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Joined 10 months ago
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Cake day: April 15th, 2024

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  • Sure, “-∞ < ∞” is a useful concept, but it is not the same thing as when we talk about the sizes of infinities. What we mean by that is how many numbers it contains: (1,2,3,4…) contains fewer numbers than (1.0,…,1.1,…,1.5,…,2.0,…,2.5,…), but how large the actual numbers are, doesn’t matter. The second example contains just as many numbers, is just as “large”, as (1.0,…,2.0).

    edit: Sorry for the snarky tone, I was going for nerd maths boy. Hope I at least am technically correct.