Intuition and rigour in geometrical thinking from Antiquity to the 19th century

0548338 - FLÚ 2022 eng U - Conference, Workshop Arrangement
Crippa, Davide - Kvasz, Ladislav
Intuition and rigour in geometrical thinking from Antiquity to the 19th century.
[Online, 10.12.2020-11.12.2020, (W-WRD 15/12)]
R&D Projects: GA ČR(CZ) GJ19-03125Y
Institutional support: RVO:67985955
Keywords : Intuition * rigour * foundations of geometry * History of Geometry
OECD category: Philosophy, History and Philosophy of science and technology

From the end of the 19th century, mathematical and philosophical literature has often portrayed a contrast between visual intuition and logical rigor. In a famous lecture from 1933 on the crisis of intuition, H. Hahn saw the demise of intuitive reasoning and the embrace of careful logical inference as an historical fact brought about by the process of rigorization of analysis. In the field of geometry, Hans Freudenthal also remarked how the discovery of non-Euclidean geometries in the 19th century cut the “tie with reality and intuition”. However, the terms “rigour” and “intuition” have rich associations and connotations in different historical contexts, and well before the turn of the 20th century. The goal of our workshop is to study the historical evolution of these notions within the mathematical pratice, and the epistemological debates that they have raised.
Permanent Link: http://hdl.handle.net/11104/0324406