this post was submitted on 13 Jun 2023
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Gaming

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[–] [email protected] 6 points 1 year ago (3 children)

I'm not great at high-level maths like that, but can infinities be sized different in a way that makes a comparison of quantity valid?

[–] [email protected] 13 points 1 year ago* (last edited 1 year ago) (1 children)

Yes! There's actually two facets to consider:

  1. Infinities can be countable or uncountable:

    • The set of integers is a countable infinity. This is pretty obvious, since you can easily count from one member to the next.

    • The set of irrational numbers is an uncountable infinity. This is because if I give you one member, you can't give me an objectively "next" one. There's infinitely many choices.

      Example: I say what's the next member of the set of irrational numbers after 1.05? Well, there's 1.050001, 1.056, etc.

  2. Can a member of an infinite set be mapped to a corresponding member of another infinite set? And if so, how?

    Spoiler, there are three different ways: surjective, injective, and bijective.

In this situation, the sets are both countable. QA can open bug #1, bug #2, etc. It's also - for now - at least a surjective mapping of Starfield bugs -> Skyrim bugs. Because they're both countable, for each bug in Starfield you can find at least one bug in Skyrim (because it's a known bigger set at the moment).

But we don't know more than that right now.

[–] [email protected] 4 points 1 year ago* (last edited 1 year ago)

I love that this comment represents more work into the issue of bugs than Bethesda bothers with.

[–] [email protected] 4 points 1 year ago* (last edited 1 year ago)
[–] [email protected] 2 points 1 year ago

There is the same number of even numbers as there are even and odd numbers.