Brouwer meets Husserl

On the Phenomenology of Choice Sequences

AvMark van Atten

Inbunden, Engelska, 2006

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Beskrivning

Can the straight line be analysed mathematically such that it does not fall apart into a set of discrete points, as is usually done but through which its fundamental continuity is lost? And are there objects of pure mathematics that can change through time?Mathematician and philosopher L.E.J. Brouwer argued that the two questions are closely related and that the answer to both is "yes''. To this end he introduced a new kind of object into mathematics, the choice sequence. But other mathematicians and philosophers have been voicing objections to choice sequences from the start.This book aims to provide a sound philosophical basis for Brouwer's choice sequences by subjecting them to a phenomenological critique in the style of the later Husserl.

Produktinformation

Utgivningsdatum:2006-11-09
Mått:178 x 254 x 17 mm
Vikt:490 g
Format:Inbunden
Språk:Engelska
Serie:Synthese Library
Antal sidor:206
Upplaga:2007
Förlag:Springer-Verlag New York Inc.
ISBN:9781402050862

Utforska kategorier

Matematikens grunder inom Naturvetenskap och teknik

Recensioner i media

From the reviews: "It is almost as if one could hear the two rebels arguing their case in a European cafe or on a terrace, and coming to a common understanding, with both men taking their hat off to the other, in admiration and gratitude. Dr. van Atten has convincingly applied Husserl's method to Brouwer's program, and has equally convincingly applied Brouwer's intuition to Husserl's program. Both programs have come out the better." Piet Hut, Professor of Interdisciplinary Studies, Institute for Advanced Study, Princeton, USA

Innehållsförteckning

An Informal Introduction.- The Argument.- The Original Positions.- The Phenomenological Incorrectness of the Original Arguments.- The Constitution of Choice Sequences.- Application: An Argument for Weak Continuity.- Concluding Remarks.