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Cake day: June 18th, 2023

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  • Sloogs@lemmy.dbzer0.comtoTechnology@lemmy.world•*Permanently Deleted*
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    2 years ago

    The problem with having reasonable and respectful discourse with people you disagree with, is that you first have to find people willing to have reasonable and respectful discourse. In real life I’ve met plenty. On Twitter, there are none. They’re mostly just in getting a rise out of libs and lefties. We’ve already been finding that disengaging with them and moving to a platform they don’t have influence over has made them a lot more impotent.



  • I think going from the relatively peaceful period of the 90s in the west to living through the Bush administration, 9/11, racist fear mongering and alarmism over terrorism, mass erosion of rights and privacy, jingoism and wars in the Middle East under false pretenses, the Bush adminstration’s connections with the military-industrial complex getting exposed, seeing stuff like Fox News, Glenn Beck, and Bill O’Reilly start to mindrot the boomer generation into unrecognizable husks of their former selves, the 2008 market crash due the effects of all the failed conservative economic policies and deregulation that occured the past few decades — coloured Gen Xers’ and Millennials’ perspectives in a way that I imagine would be difficult for Gen Z to grasp.

    They have no point of reference to see how badly things changed under the Republican party because they already grew up in the shit, and due to Republican obstructionism they may think that it’s Democrats faults because Obama and Biden were in the White House, but much of the fixing actually needs to happen in the house. But even that may not be enough because of the partisan Supreme Court.

    And honestly, in a case of a lot of cis Gen Z boys who’ve been sucked into some shoddy conservative ideas, I feel like we failed them if guys like Andrew Tate, Trump, and other such garbage heaps of human beings were the ones getting through to them.








  • The conventional view on infinity would say they’re actually the same size of infinity assuming the 1 and the 100 belong to the same set.

    You’re right that one function grows faster but infinity itself is no different regardless of what you multiply them by. The infinities both have same set size and would encompass the same concept of infinity regardless of what they’re multiplied by. The set size of infinity is denoted by the order of aleph (ℵ) it belongs to. If both 1 and 100 are natural numbers then they belong to the set of countable infinity, which is called aleph-zero (ℵ₀). If both 1 and 100 are reals, then the size of their infinities are uncountably infinite, which means they belong to aleph-one (ℵ₁).

    That said, you can definitely have different definitions of infinity that are unconventional as long as they fit whatever axioms you come up with. But since most math is grounded in set theory, that’s where this particular convention stems from.

    Anyways, given your example it would really depend on whether time was a factor. If the question was “would you rather have 1 • x or 100 • x dollars where x approaches infinity every second?” well the answer is obvious, because we’re describing something that has a growth rate. If the question was “You have infinity dollars. Do you prefer 1 • ∞ or 100 • ∞?” it really wouldn’t matter because you have infinity dollars. They’re the same infinity. In other words you could withdraw as much money as you wanted and always have infinity. They are equally as limitless.

    Now I can foresee a counter-argument where maybe you meant 1 • ∞ vs 100 • ∞ to mean that you can only withdraw in ones or hundred dollar bills, but that’s a synthetic constraint you’ve put on it from a banking perspective. You’ve created a new notation and have defined it separately from the conventional meaning of infinity in mathematics. And in reality that is maybe more of a physics question about the amount of dollar bills that can physically exist that is practical, and a philosophical question about the convenience of 1 vs 100 dollar bills, but it has absolutely nothing to do with the size of infinity mathematically. Without an artificial constraint you could just as easily take out your infinite money in denominations of 20, 50, 1000, a million, and still have the same infinite amount of dollars left over.