The Intransitive Dice paradox breaks our brains
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- Опубликовано: 25 авг 2024
- There is a paradox about three dice. It is possible that dice A beats dice B more than half the time, and it is also possible that the same applies for B against C and for C against A. This is a paradox in the sense that there doesn't seem to be a solution but, in fact, there is.
There are other ones, like the imp in a bottle paradox, or the bridge paradox, or contradicting statements that form a never-ending loop.
I put a lot of time into the VFX for this video! Please consider watching the other as well! Наука
3:22 This argument breaks down when you realise you can simply not tell the person you're selling to what the effects and/or conditions of the bottle actually are.
Yep, I kind of omitted that detail from the story: in this scenario everyone is aware of how ownership of the bottle works!
If you have two currencies, say Euro and USD, you could sell it at 1€, wait until the Euro is above the dollar, sell it at 1$ (now less than 1€), then wait until the dollar is higher, sell at 1€ (now less than 1$), repeat.
First thing I though of was selling it for negative dollars. I like your answer better, much more sustainable.
4:18 the line A is clearly closer to the line on the left side.
I think someone's getting their eyes checked...
I sincerely hope this is a joke
Read it again... 🤭
I'm ashamed to have fallen for that
The quality of this video is outstanding, you're amazing
Thank you so much! ❤️
These comments really keep me going!
@@pointless_knowledge you seem to be MAKiT's cousin
well Plato didn't say he'd throw him in the water ONLY if he didn't oblige, so he may as well throw him anyway
I remember hearing about a story like that once. It ended up in the hands of someone who figured he was going anyway. But the prices did switch over to a currency that could be less than a cent.
Yes that's the story! I kinda shortened it, but the ending is pretty much the same: they switch to the lowest valued currency in the world (which belonged to some african country) and then one of the characters is screwed for good as they buy it for 1 of that currency and there's no way to ever sell it at a lower price
@@pointless_knowledge
Well, the one I heard had a couple characters trying to spare trying to spare each other. One of them arranges an intermediary to buy it for two of the currency so that the one trying to save the other will buy it for one. The intermediary refuses to sell on the grounds that he is going anyway. (The item in his possession makes no difference.) It could be a different variant.
It definitely sounds like a variation of it. Well, the core idea is the same for the purposes of this video 😄
3:20
Wouldn't giving it to someone be selling for 0$?
Wouldn't paying 1$ to someone to take the bottle off your hand would be selling it for -1$?
You can't give it away for free, and paying someone to take it is not exactly "selling" it
pretty cool how he just causally disproves god in under a minute.
Nuh-uh
Mysterious ways and stuff 😆
Plato should let Socrates pass first, and later throw him into the water. He said he would allow passage on a true statement -- but said nothing about what else he would do later. He said he would throw him in on a false statement -- but not that a false statement was the only condition under which he would throw him in. Allowing him to pass makes the statement true, which obliges Plato to throw Socrates in. Later.
Yep, this is it!
Great video you deserve many more viewers!
Thank you! I hope other people will feel the same!
Plato let's Socrates cross the bridge then throws him into the river
🎉🎉🎉🎉
or the opposite
Absolutely, as long as he let's him cross at some point in time, there's no contradiction really.
If you want to take it to the extreme you could even say that Plato let's Socrates cross the bridge after 20 years, as silly quirky Plato did an oopsie by not specifying WHEN Plato is going to let him through
Plato: okay, I'll subscribe
Nah I don't want that guy watching my stuff, I bet he'd constant leave comments like "akchtchually you were wrong at 5:23 because I know better"
For the end riddle, he didn't say the sentence has to be a true or false statement so he didn't have to play by his intentions and could have said something that has no true or false value, or is indeterminate such as "you may throw me into the river" either is a better answer he could have given.
This is really high quality man, it's nice to see small creators making good things! Keep it up PLEASE I love your style of content
Thank you so much! I have no intention of stopping anytime soon. Comments like yours really keep me motivated to go on!
