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i love Shaun’s videos, but this is one of my favorites. the way he “negotiates” with the royal family is just chef’s kiss.
i love Shaun’s videos, but this is one of my favorites. the way he “negotiates” with the royal family is just chef’s kiss.
see it works
calling people online kid or kiddo.
edit: this isn’t about using the word altogether. it’s about comments online where people try to be condescending by calling other anonymous people “kid” or “kiddo”. always seems like compensation to me.
I’ve never watched day9 regularly but whenever I do it’s a joy. he seems to be a great guy indeed, and afaik never has been in any kind of YouTuber/streamer drama or anything.
no, i know and understand what you mean. as i said in my original comment; it’s not intuitive. but if everything in life were intuitive there wouldn’t be mind blowing discoveries and revelations… and what kind of sad life is that?
honestly that seems to be the only argument from the people who say it’s not equal. at least you’re honest about it.
by the way I’m not a mathematically adept person. I’m interested in math but i only understand the simpler things. which is fine. but i don’t go around arguing with people about advanced mathematics because I personally don’t get it.
the only reason I’m very confident about this issue is that you can see it’s equal with middle- or high-school level math, and that’s somehow still too much for people who are too confident about there being a magical, infinitely small number between 0.999… and 1.
you said 1/3 ≠ 0.333… which is false. it is exactly equal. there’s no flaw; it’s a restriction in notation that is not unique to the decimal system. there’s no “conflict with reality”, whatever that means. this just sounds like not being able to wrap your head around the concept. but that doesn’t make it a flaw.
yeah that’s because the little ones mean “hii” and the big ones mean “HELLO???!!”
fair enough, but i think the confusion for that commenter comes from a misunderstanding of the definition of the mathematical concept rather than the meaning of the English word. they just think irrational numbers are those that have infinite decimal digits, which is not the definition.
not really. i get it because we use rational to mean logical, but that’s not what it means here. yeah, real and normal are stupid names but rational numbers are numbers that can be represented as a ratio of two numbers. i think it’s pretty good.
you’re thinking about this backwards: the decimal notation isn’t something that’s natural, it’s just a way to represent numbers that we invented. 0.333… = 1/3 because that’s the way we decided to represent 1/3 in decimals. the problem here isn’t that 1 cannot be divided by 3 at all, it’s that 10 cannot be divided by 3 and give a whole number. and because we use the decimal system, we have to notate it using infinite repeating numbers but that doesn’t change the value of 1/3 or 10/3.
different bases don’t change the values either. 12 can be divided by 3 and give a whole number, so we don’t need infinite digits. but both 0.333… in decimal and 0.4 in base12 are still 1/3.
there’s no need to change the base. we know a third of one is a third and three thirds is one. how you notate it doesn’t change this at all.
non repeating
it’s literally repeating
.333… is rational.
at least we finally found your problem: you don’t know what rational and irrational mean. the clue is in the name.
you have to do this now
i don’t think any number system can be safe from infinite digits. there’s bound to be some number for each one that has to be represented with them. it’s not intuitive, but that’s because infinity isn’t intuitive. that doesn’t mean there’s a problem there though. also the arguments are so simple i don’t understand why anyone would insist that there has to be a difference.
for me the simplest is:
1/3 = 0.333…
so
3×0.333… = 3×1/3
0.999… = 3/3
that’s what i thought. I’m sure something’s going way over my head but my first thought was “how is this a tough choice or even a question”
of course they’ll keep it up. it’ll even have extra content, like multiple currencies, battlepasses, seasons and XP boosters.
wasn’t proton revealed to be bullshitting about privacy recently?
edit: swiss courts compelled protonmail to log IPs, keep fingerprints of browsers and disclose them to authorities. there is no privacy.