What's the Opposite of the Number 2?

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Do numbers have antonyms? In this episode, we’ll take a mathematical (and philosophical) journey through different sorts of opposites and inverses.
0:00 - A Philosophical Look at Opposites
3:46 - Identity Elements vs. Absorbing Elements
6:30 - Additive Inverses vs. Multiplicative Inverses
8:53 - Exponential Inverses vs. Exponential Inverses
10:19 - Left Identities vs. Right Identities
12:19 - Why Addition and Multiplication Are So Important
14:35 - Concluding Philosophies, Flames, and Gratitude
PLEASE DO NOT COPY ANY FIRE-RELATED ACTIVITIES YOU MAY SEE IN THIS EPISODE :)
Make sure you're also subscribed to my @Domotro channel for bonus content! And if you need to catch up on any Combo Class episodes, I've now made playlists of each whole "Grade" in chronological order: / @comboclass
Special thanks to all of my supporters on Patreon. Supporting the show not only helps me keep improving my content, but also lets me avoid putting any product placements in episodes. Brands (not the company that makes Connect 4 haha) have offered me money for me to advertise them during an episode on this channel but I want to avoid that unless/until necessary, so thank you to all of these supporters who keep our Grade -2 episodes from having any product placements in them!
Evan Clark, Max, George Carozzi, Peter Offut, Tybie Fitzhugh, Henry Spencer, Mitch Harding, YbabFlow, Joseph Rissler, Plenty W, Quinn Moyer, Julius 420, Philip Rogers, Ilmori Fajt, Brandon, August Taub, Ira Sanborn, Matthew Chudleigh, Cornelis Van Der Bent, Craig Butz, Mark S, Thorbjorn M H, Mathias Ermatinger, Edward Clarke, and Christopher Masto, Joshua S, Joost Doesberg, Adam, Chris Reisenbichler, Stan Seibert, Izeck, Beugul, OmegaRogue, Florian, William Hawkes, Michael Friemann, Claudio Fanelli, The Green Way, Julian Zassenhaus, Bailey Douglass, Jan Bosenberg, Brooks Boutwell, David Irvine, qe, George Sharabidze, Jack Dwyer, Fredrik, and Dave Brondsema!
If you want to help support this channel (and get your name on that list) and get some bonus content, check out the Patreon here: / comboclass
If you want to mail me anything (such as any clocks/dice/etc. that you'd like to see in the background of Grade -2), here's my private mailbox address (not my home address). If you're going to send anything, please watch this short video first: • You Can Now Mail Me Th...
Domotro
1442 A Walnut Street, Box # 401
Berkeley, CA 94709
Combo Class Discord server: / discord
Subreddit: / comboclass
If you want to try to help with Combo Class in some way, or collaborate in some form, reach out at combouniversity(at)gmail(dot)com
In case anybody searches any of these terms to learn about them, some topics in this video include: the number 2 / two, the "real numbers", antonyms, opposites, reciprocals, additive vs. multiplicative inverses, multiple types of exponential inverses, negatives, fractions, identity elements, absorbing elements, fire, clocks, whiteboards, squirrels, and other assorted mathematics and philosophy and nature.
This episode was directed/edited/soundtracked by me (Domotro) and was filmed by Carlo Trappenberg (apart from the scene near the end with the upside-down pumpkin which was filmed by Max Chervin).
Disclaimer: Do NOT copy any dangerous-seeming actions involving fire, tools, or other chaotic activities you may see in Combo Class episodes. This is an episode of a show that is purely meant to provide entertainment and education. Also, do not copy the squirrel-feeding (my squirrels have a rare circumstance) without doing your own research first.

Опубликовано:

2 июн 2024

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Комментарии : 253

@ComboClass 6 месяцев назад

This is an experimental episode (it has a long philosophical intro before some math) but I think you'll find it interesting! Hope you all watch the whole thing, but here's timestamps of different parts in case it helps: 0:00 - A Philosophical Look at Opposites 3:46 - Identity Elements vs. Absorbing Elements 6:30 - Additive Inverses vs. Multiplicative Inverses 8:53 - Exponential Inverses vs. Exponential Inverses 10:19 - Left Identities vs. Right Identities 12:19 - Why Addition and Multiplication Are So Important 14:35 - More Philosophy, Fire, and Gratitude Make sure you're also tuned in to my @Domotro channel if you want bonus content like shorts and livestreams, and check out the video description for links to things like my Patreon, Discord, subreddit, mailbox, etc.

