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InitialsDiceBearhttps://github.com/dicebear/dicebearhttps://creativecommons.org/publicdomain/zero/1.0/„Initials” (https://github.com/dicebear/dicebear) by „DiceBear”, licensed under „CC0 1.0” (https://creativecommons.org/publicdomain/zero/1.0/)AF
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2 yr. ago

  • in real life i usually have a pretty deadpan delivery, so i dont laugh at those for the most part. but when texting/posting online, i usually laugh at the funny ones. maybe it has to do with the time in between when i think of the joke and when i tell the joke. in real life, there's not much time in between for laughter, but typed jokes are a bit more premeditated

  • If you have ADHD or a thing for automation, it is stupidly addictive.

    i have both of those things. i’m a bit scared of what will happen if i buy this game. i still want to play it someday when i have a bit more free time, but it sounds like it’s probably best to wait a bit. its already hard enough to resist the urge to start new civ6 games. thank you for the comparison, it was very helpful.

  • completely agree. i think a lot of people (myself included) will probably never give edge a fair chance because of how insidious and annoying microsoft has been about trying to get people to use it. i don’t really hate edge as a browser (i’ve never really tried it), but i do hate the feeling of the browser being forced upon me

  • in this context, the "universe" means "the collection of all sets", or more specifically, the Von Neumann universe (which is just a method of iteratively constructing "all" the sets). and so the figure is providing a way to visualize the collection of all sets.

    this is done by assigning a so-called "rank" to each set. the notion of "rank" is kind of annoying to define in simple terms, but it's basically used as a tool for proving things by induction. it does this by assigning an ordinal number to each set. (ordinal numbers are "basically" a "continuation" of the positive whole numbers, in the sense that for any ordinal number ɑ, you can define the successor ordinal ɑ + 1; so, it's kind of like a way of formalizing the concept of ∞ + 1.)

    you can think of "rank" as analogous to "cardinality", in the following way. the "cardinality" of a set is a cardinal number that basically says "how big" the set is. meanwhile, the "rank" of a set is an ordinal number that roughly says """how big""" that set is. (notice that there are a few extra scare quotes this time.)

    lastly, the the set R(ɑ), where ɑ is an ordinal, is the set of all sets that have rank less than ɑ. i.e., the R(ɑ) is the set of all sets that have """size""" smaller than ɑ.

    and this kind of explains the visualization using a cone: there are more sets of "size" < 4 than there are of sets "size" < 3, and there are more sets of "size" < 3 than there are sets of "size" < 2. so it kind of lets you see "the universe" as a cone in that way.