mavant
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Third obvious possibility: B maximises u~Σpivi, subject to the constraints E(Σpivi|B) ≥ E(Σpivi|A) and E(u|B) ≥ E(u|A). where ~ is some simple combining operation like addition or multiplication, or "the product of A and B divided by the sum of A and B".
I think these possibilities all share the problem that the constraint makes it essentially impossible to choose any action other than what A would have chosen. If A chose the action that maximized u, then B cannot choose any other action while satisfying the constraint E(u|B) ≥ E(u|A) unless there were multiple actions that had the exact same payoff (which seems unlikely if payoff values are distributed over the reals, rather than over a finite set). And the first possibility (to maximize u while respecting E(Σpivi|B) ≥ E(Σpivi|A) ) just results in choosing the exact same action as A would have chosen, even if there's another action that has an identical E(u) AND higher E(Σpivi).
The Ace is in both statements and both statements cannot be true as per the requirement.
No.
deal :: IO CardHand
deal = do
x <- randomBoolean
if x
then generateHandsContainingEitherOrBothOf (King, Ace)
else generateHandsContainingEitherOrBothOf (Queen, Ace)
Asking a trick question and then insisting on a particular reading does not constitute evidence of a logical fallacy being committed by the answerer.
1-3-2 in descending order of difficulty
If Despotism failed only for want of a capable benevolent despot, what chance has Democracy, which requires a whole population of capable voters?
I don't really understand how this could occur in a TDT-agent. The agent's algorithm is causally dependent on '(max $5 $10), but considering the counterfactual severs that dependence. Observing a money-optimizer (let's call it B) choosing $5 over $10 would presumably cause the agent (call it A) to update its model of B to no longer depend on '(max $5 $10). Am I missing something here?
Don't know if this has been suggested before, but:
Possibility: Harry's "Father's rock" is the Resurrection Stone. Giving this one low probability, since it has thus far demonstrated no other magical properties, and just seems like a way to get Harry to grind his Transfiguration and mana stats.
Possibility: Harry's "Father's rock" is the Philosopher's Stone. Giving this one even lower probability.
Possibility: The Philosopher's Stone is actually the Resurrection stone, or a similar magical construct. Middling probability; Dumbledore refers to Flamel insisting "the Stone" be kept at Hogwarts, but never mentions the Philosopher's Stone; it seems quite plausible that all of the "Philosopher's Stone" rumors are in fact obfuscations about the true nature of... (read more)
Can't be Harry's blood; at age eleven he's certainly got less than 3 litres (if he weighs ~80 pounds), possibly little more than two (can't recall if HJPEV is as skinny as Canon!HP). If you cut off a limb, he might have as much one litre "spill" out, but the rest would just sort of... dribble in spurts.
It's a shame you retracted this, because I wanted to +1 it.
That ritual required quite a number more components... But then, it didn't WORK, so perhaps Burgess and his order meant to perform the one Quirrell meant.
This is my headcanon, now.
The fact that it's the same phrasing used in the literature is really concerning, because it means the interpretation the literature gives is wrong: Many subjects may in fact be generating a mental model (based on deductive reasoning, no less!) which is entirely compatible with the problem-as-stated and yet which produces a different answer than the one the researchers expected.
One could certainly write '(Ace is present OR King is present) XOR (Queen is present OR Ace is present)' which trivially reduces to '(King is present OR Queen is present) AND (Ace is not present)', but that gives the game away a bit - as perhaps it should! The fact that phrasing the... (read more)