-588)4015602-3 s 1\p DE-604 Neurobiologie (DE-588)4041871-6 s 2\p DE-604 Mathematik (DE-588)4037944-9 s Erkenntnistheorie (DE-588)4070914-0 s 3\p DE-604 4\p DE-604 5\p DE-604 Philosophie (DE-588)4045791-6 s 6\p DE-604 Connes, Alain 1947- Verfasser (DE-588)112614760 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006834396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Changeux, Jean-Pierre 1936- Connes, Alain 1947- Conversations on mind, matter, and mathematics Filosofía de las matemáticas Neuropsicología Mathematisches Objekt (DE-588)4169106-4 gnd Gehirn (DE-588)4019752-9 gnd Mathematik (DE-588)4037944-9 gnd Ethik (DE-588)4015602-3 gnd Neurobiologie (DE-588)4041871-6 gnd Philosophie (DE-588)4045791-6 gnd Erkenntnistheorie (DE-588)4070914-0 gnd Künstliche Intelligenz (DE-588)4033447-8 gnd |
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| title | Conversations on mind, matter, and mathematics |
| title_alt | Matière à pensée |
| title_auth | Conversations on mind, matter, and mathematics |
| title_exact_search | Conversations on mind, matter, and mathematics |
| title_full | Conversations on mind, matter, and mathematics Jean-Pierre Changeux ; Alain Connes |
| title_fullStr | Conversations on mind, matter, and mathematics Jean-Pierre Changeux ; Alain Connes |
| title_full_unstemmed | Conversations on mind, matter, and mathematics Jean-Pierre Changeux ; Alain Connes |
| title_short | Conversations on mind, matter, and mathematics |
| title_sort | conversations on mind matter and mathematics |
| topic | Filosofía de las matemáticas Neuropsicología Mathematisches Objekt (DE-588)4169106-4 gnd Gehirn (DE-588)4019752-9 gnd Mathematik (DE-588)4037944-9 gnd Ethik (DE-588)4015602-3 gnd Neurobiologie (DE-588)4041871-6 gnd Philosophie (DE-588)4045791-6 gnd Erkenntnistheorie (DE-588)4070914-0 gnd Künstliche Intelligenz (DE-588)4033447-8 gnd |
| topic_facet | Filosofía de las matemáticas Neuropsicología Mathematisches Objekt Gehirn Mathematik Ethik Neurobiologie Philosophie Erkenntnistheorie Künstliche Intelligenz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006834396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT changeuxjeanpierre matiereapensee AT connesalain matiereapensee AT changeuxjeanpierre conversationsonmindmatterandmathematics AT connesalain conversationsonmindmatterandmathematics |