Glimpses of Infinity : Intuitions, Paradoxes, and Cognitive Leaps

Language: English

Published by VDM Verlag Dr. Müller, 2010

3639273915 / 9783639273915

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - This book examines university students' emergent conceptions of mathematical infinity. In particular, it focuses on the cognitive leaps required to overcome epistemological obstacles related to the idea of actual infinity. Extending on prior research regarding set comparison tasks, this book offers a refined analysis of the tacit conceptions and philosophies which influence learners' emergent understanding of infinity, as manifested through their engagement with geometric tasks and two well known paradoxes Hilbert's Grand Hotel and the Ping-Pong Ball Conundrum. My research indicates that accommodating the idea of actual infinity requires a leap of imagination away from realistic' concerns and philosophical beliefs towards the realm of mathematics'. Further, the abilities to clarify a separation between intuitive and formal understandings, to conceive of infinite' as an answer to the question how many ', and to appreciate specific properties of transfinite arithmetic are recognised as fundamental features in understanding actual infinity.…

Seller Inventory # 9783639273915

Title
Glimpses of Infinity : Intuitions, Paradoxes, and Cognitive Leaps
Author
Ami Mamolo
Publisher
VDM Verlag Dr. Müller
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3639273915
ISBN 13
9783639273915
Item weight
188 grams
Dimensions
220x150x8 mm

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

Shipping rates from Germany to U.S.A.

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