/sci/ - Science & Math

>>9054407

>>7467923

>selects image of coffee cup
>ERROR INVALID
>mfw

Yeah, Isolation has always been helpful for me. But I've been wanting to start some kind of exercise even if its only 20-30 mins a day to help clarity.

I just want to know if its ok to use R or C to prove stuff about N or other subclasses

>>7206867
b-but we're all gonna make it...
>>7206965
yeah besides the title it's not that humorous I guess

>>7171032
>nobel prize
>maths

Why dont we agree on the fact that infinity is just a word for a bunch of constructable sets from wich we take out elements?

If we know how a set constructs its elements we can talk more precisely about it and maybe this insight changes our function. Using inf all the time makes this idea impossible.

Or lets choose inf in your calculation to be a really big number that you can never possibly reach. You can actually work with that number because it hast specific propertys inf hasnt.

Using Inf is actually just taking a number and taking away some properties in a way that they cant be analysed anymore. Inf doesnt change the fact that whatever number you choose this number will still have some fucking properties (f.e. like being a prime number) that are changing with its construction.

The idea of inf (and cardinals) was made because some faggots couldnt deal with all that cellular-automaton like complexity arising everywhere in math so they threw everything in a bucket and wrote: "we dont know" on it.

Now all the supid fucks who arent able to come up with their own opinion repeat like parrots what other stupids fucks told them, even worse, they are defending it and with that they are creating the fucked up version of math with all its problems we have today. They are literally keeping math hostage.

Some genius help me prove this plz:
<span class="math"> \frac{4^{n+1}-1}{3} = \sum_{k=0}^{n}{4^{k}} [/spoiler]

1. Choose a random Number
2. if its even divide by 2
3. if its odd add 1
4. Repeat at step 2

This will always end in the sequence 2,1,2,1,...

How do I prove this?