Re: Replacement of Cardinality (effective bounds)

On 8/24/2024 4:50 PM, Ross Finlayson wrote:

On 08/24/2024 11:08 AM, FromTheRafters wrote:

WM has brought this to us :

Le 23/08/2024 à 20:06, joes a écrit :

The unit fractions don’t reach 0.

>
Of course not.
Therefore they must cease before.

>
Why must they cease at all?

>
He can just axiomatize it so,
saying that there's a rule.

Yes,
he can axiomatize it so.
However,
axioms set what the conversation is about.
Yes,
WM can change what his conversation is about.
So can you. So can anyone.
WM cannot change what his conversation is about while
keeping it part of the unchanged conversation.
I'm not declaring a rule,
anymore than it's a rule that circles are round.
It is how it is.
Suppose, purely hypothetically, that I have accused
all Germans of being assholes, and
WM intends to push back against this foul calumny.
"There are many very nice Norwegians", he says.
My advice would be to not.make this argument,
that its effect would be pretty much the opposite of
what WM might want for an effect.
There are striking parallels between
axiomatizing it so (changing what's discussed),
and a different country (changing what's discussed).
Yes, clearly, WM can do it.
Much less clear is why WM would do it.