In an influential article, Gerd Grasshoff has argued for the identification of the objects in Wittgenstein's Tractatus with the ultimate constituents of reality in Heinrich Hertz's Principles of Mechanics. Grasshoff's interpretation is based on two interrelated claims: The specific determination of the objects in the world and the relation among them is the primary theme in Wittgenstein's early philosophy, because it is the primary theme for Hertz. Wittgenstein did not assume the existence of simple objects on purely logical grounds without (...) having specific examples of simple objects in mind, because Hertz did not do this. (shrink)

The influence of Heinrich Hertz's The Principles of Mechanics on Ludwig Wittgenstein's Tractatus Logico‐Philosophicus has been studied for decades, but it has never become a mainstream topic in the Wittgensteinian literature. This paper focusses on Tractarian notions of objects, elementary facts and elementary sentences and discusses their similarities with Hertz's concepts of mass, its constituents and their mechanistic images. As the paper demonstrates, the Hertzian context provides some fruitful interpretational leads concerning several controversial ideas endorsed by early Wittgenstein, namely propositional (...) analysis, logical independence of elementary facts, logical independence of elementary sentences, and modalities. (shrink)

This dissertation investigates the origin, intellectual development and use of a semantic variant of the idea of logical space found implicitly in Kant and explicitly in early Wittgenstein and van Fraassen. It elucidates the idea of logical space as the idea of images or pictures representative of reality organized into a logico-mathematical structure circumscribing a form of all possible worlds. Its main claim is that application of these images or pictures to reality is through a certain conception of self. The (...) first chapter presents a novel interpretation of Kant’s semantic theory of schemata in the Critique of Pure Reason, showing that a structure of the imagination induced by the transcendental self informs an implicit idea of logical space. The second chapter offers an intellectual history of the idea through developments in the organization of images introduced by Helmholtz and Hertz. The third chapter reveals early Wittgenstein’s idea of logical space to be his notion of the self, demonstrating how this serves to unify propositions of the Tractatus Logico-Philosophicus concerning solipsism, realism, ethics, aesthetics and mysticism with those pertaining to the picture theory of meaning. The fourth chapter provides a historical overview of the development of van Fraassen’s empiricism in relation to his adaptation of logical space, and evaluates his recent proposal in Scientific Representation: Paradoxes of Perspective that the problem of coordination in the semantic view of theories is dissolved through self-location in logical space. After identifying a number of problems this proposal creates for his empiricism, a brief suggestion is made about how van Fraassen might improve upon his conception of logical space, and how an empiricist view of scientific representation might be understood as a result. (shrink)