Representation and Productive Ambiguity in...

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Beschreibung

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.

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

Details

Erscheinungsjahr:	2007
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Buch
ISBN-13:	9780199299737
ISBN-10:	0199299730
Sprache:	Englisch
Einband:	Gebunden
Autor:	Grosholz, Emily R
Hersteller:	Oxford University Press (UK)
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	235 x 165 x 24 mm
Von/Mit:	Emily R Grosholz
Erscheinungsdatum:	18.10.2007
Gewicht:	0,635 kg