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. A showerthought should offer a unique perspective on an ordinary part of life.

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They say in an infinite multiverse versions of you exist. Yet there's an infinity of fractional numbers between 1 and 2 with no whole number 3 between, so infinity can exist without every possibility. (lemmy.world)
submitted 10 months ago by rscky1@lemmy.world to c/showerthoughts@lemmy.world
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[โ€“] leftzero@lemmy.ml 35 points 10 months ago* (last edited 10 months ago) (1 children)

The set of all integers is not larger than the set of all odd integers.

The set of all real numbers, on the other hand, is.

https://en.m.wikipedia.org/wiki/Cardinality_of_the_continuum

[โ€“] vexikron@lemmy.zip 4 points 10 months ago

Ah, you are correct, my example was flawed.

Thats what /I/ get for not having brushed up on Set Theory 101 in a decade.

Derp.