We argue that Wittgenstein’s philosophical perspective on Gödel’s most famous theorem is even more radical than has commonly been assumed. Wittgenstein shows in detail that there is no way that the Gödelian construct of a string of signs could be assigned a useful function within (ordinary) mathematics. — The focus is on Appendix III to Part I of Remarks on the Foundations of Mathematics. The present reading highlights the exceptional importance of this particular set of remarks and, more specifically, emphasises (...) its refined composition and rigorous internal structure. (shrink)
Wittgenstein read and admired the work of John Henry Newman. Evidence suggests that from 1946 until 1951 Newman's Grammar of Assent was probably the single most important external stimulus for Wittgenstein's thought. In important respects Wittgenstein's reactions to G. E. Moore follow hints already given by Newman.