Re: Replacement of Cardinality (infinite middle)

On 8/12/2024 12:48 PM, Moebius wrote:

Am 12.08.2024 um 20:37 schrieb Jeff Barnett:

On 8/12/2024 11:22 AM, Moebius wrote:

Am 12.08.2024 um 18:39 schrieb Jim Burns:
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Cantor believed the continuum hypothesis to be true
and tried for many years to prove it, in vain.

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Yeah, though today we are ably to "understand" (to a certain extend, it seems) the (possibe) reasons fo t/his inability.
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But the question is by no means settled.
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See: https://en.wikipedia.org/wiki/ Continuum_hypothesis#Arguments_for_and_against_the_continuum_hypothesis

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It will never be more settled than it is today. In ZF and it's variants you can take it or leave it as you probably well know. And it isn't going to be more settled than that.

 So you didn't follow the link? What a pitty. (->ignorance)

Have you read "Zermelo's Axiom of Choice its origins, development, and influence" by Gregory H. Moore? It's now available in paperback so is affordable. I read it ages ago and it covers far far more than the wiki article you recommended. (I looked it over before my first response in this thread.) So should I call you ignorant by assuming you haven't read the book I recommend now?
No, I have no idea how ignorant you are. On the other hand, your last message makes be think you are an arrogant little snot.
If you actually think I missed something about a good definition of "settled", you should have defined the word as you seem to have a slightly nonstandard meaning. At this point don't bother - go back to tilting with trolls.
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Jeff Barnett