this post was submitted on 03 Jan 2024
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Showerthoughts

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A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. The best ones are thoughts that many people can relate to and they find something funny or interesting in regular stuff.

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[–] gregorum@lemm.ee 2 points 6 months ago* (last edited 6 months ago) (1 children)

That’s the whole point of OPs example; infinity can still be bound by limits.

such as there being no constants? can that not be a limit?

[–] usualsuspect191@lemmy.ca 3 points 6 months ago

We can't really know what's possible I suppose, it's more that there's sort of different "levels" of infinity where one level can contain another within itself, but both are still infinite just the same. When people imagine infinity they picture everything, but it doesn't need to be.

Hilbert's hotel is a good example that illustrates how infinities are weird.