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Intuitionistic Analysis Constructive Frame by Dalen Dirk (4 results)
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Intuitionistic Analysis: A Constructive Frame Of Mind
Language: English
Published by Springer Nature Switzerland Ag, 2026
ISBN 10: 3032164907 ISBN 13: 9783032164902
Paperback. Condition: Brand New. 181 pages. 6.10x0.39x9.25 inches. In Stock.
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Intuitionistic Analysis : A Constructive Frame of Mind
Language: English
Published by Springer, Palgrave Macmillan, 2026
ISBN 10: 3032164907 ISBN 13: 9783032164902
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book introduces the core ideas of L.E.J. Brouwer s approach to constructivity in mathematics, focusing on analysis, set theory, and topology, while considering his philosophical motivations. Brouwer s intuitionism offers a coherent alternative to classical (nonconstructive) mathematics.Starting with the rejection of the Principle of the Excluded Middle, the book reconstructs number systems and analysis using Cauchy sequences. It compares constructive and classical methods, highlights where classical theorems fail through weak counterexamples , and examines Brouwer s classical and constructive versions of the Fixed-Point Theorem. Intuitionistic concepts like choice sequences and the Creating Subject lead to surprising results, such as the continuity of all total real functions and the existence of effective but non-recursive functions. Brief but fundamental comparisons are made with the later alternatives of Markov and Bishop.Intended as an introduction for undergraduates, this book is suitable for mathematics students interested in philosophy as well as philosophers with some mathematical background.
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Condition: New. Print on Demand.
