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From: Jeff Barnett <jbb@notatt.com>
Newsgroups: sci.logic,sci.math
Subject: Re: Replacement of Cardinality (infinite middle)
Date: Mon, 12 Aug 2024 18:16:55 -0600
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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:
>>>
>>>> Cantor believed the continuum hypothesis to be true
>>>> and tried for many years to prove it, in vain.
>>>
>>> Yeah, though today we are ably to "understand" (to a certain extend, 
>>> it seems) the (possibe) reasons fo t/his inability.
>>>
>>> But the question is by no means settled.
>>>
>>> See: https://en.wikipedia.org/wiki/ 
>>> Continuum_hypothesis#Arguments_for_and_against_the_continuum_hypothesis
>>
>> 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.
-- 
Jeff Barnett