🧵 Untitled Thread
Anonymous at Mon, 21 Oct 2024 09:44:43 UTC No. 16442337
Ok, just when I was started to get used to complex numbers I was introduced to Grassmann numbers. WTF?
Anonymous at Tue, 22 Oct 2024 13:53:11 UTC No. 16444121
bump
Anonymous at Tue, 22 Oct 2024 14:26:40 UTC No. 16444159
They are a more complicated structure, sure, but they are taught early because of how useful they are.
Anonymous at Tue, 22 Oct 2024 15:18:10 UTC No. 16444233
>>16444159
>how useful they are
you mean made up? how is a•b=-b•a? that's not how math works
Anonymous at Tue, 22 Oct 2024 17:46:10 UTC No. 16444393
None of these 'numbers' works in real life scenarios.
Anonymous at Tue, 22 Oct 2024 18:03:21 UTC No. 16444427
>>16442337
Grassmann numbers aren't numbers in the same way complex numbers are, it is just a name. They are more like an exterior algebra of some vector space, where each basis vector is a distinct Grassmann "number." So this in no way an extension of real or complex numbers.
Anonymous at Tue, 22 Oct 2024 18:42:13 UTC No. 16444490
>>16442337
In one dimension, this is just R[x]/(x^2+1) vs R[x]/(x^2)
Anonymous at Tue, 22 Oct 2024 18:53:28 UTC No. 16444505
>>16444396
You can't find the roots of most cubic equations without the numbers you decry.
Anonymous at Tue, 22 Oct 2024 18:53:44 UTC No. 16444507
>>16444427
Complex numbers aren't numbers either. A number has to be one-dimensional. A two-dimensional object can never be a number.
Anonymous at Tue, 22 Oct 2024 18:54:54 UTC No. 16444512
>>16444505
They aren't roots if you have to make up imaginary nonsense. X^2 = -1 has no roots.
Anonymous at Tue, 22 Oct 2024 18:55:12 UTC No. 16444513
>>16444507
>A number has to be one-dimensional
Why?
Anonymous at Tue, 22 Oct 2024 18:58:41 UTC No. 16444518
>>16444513
Because a two-dimensional "number" is a vector and not a number.
Anonymous at Tue, 22 Oct 2024 18:59:28 UTC No. 16444519
>>16444518
Arbitrary language
Anonymous at Tue, 22 Oct 2024 19:05:17 UTC No. 16444527
>>16444507
Complex numbers are one dimensional. A complex scalar [z] is a 1x1 array of 1 complex number.
Anonymous at Tue, 22 Oct 2024 19:19:23 UTC No. 16444556
>>16444512
Everything in mathematics is made up you mouth breather. We needed to make up negative numbers to solve x + 1 = 0 as well. Does that mean they're invalid too?
Anonymous at Tue, 22 Oct 2024 20:07:27 UTC No. 16444621
>>16444556
Yes. You can't have -3 apples.
Anonymous at Tue, 22 Oct 2024 21:44:54 UTC No. 16444781
>>16444621
Wrong, bitch
Anonymous at Tue, 22 Oct 2024 22:11:39 UTC No. 16444813
>>16444621
Suppose you have no food so your friend lends you 3 apples to eat for breakfast, on the condition you give him 3 apples later.
How many apples do you have immediately after eating the 3 apples for breakfast?
Anonymous at Tue, 22 Oct 2024 22:31:42 UTC No. 16444845
>>16444813
0 apples
Anonymous at Tue, 22 Oct 2024 23:08:53 UTC No. 16444907
>>16444845
This post is antisemitic