Virgil
Posts:
8,833
Registered:
1/6/11


Re: The selfcontradictory infinite hotel
Posted:
Feb 23, 2014 4:01 PM


In article <ledaon$1f2$1@dontemail.me>, "Julio Di Egidio" <julio@diegidio.name> wrote:
> Indeed. To reiterate, mine was not an objection to the notion of 1to1 > mappings, e.g. I have no qualms with the idea that there are as many even > natural numbers as there are natural numbers: both collections are simply > *endless*. It is the idea that the natural numbers form a set, i.e. a > complete totality that is, as I am contending, untenable.
If you can speak of the natural numbers collectively, as you just did, then in your mind you can distinguish them for everything else, which is just what claiming a set(collection) of them is doing.
So you are, in effect, saying that you cannot do what you have just done. 

