I didn't intend it as much of an ad hominem, after all both groups in the comparison are so far quite unprepared for the undertaking they're trying to do. Just trying to find ways to try to describe the cultural mismatch that seems to be going on here.
I understand that math is starting to have some stuff dealing with how to make good maps from a territory. Only that's inside the difficult and technical stuff like Jaynes' Probability Theory or Pearl's Causality, instead of somebody just making a nice new logical calculus with an operator for doing induction. There's already some actual philosophically interesting results like an inductive learner needing to have innate biases to be able to learn anything.
That's a good result. However, the necessity of innate biases undermines the notion of rationality, unless we have a system for differentiating the rational cognitive faculty from the innately biased cognitive faculty. I am proposing that this differentiation faculty be rational, hence "Metarationality".
In the Cartesian coordinate system I devised object-level entities are projected as vectors. Vectors with a positive Y coordinate are rational. The only defined operation so far is addition: vectors can be added to each other. In this metasystem w...
I've seen there's discussion on LW about rationality, namely, about what it means. I don't think a satisfactory answer can be found without defining what rationality is not. And this seems to be a problem. As far as I know, rationality on LW does not include systematic methods for categorizing and analyzing irrational things. Instead, the discussion seems to draw a circle around rationality. Everyone on LW is excepted to be inside this circle - think of it as a set in a Venn diagram. On the border of the circle there is a sign saying: "Here be dragons". And beyond the circle there is irrationality.
How can we differentiate the irrational from the rational, if we do not know what the irrational is?
But how can we approach the irrational, if we want to be rational?
It seems to me there is no way to give a satisfactory account of rationality from within rationality itself. If we presuppose rationality is the only way to attain justification, and then try to find justification for rationalism (the doctrine according to which we should strive for rationality), we are simply making a circular argument. We already presupposed rationalism before trying to find justification for doing so.
Therefore it seems to me we ought to make a metatheory of rationality in order to find out what is rational and what is irrational. The metatheory itself has to be as rational as possible. That would include having an analytically defined structure, which permits us to at least examine whether the metatheory is logically consistent or inconsistent. This would also allow us to also examine whether the metatheory is mathematically elegant, or whether the same thing could be expressed in a simpler form. The metatheory should also correspond with our actual observations so that we could figure out whether it contradicts empirical findings or not.
How much interest is there for such a metatheory?