"They've got prior probabilities of 1/INF, remember?  That's equal to zero.  So the metahypothesis thinks it's infinitely unlikely that the fraction of times the ball goes left is exactly equal to 1 or 0.  It never notices that's true, no matter how many examples it sees."

"If it sees 100 balls go left, it'll get a joint prediction of 1/101.  If it sees 10,000 balls go left, it'll get a joint prediction of 1/10,001.  In the limit, the probability that it assigns to a sequence of left-going balls, continuing forever, is 0.  Before you've rolled a single ball, the metahypothesis is already absolutely certain that it won't just go left every time."

"The metahypothesis that the ball has a 50% chance of always going left, and 50% chance of always going right, loses all of its probability and scores negative infinity as soon as it sees any sequence with a mix of left and right balls.  But if you present that metahypothesis with a sequence of balls going left forever, no matter how long that continues, it predicted that with 50% probability from the start."

"They've got prior probabilities of 1/INF, remember?  That's equal to zero.  So the metahypothesis thinks it's infinitely unlikely that the fraction of times the ball goes left is exactly equal to 1 or 0.  It never notices that's true, no matter how many examples it sees."

"If it sees 100 balls go left, it'll get a joint prediction of 1/101.  If it sees 10,000 balls go left, it'll get a joint prediction of 1/10,001.  In the limit, the probability that it assigns to a sequence of left-going balls, continuing forever, is 0.  Before you've rolled a single ball, the metahypothesis is already absolutely certain that it won't just go left every time."

"The metahypothesis that the ball has a 50% chance of always going left, and 50% chance of always going right, loses all of its probability and scores negative infinity as soon as it sees any sequence with a mix of left and right balls.  But if you present that metahypothesis with a sequence of balls going left forever, no matter how long that continues, it predicted that with 50% probability from the start."

"Both those hypotheses have prior probabilities of 1/INF, remember?  That's equal to zero.  So the metahypothesis thinks it's infinitely unlikely that the fraction of times the ball goes left is exactly equal to 1 or 0.  It never notices that's true, no matter how many examples it sees."

"If it sees 100 balls go left, it'll get a joint prediction of 1/101.  If it sees 10,000 balls go left, it'll get a joint prediction of 1/10,001.  In the limit, the probability that it assigns to a sequence of left-going balls, continuing forever, is 0.  Before you've rolled a single ball, the metahypothesis is already absolutely certain that it won't just go left every time."

"The metahypothesis that the ball has a 50% chance of always going left, and 50% chance of always going right, loses all of its probability and scores negative infinity as soon as it sees any sequence with a mix of left and right balls.  But if you present that metahypothesis with a sequence of balls going left forever, no matter how long that continues, it predicted that with 50% probability from the start."

"Both those hypotheses have prior probabilities of 1/INF, remember?  That's equal to zero.  So the metahypothesis thinks it's infinitely unlikely that the fraction of times the ball goes left is exactly equal to 1 or 0.  It never notices that's true, no matter how many examples it sees."

"If it sees 100 balls go left, it'll get a joint prediction of 1/101.  If it sees 10,000 balls go left, it'll get a joint prediction of 1/10,001.  In the limit, the probability that it assigns to a sequence of left-going balls, continuing forever, is 0.  Before you've rolled a single ball, the metahypothesis is already absolutely certain that it won't just go left every time."

"The alternative metahypothesis that the ball has a 50% chance of always going left, and 50% chance of always going right, loses all of its probability and scores negative infinity as soon as it sees any sequence with a mix of left and right balls.  But if you present that metahypothesis with a sequence of balls going left forever, no matter how long that continues, it predicted that with 50% probability from the start."