# Mathematician:Alonzo Church

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## Contents

## Mathematician

American mathematician who pioneered in the field of computability theory and the foundations of computer science.

Best known for his lambda calculus, Church's Theorem and Church's Thesis.

## Nationality

American

## History

- Born: June 14, 1903
- Died: August 11, 1995

## Theorems and Definitions

- Lambda Calculus
- Church's Theorem
- Church's Thesis (otherwise known as the Church-Turing Thesis, with Alan Turing)
- Church-Turing-Deutsch Principle (a stronger version of the Church-Turing Thesis formulated by David Elieser Deutsch)
- Church-Rosser Theorem (with John Barkley Rosser Sr.)

Results named for **Alonzo Church** can be found here.

Definitions of concepts named for **Alonzo Church** can be found here.

## Publications

- 1925:
*On irredundant sets of postulates* - 1926:
*On the form of differential equations of a system of paths* - 1927:
*Alternatives to Zermelo's assumption*(his Ph.D. dissertation)

- 1932:
*A set of Postulates for the Foundation of Logic*(*Ann. Math.***Vol. 32**,*no. 33*: pp. 346 – 366)

- 1936: Founded the
*Journal of Symbolic Logic*which he edited till 1979

- March 1936:
*A Note on the Entscheidungsproblem*(*Journal of Symbolic Logic***Vol. 1**,*no. 1*: pp. 40 – 41) (in which Church's Theorem is presented) www.jstor.org/stable/2269326

- May 1936:
*Some properties of conversion*(*Trans. Amer. Math. Soc.***Vol. 39**,*no. 3*: pp. 472 – 482) (with J.B. Rosser) (in which Church-Rosser Theorem is presented) www.jstor.org/stable/1989762

- 1936:
*An Unsolvable Problem of Elementary Number Theory*(*Amer. J. Math.***Vol. 58**: pp. 345 – 363) (in which Church's Thesis is presented)

- 1940:
*On the concept of a random sequence* - 1940:
*A formulation of the simple theory of types* - 1941:
*The Calculi of Lambda-Conversion* - 1944:
*Introduction to Mathematical Logic* - 1951:
*A formulation of the logic of sense and denotation* - 1956:
*Introduction to Mathematical Logic*(expanded edition) - 1965:
*Remarks on the elementary theory of differential equations as area of research* - 1966:
*A generalization of Laplace's transformation* - 1971:
*Set theory with a universal set*(a variant of ZF-type axiomatic set theory) - 1976:
*Comparison of Russell's resolution of the semantical antinomies with that of Tarski*

## Sources

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**Church, Alonzo**(1903-95) - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**Church, Alonzo**(1903-95)