Satoshi_Nakamoto comments on Rational vs Reasonable - Less Wrong
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In hindsight, writing a post about Rational vs Reasonable has the unfortunate effect of causing people to ask which is better and how to choose between them, as well as risking causing people to accuse people of being reasonable rather than rational and things of that nature.
These are not good outcomes.
There's a very general issue with "X vs Y" posts, which is that they make the distinction look contentious rather than merely useful. Brienne wrote about this in connection with her Ask Culture vs Guess Culture. A similar failure mode occurs when people debate epistemic vs instrumental rationality.
As nyralech replied, the answer is to use what best serves your goals. The two are not opposed; nor are they allied; nor is it a balancing act between them. Where being reasonable does not serve rationality, the Way opposes your reasonableness; where being reasonable does serve rationality the Way opposes your unreasonableness. "The primary thing when you take a sword in your hands is your intention to cut the enemy, whatever the means." etc.
A wrote a post based on this, see The Just-Be-Reasonable Predicament. The just-be-reasonable predicament occurs when in order to be seen as being reasonable you must do something irrational or non-optimal.