Brouwer meets Husserl
On the Phenomenology of Choice Sequences
Seiten
2006
Springer-Verlag New York Inc.
978-1-4020-5086-2 (ISBN)
Springer-Verlag New York Inc.
978-1-4020-5086-2 (ISBN)
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.
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.
| Reihe/Serie | Synthese Library ; 335 |
|---|---|
| Zusatzinfo | XIII, 206 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Themenwelt | Geisteswissenschaften ► Philosophie ► Metaphysik / Ontologie |
| Geisteswissenschaften ► Philosophie ► Philosophie der Neuzeit | |
| Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika | |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 1-4020-5086-0 / 1402050860 |
| ISBN-13 | 978-1-4020-5086-2 / 9781402050862 |
| Zustand | Neuware |
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