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Stephen Cole Kleene [1909-1994] American
Rank: 105
Mathematician


Stephen Cole Kleene /ˈkliːniː/ KLEE-nee was an American mathematician. One of the students of Alonzo Church, Kleene, along with Alan Turing, Emil Post, and others, is best known as a founder of the branch of mathematical logic known as recursion theory, which subsequently helped to provide the foundations of theoretical computer science. 


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As I say, there was this movement to try to bring philosophers and mathematicians together into an organization where they would talk to each other. An organization wasn't effective unless you had a journal. That's about all I know.
101
I read one or two other books which gave me a background in mathematics other than logic.
102
Those three years ended with June 1933. At that time I left Princeton, having submitted my Ph.D. thesis.
103
I had a liberal arts education at Amherst College where I had two majors, mathematics and philosophy.
104
I think that after Church got his Ph.D. he studied in Europe, maybe in the Netherlands, for a year or two.
105
When I got to Princeton I made a point of attending the Philosophy Club and listening to the lectures, but I didn't get involved in any discussions in those clubs. I guess after the first year, I dropped that.
106
In the fall term of 1933-34 I was on my family farm in Maine.
107
I went to Princeton in the fall of 1930 as a half-time instructor.
108
I think Veblen had an interest in logic.
109
I had some hesitations about philosophy because, if you worked out a philosophical theory, it was hard to know whether you were going to be able to prove it or whether other theories had just as good a claim on belief.
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Well, I think Barkley and I were the only two who were working with Church for a Ph.D.
111
The job in Wisconsin was the first genuine offer of an academic job in a university which I received.
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It wasn't until my second year that I got to actually work with Church.
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I'm sure Church got some of his ideas from this trip to Europe.
114
I went to Princeton from Amherst, where I split my interests between mathematics and philosophy.
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I don't think Post often came to Princeton during the '30s. I can't remember ever seeing him in Princeton.
116
Here at Wisconsin we didn't get an undergraduate course in mathematical logic until the '60s.
117
For example, the philosophers who were interested in logic were probably rather logical for mathematicians. But the ASL got us together, so we could talk to each other and publish in the same journal.
118
And what I learned in Church's course. He trained us intensively in his new system, which he was just developing. Two papers were presented. I think the second paper wasn't published until well after the course was finished.
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