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Notes[1] cf. Charles Simonyi on EDGE quoting Richard Feynman[2] cf. D. Guedj: Nicholas Bourbaki, collective mathematician, an interview with Claude Chevalley, The Mathematical Intelligencer vol. 7, no. 2, 1985. [3] Cf. the two anthologies Philosophy of Mathematics: selected readings edited by P. Benacerraff and H.Putnam, Cambridge University press 1964 and reprinted with some deletions 1985, and J. van Heijenoort's From Frege to G�del; a source book in mathematical logic 1879-1931 Harvard University Press 1971. [4] In a fine essay, entitled "Bemerkungen zu zwei wenig beachteten 'Gedanken' Pascals" ("Remarks on two of Pascal's 'thoughts' that have hitherto received little attention") in his collection Ausgew�hlte Vortr�ge und Aufs�tze (selected talks and essays), Bern 1955 pp. 226-234, the Swiss psychoanalyst and phenomenologist Ludwig Binswanger elaborates on Pascal's "pens�es" (thoughts or reflections) on this topic and substantiates them with clinical experiences pertaining especially to the role played by symmetries in Rorschach tests. [5] cf. chapter III of my G�del's Theorems; a Workbook on Formalization, Teubner Texte zur Mathematik, Stuttgart-Leipzig 1991. [6] Modular elliptic curves and Fermat's Last Theorem, Ann. Math. 141, 1995, 443 551. [7] �ber formal unentscheidbare S�tze der Principia Mathematica und verwandter Systeme Monatshefte f�r Mathematik und Physik 37, 1931,173-198. For a translation see Kurt G�del, Collected Works, Volume 1, ed. S. Feferman et al, Oxford U. Press 1986. [8] cf. p. 39 ff. of the excellent and very readable monograph Undecidable Theories by Tarski, Mostowski and Robinson, North Holland Press 1953. [9] cf. the collected works cited before. |