Randomness and Mathematical Proof
Almost everyone has an intuitive notion of what a random number is. For example, consider these two series of binary digits: 01010101010101010101 01101100110111100010 The first is obviously constructed according to a simple rule; it consists of the number 01 repeated ten times. If one were asked to speculate on how the series might continue, one could predict with considerable confidence that the next two digits would be 0 and 1. Inspection of the second series of digits yields no such comprehensive pattern. There is no obvious rule governing the formation of the number, and there is no rational way to guess the succeeding digits. The arrangement seems haphazard; in other words, the sequence appears to be a random assortment of 0's and 1's.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
The Ergodic Hierarchy, Randomness and Hamiltonian Chaos.Joseph Berkovitz, Roman Frigg & Fred Kronz - 2006 - Studies in History and Philosophy of Science Part B 37 (4):661-691.
The Ergodic Hierarchy, Randomness and Hamiltonian Chaos☆.Joseph Berkovitz, Roman Frigg & Fred Kronz - 2006 - Studies in History and Philosophy of Science Part B 37 (4):661-691.
A Note on Monte Carlo Primality Tests and Algorithmic Information Theory.Jacob T. Schwartz - unknown
Schnorr Randomness.Rodney G. Downey & Evan J. Griffiths - 2004 - Journal of Symbolic Logic 69 (2):533 - 554.
Color Charts, Esthetics, and Subjective Randomness.Yasmine B. Sanderson - 2012 - Cognitive Science 36 (1):142-149.
Randomness, Relativization and Turing Degrees.André Nies, Frank Stephan & Sebastiaan A. Terwijn - 2005 - Journal of Symbolic Logic 70 (2):515 - 535.
The Psychological Puzzle of Sudoku.N. Y. Louis Lee, Geoffrey P. Goodwin & P. N. Johnson-Laird - 2008 - Thinking and Reasoning 14 (4):342 – 364.
Added to index2010-12-22
Total downloads92 ( #53,281 of 2,146,491 )
Recent downloads (6 months)1 ( #386,104 of 2,146,491 )
How can I increase my downloads?
There are no threads in this forum
Nothing in this forum yet.