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Carte Brouwer meets Husserl Mark van Atten

Brouwer meets Husserl

On the Phenomenology of Choice Sequences

Autor: Mark van Atten
Limbă: engleză
Legare: Carte broșată
Editura: Springer
Disponibilitate: În depozitul extern
Expediem în 5-8 zile
827.34 lei
Can a line be analysed mathematically such a way that it does not fall apart into a set of discrete...

Informații despre carte

Autor
Mark van Atten
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2010
Pagini
206
EAN
9789048172818
ISBN
9048172810
Enbook ID
05322759
Editura
Springer
Greutate
358
Dimensiuni
160 x 240 x 13

Descriere completă

Can a line be analysed mathematically such a way that it does not fall apart into a set of discrete points? Are there objects of pure mathematics that can change through time? L. E. J. Brouwer argued that the two questions are related and that the answer to both is "yes", introducing the concept of choice sequences. This book subjects Brouwer's choice sequences to a phenomenological critique in the style of Husserl. 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?§The 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.§"It is almost as if one could hear the two rebels arguing their case in a European café 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, U.S.A.

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