Suchergebnisse

This book is a collection of fifteen essays on important themes in Wittgenstein's philosophy, divided into three sections. The first section is about philosophy of language, in particular Wittgenstein's key idea of linguistic normativity. The second section is mainly concerned with important Wittgensteinian contributions to the philosophy of mind and action: his analysis of sensation language, the concept of understanding, the explanation of human behaviour and the concept of knowledge. The final section focusses on questions of value, mainly in aesthetics, but also in ethics and religion.

According to Wittgenstein, mathematics is embedded in, and partly constituting, a form of life. Hence, to imagine different, alternative forms of elementary mathematics, we should have to imagine different practices, different forms of life in which they could play a role. If we tried to imagine a radically different arithmetic we should think either of a strange world (in which objects unaccountably vanish or appear) or of people acting and responding in very peculiar ways. If such was their practice, a calculus expressing the norms of representation they applied could not be called false. Rather, our criticism could only be to dismiss such a practice as foolish and to dismiss their norms as too different from ours to be called 'mathematics'.