> >It has the same odds as any other specific configuration of randomly assigned dots
> Nope, it's also the fact that it is ONE configuration, whereas all the rest are much much larger number.
That is the human pattern overactive pattern matching at play. I compared the single configuration of all dots on one location to any other specific configuration. You are not comparing to to _every other configuration_ because they are not the same
You are assigning specific importance to a single valid set of randomly selected data, because it seems significant to our brains.
If I asked you to give me an array of 1 million items containing an x, and y coordinate, what are the odds that any single specific set of items are returned?
Based on your answer to that, what are the odds for a set being return with all the same exact x and y coordinates, and a set with different x, and y coordinates?
if you answer anything other than it being the same chance, then you either don't think the selection mechanism is random, or you are falling to the standard fallacies around randomness
>That is the human pattern overactive pattern matching at play. I compared the single configuration of all dots on one location to any other specific configuration. You are not comparing to to _every other configuration_ because they are not the same. You are assigning specific importance to a single valid set of randomly selected data, because it seems significant to our brains.
That's just how importance works.
It sets some things aside as "significant to our brains". The universe doesn't care, even total heat death is not "important" if one excluses us making a prioritization of things.
Given our classification of orderly configurations as a distinct set, the comparison is between "any from all random-looking/noise-like configuration" vs "any from all orderly-like configurations". And the former are much more.
>if you answer anything other than it being the same chance, then you either don't think the selection mechanism is random, or you are falling to the standard fallacies around randomness
You're confusing the selection mechanism (random) with the classification mechanism that segments the set of possible outcomes into orderly vs not (not random).
As a simpler example, imagine a bag with N loterry numbers on individual cards. If they pick one at random, the chance any number has is 1/N. But the chance that a number OTHER than ours has is N-1/N. Our chances are as good as any other single number's, sure. But they're NOT as good as all other numbers put together.
You're argue that "but all are just sets of coordinates" or "all are just lottery numbers".
Sure, but some of those coordinate sets have importance to us, and others don't. And one of these lottery numbers is important t us, all the others aren't. And since the latter is a much larger group, the posibility of a member of it coming up is too.
That we consider one subset of results more special than the other is not negotiable. It's a thing we actually do in the real world, and it's the premise of the whole discussion.
> Nope, it's also the fact that it is ONE configuration, whereas all the rest are much much larger number.
That is the human pattern overactive pattern matching at play. I compared the single configuration of all dots on one location to any other specific configuration. You are not comparing to to _every other configuration_ because they are not the same
You are assigning specific importance to a single valid set of randomly selected data, because it seems significant to our brains.
If I asked you to give me an array of 1 million items containing an x, and y coordinate, what are the odds that any single specific set of items are returned?
Based on your answer to that, what are the odds for a set being return with all the same exact x and y coordinates, and a set with different x, and y coordinates?
if you answer anything other than it being the same chance, then you either don't think the selection mechanism is random, or you are falling to the standard fallacies around randomness