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ParthKohli

  • 3 years ago

Continuum Hypothesis is false.

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  1. ParthKohli
    • 3 years ago
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    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
    • 3 years ago
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    How can there be different infinities? I find the argument completely pointless. What do you think?

  3. UnkleRhaukus
    • 3 years ago
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    well there are different infinities

  4. ParthKohli
    • 3 years ago
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    @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
    • 3 years ago
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    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
    • 3 years ago
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    http://www.numberphile.com/videos/countable_infinity.html

  7. ParthKohli
    • 3 years ago
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    OK, I think it'd be bad to challenge such conjectures. Closing...

  8. UnkleRhaukus
    • 3 years ago
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    have you watched the whole video ?

  9. shubhamsrg
    • 3 years ago
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    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
    • 3 years ago
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    Discussion about its validity is made there which am trying to grasp.

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