Symmetry, Invariance and Ontology in Physics and Bayesian Statistics
نویسنده
چکیده
This paper has two main objectives: (a) Discuss the formal analogy between some important symmetry–invariance arguments used in physics, probability and statistics. Specifically, we will focus on Noether theorems in physics, maximum entropy principle in probability theory, and de Finetti type theorems in Bayesian statistics. (b) Discuss the epistemological and ontological implications of these theorems, as they are interpreted in physics and statistics. Specifically, we will focus on the positivist (in physics) or subjective (in statistics) vs objective interpretations that are suggested by the mathematical results in topic (a). Some ideas of the physicist and philosopher Max Born will be particularly important in our discussion.
منابع مشابه
Symmetry, Invariance and Ontology in Physics and Statistics
This paper has three main objectives: (a) Discuss the formal analogy between some important symmetry-invariance arguments used in physics, probability and statistics. Specifically, we will focus on Noether’s theorem in physics, the maximum entropy principle in probability theory, and de Finetti-type theorems in Bayesian statistics; (b) Discuss the epistemological and ontological implications of...
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