@TymexComputing 6 месяцев назад

You have missed that in this video the first fire shows at 0:40

@giorgospapoulidis8134 6 месяцев назад

philosophy was the first type of science. everything derives from it. So, it only makes sense to use philosophical questions

@TymexComputing 6 месяцев назад

@@giorgospapoulidis8134 The first Obvious philosophical thing i have noticed is that the number 2 can simply mean anything so the question of "whats the opposite for 2" becomes "What is the opposite? How do you define the opposite?" and the long story unveils :)

@numoru 6 месяцев назад

I just take it as a mirror, like negative -i=1/i division is asking how many times can 'b' fit in 'a' for a/b, so a mirror is like the infinite case till I notice rays and realize it's not a pocket dimension. But if it was it's one that seems to rotate the imaginary image by 'i' (or pi) and then inverting (L->R) hence the negative. But, if we continue with this analogy within the Cayley construction or even Coxeter we loose those and have to look at geometric algebra. --> I also like the notion that as I'm able to fit more 'data' into other 'data' I should gain higher resolution so for C/x as x->0 we should get higher resolution since more samples can fit, sort of like polishing a mirror, the more tangential planes you have the higher the fidelity mirror

@KatzRool 6 месяцев назад

A giant fire on a chair surrounded by leaf litter. Completely unflinching lecture. Absolute legend.

@ninwu 6 месяцев назад

My friends always ask me in math class what the opposite of sin, cos, or tan is, expecting me to tell them something like arcsin or csc, just for me to say "negative sine."

@livedandletdie 6 месяцев назад

Sine × Cosecant = 1 Cosine × Secant = 1 Tangent × Cotangent = 1

@aeriecat 6 месяцев назад

sin - (-sin) = 0 cos - (-cos) = 0 tan - (-tan) = 0

@aeriecat 6 месяцев назад

oops i meant + :p, you get it

@ninwu 6 месяцев назад

@@livedandletdie exactly! with the exception of (π/2)(n) for n∈ℤ because tangent is undefined at 90° and -90° and cotangent is undefined at 0° and 180° though you could probably argue a use case where it is useful to redefine these functions at those values

@ninwu 6 месяцев назад

@@aeriecat yeah XD

@smorpd 6 месяцев назад

honestly dont understand how you have any less than 200k subs. the quality of your content (in the field of chaotic mad scientist mathematics) is unmatched

@ZephyrysBaum 6 месяцев назад

his other channel has 190k!

@MarloTheBlueberry 6 месяцев назад

Chaotic Mad Scientist Mathemarics sounds fun!

@KingRanter 6 месяцев назад

His stuff is a little slow paced and probably a little too eccentric for most folks, not to mention a bit more advanced than some people are used to. He's got a great niche, there's really nothing else like it but it just doesn't have mass appeal. People don't like this kind of silly as much anymore unfortunately.

@joshuaklein8429 6 месяцев назад

I love how chaotic these videos always are, and how you just like of keep going lol. Very insightful as well

@Fire_Axus 3 месяца назад

your feelings are irrational

@stupidmansuit975 6 месяцев назад

I watched a couple of your earlier videos and the evolution of the practical "bits" going on while you talk is great. This feels like the next generation of bill nye and that's awesome.

@mastergrillex 6 месяцев назад

Don't insult him like that, Domotro is actually a scientist and knows things.

@Fire_Axus 3 месяца назад

your feelings are irrational

@LordMarcus 6 месяцев назад

Damnit Domotro, it's 2am, I logged in to research something else entirely and there you are at the top of my feed and of course I'm going to listen to every single word you say because I want to know what IS the opposite of 2.

@cedarbenz 6 месяцев назад

This dude is chaos incarnate, and he knows it…and he wants me to know it too-and I love it…and I want him to know that I love it too. And I hope that he knows that!

