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:
“Accept life, take it as it is? Stupid. The means of doing otherwise? Far from our having to take it, it is life that possesses us and on occasion shuts our mouths.”
—Albert Camus (19131960)
“My life I never held but as a pawn
To wage against thine enemies nor fear to lose it,
Thy safety being motive.”
—William Shakespeare (15641616)
“Therefore I tell you, do not worry about your life, what you will eat or what you will drink, or about your body, what you will wear. Is not life more than food, and the body more than clothing? Look at the birds of the air; they neither sow nor reap nor gather into barns, and yet your heavenly Father feeds them. Are you not of more value than they?”
—Bible: New Testament, Matthew 6:25.26.
Jesus.