You’re saying “objective chance” or “propensity” depends on the information available to the rational agent.
Apparently he is, but it can be rephrased. “What information is available to the rational agent” can be rephrased as “what is constrained”. In the particular example, we constrain the shape of the coin but not ways of throwing it. We can replace “probability” with “proportion” or “fraction”. Thus, instead of asking, “what is the probability of the coin coming up heads”, we can ask, “what proportion of possible throws will cause the coin to come up heads.” Of course, talking about proportion requires the assignment of a measure on the space of possibilities. This measure in turn can be derived from the geometry of the world in much the same way as distance, area, volume, and so on can be derived. That is to say, just as there is an objective (and not merely subjective) sense in which two rods can have the same length, so is there an objective (and not merely subjective) sense in which two sets of possibilities can have the same measure.
You’re saying “objective chance” or “propensity” depends on the information available to the rational agent.
Apparently he is, but it can be rephrased. “What information is available to the rational agent” can be rephrased as “what is constrained”. In the particular example, we constrain the shape of the coin but not ways of throwing it. We can replace “probability” with “proportion” or “fraction”. Thus, instead of asking, “what is the probability of the coin coming up heads”, we can ask, “what proportion of possible throws will cause the coin to come up heads.” Of course, talking about proportion requires the assignment of a measure on the space of possibilities. This measure in turn can be derived from the geometry of the world in much the same way as distance, area, volume, and so on can be derived. That is to say, just as there is an objective (and not merely subjective) sense in which two rods can have the same length, so is there an objective (and not merely subjective) sense in which two sets of possibilities can have the same measure.