Recent content by MrBeezer

Hello, I made this video with my iphone depicting the Symmetries of a Tetrahedron for a presentation I did recently: I have been searching and trying to figure out if I have presented it correctly that a Tetrahedron has full S4 symmetry if we could reflect it in a "higher dimension." I was...

Yes I do, thank you!

Well, don't have to use proper subsets so technically we could have nested subsets where A_{1}=A_{2}=A_{3}=A_{4}... right? I know the infinite intersection of those sets would be infinite, but that's no fun. What if we had a infinite intersection of sets where A_{n}=N-\sum^{n}_{1}2n So...

Ok, that's what I was afraid of. Thank you for pointing out the gap there. I think I know a counter example, but my flawed inductive proof influenced me not to try it. Let A_{1}= {1,2,3,4...} A_{2}={2,3,4,5...} A_{3}={3,4,5,6...} Assume there is an element...

Homework Statement Decide if the following represents a true statement about the nature of sets. If it does not, present a specific example that shows where the statement does not hold: If A_{1}\supseteqA_{2}\supseteqA_{3}\supseteqA_{4}\supseteq...A_{n} are all sets containing an...