Abstract

Sets out Kurt Gödel's slingshot argument. The original argument—or, at least, the premisses of the argument that Neale attributes to Gödel—can be found in a fleeting footnote to a discussion of the relationship between Bertrand Russell's Theory of Descriptions and Theory of Facts. Usually each theory is viewed as quite independent of the other, but Gödel argues otherwise: that the viability of the latter depends upon the viability of the former. Neale summarizes Gödel's standpoint as follows: ‘if a true sentence stands for a fact, then in order to avoid the collapse of all facts into one, the friend of facts must give up either an intuitive and straightforward Fregean Principle of Composition or the idea that definite descriptions are expressions that purport to stand for things.’ The sections of the chapter are: Elimination ; Facts and Descriptions; Identities in the Matrix; and The Eleatic One.