Andrzej Mostowski and Foundational Studies by A. Ehrenfeucht, V.W. Marek, M. Srebrny

By A. Ehrenfeucht, V.W. Marek, M. Srebrny

Andrzej Mostowski was once one of many major twentieth century logicians. His legacy is tested during this quantity of papers dedicated either to his outstanding medical historical past and to the reminiscence of him as an exceptional researcher, instructor, organizer of technology and individual. Professor Mostowski pioneered and mastered many components of mathematical good judgment. His contributions spanned set concept, recursion conception, and version idea - the spine of the principles of arithmetic. the full special bibliography of Mostowski's writings is incorporated. for a few years after WWII and particularly within the past due sixties and until eventually his premature loss of life in 1975, Warsaw, the place he led the centre of foundational reviews, was once a spot the place many top logicians visited, studied, and began their profession. Their thoughts shape an immense a part of this quantity, trying to carry again the extreme achievements and character of Mostowski.

Anyone desirous to see the roots of present functions of good judgment, be it in arithmetic, desktop technology or philosophy, will locate during this selection of articles lots of precious, stimulating and encouraging fabric either in technological know-how and concerning the social surroundings during which technology is made.

IOS Press is a global technological know-how, technical and clinical writer of top quality books for lecturers, scientists, and execs in all fields.

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Metamathematics of set theory was, doubtless, Professor Mostowski’s greatest love. He returned to it throughout his career. D. and Habilitationsschrift) were devoted to it; he studied the issues related to consistency and independence (in effect the same thing) of various set-theoretic sentences throughout his life. It was no wonder that Cohen’s proof was such a jolt for us. This was truly new mathematics, and we, his collaborators, took to it like fish to water. We wanted to study it in greater detail than the official seminar allowed us to do.

Warsaw was a stronghold of positivism in Poland (so-called Warsaw positivism). In general, positivism created a favourable climate for the philosophy of science, which was closely related to logic at that time, at least in philosophy. Mahrburg, already mentioned, was one of the central figures of Warsaw positivism, and the Kozłowskis (Władysław, 1832– 1899, Władysław Mieczysław, 1858–1932) were other persons interested in logic. The Warsaw positivists paid a great attention to publishing scientific books, translations, as 1 This paper is related to [22,23,25,26]; see also [2,8,9] as other sources about the development of logic and mathematics in Poland, particularly in Warsaw.

A lot of good work was done. F. C. Chang, Hendrik (Henk) Barendregt, Dirk van Dalen, Petr Hajek, Petr Vopenka, Yoshindo Suzuki, George Wilmers, Peter Hinman, Moshe Machover, Kenneth McAloon and many, many others) came to talk to or spend some time with Mostowski. If we could not travel because receiving a coveted passport was a big deal, many people visited and brought the news with them. We were so used to the constant stream of visitors that we could not imagine that it could be different. Of course it could have been, and whenever I think about it I am forever grateful to all those who came to visit and brought with them knowledge and excitement.

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