Are all snakes equally real (in proportion to their likelihood of existing)? I’m assuming yes in the post, but that leads to weirdness like undefined probabilities, which we’d prefer to avoid. Also, because there are infinite snakes, there would be a zero probability of being any particular snake, or (under SIA) being in any particular batch of snakes.
If we distribute realityfluid to the snakes in differing amounts, to avoid that, then we can probably avoid the undefined probabilities. The probability of having red eyes will depend on the formula for distributing realityfluid. Then instead of saying “the probability is undefined” we can say “the probability depends on this undefined formula”.
Also, because there are infinite snakes, there would be a zero probability of being any particular snake, or (under SIA) being in any particular batch of snakes.
Hot take, but this is actually a valid answer, and in infinite sets/infinite outcome spaces this can actually start mattering.
The classic example is if you pick a number from the number line at random, you will have a 0% chance of picking a rational number, or any number that isn’t a real number.
Are all snakes equally real (in proportion to their likelihood of existing)? I’m assuming yes in the post, but that leads to weirdness like undefined probabilities, which we’d prefer to avoid. Also, because there are infinite snakes, there would be a zero probability of being any particular snake, or (under SIA) being in any particular batch of snakes.
If we distribute realityfluid to the snakes in differing amounts, to avoid that, then we can probably avoid the undefined probabilities. The probability of having red eyes will depend on the formula for distributing realityfluid. Then instead of saying “the probability is undefined” we can say “the probability depends on this undefined formula”.
Hot take, but this is actually a valid answer, and in infinite sets/infinite outcome spaces this can actually start mattering.
The classic example is if you pick a number from the number line at random, you will have a 0% chance of picking a rational number, or any number that isn’t a real number.