阿兰德·海廷

(重定向自Arend Heyting

阿兰德·海廷(英语:Arend Heyting,1898年5月9日—1980年7月9日)是荷兰数学家逻辑学家

生平

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1898年生于荷兰阿姆斯特丹,他是鲁伊兹·布劳威尔阿姆斯特丹大学的学生之一,他做了很多工作来使直觉主义逻辑立足于成为数理逻辑一部分。海廷为了整编布劳威尔做数学研究的方法而对直觉主义逻辑做了首次形式开发。把布劳威尔的名字包含在BHK释义中很大程度上是出于尊敬,因为布劳威尔在原则上反对直觉主义逻辑的任何形式化(并进而把海廷的工作称为“无果实验”)。[1]卒于瑞士卢加诺

参见

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引用

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  1. ^ Walter P. van Stigt (1990). Brouwer's Intuitionism. Amsterdam: North Holland.

选定出版物

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  • Heyting, A. (1956) Intuitionism. An introduction. North-Holland Publishing Co., Amsterdam.
  • Heyting, A. (1974) Mathematische Grundlagenforschung, Intuitionismus, Beweistheorie. (German) Reprint. Springer-Verlag, Berlin–New York.
  • Heijting, A. (1973) Address to Professor A. Robinson. At the occasion of the Brouwer memorial lecture given by Prof. A.Robinson on the 26th April 1973. Nieuw Arch. Wisk. (3) 21, pp. 134—137.
  • Heyting, A. (1966) Intuitionism: An introduction. Second revised edition North-Holland Publishing Co., Amsterdam.
  • Heyting, A. (1962) After thirty years. 1962 Logic, Methodology and Philosophy of Science (Proc. 1960 Internat. Congr.) pp. 194—197 Stanford Univ. Press, Stanford, Calif.
  • Heyting, A. (1980) Axiomatic projective geometry. Second edition. Bibliotheca Mathematica [Mathematics Library], V. Wolters-Noordhoff Scientific Publications, Ltd., Groningen; North-Holland Publishing Co., Amsterdam–New York.
  • Heyting, A. (1963) Axiomatic projective geometry. Bibliotheca Mathematica, Vol. V. Interscience Publishers John Wiley & Sons, Inc., New York; P. Noordhoff N.V., Groningen; North-Holland Publishing Co., Amsterdam.
  • Heyting, A. (1959) Axioms for intuitionistic plane affine geometry. The axiomatic method. With special reference to geometry and physics. Proceedings of an International Symposium held at the Univ. of Calif., Berkeley, Dec. 26, 1957–Jan 4, 1958 (edited by L. Henkin, P. Suppes and A. Tarski) pp. 160—173 Studies in Logic and the Foundations of Mathematics North-Holland Publishing Co., Amsterdam.
  • Heyting, A. (1941) Untersuchungen ber intuitionistische Algebra. (German) Verh. Nederl. Akad. Wetensch. Afd. Natuurk. Sect. 1. 18. no. 2, 36 pp.

外部链接

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