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Justifying Typicality Measures of Boltzmannian Statistical Mechanics and Dynamical Systems
typicality probability Boltzmann statistical mechanics dynamical systems ergodic epsilon-ergodic translation-continuous translation-close
2016/6/15
A popular view in contemporary Boltzmannian statistical mechanics is to interpret the measures as typicality measures. In dynamical systems theory measures can similarly be interpreted as typicality m...
Justifying Definitions in Mathematics—Going Beyond Lakatos
definitions in mathematics justification of definitions Lakatos mathematical reasoning
2009/4/27
This paper addresses the actual practice of justifying definitions in mathematics. First, I introduce the main account of this issue, namely Lakatos's proof-generated definitions. Based on a case stud...