Badland9085

@Badland9085@lemm.ee

• ⁨Comment⁩ on ⁨The Steam BulletHeaven2.0 festival has arrived⁩ ⁨⁨2⁩ ⁨weeks⁩ ago⁩:

  If you meant another Bullet Heaven, Halls of Torment is pretty good. It’s Bullet Heaven with a giant slather of Diablo gameplay-wise, without the build complexity.

• ⁨Comment⁩ on ⁨What are some video game quotes that is stuck in your head?⁩ ⁨⁨4⁩ ⁨weeks⁩ ago⁩:

  The version that’s stuck in my head is Japanese so this is a translation.

  Watch. See how they’ve lived their lives with pride, and with their lives they’ve sang the ode to civilization. This is the story of those whom people called heroes, the unfinished journey of the 13 who chased the flame. But traveller, your journey continues on, isn’t that right? Then, follow your heart and move on. Follow the footsteps and witness that flame chasing journey to the end. And finally… walk across the graves of those who have fallen. And for that future which “we” could not create… GO CREATE IT!

• ⁨Comment⁩ on ⁨Steam is 'an unsafe place for teens and young adults': US senator warns Gabe Newell of 'more intense scrutiny' from the government if Valve doesn't take action against extremist content⁩ ⁨⁨4⁩ ⁨weeks⁩ ago⁩:

  There’s the “this is too woke” gang, and then there’s the “this doesn’t have enough representation” gang. You can’t win.

• ⁨Comment⁩ on ⁨What are the most mindblowing fact in mathematics?⁩ ⁨⁨1⁩ ⁨year⁩ ago⁩:

  You are correct. This notion of “size” of sets is called “cardinality”. For two sets to have the same “size” is to have the same cardinality.

  The set of natural numbers (whole, counting numbers, starting from either 0 or 1, depending on which field you’re in) and the integers have the same cardinality. They also have the same cardinality as the rational numbers, numbers that can be written as a fraction of integers. However, none of these have the same cardinality as the reals, and the way to prove that is through Cantor’s well-known Diagonal Argument.

  Another interesting thing that makes integers and rationals different, despite them having the same cardinality, is that the rationals are “dense” in the reals. What “rationals are dense in the reals” means is that if you take any two real numbers, you can always find a rational number between them. This is, however, not true for integers. Pretty fascinating, since this shows that the intuitive notion of “relative size” actually captures the idea of, in this case, distance, aka a metric. Cardinality is thus defined to remove that notion.