@Fire_Axus 3 месяца назад

your feelings are irrational

@ND62511 6 месяцев назад

I feel like there’s a distinction to be made between objects with opposing qualities, and objects that are opposite, if that makes sense. Like, Steam, Water & Ice have opposing states of matter, but I wouldn’t necessarily call them opposite of each other. Meanwhile, I feel like complimentary colors (Red-Cyan, Black-White, Green-Magenta, Yellow-Blue, etc) are more appropriate to describe as opposites. Though it is a subjective thing. Really, the concept of opposite is a human invention; it’s a category we apply to objects to better understand the world. Without us, everything just is. As always, awesome work! I’ve been binging your channel and I love what new stuff you bring to the table (before it inevitably breaks lol)

@Fire_Axus 3 месяца назад

your feelings are irrational

@defenestrated23 6 месяцев назад

The opposite of high school math class is the utter pyromaniacal gravitationally unstable chaos of Combo Class.

@patrick247two 6 месяцев назад

Amazing lecture in chaos theory.

@caseyjarmes 6 месяцев назад

The fact that you continue lecturing while on fire is astounding

@briangronberg6507 6 месяцев назад

Absolutely incredible! Taking the concept of “oppositeness” or being opposed and seamlessly moving on to construct the integers and then the rationals in such an intuitive way made me wish I had a professor like you when I was learning about sets, rings, fields, etc. I don’t know if you’re planning on it but I’d love to see a video on completing the reals.

@henman7438 6 месяцев назад

If this guy doesnt upload for a few months we'll have to assume he accidentally set himself on fire

@ShinyLucario721 6 месяцев назад

Love the fire in this vid! Makes it more chaotic and entertaining!

@ComboClass 6 месяцев назад

Every few episodes we get a few fun fire antics (but please don’t copy it folks!)

@hrayz 6 месяцев назад

My ADHD just loves the chaos in the videos. Actually helps me stay focused on the "main topic" easier!!

@orisphera 6 месяцев назад

13:36 You need to make 0 an exception. Otherwise, you uniquely define... a field with only one element: Multiply the opposite of 0 by 0. By definition, you get 1. But 0 is absorbing, so you get 0. Therefore, 1=0. By multiplying by any number, you get that it's 0, too. I've only used rules mentioned here. Also, I didn't use addition. If an operation has an inverse of an absorbing element, it operates on a set of 1 element

@shyawkward 6 месяцев назад

I love how these videos feel like the ramblings of a madman. For sure this deserves at least a million more views and subs.

@Fire_Axus 3 месяца назад

your feelings are irrational

@HelloIAmAnExist 6 месяцев назад

I love how you can explain really simple sounding topics in a way that makes it clear it is apparently complicated, and vice versa, or all while things around you break and catch on fire and you don't even seem to notice lmao. this channel is certainly unique, and not in a bad way

@slammy118 6 месяцев назад

finally, someone explains opposites in the way that i see them

@iyar220 6 месяцев назад

There's an interesting section in 人間失格 (no longer human) about something the author calls the antynom game. Each player says a word and they discuss what's the antynom of that word. Quite similar to this video in the idea

@sweetaplle 6 месяцев назад

Antonym*

@iyar220 6 месяцев назад

@@sweetaplle my bad

@matthewtallent8296 6 месяцев назад

Carlo has saved the Combo Classroom™️ countless times with that hose, thank you Carlo 👏

@idjles 6 месяцев назад

absolutely brilliant intoduction with content, timing and the camera-work was perfection.

@jasonrubik 6 месяцев назад

Another gem ! Keep it up.. just like this !

@afjelidfjssaf 6 месяцев назад

This is both hilarious and informational at the same time, thank you for making these!

@myca. 6 месяцев назад

This is best video (educational or otherwise) I've seen in a long, long time

@qy9MC 6 месяцев назад

I am glad I have subscribed. It's a rare feeling to say the least. Keep up the goodness

@Kopiovastaava 6 месяцев назад

Lovely chaos as always!

