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

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

Andrzej Mostowski was once one of many top twentieth century logicians. His legacy is tested during this quantity of papers committed either to his awesome medical background and to the reminiscence of him as an outstanding researcher, instructor, organizer of technology and individual. Professor Mostowski pioneered and mastered many parts of mathematical common sense. His contributions spanned set thought, recursion thought, and version conception - the spine of the rules of arithmetic. the entire particular bibliography of Mostowski's writings is incorporated. for a few years after WWII and particularly within the overdue sixties and till his premature demise in 1975, Warsaw, the place he led the centre of foundational stories, used to be a spot the place many major logicians visited, studied, and began their occupation. Their thoughts shape a major a part of this quantity, trying to convey again the extreme achievements and character of Mostowski.

Anyone eager to see the roots of present purposes of good judgment, be it in arithmetic, machine technology or philosophy, will locate during this selection of articles lots of worthy, stimulating and encouraging fabric either in technology and concerning the social atmosphere within which technology is made.

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Extra resources for Andrzej Mostowski and Foundational Studies

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Professor Mostowski spent the summer of 1975 in Berkeley and then visiting Małgorzata Dubiel-Lachlan and Alistair Lachlan in Vancouver. , that he had a stroke and died. He was about to step down as the president of the Union of Logic, Methodology and Philosophy of Sciences. It was again hot in August 1975 in Warsaw. No air-conditioning. I was sitting with Paweł Zbierski in my apartment talking mathematics when the phone-call from Wojtek Guzicki came. He just heard from Małgorzata Dubiel about Mostowski’s death.

Theorems are still proved, but quite often those are motivated not by pure and inapplicable mathematics, but by need to understand the conceptual power of the notion of computation. If one accepts the idea that computer science is nothing but applied logic, then it is very natural to turn to computer science for inspiration. The roll-call of the “big names” of logic throughout the last 50 years is full of people who turned to computer science for at least inspiration, if not for applications of their work.

The morning of my talk, Zbyszek Ra´s (today at Charlotte, NC) came to my room and told me: “Mother told me to lend you a tie”. As usual, she was right – I had none. Meanwhile, the grand vision of logic in Warsaw was spreading in a variety of directions. Professor Rasiowa realized that the foundational problems had shifted; while the foundations of mathematics were important, even more important were the foundations of computer science. All that mathematical logic did for mathematics in a hundred of years had to be done for computer science in a much faster pace.

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