2018/11/22 by Athanase Papadopoulos, Papadopoulos, Athanase
Mathematics · #FOS: Mathematics #History and Overview (math.HO) #math.HO
paper · pdf · doi:10.48550/arxiv.1811.09090
arxiv created 2018/11/22 · arxiv updated 2018/11/26
René Thom discovered several refined topological notions in the writings of Aristotle, especially the biological. More generally, he considered that some of the assertions of the Greek philosophers have a definite topological content, even if they were written 2400 years before the field of topology was born. In this article, we expand on these ideas of Thom. At the same time, we highlight the importance of biology in the works of Aristotle and Thom and we report on their conception of mathematics and more generally on science. The final version of this article will appear in the book Geometry in history (ed. S. G. Dani and A. Papadopoulos), Springer Verlag, 2019.