@GameJam230 6 месяцев назад

Before watching it my best assumption would be that it depends on what kind of function this 2 is the result of. For the context of an additive function, the opposite is whatever causes to 2 become the "additive identity" (or 0) when added to 2. The multiplicative identity, 1, follows the same logic, meaning 1/x is the "opposite" of x in that case. In the exponential case it's a bit more elaborate I feel, because you need to identify what it means to have an "exponential identity". One might say that roots and powers are opposite, but those are really just multiplicative opposites IN the exponent. When you multiply 2 numbers, A × B = C, A and B are "opposites" when C is the multiplicative identity. The same logic should apply for A ^ B = C, but the major issue we see with exponents compared to the previous two cases is that they are NOT communtative, so an "opposite" B for A might not also make sense to say A is such an "opposite" for B. It's all dependent on context.

@louierichardson4750 5 месяцев назад

The fire enveloping you as the camera shrinks down below you while you assert mathematics at me is reminding me of what was going on in my brain in my school days 😂, I am glad I'm at a point I'd happily watch your vids and fact check and learn and enjoy rather then feeling like I was in hell trying to learn something I actually enjoy deep down, it was just taught in the most excruciatingly braindead way possible. Thank you for bringing life to mathematics and inspiring many, but be safe 🙏😂

@nitehawk86 6 месяцев назад

Love the thumbnail image :)

@ComboClass 6 месяцев назад

It’s an actual screenshot from the episode with a few numbers I edited on top, so I’m glad it worked well haha :)

@scali5948 6 месяцев назад

Wow I loved this video, one of my favs

@Biker_Gaming 6 месяцев назад

I love this channel ong 🙏

@ZaItan1 6 месяцев назад

B is the additive inverse of 2 in modulo 13 if you use hexadecimal notation, letting symbol A represent ten and B represent eleven. 2 + B = D = 13 = 0 (mod 13). The clocks are a nice reminder. Love combo classroom

@LeithJones 6 месяцев назад

This is the most chaotic math thing I've ever seen.

@TechHog8984 6 месяцев назад

Amazing

@tombouie 7 дней назад

Depends on the operation ; the inverse(operand) is such that operand * inverse(operand) = unity assuming the operand & its inverse is 1to1. For example the inverse unitary operation for the addition, multiplicaiton, exponential, etc operations is negative , reciporcal , log , etc.

@Muhahahahaz 6 месяцев назад

Oh goodness… I fully expect everything will be on fire by the end of the video! 🔥 😂

@MudakTheMultiplier 6 месяцев назад

So neat of you to turn the studio lights down and experiment with natural lighting!

@badrunnaimal-faraby309 6 месяцев назад

I'd say 1. 2 is a major threshold that breaks uniqueness, singularity and the like, and not being first is a pretty big deal, the difference between the other cardinals pales in comparison. You could say 3, 4, etc. are also opposites of 1, but 2 is the most significant because it is ironically the 1st (to not be the 1st). Also, Number 1 and Number 2.

@elliejohnson2786 6 месяцев назад

Before watching: I would define the opposite of 2 as the inverse of 2. The inverse of 2 depends on the system being used - In addition, it would be -2, in multiplication it would be 1/2, and etc for different operational systems. That's a good enough answer for me.

@drfpslegend4149 6 месяцев назад

this is probably the most cursed gen z introduction to abstract algebra I'm likely to ever see

@kitkat47chrysalis95 6 месяцев назад

shows his workstation literally on fire: thanks patron supporters meanwhile patron supports watching their investment swallowed up in flames 15:57

@OldSoulClimber 6 месяцев назад

My first thought was the complement. Where the union of a number and its complement is the whole set, and the intersect is the empty set

@Slaydrik 6 месяцев назад

This is the first episode I've seen where he actually has any reaction to the fire or things falling

@RTGOAT 6 месяцев назад

Why are you so interesting to listen to??? I'm appalled by the whimsicality of this whole channel

@mikecaetano 6 месяцев назад

You're having way too much fun with those jack-o-lanterns.

@frostyusername5011 6 месяцев назад

This is a wild video

@rlstine4982 25 дней назад

I am at the beginning of the video. It is weird to think of "opposites", I never thought that something could be the opposite of something else. To the core, "true" is not the opposite of "false", it is its symmetrical value, with "undecidable" sitting in the middle.

