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Patterns of change : linguistic innovations in the development of classical mathematics

Author: Ladislav Kvasz
Publisher: Basel : Birkhäuser ; [London] : [Springer, distributor], ©2008.
Series: Science networks historical studies, v. 36.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"This book offers a reconstruction of linguistic innovations in the history of mathematics; innovations which changed the ways in which mathematics was clone, understood and philosophically interpreted. It argues that there are at least three ways in which the language of mathematics has been changed throughout its history, thus determining the lines of development that mathematics has followed." "The book offers  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Ladislav Kvasz
ISBN: 9783764388393 3764388390 9783764388409 3764388404
OCLC Number: 227033881
Description: xviii, 261 pages : illustrations ; 24 cm.
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
Series Title: Science networks historical studies, v. 36.
Responsibility: Ladislav Kvasz.
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Abstract:

A reconstruction of linguistic innovations in the history of mathematics that argues for at least three ways in which the language can be changed and introduces exact logical tools for reconstructing  Read more...

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From the reviews: "This is a book on the history and philosophy of mathematics interpreted as a sequence of linguistic innovations. ... Kvasz has succeeded in producing a book which synthesizes over Read more...

 
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