The reason is that you don't believe anything with logical conviction, if your "axioms" imply absurdity, you discard the "axioms" as untrustworthy, thus refuting the arguments for their usefulness (that always precede any beliefs, if you look for them). Why do I believe this? My brain tells me so, and its reasoning is potentially suspect.
I think I've found the problem: I don't have any good intuitive notion of absurdity. The only clear association I have with it is under "absurdity heuristic" as "a thing to ignore".
That is: It's not self evident to me that what it implies IS absurd. After all, it was implied by a chain of logic I grok and can find no flaw in.
This is for anyone in the LessWrong community who has made at least some effort to read the sequences and follow along, but is still confused on some point, and is perhaps feeling a bit embarrassed. Here, newbies and not-so-newbies are free to ask very basic but still relevant questions with the understanding that the answers are probably somewhere in the sequences. Similarly, LessWrong tends to presume a rather high threshold for understanding science and technology. Relevant questions in those areas are welcome as well. Anyone who chooses to respond should respectfully guide the questioner to a helpful resource, and questioners should be appropriately grateful. Good faith should be presumed on both sides, unless and until it is shown to be absent. If a questioner is not sure whether a question is relevant, ask it, and also ask if it's relevant.