03104nam a22004935i 4500 978-1-4020-5087-9 DE-He213 20260521092117.0 cr nn 008mamaa 120508s2007 ne | s |||| 0|eng d 9781402050879 99781402050879 10.1007/978-1-4020-5087-9 doi 142.7 23 Atten, Mark. author. Brouwer Meets Husserl [electronic resource] : On the Phenomenology of Choice Sequences / by Mark Atten. Dordrecht : Springer Netherlands, 2007. XIII, 206 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthese Library ; 335 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. 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. PHILOSOPHY (GENERAL). METAPHYSICS. ONTOLOGY. PHENOMENOLOGY. LOGIC, SYMBOLIC AND MATHEMATICAL. PHILOSOPHY. PHENOMENOLOGY. MATHEMATICAL LOGIC AND FOUNDATIONS. ONTOLOGY. METAPHYSICS. SpringerLink (Online service) Springer eBooks Printed edition: 9781402050862 Synthese Library ; 335 http://dx.doi.org/10.1007/978-1-4020-5087-9 Ver el texto completo en las instalaciones del CICY ZDB-2-SHU ddc ER 37061 37061 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 142.7 2025-10-06 08:45:18 2025-10-06 ER