Wikipedia:Reference desk/Archives/Miscellaneous/2024 February 8

= February 8 =

Anyone know this quote?
Hello! I was wondering if anyone knew who said, ‘Beware the moment you think yourself wise, for you may have just become a fool.’ I searched Wikiquote and Wikipedia, but nothing turned up.

Thanks, Shadestar474   (talk)  00:01, 8 February 2024 (UTC)
 * Seems very similar but not exactly a passage from Corinthians in the Bible:  RudolfRed (talk) 01:04, 8 February 2024 (UTC)
 * Yes, that’s it! Thank you, @RudolfRed. Shadestar474   (talk)  02:54, 8 February 2024 (UTC)

Can A and B be true at the same time, without C being true?
Can A and B be true at the same time, without C being true? A-There is a list of things X, that if any of the things at this list X is happening, this means there is 100% chance Y is happening. List X have all such things that would mean there is 100% chance Y is happening, excluding Y itself. B-Y is happening. C-This means the list X has no items, or something from the list X is happening. 177.207.99.88 (talk) 01:44, 8 February 2024 (UTC)
 * Y might be happening for a reason unrelated to the list in A, so C would be false. RudolfRed (talk) 01:58, 8 February 2024 (UTC)
 * A concrete counterexample. List X contains exactly one thing. It is: "there is an elephant in the room". Y is, "there is an elephant in the house". If there is an elephant in the room, there is certainly an elephant in the house. So if anything on list X is happening, this means that Y is happening: condition A is satisfied. Now, actually, there is indeed an elephant in the house, so condition B is satisfied, but it is in the hallway, not in the room. Now A and B are true, but since the elephant is not in the room, nothing on list X is happening, so C is false. --Lambiam 12:17, 8 February 2024 (UTC)
 * I see that you wrote, "List X have all such things that would mean there is 100% chance Y is happening." In giving my response above I overlooked the word "all". If X is comprehensive, containing truly everything that entails Y, then Y is itself one of the things on list X. So if B is satisfied and Y is happening, something on list X is happening – to wit, Y. In this interpretation of A, A and B together imply C. --Lambiam 19:49, 8 February 2024 (UTC)
 * You didn't miss the word "all". It was added after your reply.   RudolfRed (talk) 20:23, 8 February 2024 (UTC)
 * Yes, I edited the text to fix a mistake (I assumed the text was clear enough to show that list X would have "all such things excluding Y",) and edited again to fix another mistake (exclude Y itself from the list X).177.207.99.88 (talk) 21:49, 8 February 2024 (UTC)
 * By the principle of explosion, any statement follows from a falsehood (such as "2 + 2 = 5"). Let Y be a true statement (such as "2 + 2 = 4") and let X consist of all (and only) false statements (such as "2 + 2 = 3", "2 + 2 = 5", "7 = 77", and so on). Since Y is true, it is not on list X. Yet every statement on X, being false, implies Y, so A is satisfied. Y is true, so B is satisfied. List X is not empty, and everything on X is false, so C is not satisfied. This contradicts that A and B together imply C. --Lambiam 01:13, 9 February 2024 (UTC)