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A Game Theoretic Argument For Ockham's Conor Mayo-Wilson
 

Summary: A Game Theoretic Argument For Ockham's
Razor
Conor Mayo-Wilson
December 17, 2009
Contents
1 Simplicity Defined 9
1.1 Linguistic Simplicity . . . . . . . . . . . . . . . . . . . . . . . . . 12
1.1.1 Syntactic Simplicity . . . . . . . . . . . . . . . . . . . . . 12
1.1.2 Semantic Simplicity . . . . . . . . . . . . . . . . . . . . . 18
1.2 Falsifiability and Testability . . . . . . . . . . . . . . . . . . . . . 19
1.3 Simplicity as Unification . . . . . . . . . . . . . . . . . . . . . . . 23
2 KGS Model 29
2.1 Empirical Effects, Problems, and Worlds . . . . . . . . . . . . . . 29
2.1.1 An Example - Causal Discovery . . . . . . . . . . . . . . . 31
2.2 Simplicity, Ockham's Razor, and Scientific Methods . . . . . . . 34
2.2.1 Methods and Simplicity in Causal Discovery . . . . . . . 36
2.2.2 A Brief Discussion of the KGS definition of simplicity . . 37
2.3 Costs of Inquiry and the Efficiency Theorem . . . . . . . . . . . . 38
3 Randomized Strategies and Ockham's Razor 44
3.1 Strategic Games . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

  

Source: Andrews, Peter B. - Department of Mathematical Sciences, Carnegie Mellon University

 

Collections: Mathematics