Shrodinger’s Megamind

https://lemmy.world/post/2290781

Shrodinger’s Megamind - Lemmy.world

This is actually a huge pet peeve of mine. Just because there are an infinite number of possibilities doesn’t mean anything is possible

Let’s investigate the list of natural numbers. 1, 2, 3, 4, etc. It stretches on for infinity, but nowhere in this infinite set will you find the number 2.5. Or negative 1. Or countless other examples.

Next let’s consider a warehouse with an infinite number of CDs, each burned with a copy of the Donkey Kong Country soundtrack. Each of these discs are different. They have slight differences in the label, diameter, and flatness, due to manufacturing tolerances. They have different random bits that get flipped sometimes due to solar particle collision and quantum variation, which may eventually make different discs unreadable. They decay over the centuries at different rates, due to temperature and sun exposure differences in the warehouse (climate control for an infinite space is very expensive).

Each of these discs are, materially speaking, completely different from one another. But, from the perspective our or limited human perception, they are for the time being completely interchangeable. Whichever one you select, you will listen to and have the same experience.

This is by far the most likely scenario if we indeed live in a multiverse. An infinite number of earths, with an infinite number of you, lives filled with all the same mistakes and triumphs, all reading this comment together right now.

What blew my mind is that it hasn’t been proven that pi contains an infinte number of ones, for instance. It’s not out of the question that there is a decimal place where the last 1 appears and there are none from then on.

It’s not really likely, but we simply don’t know and it is possible. It sounds weird given how many decimals of pi we’ve calculated, until you realise we’ve literally calculated 0% of them.

From a mathematical standpoint you’re right, but from the standpoint of application pi has an infinitesimal accuracy without going to 45 digits. At 3.1415926535, we’re more accurate than the distance between 3 atoms.
I don’t see how that’s relevant. Plus your last sentence sounds like you’re just repeating something you heard but forgot a part of it, because it makes no sense as it is.
The part they’re misremembering is that if you used 39 digits of pi as pi (not 45), it would be enough to calculate the circumference of the observable universe with a forward error of less than the width of a hydrogen atom (not the distance between 3)