@The_Green_Man_OAP Месяц назад

f(√2)=a f⁻¹a=√2 "a" is the "opposite" of √2... (Whatever "a" & "f" are. 😕) One way to get √2 is via the Pythagorean triangle 📐, in terms of vectors: √2 {↗}= 1{→} + 1{↑}. Clearly, we can say that geometrically speaking, the opposite of √2 here is in the opposite diagonal direction, so here we have: √2 {↙} = - √2 {↗} = 1{←}+1{↓} There is no way to invert a vector in a multiplicative way unless we extend this to quaternions, but I'm NOT going there .. 😵 Update: Thankfully I found an online quaternion calculator that shows the inverse of √2 {↗} when written in the form q=(0,1,1,0) is q⁻¹=(0,-0.5,-0.5,0) and, of course the magnitude of q here is |q|=√(1²+1²+0²)=√2.

@nosidenoside2458 6 месяцев назад

I think out of the 4 options you showed in the thumbnail the opposite of 2 is question mark

@AdNecrias 6 месяцев назад

It's all about having a scale. Things can only be opposites on a scale, in a comparison.

@orterves 6 месяцев назад

Definition depends on context. There is no single answer unless you define the context to have one

@fearstreak7462 6 месяцев назад

the camera work not even a minute it cracked me UP

@whynotanyting 6 месяцев назад

A fireside chat of opposites

@santiagovidal4497 6 месяцев назад

Everything looks so flammable dear god

@scotttocs 5 месяцев назад

Most chaotic good thing I have ever seen.

@dskinner6263 6 месяцев назад

The opposite of two is one, because two always has a buddy (or foe), and one is the loneliest number that you'll ever do.

@cheeseburgermonkey7104 6 месяцев назад

Domotro casually holding a flaming pumpkin like the pyroscientist (is this a word?) he is

@trevornicholas1406 6 месяцев назад

Math Harlow with another banger

@inthenameoftheworld 6 месяцев назад

My first thought was ½ since it times 2 makes 1, two sides of the same coin, or should I say *opposite* sides of *one* coin. After watching I have many more thoughts, for example are there subtractional and divisional identities? Square and cube identities?

@hectobreak8097 6 месяцев назад

For subtraction and division there are right-identities, for example 0 is the right-identity for subtraction because any number minus 0 leaves the number intact. These two operators have no left-identity, since there exists no number x such that for any other number y, x - y = y. Squaring and cubing are operations indeed, but they are unary operations instead of binary, so it makes no sense to talk about identities.

@pairot01 6 месяцев назад

Does the lack of a neutral number for powers and roots have anything to do with the fact that sqrt (-3)^2 does not equal -3?

@weepingdalek2568 6 месяцев назад

I know this isn't the point but the amount of fire you played with in this video made me kinda nervous lol

@rowanrobinson 6 месяцев назад

I can imagine you as the crazy grey haired professor who's been teaching at the same uni for 50 years who everybody loves.

@JanJeronimus 6 месяцев назад

The opposite of 2 can be 10 as on a 12 digit clock moving 2 places forward can be 'undone' by moving another 10 places forward. Also moving 10 places back gives the same result as moving 2 places forward. So 2 is the same as -10 and 10 in this system is the same as -2. If you don't allow negative numbers in this system 10 would be the first opposite of 2 Using this definition of opposite you could also say the opposite of 2 is 22 or 34 etc. and call that the second, third, etc opposite of 2

@drkclshr 6 месяцев назад

Nah the opposite of 2 on a 12 digit clock is 8

@qcubic 6 месяцев назад

The opposite of fire is "not fire", and if you do the opposite of "not fire" you get fire

@gianlucazinarof8617 6 месяцев назад

Multiplicative inverses are sometimes called reciprocals too

@kylewood4001 23 дня назад

Reminds me of that one conversation in No Longer Human

@lemoneer7474 6 месяцев назад

I was thinking about this a while ago, and I thought about converting the number to binary, and switching all the 0’s to 1’s and vice versa. So 5 would go from 101 to 010, which would be 2. 10 would go from 1010 to 0101, which would be 5. So the opposite of 2 would be 1 using this logic. What’s interesting is that some numbers have the same opposite, and most numbers are not opposites of each other. (I also noticed the length of the video was 16:18, the first four digits of the golden ratio I believe :D)

@landsgevaer 6 месяцев назад

You mean the opposite of 5 is 2, I presume. Not inverting leading zeros?

