Alan Mathison Turing, 1912-1954

@article{Newman1955AlanMT,
  title={Alan Mathison Turing, 1912-1954},
  author={M. H. A. Newman},
  journal={Biographical Memoirs of Fellows of the Royal Society},
  year={1955},
  pages={253 - 263}
}
  • M. Newman
  • Published 1 November 1955
  • History
  • Biographical Memoirs of Fellows of the Royal Society
The sudden death of Alan Turing on 7 June 1954 deprived mathematics and science of a great original mind at the height of its power. After some years of scientific indecision, since the end of the war, Turing had found, in his chemical theory of growth and form, a theme that gave the fullest scope for his rare combination of abilities, as a mathematical analyst with a flair for machine computing, and a natural philosopher full of bold original ideas. The preliminary report of 1952, and the… 

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References

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Some Calculations of the Riemann Zeta-Function

The Manchester University Mark 1 Electronic Computer was used to do some calculations concerned with the distribution of the zeros of the Riemann zeta-function, intended in fact to determine whether there are any zeros not on the critical line in certain particular intervals.

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  • A. Turing
  • Computer Science
    Journal of Symbolic Logic
  • 1948
The present paper is an attempt to present the theory of types in forms in which the types themselves only play a rather small part, as they do in ordinary mathematical argument.

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  • Mathematics
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  • 1942
The present note has been written in the belief that Church's formulation of the simple theory of types' is particularly suitable as a basis for work on that theory, and that it is therefore worth while introducing special conventions which take into account the needs of this particular system.

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  • A. Turing
  • Computer Science, Mathematics
    Journal of Symbolic Logic
  • 1937
The purpose of the present paper is to show that the computable functions introduced by the author are identical with the λ-definable functions of Church and the general recursive functions due to Herbrand and Gödel and developed by Kleene.

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  • A. Turing
  • Environmental Science
    Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences
  • 1952
A possible mechanism by which the genes of a zygote may determine the anatomical structure of the resulting organism is discussed, suggesting that certain well-known physical laws are sufficient to account for many of the facts.

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  • A. Turing
  • Mathematics, Philosophy
    Journal of Symbolic Logic
  • 1937
In the theory of conversion it is important to have a formally defined function which assigns to any positive integer n the least integer not less than n which has a given property. The definition of

On computable numbers, with an application to the Entscheidungsproblem

  • A. Turing
  • Computer Science
    Proc. London Math. Soc.
  • 1937
This chapter discusses the application of the diagonal process of the universal computing machine, which automates the calculation of circle and circle-free numbers.

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A certain sense in which a finite group may be said to approximate the structure of a metrical group will be discussed. On account of Jordan's theorem on finite groups of linear transformations' it

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It will be shown that the word problem in semi-groups with cancellation is not solvable. The method depends on reducing the unsolvability of the problem in question to a known unsolvable problem