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ParthKohli
 4 years ago
Continuum Hypothesis is false.
ParthKohli
 4 years ago
Continuum Hypothesis is false.

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ParthKohli
 4 years ago
Best ResponseYou've already chosen the best response.0There 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.

ParthKohli
 4 years ago
Best ResponseYou've already chosen the best response.0How can there be different infinities? I find the argument completely pointless. What do you think?

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.0well there are different infinities

ParthKohli
 4 years ago
Best ResponseYou've already chosen the best response.0@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.

ParthKohli
 4 years ago
Best ResponseYou've already chosen the best response.0Try 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?

ParthKohli
 4 years ago
Best ResponseYou've already chosen the best response.0OK, I think it'd be bad to challenge such conjectures. Closing...

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.0have you watched the whole video ?

shubhamsrg
 4 years ago
Best ResponseYou've already chosen the best response.0Well, 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

shubhamsrg
 4 years ago
Best ResponseYou've already chosen the best response.0Discussion about its validity is made there which am trying to grasp.
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