000 02666cam a2200277zu 4500
001 88865657
003 FRCYB88865657
005 20250107153700.0
006 m o d
007 cr un
008 250107s2012 fr | o|||||0|0|||eng d
020 _a9780956775016
035 _aFRCYB88865657
040 _aFR-PaCSA
_ben
_c
_erda
100 1 _aZalamea, Fernando
245 0 1 _aSynthetic Philosophy of Contemporary Mathematics
_c['Zalamea, Fernando']
264 1 _bUrbanomic/Sequence Press
_c2012
300 _a p.
336 _btxt
_2rdacontent
337 _bc
_2rdamdedia
338 _bc
_2rdacarrier
650 0 _a
700 0 _aZalamea, Fernando
856 4 0 _2Cyberlibris
_uhttps://international.scholarvox.com/netsen/book/88865657
_qtext/html
_a
520 _aA panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest.A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics.The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830?1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the ?real mathematics? of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the ?making of mathematics.?In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd.Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.
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