Information, Randomness & Incompleteness - Papers on Algorithmic Information Theory - Second Edition

Although randomness can be precisely defined and can even be measured,a given number cannot be proved to be random. This enigma establishesa limit to what is possible in mathematics.Almost everyone has an intuitive notion of what a random number is.For example, consider these two series of binary digits:01010101010101010101011011001101111000101112 Part I---Introductory/Tutorial/Survey PapersThe first is obviously constructed according to a simple rule; it consistsof the number 01 ...