Logically Simple Objects and a Relational View of Reality in Wittgenstein’s Tractatus, Russell and Carnap

Abstract

Many philosophers have puzzled over the nature of the logically simple objects, the “substance” of the world, in Wittgenstein’s Tractatus logico-philosophicus (TLP). Such questions are misplaced because TLP is committed to the view that talk of such metaphysically problematical entities is part of the “ladder” that must be “thrown away” after one has climbed it. Further, TLP’s demotion of its logically simple objects to mere logical subjects requires an increased emphasis on the relations between these alleged objects. TLP’s account of its logically simple objects is an application of Russell’s relational view of mathematical objects from his Principles of Mathematics applied to “reality”. Carnap develops an analogous relational or “structural” view of reality in The Logical Structure of the World. Despite important differences between them, these three philosophers can profitably be seen as replacing the traditional emphasis on substances with a relational model of reality.