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Cake day: September 7th, 2023

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  • weker01@feddit.detolinuxmemes@lemmy.worldShit...
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    1 month ago

    Funny Gentoo actually was my gateway to arch. Loved the customizability of Gentoo and the rolling release model.

    But building Chrome and Firefox (I needed both for work reasons sometimes) every update was the nail in the coffin. Switched to Arch and didn’t miss a thing.








  • weker01@feddit.detoScience Memes@mander.xyz🔔 SHAME 🔔
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    2 months ago

    I know. I’ve studied this extensively. I am specialized in formal logic and by extension set theory. I’ve worked with and help write actual research papers in this field where this is basic knowledge.

    I’ve never claimed there to be a bijection between the reals and the natural numbers. Please point out what statement I made that is wrong. I would very much like to know.

    Also no you do not have to accept choice for this to be true. ZF is perfectly acceptable to study various infinite sets with differing cardinality.

    Edit: This is what I mean when I say that our intuition is broken. One set can be larger than the other but both be non-ending that is infinite.

    Beeing larger does not mean it is more infinite!


  • weker01@feddit.detoScience Memes@mander.xyz🔔 SHAME 🔔
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    2 months ago

    That is until you meet analysis people that define a symbol for infinity (and it’s negation) and add it to the real numbers to close the set.

    Also there are applications in computer science where ordering stuff after the first infinite ordinal is important and useful.

    Yea unfortunately we do kinda calculate with infinity as a concrete thing sometimes in higher level maths…


  • weker01@feddit.detoScience Memes@mander.xyz🔔 SHAME 🔔
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    2 months ago

    That is the way it is often taught but actually both sets are infinite that is have no ends or in other words are not bounded.

    The thing that is confusing to understand is that the question how many there are and how much there is diverges at infinity.

    Our intuition (as finite beings) is broken here. Both sets are infinite but in one is more than in the other. That does not make one set more infinite than the other. You cannot be more unending than to literally have no end.