Sythe Users: What Do They Know? Do They Know Things?? Lets Find Out! #5

Walter, jim's brother from another mother, is facing execution by death for being friend with jim.

His overlords are giving him a chance to redeem himself if he can prove without a doubt to his overlords that there are more real numbers than there are natural numbers

Being a little bit retarded, Walter has come to you in hopes that you might be able to save him and his family of people!

Quick, to your drawing board!

to save Walter, you must come up with a mathematically correct proof that the size or R > the size of N

Any valid mathematical proofs can be used to solve the problem

Free Walter!

#ObamaCare

 

To bad Walter is just a musician like the rest of the Shitty people, and does not know much math or phsyics. Luckily, by banging his head against the rocket hard enough, Walter has deduced the bloodflow from his head to his toes is = the square root of -1, there for proving aliens aren't yellow.

 

by doing so, walter merely found the irrational number 'i'

 

And by having found I, knowing it is a real number but not a natural number, walter has pleased said overlords.

 

that is not how it works, the overlords are not pleased with your attitude young boy

 

But both the real numbers and the set of natural numbers are infinite set ... (2 * &#8734 is still ∞.

how can you prove that one 'infinite' is larger than the other 'infinite'?

Your logic works when working with 2 finite sets but doesn't work with infinite sets

Walter is starting to feel the heat

 

You just answered your own question by stating it is inherently flawed/unanswerable.

 

xdddddddddddddddddddddddddddddddddddddddddddddddddddddddd

 

you can't use finite examples to prove the size of infinite sets

to save Walter, you must come up with a mathematically correct proof that the size or R > the size of N

time is running out!

 

No I did not, i just showed that Walter can't solve this problem with that logic, but didn't say there was no mathematically correct solutions to this problem

 

i'll give you some help:

if you assume that the size of 'N' is countable, how could you go about to prove that 'R' is of bigger size

 

fucken newfags amirite?

 

what you're induction proof tells the overlords is that 'N' != "R" and that 'N' would reach infinity 'faster' than 'R' but it doesn't prove that 'N' is of lesser size than 'R'.

You're induction proof also takes for granted that 'Z' has more elements in it than 'N', which it does not.

which is why you can't just use the finite set theory and apply it directly to infinite set theory

The overlords are starting to set-up the guillotine

 

granted, i edited my post, to include the fact that you're proof sits on the theory that the size of 'Z' > the size of 'N' but in fact, the size of 'Z' <= the size of 'N'

you have to come up with a mathematical proof that shows that |R| > |N|

 

R+1 > N+1