Back to required readings

There is a huge literature on interpreting probability and this is even larger if you just look at examples of how people use it. A really good place to start is to follow the references mentioned in Hajek's encyclopedia article. A heavily overlapping list including lots of book chapters (among other things) can be found on Branden Fitelson's Probability and Induction course website: Syllabus

On the principle of indifference:

• van Fraassen, Indifference: The Symmetries of Probability
• van Fraassen - notes and references from Laws and Symmetry
• Laplace, A Philosophical Essay on Probabilities
• Hacking, Equipossible Theories of Probability
• White, Evidential Symmetry
• Novack, A Defense of the Principle of Indifference
• Norton, Ignorance and Indifference
• Mikkelson, Dissolving the Wine/Water Paradox
• Marinoff, A Resolution of Bertrand's Paradox
• Shakel, Bertrand's Paradox and the Principle of Indifference

• von Mises, Probability, Statistics, and Truth
• Jeffrey, Mises Redux (in Probability and the Art of Judgment)
• van Fraassen, Relative Frequencies
• Hájek, "Mises Redux” — Redux: Fifteen Arguments Against Finite Frequentism
• Hájek, Fifteen Arguments against Hypothetical Frequentism
• Hájek, The Reference Class Problem is Your Problem Too

More readings (a bit unsorted...)

• Williamson, Motivating Objective Bayesianism
• Seidenfeld, Why I am not an Objective Bayesian
• Sober, The Reality of Macro-Probabilities
• Carnap, Two Concepts of Probability
• Carnap, Inductive Logic and Science
• Carnap, Statistical and Inductive Probability
• Maher, The Concept of Inductive Probability

Propensity accounts:

• Eells, Objective Probability Theory Theory
• Humphreys, Why Propensities Cannot be Probabilities