001452285 000__ 03521cam\a22004697i\4500
001452285 001__ 1452285
001452285 003__ OCoLC
001452285 005__ 20230310003348.0
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001452285 008__ 230129s2022\\\\sz\\\\\\ob\\\\001\0\eng\d
001452285 020__ $$a9783031136788$$qelectronic book
001452285 020__ $$a3031136780$$qelectronic book
001452285 020__ $$z3031136772
001452285 020__ $$z9783031136771
001452285 0247_ $$a10.1007/978-3-031-13678-8$$2doi
001452285 035__ $$aSP(OCoLC)1362865216
001452285 040__ $$aYDX$$beng$$erda$$cYDX$$dGW5XE$$dYDX
001452285 049__ $$aISEA
001452285 050_4 $$aQA8.4$$b.P56 2022
001452285 08204 $$a510.1$$223/eng/20230130
001452285 1001_ $$aPlotnitsky, Arkady.
001452285 24510 $$aLogos and Alogon :$$bthinkable and the unthinkable in mathematics, from the Pythagoreans to the moderns /$$cArkady Plotnitsky.
001452285 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2022]
001452285 300__ $$a1 online resource
001452285 336__ $$atext$$btxt$$2rdacontent
001452285 337__ $$acomputer$$bc$$2rdamedia
001452285 338__ $$aonline resource$$bcr$$2rdacarrier
001452285 504__ $$aIncludes bibliographical references and indexes.
001452285 5050_ $$a1 The Ghost and the Spirit of Pythagoras in Modern and Modernist Mathematics -- 2 Platos Ghosts: Pythagorean Mathematics, Socratic Philosophy, and Tragic Art -- 3 Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts -- 4 What is a Curve?: From Geometry to Algebra, from Modern to Modernist Mathematics -- 5 Returns of Geometry: From the Pythagoreans to Mathematical Modernism and Beyond -- 6 Who Thinks Abstractly: Emmy Noether and Modernist Mathematics -- 7 Mathematical Practice as Philosophy, with Galois, Riemann, Poincare, and Grothendieck.
001452285 506__ $$aAccess limited to authorized users.
001452285 520__ $$aThis book is a philosophical study of mathematics, pursued by considering and relating two aspects of mathematical thinking and practice, especially in modern mathematics, which, having emerged around 1800, consolidated around 1900 and extends to our own time, while also tracing both aspects to earlier periods, beginning with the ancient Greek mathematics. The first aspect is conceptual, which characterizes mathematics as the invention of and working with concepts, rather than only by its logical nature. The second, Pythagorean, aspect is grounded, first, in the interplay of geometry and algebra in modern mathematics, and secondly, in the epistemologically most radical form of modern mathematics, designated in this study as radical Pythagorean mathematics. This form of mathematics is defined by the role of that which beyond the limits of thought in mathematical thinking, or in ancient Greek terms, used in the books title, an alogon in the logos of mathematics. The outcome of this investigation is a new philosophical and historical understanding of the nature of modern mathematics and mathematics in general. The book is addressed to mathematicians, mathematical physicists, and philosophers and historians of mathematics, and graduate students in these fields.
001452285 588__ $$aDescription based on online resource; title from digital title page (viewed on February 27, 2023).
001452285 650_0 $$aMathematics$$xPhilosophy.
001452285 655_0 $$aElectronic books.
001452285 77608 $$iPrint version: $$z3031136772$$z9783031136771$$w(OCoLC)1334719253
001452285 852__ $$bebk
001452285 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-13678-8$$zOnline Access$$91397441.1
001452285 909CO $$ooai:library.usi.edu:1452285$$pGLOBAL_SET
001452285 980__ $$aBIB
001452285 980__ $$aEBOOK
001452285 982__ $$aEbook
001452285 983__ $$aOnline
001452285 994__ $$a92$$bISE