Re: Replacement of Cardinality (ubiquitous ordinals)

On 08/04/2024 09:48 AM, Jim Burns wrote:

On 8/4/2024 10:36 AM, Ross Finlayson wrote:

On 08/03/2024 10:25 PM, Jim Burns wrote:

On 8/3/2024 11:51 PM, Ross Finlayson wrote:

On 08/03/2024 08:45 PM, Jim Burns wrote:

>

What does 'comprehension' mean where there are no sets?

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What can you think it means.

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Your rhetoric suggests that
_you_ don't have something in mind for the term
_you_ introduced,
and you'd like someone else to provide something
to have in mind. Please prove me wrong.
>
What does 'comprehension' mean where there are no sets?
>
Specifically,
what does 'expansion of comprehension' mean
in the context of
"geometry, axiomatic geometry or Euclid's"?

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No, "what can you think", it means.
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Usually it just means "construction".

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Okay. Then you did answer my question.
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"Comprehension", "construction" and "what can you think"
each seem to me very different from the other two.
>
I will let you carry on doing what it is you are doing.
>
>

I don't need your help nor permission, thanks.
And it's rather presumptious of you to not
make what is equi-interpretable to be equi-interpretable.
Jaded, say, biased, willfully ignorant, hypocritical, ..., "wrong".
Now, good sir, I don't need your help,
but it would assist others, to acknowledge
the equi-interpretability, and, the implicit
meta-theory, that in as with regards to theory,
that there is a theory, that there is "A Theory",
the definite article, the theory, as with regards
to that all mathematical objects live in a universe
and the theory has one in it.
In it. Of it, ....