If this were true that the concept of „indexical sample space“ does not capture the thirder position, how do you explain that it produces exactly the same probabilities that thirders entertain? Operating with indexicals is a necessary condition (and motivation) for Thirdism, which means assuming indexical sample spaces when it comes to the mathematical formalization of arguments in terms of probability theory. To my knowledge no relevant thirder literature denies that. And within the thirder model, these probabilities indeed hold true. If we assume Monday and Tuesday to be mutually exclusive, then this is mathematically the case. Math is not a judge of our assumptions here, it is merely the executive organ which in this case produces thirder probabilities. The point at issue is whether the theoretical assumptions of the thirder model fit reality and probabilities could be transfered into the real world. Thirders say yes, speaking of regular probabilities, halfers say no speaking of irregular, „weighted“ probabilities.
If this were true that the concept of „indexical sample space“ does not capture the thirder position, how do you explain that it produces exactly the same probabilities that thirders entertain? Operating with indexicals is a necessary condition (and motivation) for Thirdism, which means assuming indexical sample spaces when it comes to the mathematical formalization of arguments in terms of probability theory. To my knowledge no relevant thirder literature denies that. And within the thirder model, these probabilities indeed hold true. If we assume Monday and Tuesday to be mutually exclusive, then this is mathematically the case. Math is not a judge of our assumptions here, it is merely the executive organ which in this case produces thirder probabilities. The point at issue is whether the theoretical assumptions of the thirder model fit reality and probabilities could be transfered into the real world. Thirders say yes, speaking of regular probabilities, halfers say no speaking of irregular, „weighted“ probabilities.