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Stephen Cole Kleene Biography

Stephen Cole Kleene

Stephen Cole Kleene /ˈkleɪniː/ KLAY-nee (January 5, 1909 – January 25, 1994) was an American mathematician. One of the students of Alonzo Church, Kleene, along with Rózsa Péter, 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. Kleene's work grounds the study of computable functions. A number of mathematical concepts are named after him: Kleene hierarchy, Kleene algebra, the Kleene star (Kleene closure), Kleene's recursion theorem and the Kleene fixpoint theorem. He also invented regular expressions, and made significant contributions to the foundations of mathematical intuitionism.

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Stephen Cole Kleene Quotes

I went to Princeton in the fall of 1930 as a half-time instructor.

1930, Fall, Half Time, Instructor, Princeton

I read one or two other books which gave me a background in mathematics other than logic.

Book, Books, Mathematics, Read, Surfing, Two

I think Veblen had an interest in logic.

Interest, Logic, Think, Thinking

Here at Wisconsin we didn't get an undergraduate course in mathematical logic until the '60s.

Logic, Mathematical, Mathematical Logic, Undergraduate, Wisconsin

I went to Princeton from Amherst, where I split my interests between mathematics and philosophy.

Interests, Mathematics, Philosophy, Splits

I think that after Church got his Ph. D. he studied in Europe, maybe in the Netherlands, for a year or two.

Church, Europe, Studied, Think, Thinking, Years

It wasn't until my second year that I got to actually work with Church.

Actually, Church, Work, Year, Years

In the fall term of 1933-34 I was on my family farm in Maine.

Agriculture, Fall, Family, Maine, Term

The job in Wisconsin was the first genuine offer of an academic job in a university which I received.

Firsts, Genuine, Job, Jobs, University, Wisconsin

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.

Clubs, Listening, Philosophy, Point, Princeton, Years

I don't think Post often came to Princeton during the '30s. I can't remember ever seeing him in Princeton.

Post, Remember, Seeing, Thinking, Vision

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.

Able, Claim, Good, Philosophical, Philosophy, Prove

I'm sure Church got some of his ideas from this trip to Europe.

Church, Europe, Ideas, Journey