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TML: The Infinities In Between (2 of 2)

more on infinity and the Continuum Hypothesis  
 
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More From: CellarAcademic

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gen6k (2 weeks ago) Show Hide
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why dont u just do an inverted power set thats a vacuum between the two but have antinumbers instead of reals.
ILoveYouToThe9999999 (1 month ago) Show Hide
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I found a rule that makes the reals countable.
DJFishlips (1 week ago) Show Hide
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let me guess: this margin is too small to contain it :)
ILoveYouToThe9999999 (1 week ago) Show Hide
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No but it needs to be proved.
MrMush4Brains (1 month ago) Show Hide
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An earlier comment is correct - Aleph-one means the second size of infinity, and since no one has proven the Continnum Hypotheis, we can't say that the cardinality of the continuum is aleph-one. You mean ro say beth-one.  Still a good video.
DanRYoung (3 months ago) Show Hide
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You've presented a very clear video examining some of the astounding ideas Cantor gave us. I have yet to take a class on set theory, but your video is good inspiration to consider doing so. Thanks!
CellarAcademic (3 months ago) Show Hide
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Thanks much. Be warned however. Set theory can be mind-numbing. It's essentially 90% philosophy (the scary kind of philosophy).
owchywawa (6 months ago) Show Hide
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Why wouldn't someone assume that all numbers are infinite; that all numbers are actually subsets of infinity? There are infinite points between the numbers 1 and 2 for example. Would not then 2 simply be a set of infinity?
CellarAcademic (6 months ago) Show Hide
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You could do that if you found something useful in the process. Of course, in that case, it would be difficult to call it math since the number 2 has had a very simple, concrete, and finite interpretation ever since humans were counting their sheep
owchywawa (6 months ago) Show Hide
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Yeah. I was thinking about Zeno's paradox at the time. To define 2 as infinity would be pretty useless if we are talking about sheep. I was thinking about space and time.

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