The papers collected during this booklet have been released over a interval of greater than two decades in generally scattered journals. They ended in the invention of randomness in mathematics which was once offered within the lately released monograph on “Algorithmic info concept” by means of the writer. There the most powerful attainable model of Gödel's incompleteness theorem, utilizing an information-theoretic technique in line with the scale of machine courses, was once mentioned. the current booklet is meant as a spouse quantity to the monograph and it'll function a stimulus for paintings on complexity, randomness and unpredictability, in physics and biology in addition to in metamathematics.
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