Communicators prefer polish notation, reading off the parse tree in their heads. Listeners prefer reverse polish (evaluate as you go, less stack required). More human languages are reverse polish (favor listener). More computer/math is polish (favor speaker).
Let's spend less time arguing about stats and more time arguing about how averaging ordinal numbers is at best poorly defined (at worst complete nonsense) and plays a major part in nearly everyone's lives from GPAs to performance reviews!
Is A,A,D,A really the same as A,A,C,B?
Inductive arguments are *actually weaker* than more direct arguments. It means your result doesn't apply to non-well-founded objects, or to more heterogeneous structures (not built only out of the building blocks you allowed in your induction). This can easily matter in software.
@ObjectOfObjects@davidmanheim It used to be the case that if I paid attention, I'd often notice that I was playing music in my head, usually somewhat original (not just playing back exact recordings), and can add new instruments. So I find this a priori "not that hard". But of course that may not be typical.
@ObjectOfObjects@davidmanheim Or the music isn't very original. Also, maybe the precise notes aren't perfectly defined - that's sometimes true for me when I imagine music. But I think the whole thing quite plausible. Dreams generally involve much greater creativity than can easily be consciously manifested.
Think what you will of the simulation hypothesis -- fiction is a biased sample, entirely favoring universes simulated at low fidelity and showing signs of a designer's hand.
@preinfarction Hard to say if the update has to be favorable for x on the whole, since this seems to be a logical-uncertainty update rather than a Bayesian update.
@preinfarction So "x refutes its own justification" doesn't seem like an argument against x, rather, an argument against the position which the justification assumed - which will usually be an anti-x position, if the pyrrhonian example is typical. So, favourable sign for x.
Travel to a neighboring town. Treat it like a foreign country. Try to learn the language and customs. Make fast friends with the locals. Sample the food. Return home forever changed. Write a popular travel guide.
Paying more than a dollar in a dollar auction doesn't automatically make you irrational. Only if you'd predictable do so. This is a bit similar to the observation that waiting time distributions in no way have to reduce expected time left as you wait.