Mathematics Asked by simey on September 19, 2020
I’m struggling to figure out how to prove that the set of all finite subsets of $mathbb{R}_+$ is countable. I thought that it wasn’t but a TA told me it was and I need to prove why it’s countable. I don’t even know how to start this proof.
If it helps, I solved this problem with $mathbb{Z}_+$ by saying when writing down first several subsets of $mathbb{Z}_+$, you can clearly see a pattern that can be enumerated.
It is false. That set contains all the singletons from $R^+$ which is itself uncountable. So the set must be uncountable. Also, if $R^+$ is replaced by $Z^+$ it is still false as the power set of $Z^+$ is still uncountable !
Answered by The73SuperBug on September 19, 2020
1 Asked on January 7, 2022 by lww
1 Asked on January 7, 2022 by ruby-cho
3 Asked on January 7, 2022 by lucas-g
numerical linear algebra ordinary differential equations proof explanation robotics
1 Asked on January 7, 2022 by kaba
1 Asked on January 5, 2022
3 Asked on January 5, 2022
algebra precalculus egyptian fractions elementary number theory factoring quadratics
4 Asked on January 5, 2022 by truth-seek
3 Asked on January 5, 2022
1 Asked on January 5, 2022
1 Asked on January 5, 2022
1 Asked on January 5, 2022 by confuse_d
2 Asked on January 5, 2022 by unreal-engine-5-coming-soon
1 Asked on January 5, 2022
0 Asked on January 5, 2022 by medo
fourier analysis fourier transform harmonic analysis real analysis
0 Asked on January 5, 2022 by bachamohamed
1 Asked on January 5, 2022 by jonathan-x
definite integrals improper integrals integration laplace transform
Get help from others!
Recent Answers
© 2022 AnswerBun.com. All rights reserved. Sites we Love: PCI Database, MenuIva, UKBizDB, Menu Kuliner, Sharing RPP