All such Babel images always will be fake.
Unless the machines are plugged into your electric car.
Regarding "absolute motion" most here would say no although I would say it is an unknown. Absolute space and time only make sense if you are talking about the maximums. If by absolute space you mean there is a maximum relative distance between any 2 points in space then yes it exists. If by absolute time you mean the maximum relative amount of time that can be experienced between any 2 points in time then yes it exists.
It sounds like you are describing a finite but unbound universe of presumably limited duration, where maximums would apply. I meant a universe of absolute infinite extent and duration -- no maximums. Like the counting numbers, you would always be able to find one more unit of distance and time, forever.
I meant a universe of absolute infinite extent and duration -- no maximums.
There would still be maximums between any 2 points in space and any 2 points in time. It doesn't matter if time and space are infinite. I am talking about finite slices.
I probably should have written "Newtonian time, space, and motion."
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despite rumors of its demise, the high price tag of Augur speaks volumes about its current standing within the cryptocurrency community
Well, one volume anyway. Available now on ebay.
because people are dumb and liquidity is hard to trade. if you can't sell the price can't go down.
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Could a universe of infinite extent be of finite duration?
Has it been demonstrated in cosmological theory that a universe of infinite extent would also have to be of infinite duration, and vice-versa?
Assuming that by rolling you mean shuffling around the symbols, the odds of never rolling into the same set (startjng at two symbols since one is a guaranteed reroll) would be (1 - 1/2!) * (1 - 1/3!) * (1 - 1/4!) * ... to infinity. This is because n! (1 * 2 * 3 * ... * n) represents the number of ways to arrange n objects, so the chance of rolling a specific arrangement (like a duplicate of the last one) is 1/n!, and we want the chance of not rolling, so its 1 - 1/n!. That infinite product converges to ~39.5% btw, which means there's about a 60.5% chance of getting at least 1 duplicate after that infinite process. So definitely not mathematically inevitable, but also not 0% since you could always just nail the first few before the odds get low.
If you mean rolling as in a slot machine where you choose 1 symbol from k symbols for each slot, then you have a probability of (1 - 1/k) * (1 - 1/k2) * (1 - 1/k3) * ... of not rolling, of course depending on your choice of k (this might be fun to work out why; try using k = 2, like a coin toss). This product also converges if you choose a reasonable k, which means that in either infinite game you choose, you are not guaranteed to get a duplicate.
That infinite product converges to ~39.5% btw, which means there's about a 60.5% chance of getting at least 1 duplicate after that infinite process.
Would that be with an algorithm-following pseudo-random generator to shuffle the symbols?
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You can achieve the same 3-D effect when you stand at a urinal and stare at the wall in front of you.
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