HEY ALGORITHM, MORE THIS GUY
If you can convince the algorithm I'll pay you whenever you manage to make me rich 🤑
@@pointless_knowledge deal
Inflation means I can buy the bottle for 1¢ and sell it back for a deflated 1¢ the next day
Fun fact: This is a solution with 6 dice. Looking at this solution, you may see, how you could find a solution. You "move the row from left to right".
1 2 3 4 5 6
12 7 8 9 10 11
17 18 12 14 15 16
22 23 24 19 20 21
27 28 29 30 25 26
32 33 34 35 36 31
The winning percentage in both cases is the same. 55,56%.
In the case of the video you might compare it to this:
You roll two 3 sided die and win 2 of 3 ties.
In my case:
You roll two normal die and win 5 of 6 ties.
Both has a winning percentage of 55,56%. With more sides, winning chance of ties increases, but chance of ties decreases.
I did find other "setups" with more dice, it's the coolest thing ever
Bro really thought we wouldn't notice Schlatt in the background 🤣
What? What are you talking about? Are you out of your mind? I don't know what happened in 1999 leave me alone
1st time here, your pointless knowlwdge seems to be well rounded.
Liked & subbed
Thank you kindly ❤️
4:18 i think what you meant is "which line on the right is the least different in its length from the line on the left?" because line A is (in terms of distance) the closest to the line on the left 🤓
Yeah you're right except you forgot to consider that I'm brain dead
Awesome video. It baffled me when I saw your sub count about halfway through the vid, but it's definitely not gonna be that low for long.
Comments like yours really keep me going through the "harder" parts of doing videos like these! Thank you so much
what if the wish to the bottle is "let this bottle disappear"?
That's an interesting question, I have no idea though 😭
or to wish that you don't die
Eternal life can be a punishment as bad as going to hell
@@griff3n227 or to wish that you will never go to hell or anything along those lines
Well, the devil made the bottle.
He'd probably screw you up in some other way!
4:18 I thought that you meant the closest “line” (it’s actually a bar) in PROXIMITY, not HEIGHT (unless that’s what you intended) 😭😭😭😭
I suck at english 💀
Great stuff keep it up!
Your content is great.I think With a better sound quality and smoother editing, your videos could reach millions. Keep it up👍
My editing sucks? 🥺
@@pointless_knowledge noooo..😅but I edit as a part-time job, and I think your edits are quite shiny. that can look amazing, but sometimes it might distract viewers from the main content. Maybe toning it down a bit could help keep the focus on what's important? Thank you again for making contents and i think your content is high value even without editing♥️
@@pointless_knowledge did you create those 3D elements using Blender?
Awww thanks man! I'm scared people won't be engaged if I don't do "flashy" stuff.
And yes! The 3D bits are blender.
7:33 Plato gets to do whatever he wants, I guess.
Someone else gave a valid answer: plato let's him cross the bridge and then throws him into the water
This way:
Socrates spoke the truth => he gets to cross.
As what he said is true, it must happen, therefore plato throws him into the water
Excellent writing and editing brother!
Keep it up, your thumbnails and title game is already fire and the actual video was high quality, I expect great things!
Thank you so much, I am very insecure about my titles and thumbnails, I always feel like I could do more. I hope great things will come as well!
best vid ive seen today, im glad the algorithm found me
That's such a compliment! Thank you so much!
I watched it and wondered that you have so few views. Well done Video
Thanks! I think I still need to work on titles and thumbnails, they might not be captivating enough!
Is knoeledge ever pointless?
i dont think so.
Nevertheless, i came up to this video by chance and liked.
Will subscribe and see more
Cheers
Nice vid. Keep it going!
Thank you, I will :D
3:08 Just use cryptocurrency, problem solved.
I was just trying to make a point to segue into herd mentality 💀💀
But yeah if you account for real world fluctuations between currencies given by inflation, then the bottle becomes incredibly powerful with almost 0 drawbacks
hi :3 UwU
I have been looking at this comment for three days and it keeps haunting me every time I check my video's views...
I'm replying just to make it go away!