This is our monthly thread for collecting these little gems and pearls of wisdom, rationality-related quotes you've seen recently, or had stored in your quotesfile for ages, and which might be handy to link to in one of our discussions.
- Please post all quotes separately, so that they can be voted up/down separately. (If they are strongly related, reply to your own comments. If strongly ordered, then go ahead and post them together.)
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No. That example was a metaphor, it is reasonable to explore how its features correlates back to features of the question of interest, which is if it makes sense for you to assign infinitesimal probability to propositions about God.
Then I would update my differential probability distribution using prior conditional probablities that you would make such a claim given that your "random point" is any particular point in the square. This could cause me to conclude that your point is very close to the border with high probability, but not to concentrate all my probablity onto the border itself, which would require that I had infinite information about under which conditions you would make such a statement.
You have not answered my question about if the proposition about God is part of an uncountable space. The rest of this only matters if your answer is yes.
If by "uncountable", you mean of cardinality greater than aleph-nought, then I think that you are using the wrong mathematical machinery. It is measure theory that we are concerned with here, not cardinality.
Ah! But perhaps you are suggesting that I can only formulate a countable number of sentences in my logic and hence that I should be using some kind of Solomonoff prior which necessarily... (read more)