Preface 1. Proof and the Theorem Proved 2. Self-Contradictory Suppositions 3. Wittgenstein on Some Questions in Foundations of Mathematics 4. Finitism and ‘The Limits of Empiricism’ 5. Invention and Discovery 6. On Entailment and Logical Necessity 7. Wittgenstein on Universals 8. Unknowables and Logical Atomism 9. Linguistic Approaches to Philosophical Problems 10. The Problem of Linguistic Inadequacy 11. The Problem of Justifying Inductive Inference 12. Three Aspects of Moore’s Philosophy 13. Moore’s ‘Proof of an External World’ 14. Factual, Mathematical and Metaphysical InventoriesIndex