More correctly...
Posted on 01/12/2019 5:15:03 AM PST by BenLurkin
In fact, despite the fact that poker, solitaire (and other card games) have been played for hundreds of years, it is highly likely that a properly shuffled deck has ever been in the same order.
Put another way, every shuffled 52-card deck has had its own unique order which has likely never been duplicated.
I find that to be an amazing fact and yet it doesn't even come close to describing infinity.
A reader of “Cryptonomicon” by Neal Stephenson perhaps?
More correctly...
THere’s this really interesting take on infinity, using an analogy of a hotel and buses, called Hilbert’s Infinite Hotel paradox.
Mathematicians Discovered a Computer Problem that No One Can Ever Solve
Why Microsoft cannot do a Windows update without creating more problems?
The Rectification Factor will resolve these issues. Adam Rutherford was dialed in. From his Pyramidology, volume 2 chapter 2:
***
The secret to the solution of the Great Pyramid's exterior symbolism lies in the discovery of the rectification of the Pyramid's displacement feature. When we have ascertained how this rectification is effected, we will have discovered how that which is out of harmony with the perfect will of the Almighty will be brought into line and how this chaotic world will be brought into tune with the Infinite.
So we must explore the Pyramid in search of a factor of 286 inches associated, not with contraction, deficiency, eccentricity and imperfection, as is the Displacement Factor, but with the opposite, that is, with expansion, enlargement and uplift. When we find this, then we shall know by what power the evil in this World can be completely removed and how the Lord's Prayer shall be answered and God's will done on earth as it is in Heaven.
***
286. On earth as it is in heaven.
Thanks BenLurkin. One of the now-defunct computer magazines (probably "Popular Computing" or "Personal Computing" years ago had a short story in which some fictional supercomputer was told, "complete math". The two scientists were talking about that and other subjects, and after some hours, the computer stopped calculating and put up a result message, "Math completed." The scientists couldn't come up with or remember any formerly unsolvable problem, so one of them suggested that their next command to the computer was to repeat its former task. When the interval passed where the first run had completed, the computer continued to run, because math was now complete. ;^)
A set is countably infinite if and only if there is a one-to-one mapping from the positive integers to the set in question. That's a definition. It's no more a "contradiction in terms" than any of the hundreds and hundreds of other definitions in math.
This is where English fails as the language of mathematics. “Countably infinite” IS a contradiction in the common sense of the terms. But they have a special meaning in math that allows the apparent violation of semantic logic.
Pi are Round.
Cake are Square.
Actually, the mathemiticians prove the answer cannot be “n the back of the bok” for all the questions. Have you met ‘Bell’s Inequality’?
Pi are round, cornbread are square
humans and their world and solar system and galaxy are “inside the box”
Its not possible to determine fully and accurately all that is on the “outside”
Dang it, that’s right. I forgot. That explains why I only got 50% of my answers right.
Can’t say I’ve ever met Bell’s Inequality but, if I do, I’m guessing I’d forget it as quickly as I forget everybody’s name who (whom?) I just met.
It’s as natural and intuitively obvious as it can be, not contradictory at all.
What are you doing when you count something?... You’re setting up a one-to-one relationship with the thing you’re counting and the natural numbers, or with a subset of the natural numbers.
Most people have no problem understanding that, see no contradiction in it, and can immediately appreciate it for being a useful generalization of what it means to count. It’s the key for cracking the problem of “counting” the elements of an infinite set, and getting your foot in the door.
As does anyone with feral cats.
as they should be
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