@king5327 6 месяцев назад

In binary, you can use 'one's complement' to create the negative number. This includes *all* the infinite leading zeroes. So *1110 is negative one. This has the problem of there being a positive and negative zero, however, so we instead use two's complement (flip all the bits, add one) to negate a number. This is because *1111 + 1 = *0000 - so if you flip the bits and add one you end up flipping them back. This is also why signed numbers go from -(2^n) to (2^n)-1. The zero shakes out of the positives.

@lemoneer7474 6 месяцев назад

@@landsgevaer whoops, I messed up on that. I’ll edit it though it’ll take the heart away from the comment lol

@zakronthesheep 6 месяцев назад

Now find out what the drink "almost, but not quite, entirely unlike tea" from the hitchhiker's guide would taste like

@astralaegis6283 6 месяцев назад

You're a darling of the internet

@katt3985 6 месяцев назад

@comboClass whats up with the Grandfather clock? I always assume that this stuff is being thrown out by other people- I've wanted a Grandfather clock but found that they cost a fortune even on the cheep, so I have a hard time believing that someone would throw one out.

@ComboClass 6 месяцев назад

I got the grandfather clock for about $50 after looking for a used one online for a while. The rest of the clocks were way cheaper or free

@calvinkonchar6354 6 месяцев назад

11:54 kind of a dumb question, but couldnt you solve a left-side identity by using a modified root? If you have b?a=a you can make it work by having a grade lower than a square root (a line root? A point root), where instead of an implied 2 in the top left of the symbol there's a 1? So ¹v(a)=a .

@sixhundredandfive7123 6 месяцев назад

Being able to pay attention to your actual mathematics is my correct dosage of Adderall.

@sebas31415 6 месяцев назад

Good video! Is there an inverse of an operation (?) where a(?)i=a? like how a*1=a or a+0=a

@japanada11 6 месяцев назад

If x(?)y = x+y-i then i is the identity and the inverse of a is 2i-a

@landsgevaer 6 месяцев назад

That depends on how you define the (?) operation. How do you?

@sebas31415 6 месяцев назад

wdym?@@landsgevaer

@ShayanQ 6 месяцев назад

This feels like the educational version of the minecraft parkour videos under reddit stories on tiktok.

@pon1 6 месяцев назад

Your videos are so chaotic 😂

@vagabondcaleb8915 5 дней назад

Opposed diametrically on a specific axis/continuum.

@NexusCubed2950 6 месяцев назад

in set theory the opposite of a number is the complement set, and since 2 = { { }, { { } } } = { 0, 1 }, then the complement / opposite of 2 is the set containing all number but 0 and 1. Pretty funny that the opposite of 2 contains 2 under this interpretation.

@NaThingSerious 6 месяцев назад

My first thought was negative 2, my next though was that if 2 = 2^1 then the opposite might be 2^-1 which would be 1/2

@emilyrln 6 месяцев назад

Who needs a laser pointer when you've got a candle? 😂

@owdeezstrauz 6 месяцев назад

9:12 the thermometer and clock are pointing in the same position.

@efremkGTFO 6 месяцев назад

the oppening part of this video should be called young hegel discovering hegelian dialectics

@Suctess 6 месяцев назад

Meanwhile at the neighbors house: ‚Darling, it is that time of the year, again!‘ ‚What is he smoking this time?‘ ‚Pumpkins apparently.‘ ‚Please call the kids in!‘ Great job, sir, i like that knowledgeable mad scientist theme.

@achomik1999 6 месяцев назад

fuck im stoned an this is THE content

@DanDart 6 месяцев назад

Int is not in itself a group, only when you include Sum or Product newtypes.

