this post was submitted on 27 Dec 2023
369 points (100.0% liked)

196

16379 readers
38 users here now

Be sure to follow the rule before you head out.

Rule: You must post before you leave.

^other^ ^rules^

founded 1 year ago
MODERATORS
 
all 37 comments
sorted by: hot top controversial new old
[–] jastyty@lemmy.world 55 points 10 months ago (3 children)

In binary the answer is good, which is fun

[–] Eagle0600@yiffit.net 83 points 10 months ago (1 children)

In binary the one on the left is meaningless, and therefore the two cannot be compared. In any base in which they can be compared, the one on the left is smaller.

[–] itslilith@lemmy.blahaj.zone 28 points 10 months ago* (last edited 10 months ago) (3 children)
[–] Eagle0600@yiffit.net 13 points 10 months ago

Alright, you've got me there.

[–] Sonotsugipaa@lemmy.dbzer0.com 2 points 10 months ago (1 children)

Wouldn't that require the number of available digits to be 1/10?

[–] itslilith@lemmy.blahaj.zone 6 points 10 months ago

Fractional bases are weird, and I think there's even competing standards. What I was thinking is that you can write any number in base n like this:

\sum_{k= -∞}^{∞} a_k * n^k

where a_k are what we would call the digits of a number. To make this work (exists and is unique) for a given positive integer base, you need exactly n different symbols.

For a base 1/n, turns out you also need n different symbols, using this definition. It's fairly easy to show that using 1/n just mirrors the number around the decimal point (e.g. 13.7 becomes 7.31)

I am not very well versed in bases tho (unbased, even), so all of this could be wrong.

[–] Klear@sh.itjust.works 1 points 10 months ago
[–] Zoboomafoo@lemmy.world 10 points 10 months ago

The rainbow represents Alan Turing, who taught the child binary

[–] TonyHawksPoTater@kbin.social 17 points 10 months ago (1 children)

Goddang liberals wanna take God out of school and replace him with gay math

[–] Malgas@beehaw.org 3 points 10 months ago

That rainbow is a promise from God that 10 will never be greater than 3 again.

[–] joucker29@lemmy.world 16 points 10 months ago

Obviously he is correct because the smallest base that can represent 10 is base 2 and 10 in base 2 is equal to 2 in base 10. And the smallest base in which you can represent the number 3 is base 4 and 3 in base 10 in equal to 3 so 2 is the smaller number hence "10" is the smaller number. And from the drawing of the rainbow you can infer that he wants to use a diverse range of bases and not just the common base 10. Btw I am only talking about the natural bases (whole number positive).

[–] unreachable@lemmy.world 15 points 10 months ago

flawless answer and arguments

[–] Jumuta@sh.itjust.works 15 points 10 months ago* (last edited 10 months ago) (2 children)
[–] Godnroc@lemmy.world 18 points 10 months ago (3 children)
[–] Rai@lemmy.dbzer0.com 14 points 10 months ago

listen here u little

[–] user224@lemmy.sdf.org 4 points 10 months ago

No, the -10.

[–] yokonzo@lemmy.world 1 points 10 months ago (3 children)

I mean technically zero is not a number

[–] TotallynotJessica@lemmy.world 2 points 10 months ago

By some definitions, maybe. However, definitions that exclude it probably do so for a specific reason. It's more a fluke of categorization than a real world distinction. Those distinctions might be critical to certain logic systems, but even most people who use that definition recognize reality.

Zero is a number in more cases than it isn't. It is a symbol that represents a value. Just like infinity, it doesn't matter if 0 doesn't exist in physical reality. It's still a useful value in most cases.

[–] Klear@sh.itjust.works 2 points 10 months ago (1 children)

Who told you that nonsense?

[–] yokonzo@lemmy.world 1 points 10 months ago (1 children)

Zero is the absence of a number, or a placeholder, not a number 🤷‍♂️ there's been mathematicians arguing over this for years my dude

[–] Klear@sh.itjust.works 1 points 10 months ago (1 children)
[–] yokonzo@lemmy.world 1 points 10 months ago

It's just a thought experiment, chill out

[–] ReveredOxygen@sh.itjust.works 1 points 10 months ago
[–] aeharding@lemmy.world 2 points 10 months ago

This is something I would do in school unironically.

[–] cupcakezealot@lemmy.blahaj.zone 11 points 10 months ago* (last edited 10 months ago) (1 children)

i too am gay and can't do maths

[–] platypus_plumba@lemmy.world 5 points 10 months ago (1 children)

TIL there's such a thing as being too gay for math.

[–] FlyingSquid@lemmy.world 6 points 10 months ago

Too fabulous for calculus.

[–] thisNotMyName@lemmy.world 8 points 10 months ago (4 children)

What are you supposed to write there? I guess 3 < 10 is not the answer. It also requires text, so drawing 3 vs 10 of something isn't suitable, too. "You taught us" or what do they want to hear??

[–] datelmd5sum@lemmy.world 4 points 10 months ago (1 children)

If | A - B | != A - B then B > A

[–] Daft_ish@lemmy.world 1 points 10 months ago

Are you a computer?

[–] spujb@lemmy.cafe 3 points 10 months ago

i think when it says ‘or show’ it allows a drawing

id probably put dots … ………. then circle the bigger one

[–] kuberoot@discuss.tchncs.de 2 points 10 months ago

I imagine you might say that 10 has two digits, so it has to be bigger. Or maybe you can list out the first 10 numbers in order.

[–] TimewornTraveler@lemm.ee 2 points 10 months ago

says Tell or show, so probably math or drawings or words are all fine

[–] affiliate@lemmy.world 7 points 10 months ago

they never specified the order relation, so we can’t really know what they meant by smallest. for all we know, 10 could be the right answer

[–] PixlShft@lemmy.dbzer0.com 5 points 10 months ago

10 Skittles < 3 elephrants.

[–] bfg9k@lemmy.world 1 points 10 months ago

They're out of line, but they're right