Abstract

The dissertation analyzes the theory of "logical space" developed by Ludwig Wittgenstein in his Tractatus Logico-Philosophicus, I show how this idea represents a development of arguments first put forward by Hermann von Helmholtz, the physicist and physiologist. Helmholtz--instead of honouring Kant's distinction between on the one hand time and space, and, on the other, empirical qualia --stretched the Kantian spatial manifold to cover the other qualia as well: the qualia are also organized in manifolds; and this new, extended manifold is the "space" of all possible human experience. He explained this a priori mesh as being a consequence of the physiological constitution of our bodies, and the physical constitution of the world in which they are situated. The subject is enclosed in an inner world whose structure is the network of possible sensation; outside of her is a world of unknown complexity; and separating the two is what Heinrich Hertz called the "no-man's-land" of sense-physiology, a border zone regulating all traffic between the two realms, common to both, yet proper to neither. ;Wittgenstein, in his Tractatus, adapted the picture-theories of Helmholtz and Hertz to his analysis of logic. He too was confronted with the problem of defining a field of possible experience, of possible facts: his analysis of Russell's and Frege's logical theories had led him to the conclusion that the fundamental properties of logic could not be accounted for without assuming such an a priori space. Thus he assimilated Russell's types to the dimensions of a manifold, the elements of which were his Sachverhalte, or elementary facts. The truth-functions of our logic are defined on top of this space: it is the basis on which all symbolic systems, including those of the natural sciences, are erected