Randomness and Probability
| Abstract | Von Mises thought that an adequate account of objective probability required a condition of randomness. For frequentists, some such condition is needed to rule out those sequences where the relative frequencies converge towards definite limiting values, and where it is nevertheless not appropriate to speak of probability … [because such a sequence] obeys an easily recognizable law (von Mises, Probability, Statistics, and Truth). But is a condition of randomness required for an adequate account of probability, given the existence of decisive arguments against frequentism? To put it another way: is it characteristic of the probability role that probability should have a connection to randomness? I will answer this question in the negative | |||||||||
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S. Cannavo (1966). Extensionality and Randomness in Probability Sequences. Philosophy of Science 33 (1/2):134-.
Antony Eagle, Chance Versus Randomness. Stanford Encyclopedia of Philosophy.
Patrick Suppes (2010). The Nature of Probability. Philosophical Studies 147 (1).
Raymond Nickerson (2005). Bertrand's Chord, Buffon's Needle, and the Concept of Randomness. Thinking and Reasoning 11 (1):67 – 96.
T. V. Reeves (1988). A Theory of Probability. British Journal for the Philosophy of Science 39 (2):161-182.
Byron E. Wall (2005). Causation, Randomness, and Pseudo-Randomness in John Venn'slogic of Chance. History and Philosophy of Logic 26 (4):299-319.
Richard E. Neapolitan (1992). A Limiting Frequency Approach to Probability Based on the Weak Law of Large Numbers. Philosophy of Science 59 (3):389-407.
Henry E. Kyburg (1963). Probability and Randomness. Theoria 29 (1):27-55.
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