I've spent so much time in the cogsci literature that I know the LW approach to rationality is basically the mainstream cogsci approach to rationality (plus some extra stuff about, e.g., language), but... do other people not know this? Do people one step removed from LessWrong — say, in the 'atheist' and 'skeptic' communities — not know this? If this is causing credibility problems in our broader community, it'd be relatively easy to show people that Less Wrong is not, in fact, a "fringe" approach to rationality.
For example, here's Oaksford & Chater in the second chapter to the (excellent) new Oxford Handbook of Thinking and Reasoning, the one on normative systems of rationality:
Is it meaningful to attempt to develop a general theory of rationality at all? We might tentatively suggest that it is a prima facie sign of irrationality to believe in alien abduction, or to will a sports team to win in order to increase their chance of victory. But these views or actions might be entirely rational, given suitably nonstandard background beliefs about other alien activity and the general efficacy of psychic powers. Irrationality may, though, be ascribed if there is a clash between a particular belief or behavior and such background assumptions. Thus, a thorough-going physicalist may, perhaps, be accused of irrationality if she simultaneously believes in psychic powers. A theory of rationality cannot, therefore, be viewed as clarifying either what people should believe or how people should act—but it can determine whether beliefs and behaviors are compatible. Similarly, a theory of rational choice cannot determine whether it is rational to smoke or to exercise daily; but it might clarify whether a particular choice is compatible with other beliefs and choices.
From this viewpoint, normative theories can be viewed as clarifying conditions of consistency… Logic can be viewed as studying the notion of consistency over beliefs. Probability… studies consistency over degrees of belief. Rational choice theory studies the consistency of beliefs and values with choices.
They go on to clarify that by probability they mean Bayesian probability theory, and by rational choice theory they mean Bayesian decision theory. You'll get the same account in the textbooks on the cogsci of rationality, e.g. Thinking and Deciding or Rational Choice in an Uncertain World.
Samuels et al.'s Ending the Rationality Wars is a good paper and I generally agree with it. Though Samuels et al. mostly show that the dispute between the two groups has been exaggerated, they do acknowledge that Gigerenzer's frequentism leads him to have different normative standards for rationality than what Stein (1996) called the "Standard Picture" in cognitive science. LessWrong follows the Standard Picture. Moreover, some of the criticisms of Gigerenzer & company given here still stand.
I skimmed chapter 5 of How the Mind Works but didn't see immediately the claims you might be referring to — ones that disagree with the Standard Picture and Less Wrong.
I don't have access to Stein, so this may be a different issue entirely. But:
What I had in mind from Pinker was the sections "ecological rationality" (a term from Tooby and Cosmides that means "subject-specific intelligence") and "a trivium."
One key point is that general-purpose rules of reasoning tend to be designed for situations where we know very little. Following them mindlessly is often a stupid thing to do in situations where we know more. Unsurprisingly, specialized mental modules often beat general-purpose ones for th... (read more)