ITT: brainlet filters

Why would I pick three? I only have two feet.

You're wrong. While you will get at least two socks of the same color, you are not guaranteed that you will get both a left and a right sock.

He didn't say they were socks for your feet.
>He doesn't have a dick sock

A complicated proof is not necessary. Since we only have 3 socks and need 1 pair, we can literally go through each draw one by one.

You draw [math] sock_1 [/math].
[math] sock_1 [/math] is either blue or black.
Case 1: [math] sock_1 [/math] is blue.
You draw [math] sock_2 [/math]. It is either blue or black.
Case 1.a:
[math] sock_2 [/math] is blue. We are done.
Case 1.b:
[math] sock_2 [/math] is black.
You draw [math] sock_3 [/math].
Case [math]1.b. \alpha [/math]: [math] sock_3 [/math] is blue. We are done.
Case [math]1.b. \beta [/math]: [math] sock_3 [/math] is black. We are done.

Analogous for Case 2.
q.e.d.

is this really what philosophers do all day?

Pigeonhole principle. How is this difficult?

I think this thesis should have been thrown out on the grounds that even if the nugget of real research into some niche field of algebra/nnumber field is acceptable, the fact that she wasted this much time writing a vernacular derivation of counting arithmetic all the way up to her research means that she could have instead been improviing her actual research by investigating next developments further, characterising use cases, linking cohesively with other research or other useful things that would have added to the body of humanity's mathematical knowledge.

it's shameful that she got a PhD with this.
at teh very least the supervisors should have told her to rewrite it .

>pick a sock
>rip it up
>pick another sock
>burn it to ash
>pick a sock

>that feel when no pair of socks

the first sock can be either blue or black
the second sock can be eitheer blue or black.
the third sock can be either blue or black.
so there are 2^3 possible sequences of socks that can be picked because each picking can be either blue or black.

so the possible sequences of socks picked are
black, black, black
black, black, blue
black, blue, black
blue, black, black
blue, blue ,black
blue, black, blue
black, blue , black
blue, blue, blue

as we can see all possible sequences either at least 2 blue socks or at least two black socks.

A = blue
B = black

AAA (AA)
AAB (AA)
ABA (AA)
ABB (BB)
BAA (AA)
BAB (BB)
BBA (BB)
BBB (BB)

if there are less than 3 socks
then a pair is not guaranteed
A
B
AA (AA)
AB
BA
BB (BB)