Proof and other dilemmas: mathematics and philosophy
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2008
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| Schriftenreihe: | Spectrum series
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| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXXII, 346 S. graph. Darst. |
| ISBN: | 9780883855676 |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Proof and other dilemmas
Autor: Gold, Bonnie
Jahr: 2008
Contents Acknowledgments .................................................xi Introduction ....................................................xiii I. Proof and How it is Changing ........................................1 1. Proof: Its Nature and Significance, Michael Detlefsen .....................3 2. Implications of Experimental Mathematics for the Philosophy of Mathematics, Jonathan Borwein ..................................33 3. On the Roles of Proof in Mathematics, Joseph Ausländer ..................61 II. Sociaf Constructivist Views of Mathematics ...............................79 4. When Is a Problem Solved?, Philip J. Davis ..........................81 5. Mathematical Practice as a Scientific Problem, Reuben Hersh ...............95 6. Mathematical Domains: Social Constructs?, Julian Cole .................109 III. The Nature of Mathematicaf Objects andMathematicaf Knowfedge ...............129 7. The Existence of Mathematical Objects, Charles Chihara .................131 8. Mathematical
Objects, Stewart Shapiro .............................157 9. Mathematical Platonism, Mark Balaguer ............................179 10. The Nature of Mathematical Objects, Øystein Linnebo ...................205 11. When is One Thing Equal to Some Other Thing?, Barry Mazur .............221 TV. The Nature of Mathematics and its Aggpfications ..........................243 12. Extreme Science: Mathematics as the Science of Relations as Such, R. S. D. Thomas ............................................245 13. What is Mathematics? A Pedagogical Answer to a Philosophical Question, Guershon Harel ............................................265 14. What Will Count as Mathematics in 2100?, Keith Devlin .................291 15. Mathematics Applied: The Case of Addition, Mark Steiner ................313 16. Probability—A Philosophical Overview, Alan Hajek ....................323 Glossary of Common Philosophical Terms................................341 About the Editors.................................................345
ix
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| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
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| spelling | Proof and other dilemmas mathematics and philosophy ed. by Bonnie Gold ... Providence, RI American Math. Soc. 2008 XXXII, 346 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Spectrum series Gold, Bonnie edt HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020144890&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Proof and other dilemmas mathematics and philosophy |
| title | Proof and other dilemmas mathematics and philosophy |
| title_auth | Proof and other dilemmas mathematics and philosophy |
| title_exact_search | Proof and other dilemmas mathematics and philosophy |
| title_full | Proof and other dilemmas mathematics and philosophy ed. by Bonnie Gold ... |
| title_fullStr | Proof and other dilemmas mathematics and philosophy ed. by Bonnie Gold ... |
| title_full_unstemmed | Proof and other dilemmas mathematics and philosophy ed. by Bonnie Gold ... |
| title_short | Proof and other dilemmas |
| title_sort | proof and other dilemmas mathematics and philosophy |
| title_sub | mathematics and philosophy |
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