Patterns of Change: Linguistic Innovations in the Development of Classical Mathematics

Patterns of Change: Linguistic Innovations in the Development of Classical Mathematics

by Ladislav Kvasz

Hardcover(2008)

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Product Details

ISBN-13: 9783764388393
Publisher: Birkhauser Basel
Publication date: 09/18/2008
Series: Science Networks. Historical Studies Series , #36
Edition description: 2008
Pages: 262
Product dimensions: 6.60(w) x 9.20(h) x 0.80(d)

Table of Contents

Preface.- Introduction.- Re-codings as the first pattern of change in mathematics.- Historical description of re-codings.- Philosophical reflections on re-codings.- Relativizations as the second pattern of change in mathematics.- A Historical description of relativizations in synthetic geometry.- Historical description of relativizations in algebra.- Philosophical reflections on relativizations.- Re-formulations as a third pattern of change in mathematics.- Re-formulations and concept-formation.- Re-formulations and problem-solving.- Re-formulations and theory-building.- Mathematics and change.- The question of revolutions in mathematics (Kuhn).- The question of mathematical research programs (Lakatos).- The question of stages of cognitive development (Piaget).- Notes.- Bibliography

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