Thread 16693929 - /sci/ [Archived: 1122 hours ago]

Anonymous
6/10/2025, 3:38:20 AM No.16693929
1749512598362620
1749512598362620
md5: 314db16f9d35913c5d363c4443d0a1e4🔍
I told my friend that 1+1=2 and he told me to prove it but I couldn't and he just laughed and said math was fake. How do we respond /sci/...
Replies: >>16693937 >>16693947 >>16693953 >>16693957
Anonymous
6/10/2025, 3:43:44 AM No.16693933
Exercise for the reader.
Replies: >>16693961
Anonymous
6/10/2025, 4:03:41 AM No.16693937
1+1=2
1+1=2
md5: 5716c9b342f4e135b9ab6f23d5731b02🔍
>>16693929 (OP)
Just tell him to read the first 800 pages of Principia Mathematica, isn't that how you learned how to prove it when you were 4?
Anonymous
6/10/2025, 4:27:31 AM No.16693947
>>16693929 (OP)
OK OP, let's say we have a right angle triangle, with two sides both 1 cm. We know that 1^2 + 1^2 = C^2, or that 1 + 1 = C^2.
Since both sides are equal, and all triangles have internal angles totalling 180 degrees, both of the non-right angles must be 45 degrees.
To find C, we'll use trigonometry. We know that the sine of 45 must equal either of the 1 cm sides over C cm, or 1/C. The sine of 45 is known to be 1/[2^(1/2)], thus 1/[2^(1/2)] = 1/C. If we multiply both sides by C, we find that C/[2^(1/2)] = 1. Multiplying both sides by [2^(1/2)] this time, we now get C = 2^(1/2). Since 1 + 1 = C^2, and C = 2^(1/2), we know that 1 + 1 = [2^(1/2)]^2 or 1 + 1 = 2.
Anonymous
6/10/2025, 4:49:44 AM No.16693953
>>16693929 (OP)
Anyone seriously trying to "prove that 2+2=4" isn't really cut out for math.
Anonymous
6/10/2025, 4:53:14 AM No.16693957
>>16693929 (OP)
idk tautology? give him an example. skepticism is a disease
Anonymous
6/10/2025, 5:01:35 AM No.16693961
>>16693933
One day Shizuo Kakutani was teaching a class at Yale. He wrote down a lemma on the blackboard and announced that the proof was obvious. One student timidly raised his hand and said that it wasn't obvious to him. Could Kakutani explain?

After several moments' thought, Kakutani realized that he could not himself prove the lemma. He apologized, and said that he would report back at their next class meeting.

After class, Kakutani, went straight to his office. He labored for quite a time and found that he could not prove the pesky lemma. He skipped lunch and went to the library to track down the lemma. After much work, he finally found the original paper. The lemma was stated clearly and succinctly. For the proof, the author had written, 'Exercise for the reader.'

The author of this 1941 paper was Kakutani
Anonymous
6/10/2025, 5:03:46 AM No.16693962
1724507449786441
1724507449786441
md5: d7fcd1bd4494e03b77479750dabd2ec4🔍
This is a basic dictionary question about what words mean, not a math question. Shit like this goes in >>>/lit/
Anonymous
6/10/2025, 10:31:11 AM No.16694071
Okay, smarty. Go grab one pen. Now grab another pen. How many pens do you have? Yeah, exactly. 1+1=2