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Andrzej Mostowski was one of the leading 20th century logicians. His legacy is examined in this volume of papers devoted both to his extraordinary scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and person. Professor Mostowski pioneered and mastered many areas of mathematical logic. His contributions spanned set theory, recursion theory, and model theory - the backbone of the foundations of mathematics. The complete detailed bibliography of Mostowski's writings is included. For many years after WWII and especially in the late sixties and until his untimely death in 1975, Warsaw, where he led the centre of foundational studies, was a place where many leading logicians visited, studied, and started their career. Their memories form an important part of this volume, attempting to bring back the extraordinary achievements and personality of Mostowski.

Anyone wanting to see the roots of current applications of logic, be it in mathematics, computer science or philosophy, will find in this collection of articles plenty of helpful, stimulating and inspiring material both in science and about the social environment in which science is made.

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The famous theory of undecidable sentences created by Kurt Godel in 1931 is presented as clearly and as rigorously as possible. Introductory explanations beginning with the necessary facts of arithmetic of integers and progressing to the theory of representability of arithmetical functions and relations in the system (S) prepare the reader for the systematic exposition of the theory of Godel which is taken up in the final chapter and the appendix. ... Read more