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Unformatted text preview: Philosophy of Physics An Empirical Approach to Symmetry and Probability Jill North February 13, 2012 Introduction- Example: a die, each side should have 1/6 of a chance of showing up o You might think that there can be no chances other than 0 or 1 if the laws are deterministic; or that there are no objective probabilities at all in the world- Indifference principle: infer a distribution that is indifferent among the outcomes which, for all we know, could obtain- Symmetric probability basically states that theres no reason to believe the chances are tipped in one direction Symmetric probability: classical physics- Classical statistical mechanics- Boltzmannian framework: different approaches?- Phase space (statespace): microstates, macrostates, etc.- A probability distribution is placed over the region in phase space corresponding to its macrostate (Lebesque measure) equal probabilities to equal phase space volumes on the standard measure- Thermodynamic phenomena thermal equilibrium...
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- Spring '12