Anatoly_Vorobey comments on Open thread for December 17-23, 2013 - Less Wrong

5 Post author: ciphergoth 17 December 2013 08:45PM

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Comment author: Anatoly_Vorobey 18 December 2013 09:42:49PM 0 points [-]

Let A = "pi is normal", and B = "pi includes in it as a contiguous block the first 2^128 digits of e". B is more likely to be provable in ZFC, simply because A requires B but not vice versa. A is vastly more likely to be proven by 2050. Is this a valid example, or do you see it as cheating in some way?

I'm not sure if this question is meaningful/interesting. It may be, but I'm not seeing it.

Comment author: JoshuaZ 19 December 2013 02:13:40AM 4 points [-]

Suggested repair of your example: A= "Pi is normal" and B= "Pi includes as a contiguous block the first 2^128 digits of e within the first Ackermann(8) digits" which should do something similar.

Comment author: Oscar_Cunningham 18 December 2013 10:25:53PM 4 points [-]

Doesn't the fact that A implies B mean that it's very easy to prove B once you've proved A?

Comment author: Anatoly_Vorobey 18 December 2013 10:46:17PM 4 points [-]

You're right, I blundered and this example is no good.