@article{1452285,
      recid = {1452285},
      author = {Plotnitsky, Arkady.},
      title = {Logos and Alogon : thinkable and the unthinkable in  mathematics, from the Pythagoreans to the moderns /},
      pages = {1 online resource},
      abstract = {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 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.},
      url = {http://library.usi.edu/record/1452285},
      doi = {https://doi.org/10.1007/978-3-031-13678-8},
}