Representation and Productive Ambiguity in Mathematics and the Science - Sciences

Zusatztext Anyone interested in mathematical practice will find plenty of material in this book ... philosophers who wish to reject Grosholz's views had better come up with collections of studies at least as detailed and compelling as these. That is no small challenge. Klappentext Emily Grosholz offers an original investigation of demonstration in mathematics and science, examining how it works and why it is persuasive. Focusing on geometrical demonstration, she shows the roles that representation and ambiguity play in mathematical discovery. She presents a wide range of case studies in mechanics, topology, algebra, logic, and chemistry, from ancient Greece to the present day, but focusing particularly on the seventeenth and twentieth centuries. Anyone interested in how mathematics works will find this a stimulating read. Zusammenfassung Offers an investigation of demonstration in mathematics and science, examining how it works and why it is persuasive. Focusing on geometrical demonstration, this book shows the roles that representation and ambiguity play in mathematical discovery. It also presents a range of case studies in mechanics, topology, algebra, logic, and chemistry. Inhaltsverzeichnis Preface Acknowledgments Introductory Chapters Productive Ambiguity: Galileo contra Carnap Analysis and Experience Section I: Chemistry and Geometry. Bioorganic Chemistry and Biology Genetics and Molecular Biology Representation Theory and Chemistry Section II: Geometry and 17th c. Mechanics. Descartes's Geometry Newton's Principia Leibniz on Transcendental Curves. Section III: Geometry and 20th c. Topology Geometry, Algebra, and Topology Logic and Topology Bibliography

Dettagli sul prodotto

• Autori: Emily R Grosholz, Emily R. Grosholz, Emily R. (The Pennsylvania State Univers Grosholz, Grosholz Emily R.
• Editore: Oxford University Press
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 30.08.2007
• EAN: 9780199299737
• ISBN: 978-0-19-929973-7
• Pagine: 332
• Categorie: Guide e manuali; Scienze naturali, medicina, informatica, tecnica > Matematica > Tematiche generali, enciclopedie; SCIENCE / History, PHILOSOPHY / History & Surveys / General, SCIENCE / Philosophy & Social Aspects, MATHEMATICS / History & Philosophy, Philosophy of Science, History of Science, Philosophy of Mathematics, Western philosophy: c 1600 to c 1900, Philosophical traditions and schools of thought, History of mathematics