Brouwer meets Husserl - Mark Van Atten

Brouwer meets Husserl

On the Phenomenology of Choice Sequences

(Autor)

Buch | Softcover
206 Seiten
2010 | Softcover reprint of hardcover 1st ed. 2007
Springer (Verlag)
978-90-481-7281-8 (ISBN)
171,19 inkl. MwSt
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.
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.

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.

Erscheint lt. Verlag 23.11.2010
Reihe/Serie Synthese Library ; 335
Zusatzinfo XIII, 206 p.
Verlagsort Dordrecht
Sprache englisch
Maße 160 x 240 mm
Themenwelt Geisteswissenschaften Philosophie Metaphysik / Ontologie
Geisteswissenschaften Philosophie Philosophie der Neuzeit
Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Logik / Mengenlehre
Schlagworte Brouwer • Husserl • Intuitionism • Mathematics • Phenomenology
ISBN-10 90-481-7281-0 / 9048172810
ISBN-13 978-90-481-7281-8 / 9789048172818
Zustand Neuware
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