000			01934nam a22002177a 4500
003			JGU
005			20230308020019.0
008			230307b |||||||| |||| 00| 0 eng d
020			_a9783031136771 _qhbk.
040			_beng _cJGU
041			_aeng
100			_aPlotnitsky, Arkady, _91638661 _eauthor
245			_aLogos and alogon : _bthinkable and the unthinkable in mathematics, from the pythagoreans to the moderns / _cArkady Plotnitsky.
260			_aCham : _bSpringer, _c2022.
520			_a"This 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 book’s 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."--
650			_aMathematics _937903
650			_aMathematics--Philosophy _9404012
999			_c3053529 _d3053529