The Mathematician's Mind: The Psychology of Invention in the Mathematical Field
Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime,...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2020]
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| Schriftenreihe: | Princeton Science Library
109 |
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| Online-Zugang: | DE-1046 DE-859 DE-860 DE-739 DE-1043 DE-858 URL des Erstveröffentlichers |
| Zusammenfassung: | Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness. His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Mai 2020) |
| Beschreibung: | 1 online resource |
| ISBN: | 9780691212906 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T14:44:35Z |
| indexdate | 2025-02-19T17:28:28Z |
| institution | BVB |
| isbn | 9780691212906 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032170561 |
| oclc_num | 1164618044 |
| open_access_boolean | |
| owner | DE-1046 DE-859 DE-860 DE-739 DE-1043 DE-858 |
| owner_facet | DE-1046 DE-859 DE-860 DE-739 DE-1043 DE-858 |
| physical | 1 online resource |
| psigel | ZDB-23-DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UPA_PDA_DGG ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FCO_PDA_DGG |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Princeton University Press |
| record_format | marc |
| series2 | Princeton Science Library |
| spelling | Hadamard, Jacques Verfasser aut The Mathematician's Mind The Psychology of Invention in the Mathematical Field Jacques Hadamard Princeton, NJ Princeton University Press [2020] © 1997 1 online resource txt rdacontent c rdamedia cr rdacarrier Princeton Science Library 109 Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Mai 2020) Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness. His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought In English Binet’s View Deux Mondes Dynamic Psychology Evolution Experimental Fermat Fourth Stage Fringe-Consciousness Historical Comparisons Imagery Incubation Jacques Hadamard Manifold Character Mathematical Inquiries Mathematischen Numerical Calculators Personal Instances Phillip Ball Some Criticisms Synthesis in Discovery immediate preparation rest-hypothesis unconsciousness MATHEMATICS / History & Philosophy bisacsh Mathematicians Psychology Mathematics Philosophy Psychologie (DE-588)4047704-6 gnd rswk-swf Kreativität (DE-588)4032903-3 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf Innovation (DE-588)4027089-0 gnd rswk-swf Mathematiker (DE-588)4037945-0 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Kreativität (DE-588)4032903-3 s Mathematiker (DE-588)4037945-0 s Psychologie (DE-588)4047704-6 s 1\p DE-604 Mathematik (DE-588)4037944-9 s Innovation (DE-588)4027089-0 s 2\p DE-604 3\p DE-604 Methode (DE-588)4038971-6 s 4\p DE-604 https://www.degruyter.com/isbn/9780691212906 Verlag URL des Erstveröffentlichers Volltext 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 |
| spellingShingle | Hadamard, Jacques The Mathematician's Mind The Psychology of Invention in the Mathematical Field Binet’s View Deux Mondes Dynamic Psychology Evolution Experimental Fermat Fourth Stage Fringe-Consciousness Historical Comparisons Imagery Incubation Jacques Hadamard Manifold Character Mathematical Inquiries Mathematischen Numerical Calculators Personal Instances Phillip Ball Some Criticisms Synthesis in Discovery immediate preparation rest-hypothesis unconsciousness MATHEMATICS / History & Philosophy bisacsh Mathematicians Psychology Mathematics Philosophy Psychologie (DE-588)4047704-6 gnd Kreativität (DE-588)4032903-3 gnd Methode (DE-588)4038971-6 gnd Innovation (DE-588)4027089-0 gnd Mathematiker (DE-588)4037945-0 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4047704-6 (DE-588)4032903-3 (DE-588)4038971-6 (DE-588)4027089-0 (DE-588)4037945-0 (DE-588)4037944-9 |
| title | The Mathematician's Mind The Psychology of Invention in the Mathematical Field |
| title_auth | The Mathematician's Mind The Psychology of Invention in the Mathematical Field |
| title_exact_search | The Mathematician's Mind The Psychology of Invention in the Mathematical Field |
| title_exact_search_txtP | The Mathematician's Mind The Psychology of Invention in the Mathematical Field |
| title_full | The Mathematician's Mind The Psychology of Invention in the Mathematical Field Jacques Hadamard |
| title_fullStr | The Mathematician's Mind The Psychology of Invention in the Mathematical Field Jacques Hadamard |
| title_full_unstemmed | The Mathematician's Mind The Psychology of Invention in the Mathematical Field Jacques Hadamard |
| title_short | The Mathematician's Mind |
| title_sort | the mathematician s mind the psychology of invention in the mathematical field |
| title_sub | The Psychology of Invention in the Mathematical Field |
| topic | Binet’s View Deux Mondes Dynamic Psychology Evolution Experimental Fermat Fourth Stage Fringe-Consciousness Historical Comparisons Imagery Incubation Jacques Hadamard Manifold Character Mathematical Inquiries Mathematischen Numerical Calculators Personal Instances Phillip Ball Some Criticisms Synthesis in Discovery immediate preparation rest-hypothesis unconsciousness MATHEMATICS / History & Philosophy bisacsh Mathematicians Psychology Mathematics Philosophy Psychologie (DE-588)4047704-6 gnd Kreativität (DE-588)4032903-3 gnd Methode (DE-588)4038971-6 gnd Innovation (DE-588)4027089-0 gnd Mathematiker (DE-588)4037945-0 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Binet’s View Deux Mondes Dynamic Psychology Evolution Experimental Fermat Fourth Stage Fringe-Consciousness Historical Comparisons Imagery Incubation Jacques Hadamard Manifold Character Mathematical Inquiries Mathematischen Numerical Calculators Personal Instances Phillip Ball Some Criticisms Synthesis in Discovery immediate preparation rest-hypothesis unconsciousness MATHEMATICS / History & Philosophy Mathematicians Psychology Mathematics Philosophy Psychologie Kreativität Methode Innovation Mathematiker Mathematik |
| url | https://www.degruyter.com/isbn/9780691212906 |
| work_keys_str_mv | AT hadamardjacques themathematiciansmindthepsychologyofinventioninthemathematicalfield |