3 ms·
BB(745) being independent of ZFC isn’t due to incompleteness theorems. It encodes a different theorem which is also independent of ZFC. https://scottaaronson.b
by srcreigh 2y ago
BB(745) being independent of ZFC isn’t due to incompleteness theorems. It encodes a different theorem which is also independent of ZFC.
https://scottaaronson.blog/?p=2725 https://scottaaronson.blog/?p=2725
- Sniffnoy 2y agoWell, that post is about 8000, not 745; but yes, in general, you are not going to use a Gödel sentence when trying to drive down the record. This isn't disagreeing with what I was saying, though; I said incompleteness requires there is some such n, and then also said what we know about the record, I didn't say the record comes from a Gödel sentence.
- srcreigh 2y agoYou are right, sorry about that :-) Hope my comment addresses a common confusion despite its unnecessarily corrective tone.