Either that or Eliezer anticipated this train of thought (not unlikely) and is playing at the second level (slightly unlikely). Multiplying that out, the probability is miniscule.
Eh, by now you know you overthought this. Eliezer could have just meant that he knew there was a trial coming up, or that the song in question mentions the word “hat”, or a number of other possibilities.
Seriously, don’t limit the hypothesis space to “Either my current theory is exactly right to the letter” or “Eliezer tricked me into thinking the current theory is exactly right to the letter”. It’s always possible that the other guy just meant something different, no deception involved.
When you have eliminated the impossible, that which remains is often more improbable than your having made a mistake with one of your impossiblity proofs.
(However, if the Sorting Hat is summoned again, during the trial, this time with Pervenit Judex, I shall be very, very, tempted to conclude that Eliezer is just trolling us.)
Yes, it is.
Either that or Eliezer anticipated this train of thought (not unlikely) and is playing at the second level (slightly unlikely). Multiplying that out, the probability is miniscule.
Eh, by now you know you overthought this. Eliezer could have just meant that he knew there was a trial coming up, or that the song in question mentions the word “hat”, or a number of other possibilities.
Seriously, don’t limit the hypothesis space to “Either my current theory is exactly right to the letter” or “Eliezer tricked me into thinking the current theory is exactly right to the letter”. It’s always possible that the other guy just meant something different, no deception involved.
Lesson learned:
(However, if the Sorting Hat is summoned again, during the trial, this time with Pervenit Judex, I shall be very, very, tempted to conclude that Eliezer is just trolling us.)
Eleizer is always playing at one level higher than you…
Even after you’ve accounted for the fact that Eliezer is always playing at one level higher than you.
Reminds me of this.
In this case, yes.