Estetik, matematik och filosofisk metod – Wittgenstein om «den sällsamma likheten» mellan en estetisk undersökning och en filosofisk undersökning i matematiken
Aesthetics, Mathematics and Philosophical Method: Wittgenstein on the Queer Resemblance between an Aesthetic Investigation and a Philosophical Investigation in MathematicsAmong Wittgensteins remarks we also find scattered reflections on the nature of philosophy and its methods. These remarks, which frequently take the form of comparisons or analogies, often seem either trivial or incomprehensible if taken out of their context. This essay deals with one such remark, in which Wittgenstein wants to draw attention to the queer resemblance between a philosophical investigation (especially in mathematics) and one in aesthetics. By placing this analogy in its context, I want to show how it can shed light on some key features of Wittgensteins philosophical work (especially his lectures on aesthetics and the foundations of mathematics) and his conception of philosophy. I argue that the methodological similarity that the analogy alludes to has to do especially with the idea of a synopsis of trivialities or a perspicuous representation, i.e. the Darstellungsform that is fundamental to Wittgensteins later philosophical work. In this connection, I will address Wittgensteins controversial criticism of set theory, and show how it can be seen as an example of a philosophical investigation in mathematics that can be clarified by the analogy with an aesthetic investigation.