Philosophical Applications of Kolmogorov's Complexity Measure
Itzhak Gilboa
No 923, Discussion Papers from Northwestern University, Center for Mathematical Studies in Economics and Management Science
Abstract:
Kolmogorov has defined the complexity of a sequence of bits to be the minimal size of (the description of) a Turing machine which can regenerate the given sequence. This paper contains two notes on possible applications of this complexity notion to philosophy in general and the philosophy of science in particular. The first presents simplicism--a theory prescribing that people would tend to choose the simplest theory to explain observations, where "simple" is defined by (a version of) Kolmogorov's measure. The second suggests a reinterpretation of a simple observation, saying that reality is almost surely too complex to understand, terms such as "good" and "evil" almost surely too complex to define, and so forth.
Date: 1990-10
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Working Paper: Philosophical Applications of Kolmogorov's Complexity Measure (1994)
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