## ParthKohli 2 years ago Continuum Hypothesis is false.

1. ParthKohli

There is a bijection between the set of all decimal numbers and all whole numbers.\[0.00000000001\mapsto 1\]\[0.00000020000\mapsto 2\]We can do this for all whole numbers.

2. ParthKohli

How can there be different infinities? I find the argument completely pointless. What do you think?

3. UnkleRhaukus

well there are different infinities

4. ParthKohli

@UnkleRhaukus How do you say that? If you say that the set of whole numbers is less than the set of decimal numbers, I'd just add one to the number of whole numbers you claimed to have shown and I'd prove it wrong.

5. ParthKohli

Try it, make the set of whole numbers which you believe has infinite elements. It'd still be a subset of the set of whole numbers, right?

6. UnkleRhaukus
7. ParthKohli

OK, I think it'd be bad to challenge such conjectures. Closing...

8. UnkleRhaukus

have you watched the whole video ?

9. shubhamsrg

Well, I was reading this and could not understand most of it. But I feel it might help you guys . http://en.wikipedia.org/wiki/Continuum_hypothesis

10. shubhamsrg

Discussion about its validity is made there which am trying to grasp.