Tetronian comments on Best career models for doing research? - Less Wrong
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Even Nick Bostrom, who is arguably the leading expert on anthropic problems, rejects SIA for a number of reasons (see his book Anthropic Bias). That alone is a pretty big blow to its credibility.
That is curious. Anyway, the self-indication assumption seems fairly straight-forwards (as much as any anthropic reasoning is, anyway). The critical material from Bostrom on the topic I have read seems unpersuasive. He doesn't seem to "get" the motivation for the idea in the first place.