=== ANCHOR POEM === ═══════════════════════════════════════════════════════──────────────────────────── @user-246 It's interesting to me that we can divide by infinity, but not zero. I feel like it's true that dividing by zero would equal infinity (or maybe zero too lol) but I don't know how to prove it T.T ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧════════════════════════════════════════════════───────────────────────────┘ === SIMILARITY RANKED === --- #1 fediverse/286 --- ════════════════════════════════════════════─────────────────────────────────────── ┌──────────────────────┐ │ CW: re: mathematics │ └──────────────────────┘ @user-211 I agree! The problem is the limit as x->0 from the left and right trend toward different infinities, meaning it's neither -infinity nor +infinity. Which makes me think that it's the value that's exactly in the middle, AKA zero. Why wouldn't 1/0 be zero? Division is just inverse-multiplication, and multiplying anything by zero is zero. Why wouldn't division use the same rules? I don't understaaaaaand T.T ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧═════════════════════════════════════──────────────────────────────────────┘ --- #2 fediverse/3324 --- ═══════════════════════════════════════════════════════──────────────────────────── @user-246 If I follow correctly, the reason it's not is because you're dividing zero by two? meaning the magnitude of infinity would be zero. ... chat, is infinity just... zero, viewed from a different perspective? ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧════════════════════════════════════════════════───────────────────────────┘ --- #3 fediverse/37 --- ═════════════════════════════════════────────────────────────────────────────────── This would normally just be a weird way to divide except it allows you to divide by zero, which is kinda cool. ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧══════════════════════════════─────────────────────────────────────────────┘ --- #4 messages/141 --- ═════════════════════════════════════════════────────────────────────────────────── Why would we say not to divide by zero? We literally do it every time we use the percent sign smh [silly] ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧══════════════════════════════════════─────────────────────────────────────┘ --- #5 fediverse/3706 --- ════════════════════════════════════════════════════════─────────────────────────── @user-192 ... that makes sense. Downside is as soon as you do, suddenly there's a 0% chance you'll remember which goes where. I guess that's why you keep the box, lmao xD ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧═════════════════════════════════════════════════──────────────────────────┘ --- #6 fediverse/41 --- ═════════════════════════════════════────────────────────────────────────────────── @user-36 As a thought experiment, what do you think happens using this system to divide by 1? What about dividing by 0? Curious to see what you think ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧══════════════════════════════─────────────────────────────────────────────┘ --- #7 fediverse/44 --- ═════════════════════════════════════────────────────────────────────────────────── @user-36 So, you're saying the tally system doesn't make sense, and instead what I suggested for base zero is instead base 1? ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧══════════════════════════════─────────────────────────────────────────────┘ --- #8 fediverse/4084 --- ═══════════════════════════════════════════════════════════──────────────────────── ┌──────────────────────┐ │ CW: re: -mentioned │ └──────────────────────┘ @user-1074 the more you try, the more you have to calculate, which is a problem, because endlessly recursive calculations create infinite loops, which frankly are impossible to compute because they defy computation! Not good, not ideal, no thank you, not for me, no thanks, not what I'd like. ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧════════════════════════════════════════════════════───────────────────────┘ --- #9 fediverse/38 --- ═════════════════════════════════════────────────────────────────────────────────── @user-36 ideally you'd convert to an arbitrary base (in this case 9) and shift from there, but shifting two places might work. idk I haven't thought about it. ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧══════════════════════════════─────────────────────────────────────────────┘ --- #10 fediverse/65 --- ═══════════════════════════════════════──────────────────────────────────────────── if something makes sense physically, but not mathematically, then the mathematics are wrong. ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧════════════════════════════════───────────────────────────────────────────┘ --- #11 fediverse/3325 --- ═══════════════════════════════════════════════════════──────────────────────────── @user-246 so... if infinity is the inverse of zero, then when inverted would infinity also be zero? if so, it follows that the [spectrum/dimension/cardinality/direction] that the inversion is occurring upon might also have other steps inbetween. Unless it's a binary thing, like "top and bottom" or "present and absent". I wonder what those steps might look like? Clearly, since infinity minus infinity does not equal zero, the steps inbetween (if they exist) would not be numbers. If they were, then one single step from inverting infinity would be 1, but I don't believe that would be true. On the topic of rings, the axioms would be things like "a ring is a ring if you can trace a continuous line with a length of infinity across it's ring-like-surface"? I wonder what the inverse of a length is... Or perhaps you cannot invert a length, as to do so would give you a length of zero (in this particular ring-like-case) ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧════════════════════════════════════════════════───────────────────────────┘ --- #12 fediverse/824 --- ══════════════════════════════════════════════───────────────────────────────────── I once heard that time doesn't pass when you're well and truly in the moment, and I thought "that's not true, I'm always losing track of the moment". ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧═══════════════════════════════════════────────────────────────────────────┘ --- #13 fediverse/276 --- ════════════════════════════════════════════─────────────────────────────────────── ┌──────────────────────┐ │ CW: mathematics │ └──────────────────────┘ why the heck would -11/2 be defined but 1/0 not be? seems kinda sus to me. maybe it's just... not reducible, the same way that 5+i isn't? ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧═════════════════════════════════════──────────────────────────────────────┘ --- #14 fediverse/2357 --- ══════════════════════════════════════════════════════───────────────────────────── @user-1245 I disagree. What if we did not learn to count numerically, but instead viewed all values as percentages between 0 and 1? Essentially, as a magnitude between empty and full. That would radically redefine our mathematics, and it's just one simple change, one tweak, and suddenly negative numbers are just out of reach. ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧═══════════════════════════════════════════════────────────────────────────┘ --- #15 fediverse/39 --- ═════════════════════════════════════────────────────────────────────────────────── @user-36 That makes sense to me. I'll have to think about how to generalize that, hmmmm... It would only work for numbers that have even square roots right? ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧══════════════════════════════─────────────────────────────────────────────┘ --- #16 fediverse/108 --- ══════════════════════════════════════════───────────────────────────────────────── @user-95 I'm also fond of "I can't know", for things that exist beyond our finite existence. For example, the perspective of another, for all it's intrinsic value. Being too quick to trust, though, is an easy path to follow. ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧═══════════════════════════════════────────────────────────────────────────┘ --- #17 fediverse/316 --- ════════════════════════════════════════════─────────────────────────────────────── ┌──────────────────────┐ │ CW: mathematics │ └──────────────────────┘ ask not "what can logarithms do for you" but rather "what shape does a logarithm make" ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧═════════════════════════════════════──────────────────────────────────────┘ --- #18 fediverse/46 --- ═════════════════════════════════════────────────────────────────────────────────── @user-36 neat thanks when I said 1-1 = 1/10 I meant 1/1 in decimal except the denominator is in base 1 meaning it's represented as 10 (since 10 in base 1 equals 1 in base 10. Or pretty much any other base.) I'm trying to figure out why 00 is undefined. There's a lot of math notation in that wikipedia article and I'm working through it bit by bit... I feel like there's a bug in the code of the universe and I'm trying to understand it. Like... why is dividing by zero undefined? That seems like a bug to me. ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧══════════════════════════════─────────────────────────────────────────────┘ --- #19 fediverse/1481 --- ════════════════════════════════════════════════─────────────────────────────────── if you lose someone on the Fediverse then there's a zero percent chance you'll ever find them again. ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧═════════════════════════════════════════──────────────────────────────────┘ --- #20 fediverse/3604 --- ════════════════════════════════════════════════════════─────────────────────────── ┌─────────────────────────────┐ │ CW: re: computers-mentioned │ └─────────────────────────────┘ @user-1573 I was JUST thinking about suggesting Qubes halfway through your comment and then I saw the last line. noooooo xD ┌─────────┐ ┌───────────┐ │ similar │ chronological │ different │ ╘═════════╧╧═════════════════════════════════════════════════──────────────────────────┘ |