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Jiro comments on Is That Your True Rejection? - Less Wrong
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All right, I can accept that. So what does it connote, by your reckoning?
Generally, that you would be less likely to reject it if X were true, and a couple of other ideas:
X is specific to your rejectiion--that is, that the truthfulness of X affects the probability of your rejection to a much larger degree than it affects the probability of other propositions that are conceptually distant.
The line of reasoning from X to reducing the probability of your rejection proceeds through certain types of connections, such as ones that are conceptually closer.
The effect of X is not too small, where "not to small" depends on how strongly the other factors apply.
(Human beings, of course, have lots of fuzzy concepts.)