Introduction: Wittgenstein between the Tractatus and the investigations David G. Stern; Part I. Changes and Continuities in Wittgenstein's Philosophy: 1. Wittgenstein and Moore on grammar David G. Stern; 2. Wittgenstein on understanding: language, calculus and practice Alois Pichler; 3. Wittgenstein on sentence-hypotheses and certainty Mauro L. Engelmann; 4. Wittgenstein on meaning, use and linguistic commitment Anna Boncompagni; 5. Will there soon be skilful philosophers? Wittgenstein on himself, his work, and the state of civilization in 1930 Wolfgang Kienzler; 6. Wittgenstein and his students: 1929-33 James C. Klagge; Part II. Philosophy of Mind: 7. From Moore's lecture notes to Wittgenstein's Blue Book Hans Sluga; 8. 'Two kinds of use of 'I'': the middle Wittgenstein on 'I' and the self William Child; 9. Wittgenstein on rules and the mental Volker A. Munz; Part III. Religion, Ethics, and Aesthetics: 10. Wittgenstein's discussion of 'use of such a word as 'God'' Anat Biletzki; 11. Wittgenstein on ethics, May 1933 Duncan Richter; 12. Wittgenstein on aesthetic normativity and grammar Hanne Appelqvist; 13. Wittgenstein's remarks on aesthetics and their context Joachim Schulte; Part IV. Philosophy of Mathematics: 14. Moore's notes and Wittgenstein's philosophy of mathematics: the case of mathematical induction Warren Goldfarb; 15. Wittgenstein, Goodstein and the origin of the uniqueness rule for primitive recursive arithmetic Mathieu Marion and Mitsuhiro Okada.