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==Early years, education, and professional career== Euwe was born in the [[Watergraafsmeer]], in [[Amsterdam]]. He studied [[mathematics]] at the [[University of Amsterdam]] under the founder of [[intuitionistic logic]], [[L.E.J. Brouwer]] (who later became his friend and for whom he held a funeral oration), and earned his doctorate in 1926 under [[Roland Weitzenböck]].<ref>{{MathGenealogy|id=61173|name=Machgielis Euwe}}</ref> He taught mathematics, first in [[Rotterdam]], and later at a girls' Lyceum in Amsterdam. After [[World War II]], Euwe became interested in computer programming and was appointed professor in this subject at the universities of [[Erasmus University Rotterdam|Rotterdam]] and [[University of Tilburg|Tilburg]], retiring from Tilburg University in 1971. He published a mathematical analysis of the game of chess from an [[Intuitionistic logic|intuitionistic]] point of view, in which he showed, using the [[Thue–Morse sequence]], that the then-official rules (in 1929) did not exclude the possibility of infinite games.<ref>{{Cite news |last= Euwe |first= M. |year= 1929| title= Mengentheoretische Betrachtungen über das Schachspiel |periodical= Proc. Konin. Akad. Wetenschappen |location= Amsterdam |volume= 32 |issue= 5 |pages= 633–642 }}.</ref>
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