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/sci/ - Science & Math

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15744029 No.15744029 [Reply] [Original]

>1 is divisible by 1
>1 is divisible by itself
>1 isn't a prime number because...it just isn't okay?

>> No.15744065
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15744065

>>15744029
>SCIENCE BAAAAAAD
>2000 YEAR OLD JEWISH FAIRY TALES GOOOOOD

>> No.15744090

>0! is 1 because... it just is okay?
>0 isn't a natural number because... it just isn't okay?

>> No.15744114

>>15744090
Exactly, both of those are conventions anon

>> No.15744116

>>15744029
Yeah, because that's the definition dumbass. If you want to define some sort of 'extended primes' that include 1. feel free. It's just that 1 is boring as fuck and putting it with other primes causes problems (all natural numbers no longer have exactly one unique prime factorization). 1 being a prime is detrimental to any serious study and application of primes, so we require that it isn't. Dumbass.

>> No.15744119

>>15744114
I’m curious if you know of a problem where 0!=1 is relevant.

>> No.15744129

>>15744119
It is. Because when you're doing combinatorics. It's a better answer to say that the number of ways to arrange 0 things in 1 way rather than in 0 ways, which means you can't arrange 0 objects (obviously less intuitive because 0 objects are always arranged in their one state of non existence). Also approximating factorials for reals is way better when 0! = 1.

https://en.wikipedia.org/wiki/Stirling%27s_approximation

>> No.15744137

>>15744119
>>15744129
when you do problems in combinatorics, you will see just how much this simple assumption helps. What could leave you banging your head against a wall for hours (even if logically consistent) would become a breeze. Again, there are applications where assuming.

Also think. if you assume 0! = 0, then 1! would be 1 x 0! which would be 0, obviously untrue. So, 0! = 1 is just a better extension. Conventions are chosen for a reason. Some people believe that 0! = 1, shouldn't be a called a convention, but rather a mathematical fact for the reason i just said. But i disagree with them atleast. There are logical ways to make 0! = 0 work, but it does require some unintuitive assumptions.

>> No.15744224

A prime number is a number that appears in the unique complete factorisation of an integer incel

>> No.15744239

Söyjack posters are unoriginal and boring.

>> No.15744535

>>15744029
1 divided by 1 is 1
1 goes into 1 one time
>do you see me ?

>> No.15744927

>>15744029
you can have different sets of primes if you ignore 1 and 2 instead of just ignoring 1.

>> No.15745171

>>15744029
Then 1 isn't even squarefree. And no primes are prime. Even your own mom wouldn't slide down that pole. (Unless she knew him first.)

>> No.15745177

>>15744927
You can't have any primes if you ignore 1.

>> No.15745271

>>15744029
Fundamental Theorem of Arithmetic, all positive integers can be made by a unique factorization of primes, if we say 1 is prime it fucks everything because 4 = 2*2*1*1*1 = 2*2 = 2*2*1
or something gay like that, I'm not severely math pilled
can any math fags tell me why im wrong or right

>> No.15745275

>>15745271
Sho you right but the grits is on fire get off the phone and make that right instead

>> No.15745382

>>15744065
Atheists are mentally retarded

>> No.15745390

>>15744029
>a prime number squared should also be a prime number because... it just should, okay?

>> No.15745395

>>15745177
explain

>> No.15745406

>>15745395
Lol I meant if you [don't] ignore 1

>> No.15745409

1 isn't a prime number because math is more useful when we don't treat it like one.

>> No.15745429

>>15745409
generalizing primes is more useful which means letting 1 be prime gives you the only finite set of primes.

>> No.15745438

>>15745429
is the empty set really finite?

>> No.15745441

>>15745438
0 is not a number and the empty set is not a set

>> No.15745447

>>15745441
So you're not this anon
> letting 1 be prime

>> No.15745477

>>15745441
i told someone that 0 isn't a number one time and they called me a gay retard, what is the reason?

>> No.15745499

>>15745477
>what is the reason?
They called you a gay retard because just like >>15745441, you are a gay retard.

>> No.15745501

>>15745382
go back

>> No.15745622

>>15745382
He's probably an agnostic LARPagan who can only communicate using slogans he learned on pol