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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...
Justifying conditionalisation: Conditionalisation maximizes expected epistemic utility
Epistemic rationality conditionalization bayesianism
2008/4/15
According to Bayesian epistemology, the epistemically rational agent updates her beliefs by conditionalisation: that is, her posterior subjective probability after taking account of evidence X, p', is...
Mathematics is not just about identifying what is true or what works but also about explaining why it is true or why it works and convincing others that it is true or that it works. That is, mathemati...