03147nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001400172100002600186245011100212264004600323300003500369336002600404337002600430338003600456347002400492490002800516505024600544520128200790650002602072650001702098650001402115650001902129650003802148650001602186650001902202650004002221650001402261650001702275710003402292773002002326776003602346830002802382856010102410912001402511942001202525999001702537952009902554978-1-4020-5087-9DE-He21320260521092117.0cr nn 008mamaa120508s2007 ne | s |||| 0|eng d a9781402050879 a997814020508797 a10.1007/978-1-4020-5087-92doi04a142.72231 aAtten, Mark.eauthor.10aBrouwer Meets Husserlh[electronic resource] :bOn the Phenomenology of Choice Sequences /cby Mark Atten. 1aDordrecht :bSpringer Netherlands,c2007. aXIII, 206 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aSynthese Library ;v3350 aAn 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. aCan 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. 0aPHILOSOPHY (GENERAL). 0aMETAPHYSICS. 0aONTOLOGY. 0aPHENOMENOLOGY. 0aLOGIC, SYMBOLIC AND MATHEMATICAL.14aPHILOSOPHY.24aPHENOMENOLOGY.24aMATHEMATICAL LOGIC AND FOUNDATIONS.24aONTOLOGY.24aMETAPHYSICS.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9781402050862 0aSynthese Library ;v33540uhttp://dx.doi.org/10.1007/978-1-4020-5087-9zVer el texto completo en las instalaciones del CICY aZDB-2-SHU 2ddccER c37061d37061 00102ddc40708LEaCICYbCICYcELd2025-10-06l0o142.7r2025-10-06 08:45:18w2025-10-06yER