Quentin Anciaux skrev:
> Hi,
>
> 2009/5/8 Torgny Tholerus <torgny.domain.name.hidden>:
>
>> I was an ultrafinitist before, but I have changed my mind. Now I accept
>> that you can say that the natural numbers are unlimited. I only deny
>> actual infinities. The set of all natural numbers are always finite,
>> but you can always increase the set of all natural number by adding more
>> natural numbers to it.
>>
> Then it's not the set of *all* natural numbers. You do nothing by
> adding a number... you don't create numbers by writing them down, you
> don't invent properties about them, it's absurd... especially for a
> zombie.
>
What do you mean by *all*? How do you define *all*? Can you give a
definition that is not a circular definition?
--
Torgny
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Received on Sun May 10 2009 - 19:05:43 PDT