Jakob
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 Sep 29 comment What are some things we can prove they must exist, but have no idea what they are? Never heard this one stated where the number of pieces was 5. Does that imply that the new balls are made from 2 and 3 pieces each? Sep 18 comment Is there more to explain why a hypothesis doesn't hold, rather than that it arrives at a contradiction? Love it. This kind of "why" explaination will make her shut up! Sep 16 comment Are there real numbers that are neither rational nor irrational? @MichaelS because the image is wrong. The transcedental set is the "biggest" of them all. Jul 2 comment Show that Axioms 7, 8, and 9 hold. k works on v the same way as on u. Meaning kv = (0,kv2) May 26 comment Is a proof still valid if only the writer understands it? @MauroALLEGRANZA I dont see how that is relevant to this question. My point is that the validity of a proof is independent of how many people understand the proof. Otherwise we must ask ourselves the question "How many people does it takes to change a light...i mean, validitate a proof". 2? 3? How many people understand Wiles proof of Fermats last? May 26 comment Is a proof still valid if only the writer understands it? I dont agree with this at all. A legitimate proof is true no matter how many people understand it. If a proofs validity is due to some social act then one could argue that an invalid proof could be accepted as true just because alot of people accept it as a proof. May 26 comment Is a proof still valid if only the writer understands it? Is a proof still valid if 2 persons understand it? 3? 4? Wiles proof of Fermats last theorem is valid yet very few can say they understand it. I would say that a proof is correct even if only one person understands it, how many people understand a proof does not change if its valid or not. May 19 comment Why Elliptic Curves have so many nice properties "Why" is a difficult question when it comes to math. One could say that one answer is due to the axioms we use. But Im guessing thats not the answer you are looking for... Apr 16 comment What's the best strategy to count the eggs in the jar? 157. Give or take... Feb 17 comment Divisibility test for $4$ Now it makes sense. Thanks for clearing that up! Feb 14 comment Divisibility test for $4$ I dont see how it can be 'if and only if...' when numbers like 12 dont have the last digits divisible by 4 and yet the number itself is divisible by 4. Feb 14 comment What's the intuition behind Pythagoras' theorem? "I asked my teacher but she's clueless and said Pythagoras's Theorem had nothing to do with squares."....wat. Jan 27 comment Calculating the limit $\lim_{n\to\infty}\frac{1}{n\ln [n(\ln \ln n)^p]}.$ if p = 0 then why keep that part in the denominator in the first place? I dont see how this could be an issue in this case. Jan 22 awarded Commentator Jan 22 comment Is mathematics one big tautology? Great answer. The painter analogy gave me goosebumps. Dec 17 comment Monty hall problem extended. This is one of the best explanations of this I have ever read. Nov 28 comment How many integers from $1$ through $999,999$ contains digit $1$? Divide up the problem..count the number of 1 digit numbers that do not contain a "1". Thats easy, obviously, then do it for 2 digit numbers. Do you see a pattern in the logic of that calculation? Now expand that to 3 digits, 4, 5 etc etc. Oct 28 awarded Supporter Jan 15 comment Combinatorics ball-counting problem. But the first part of the question does not mention color at all. It simply asks in how many ways can one choose 3n balls from 6n balls. Thus 6n choose 3n. Jan 15 answered Combinatorics ball-counting problem.