Life
Born in Far Rockaway, New York, he showed musical talent, winning a gold medal in a piano competition when he was aged 12. The following year, his family moved to Manhattan and he attended Theodore Roosevelt High School in The Bronx as this school offered courses suited to his musical talents, but he left to study on his own as the school did not offer similar courses in mathematics.
He attended several colleges, studying mathematics and music.
While a Ph.D. student, Smullyan published a paper in the 1957 Journal of Symbolic Logic showing that Gödelian incompleteness held for formal systems considerably more elementary than that of Gödel's 1931 landmark paper. The contemporary understanding of Gödel's theorem dates from this paper. Smullyan later made a compelling case that much of the fascination with Gödel's theorem should be directed at Tarski's theorem, which is much easier to prove and equally disturbing philosophically. The culmination of Smullyan's lifelong reflection on the classic limitative theorems of mathematical logic is quite readable:
- Smullyan, R M (2001) "Gödel's Incompleteness Theorems" in Goble, Lou, ed., The Blackwell Guide to Philosophical Logic. Blackwell (ISBN 0-631-20693-0).
Smullyan is the author of many books on recreational mathematics, recreational logic, etc. Most notably, one is titled What Is the Name of This Book?.
He was a professor of philosophy at City College in New York.
He is also an amateur astronomer, using a six inch reflecting telescope for which he ground the mirror.
Read more about this topic: Raymond Smullyan
Famous quotes containing the word life:
“The work of art, just like any fragment of human life considered in its deepest meaning, seems to me devoid of value if it does not offer the hardness, the rigidity, the regularity, the luster on every interior and exterior facet, of the crystal.”
—André Breton (1896–1966)
“If music in general is an imitation of history, opera in particular is an imitation of human willfulness; it is rooted in the fact that we not only have feelings but insist upon having them at whatever cost to ourselves.... The quality common to all the great operatic roles, e.g., Don Giovanni, Norma, Lucia, Tristan, Isolde, Brünnhilde, is that each of them is a passionate and willful state of being. In real life they would all be bores, even Don Giovanni.”
—W.H. (Wystan Hugh)
“The child begins life as a pleasure-seeking animal; his infantile personality is organized around his own appetites and his own body. In the course of his rearing the goal of exclusive pleasure seeking must be modified drastically, the fundamental urges must be subject to the dictates of conscience and society, urges must be capable of postponement and in some instances of renunciation completely.”
—Selma H. Fraiberg (20th century)