On the Rationality of Paper Folding

Activiteit: Talk or presentation at a workshop/seminar


The aim of this talk is to present and investigate mathematical paper folding as a material reasoning practice. We show that the patterns of mathematical activity observed in mathematical paper folding are, at least since the end 19th century, sufficiently stable to be considered as a practice. Moreover, we will argue that this practice is material. It is controlled by the physical realities of paper-like material, whilst claims to generality of some reasoning operations are supported by arguments from other mathematical idioms. The controlling structure provided by this material side of the practice is tight enough to allow for non-textual rigorous argument and wide enough to provide sufficiently many problems for a practice to be formed. The upshot is that mathematical paper folding is a non-propositional and non-diagrammatic reasoning practice, which demands the attention of any philosophical account of the epistemic force of mathematical proof.
Periode14 nov 2017
Gehouden opUniversit├ę de Lorraine, France
Mate van erkenningInternational