I was checking for counter examples and then I understood why this was upvoted
You heard me.
Submitted 7 months ago by fossilesque@mander.xyz to science_memes@mander.xyz
https://mander.xyz/pictrs/image/8101c4e5-22a7-4254-a409-bc231c7dd11a.jpeg
Comments
Mechaguana@programming.dev 7 months ago
ladicius@lemmy.world 7 months ago
If you find any counter example please let us know.
Pretty sure some people would find it interesting.
lugal@sopuli.xyz 7 months ago
Let me try: to narrow down a bit, we take a subset of uneven numbers. We know that almost all prime numbers are even so lets pick prime numbers at random and see what happens:
5+7=12 (even)
3+11=14 (even)
13+9=22 (even)
2+2=4 (even)
I’m out of ideas but maybe someone can take this approach and land somewhere.
letsgo@lemm.ee 7 months ago
Species 8472 has three legs. Three is an odd number. Four would be an odd number of legs for a member of Species 8472 to have. Three plus four is seven, which is odd (2x3+1). Two odd numbers can therefore add to an odd number.
Snoopey@lemmy.world 7 months ago
Yess this made my morning, thank you. BITCH!!
Rodeo@lemmy.ca 7 months ago
Addition is science.
lugal@sopuli.xyz 7 months ago
Always has been
cyberic@discuss.tchncs.de 7 months ago
Quick Proof: Let k be an even number, then (k +1) is odd.
(k +1) + (k+1) = k + 1 + k + 1 = 2k + 2 which will be even.
MBM@lemmings.world 7 months ago
That’s if you add two of the same odd number. The more general proof is basically the same though: let
n
andm
be integers, then2n+1
and2m+1
are odd.(2n+1) + (2m+1) = 2n + 2m + 2 = 2(n+m+1)
which will be even.Pfnic@feddit.ch 7 months ago
This is why I failed at uni. I’m struggling so hard to make sense of such proofs, even if I understand the underlying concepts… :(
stebo02@sopuli.xyz 7 months ago
Or you can just like, understand that an odd number is one more than an even number so if you add them together it’s two more than an even number, hence even.
trimmerfrost@lemm.ee 7 months ago
Meow