@kennethamy,
kennethamy;143990 wrote:But that was not the criticism I replied to. You claimed fast's argument was invalid, it was not invalid.
Now, here is the argument (or reason):
1. The argument is that all and only what exists has properties.
2. Numbers do have properties, but fictional objects do not.
Therefore, 3. Numbers exist, but fictional objects do not.
This argument is valid. I expect you disagree with both premises. So, what is your disagreement?
I said his reasoning is fallacious, and as has been stated about twenty times, this is because he has claimed that "like it or not", if a thing has properties, then he has to agree that it exists. His reason for realism about numbers as abstract objects is that numbers have properties, and it's already been pointed out that the existence of abstract objects can be established in no other way. This means that the argument has this form:
1) the set of things with properties has the same members as the set of things which exist
2) (hidden premise) fictional objects do not have properties, therefore;
3) fictional objects do not exist
4) therefore fictional objects do not have properties.
---------- Post added 03-26-2010 at 11:55 PM ----------
fast;143992 wrote:Rudolph isn't an abstract object.
It's causally inert and doesn't have any location in space or time, of course it's an abstract object!