The Truth about Division by Zero (Part 2)

Part 2

[@cpu_UP]

You explain very advanced algebra with a "for ignorant" tone, while you tell quite advanced stuff and in a good compressible way for mid knowledge. Well done.

[@farciarzfunny5326]

11 months ago... "goodbye cruel world" in the channel information... his voice... i'm guessing he was another genius in the wrong place

[@jonaslavicka2411]

bro you good? you have goodbye cruel world written under your name

[@dreiundsiebzig-zweiundsechzig]

I see we’re your going with this, the only evidence we have adds up to this sadly…

[@samueldeandrade8535]

​@@dreiundsiebzig-zweiundsechzig really?

[@edoardoguariso1763]

I’ve heard about wheel algebra before but I didn’t think it could be defined so simply. Good work!

[@fetch7312]

i really hope you're okay dude

[@Axl12412]

Ecclesiastes 7:3 Sorrow is better than laughter; it may sadden your face, but it sharpens your understanding. Proverbs 14:13 Laughter might hide your sadness. But when the laughter is gone, the sadness remains. If you want to know the Truth follow Jesus.

[@bughdey8055]

Love your vids!! continue to brighten us more!

[@tomekchrobry9396]

Omg i love ur videos sooo much, ur sense of humour is absolutely brilliant and ur knoledge is stunning❤

[@gamerboy7224]

he killed himself

[@tomekchrobry9396]

​@@gamerboy7224?? What u mean

[@Tharun-wk6rj]

@@gamerboy7224 are u sure?

[@gamerboy7224]

@@Tharun-wk6rj pretty much :/

[@Tharun-wk6rj]

@@gamerboy7224 no wrong

[@lovessorrow948]

19:20 I didnt understand this property how it is derived from previous stuff?

[@jimi02468]

How would you prove the field axioms? Why would you need to? Asking to prove reflexivity is like asking to prove that an apple is an apple.

[@kazedcat]

Assume x≠x then [x,0]≠[x,0] but the definition of equality is that [a,b] = [c,d] if ad=bc so x•0=x•0 then [x,0] must be = to [x,0] proving that the first assumption is wrong. Proof by contradiction.

[@throwawayaccount3459]

w sen zen

[@BaseSixBasics]

9:50 THIS IS WHERE THINGS GET SPECULATIVE. There’s no logical reason to conclude that all those points are equal, since they have no angle. To see them as connected points, you must have an extra dimension of curvature that connects them, which would lead to a whole new realm of numbers that cannot be represented in this way.

[@wyboo2019]

its not really "speculative." those points ARE equal because they follow from the definition of equality. two rational numbers, (a,b) and (c,d) are equal to each other if and only if ad=bc, by definition. so, let x and y be any nonzero integers. now consider (x,0) and (y,0). substituting (a,b,c,d)=(x,0,y,0), we get that ad=x*0=0 and bc=0*y=0. since 0=0, (x,0) and (y,0) are equal for all nonzero integers x and y, or the x-axis excluding 0. obviously the point (0,0) also satisfies this but he explains the caveat with that later

[@o5-1-formerlycalvinlucien60]

are u ok? Love your stuff, but dont stress over it.

[@wyboo2019]

i hope you're alright. your videos are really intuitive descriptions of sometimes very high-level "abstract nonsense."

[@kappasphere]

I always thought of the singularity as "the useless number" and that's why I didn't like the wheel algebra very much, but it's pretty cool if it's called the black hole number instead

[@harshsrivastava9570]

i've always thought of it as NaN, from floating-point arithmetic

[@ngohieu8165]

"goodbye cruel world" last words??

[@Humulator]

So simply, if something is undefined in wheel algebra, it's undefined and doing anything to undefined keeps undefined? Seems a bit useless.

[@aguyontheinternet8436]

Incorrect, it IS defined. It is defined as the black hole number

[@flamingpi2245]

Or the nullity

[@Qreator06]

Well this is out of order

[@crazytiger6]

Wow, 0 is a weird concept

[@karamad2847]

Ikr?

[@RedBeanieFN]

i'm not sure what happened to him and his bio says "goodbye cruel world" I hope he's doing good though...

[@FirasFaleh-oj2ex]

Bro quit youtube though he make great videos what he said is true: "Good bye the World IS cruel "

[@FirasFaleh-oj2ex]

Bro quit youtube though he make great videos what he said is true: "Good bye the World IS cruel "

[@hossamel2006]

Is he ... dead ? 😢

[@ngohieu8165]

RIP

[@Leivoso]

come back bro

[@acelinkio]

Hey Friend! Appreicate your videos and the wealth of knowledge you share with the world. Hope to hear more from you soon.

[@pagwin5308]

12:40 I was expecting you to bring up that equality now fails to satisfy reflexivity, (1 0) != (1 0) because b and d are 0, (1 1) + (0 1) = (2 2) + (0 1) isn't valid because of that though it's probably a good example of why reflexivity is kinda important. Might be wrong though or maybe I misinterpreted the definition you have at this point in the video

[@federicosedilis9436]

where have you gone? Will you return?

[@themareofnight1554]

Awesome videos, thank you very much for making them!❤

[@realmless4193]

Bro, you're Telling me I've been trying to divide by zero and I just so happened to accidentally get half of the way to independently inventing wheel algebra? You gotta be kidding me! What I achieved before watching this video was how to do everything involving multiplication and division, but I did not figure out addition and subtraction. I was also doing exponents and roots, not logs yet, but then I look here and it's basically the same as what I've been trying to to do!

[@Metal_Master_YT]

My favorite phrase so far: 9:31

[@hrishikeshaggrawal]

the black hole number you're referring to, is it the NaN (Not a Number) as the computer scientists call it?

[@angeldude101]

It looks exactly like NaN. The only differences are that +∞ = -∞, which isn't true for floats, and the black hole equals itself, which NaN does not. (Because IEEE thought it was more important to be able to identify NaN without a dedicated instruction than to have equality be reflexive.)

[@hrishikeshaggrawal]

@@angeldude101 i see

[@vladyslavkryvoruchko]

where is he why no vids for 5 months

[@bigbluebuttonman1137]

Hope to see more from you.

[@deltakyy3894]

is this his, last video?…

[@elen1ap]

Idk😢

[@farciarzfunny5326]

his about me is "goodbye cruel world" ...

[@petterlarsson7257]

please uplaod

[@duckymomo7935]

At least the concepts of indeterminate forms makes sense when viewed like this The proving each indeterminate form is tricky

[@karamad2847]

I love your videos man, but damn Imma need a break before watching part 3

[@notwithouttext]

wow this was really well explained

[@anmxlr]

You're styropyro

[@ValkyRiver]

I referred to that 0/0 number as "nullity" (or "NaN" in computer science)

[@adolfnishitani985]

Promo*SM

[@Set_your_handle0-0]

Amazing

[@agargamer6759]

Cool stuff!

[@Dr.1.]

wow

[@Dr.1.]

:DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

[@retarded9380]

Where is the part 1 of the series ?

[@balls2848]

Another really nice possible visual interpretation of that graph at 8:30 is, that all the lines look like if you were to place a bunch of rods in a grid and an looked at it from above the point (0,0). This would also suggest the equality of all the (x,0),x=/=0 points and the isolation of (0,0).