We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Published online by Cambridge University Press: 01 January 2020
1 Sir Tovey, Donald F. quoting Mendelssohn in his Mainstreams of Music (New York: Meridian Books 1961) 342.Google Scholar
2 All italics in the quotes are the author's; the bracketed phrases are inserted by the reviewer.
3 Turing, Alan ‘Computing machinery and intelligence,’ Mind, 59 (1950).Google Scholar
4 As told by Forkel; cf. David, H.T. and Mendel, A. The Bach Reader (New York: W.W. Norton, 1966).Google Scholar
5 ‘Compose Ever Greater Artificial Brains (By and By),’ (740), C-Eb-G-Ab-B-B-A-B is the Kings Theme of the Offering.
6 My student lmants Baruss Just noticed a subtle self-reference on p. 81 of ‘Contracrostipunctus’( 75-81)! I am sure there are many hidden messages still waiting to be deciphered.
7 Snow, C.P. The Two Cultures and the Scientific Revolution (New York: Cambridge U.P. 1959).Google Scholar
8 See for instance Brown, G.S. Laws of Form (New York: The Julian Press, Inc. 1977);Google Scholar Capra, F. The Tao of Physics (Bungay, Suffolk: Fontana 1977;Google Scholar and Smullyan, R. What Is the Name of this Book? (Englewood Cliffs, N.J.: Prentice-Hall Ltd. 1978).Google Scholar
9 cf. Review of Hofstadter's ‘Gödel, Escher, Bach’ by R. Weale in the New Scientist, 82 1160. (June, 1979) 1012.
10 There is a difference between nontheorems and negations of theorems.
11 Tarski, A. Mostowski, A. and Robinson, R. Undecidable Theories (Amsterdam: North Holland Publishing Co. 1953).Google Scholar
12 Enderton, H. A Mathematical introduction to Logic (New York: Academic Press 1972).Google Scholar
13 Lucas, J.R. ‘Minds, Machines and Gödel,’ Philosophy 36 (1961).CrossRefGoogle Scholar
14 Paris, J. and Harrington, L. ‘A Mathematical Incompleteness in Peano Arithmetic’, in Barwise, J. ed., Handbook of Mathematical Logic, (Amsterdam: North Holland Publishing Co. 1977).Google Scholar
15 Crossley, J. et al, What is Mathematical Logic? (New York: Oxford U. P. 1972).Google Scholar
16 Myhill, J. ‘Some Philosophical Implications of Mathematical Logic,’ Review of Metaphysics 6 (1952).Google Scholar
17 Crossley, J. ‘Reminiscences of Logicians’ in Crossley, J. ed., Algebra and Logic Proceedings 1974. Lecture Notes in Mathematics Vol. 450 (Springer-Verlag 1974).Google Scholar
18 Quoted from Kreisel, G. Kurt Gödel, 1906-1978, Biographical Memoirs of Fellows of the Royal Society, 26, 1980.Google Scholar