@rubenkossen3498 6 месяцев назад

I believe that if you take all aspects of a concept and negate them you will be left with that same concept. Just think of the CPT symmetry of the universe, if you invert charge/parity/time/charge&parity/charge&time/parity&time you will be left with a system that ever so slightly differs to our own. Only if you mathematically negate parite,charge&time physics will work exactly as it would if we never inverted it to begin with. (Finding out these inequalities was made possible by the weak nuclear force)

@Nikioko 6 месяцев назад

There is a neutral element and an inverse element. The neutral element doesn't change the term. That is 0 for addition and subtraction, and 1 for multiplication, division and exponentiation. The inverse element is the number with which you get the neutral element. That is the negative number for addition and the inverted fraction for multiplication. For subtraction and division it ist the number itself, and for exponentiation it's 0.

@John73John 6 месяцев назад

The opposite of two is owt. I hope you have a fire extinguisher handy when recording these.

@user-me5eb8pk5v 6 месяцев назад

Orderability, arrangability. So you have two static clouds, we can apply any physics to any scale of a set of clouds, but their arrangeable orderability make then combine in different ways. two would define a location relative to the the other cloud, so a words definition is based upon the merits of constraints allowed in such a system. The two might might be a modification allowed on a super-system or a subsystem. Hidden and overt consequences, like a hole vs a via, or island. A notion of probability chaining for when we suppose its a seasonal demand on a condition, such as epochs and eras, or a zero scale time where our hidden systems have undergone some rigorous scientific methodology to determine them to have binary operations inherent to that quality in repeatable conditions. The repeatability of conditions occur to our basis reality of a cloud, as we assume two opperating clouds. The clouds have evolved and grown to use supplies and fall in love, vastly leaning towards originality by 25% of consumption 14% misderation as chaos sport to increase the tollerance of their intolerance in lou of non-combat a terra.

@matthewlennon6289 6 месяцев назад

Ur speaking my lingo pal

@xtieburn 6 месяцев назад

I wonder if you can create a number x that could be: n + x != n AND n * x = x I.e. its absorbing but not an addition identity. Itd be easy to program some kind of pseudo number to behave like that, but I dont know if it exists in or would even be of any use in any kind of mathematics done today.

@francoberni4156 6 месяцев назад

Interesting question. It turns out such a system would not be distributive. Consider the following two statements that follow from the axiom n*x = x. 2*x = x (1) 0*x = x (2) Subtract (2) from (1) to get 2*x - 0*x = x - x Since x-x=0 (so addition behaves like in real numbers) and by distributivity we get (2-0)*x = 0 Which further simplifies to 2*x = 0 A contradiction! I wonder if such a number system could be possible if we don't require distributivity. Maybe someone could look into that.

@antoniusnies-komponistpian2172 6 месяцев назад

This "number" exists and it's called infinity 😂

@crazytiger6 6 месяцев назад

My initial thought was -1/2 As I’m going through the video (I’m currently at 5:30 ) I still feel like it’s a valid answer, but not the only possible one

@lox7182 5 месяцев назад

Fun fact, for the operation a^ln(b) 1 is an absorbing element.

@briankelly1240 6 месяцев назад

Going back to my 7 year old self questions. Always asked myself these opposite things.

@hkayakh 6 месяцев назад

9:07 ok so saying “calculate” will get calculators thrown at you. Very helpful tip.

@JuliusUnique 6 месяцев назад

and the opposite of combo class is boring 🔥cool vid, or technically speaking a very hot vid XD I now imagine the opposite of something as being opposite of a point and that point has to be known as well, for the pumpkin face it's the emotion, for 2 to -2 it's addition, for 2 to 1/2 it's multiplication and so on

@hkayakh 6 месяцев назад

11:21 I plotted b^a=a in Desmos and yes there is. There is a whole line of possible numbers.

@winteringgoose 6 месяцев назад

What. I mean...of course you can graph it? I'm pretty sure the idea is that there isn't a singular number that works for all values of b. I really don't think he was claiming the equation has no solutions.

@hkayakh 6 месяцев назад

@@winteringgoose oh ok. That makes more sense. I didn’t understand that he was looking for a constant number. Thank you for clarifying