Being in a casino in a vacuum in a vacuum with no money to play with.
Does the set of all sets contain itself?
schmittd wrote:So here is my impossible question: Is Premise 1 true?
Follow up question: Can we ever know anything with absolute certainty?
Extra Credit: Is it possible to know something without proving that it is true? If so, what do you know, and why do you not need to prove it?
Maximirobbes wrote:schmittd wrote:So here is my impossible question: Is Premise 1 true?
Follow up question: Can we ever know anything with absolute certainty?
Extra Credit: Is it possible to know something without proving that it is true? If so, what do you know, and why do you not need to prove it?
Question #1: It is neither true nor untrue. It is a paradox like you stated. Good thing paradoxes never happen. If Pinocchio said "My nose will grow longer." what would happen? Chainsaw mode? Nothing? Explosion? If he said that, who knows what would happen, so good thing there aren't puppets with lie-detecting noses.
Question #2: We can in fact know some things with certainty. I have thought about this a lot, and I have come up with only two things that you can know for sure. The first is that the universe exists. You are constantly observing it with your five senses, and therefore something exists. It may not be at all what we say it is, but something exists. The only other thing I can think of is that certain mathematical principles are true. The only reason I can prove that certain mathematical principles are true is because they aren't real things, only figments of our imagination with perfect laws to govern them. For example, if one of something is there and another one joins it, you know there are two. Or to get more complex, pi will always be 3.1415... no matter what your vision of the universe is. It's just a simple ratio.
Of course, remember that pi may not necessarily be 3.1415... it could also be 3.131313131... or perhaps the square root of 10. Because the only reason you think pi is 3.1415... is because you have been told that. Have you ever gone out and measured a giant circle yourself to get exact measurements yourself? Even if you have, your measuring tape could have been off. If you used a calculator, your calculator could be wonky. If you used a pencil and paper, you could have made mental errors. We do not know pi exactly, we only know that the ratio exists. Or do we? To know that we have to know that perfect circles exist, but they don't. No perfect circle exists in nature, not even an electron or a quark or the circumference of a string. Pi, circles, and math itself are all figments of our imagination, but we know they exist because we are the observers of the universe.
I therefore conclude that the universe is only as we see it. A tree only falls if someone witnesses it and thinks it fell. In fact, the universe only exists as long as there is life there to witness its existence, yet it does not let life itself know anything except that the universe exists and a few mathematical principles.
Question #3: It is not possible to know something for sure unless you prove it, though some people would say differently, commonly religious people, who know their religion is true though they have no tangible evidence. Some say that knowledge can just kind of appear, but it doesn't make sense to me. Then again, things just kind of "appear" all the time with no apparent cause. That is what dark energy does, it creates something from nothing. It creates space, time, gravity, matter, everything you need in a universe from nothing. But dark energy isn't everywhere, according to astronomers, so it could be part of the stuff from the big bang. But then again, the big bang kind of came from nothing as well, according to some astronomers. Some also say it came from the tattered remains of an older universe, or came through another dimension of space from another universe. But where did everything start? Who knows. Maybe it didn't have a start, maybe some things are just there, in which case you do not always need proof to show that something exists. I don't think question #3 is answerable, but I tried, eh? Extra credit?
My question, back to the pi idea:
Why is pi the number that it is?
marjo wrote:Ouch! That would be 2Pi, or Tau.
Edit: gotcha
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