Post Number:#1
December 25th, 2010, 8:43 pm
“The number three is prime”
Meinongianists claim that the sentence is true, and that, therefore, the number three is prime, but the number three doesn’t exist. Therefore, there is an object that doesn’t exist and is prime.
The refutation:
There is an object that doesn’t exist, or there isn’t.
If there is an object that doesn’t exist, then it is something or nothing.
An object that doesn’t exist is something only if it has some features that nothing doesn’t have.
An object that doesn’t exist has all the same features that nothing has: they both have no features at all.
Therefore, an object that doesn’t exist is nothing.
Nothing is an object that doesn’t exist is the same as its not being the case that there is an object that doesn’t exist.
Therefore, it is not the case that there is an object that doesn’t exist.
A Meinongian reply:
Reject 4th premise: Because there is an object that doesn’t exist that has some feature that nothing has: the number three doesn’t exist and it is prime.
My reply:
But Meinongianists claims that there are objects that don’t exist that are not prime, for example, the number four is an object that doesn’t exist and is not prime.
Therefore, not existing and being prime are independent features of objects that don’t exist: having not existing does not require having being prime.
Therefore, not existing is a feature that the number three has independently of its having being prime.
So, the number three is an object that doesn’t exist, or it is not the case that it is an object that doesn’t exist.
In either case, it follows that: it is not the case that it is an object that doesn’t exist.
Therefore, it is not the case that the number three doesn’t exist and is prime.
Meinongianists claim that the sentence is true, and that, therefore, the number three is prime, but the number three doesn’t exist. Therefore, there is an object that doesn’t exist and is prime.
The refutation:
There is an object that doesn’t exist, or there isn’t.
If there is an object that doesn’t exist, then it is something or nothing.
An object that doesn’t exist is something only if it has some features that nothing doesn’t have.
An object that doesn’t exist has all the same features that nothing has: they both have no features at all.
Therefore, an object that doesn’t exist is nothing.
Nothing is an object that doesn’t exist is the same as its not being the case that there is an object that doesn’t exist.
Therefore, it is not the case that there is an object that doesn’t exist.
A Meinongian reply:
Reject 4th premise: Because there is an object that doesn’t exist that has some feature that nothing has: the number three doesn’t exist and it is prime.
My reply:
But Meinongianists claims that there are objects that don’t exist that are not prime, for example, the number four is an object that doesn’t exist and is not prime.
Therefore, not existing and being prime are independent features of objects that don’t exist: having not existing does not require having being prime.
Therefore, not existing is a feature that the number three has independently of its having being prime.
So, the number three is an object that doesn’t exist, or it is not the case that it is an object that doesn’t exist.
In either case, it follows that: it is not the case that it is an object that doesn’t exist.
Therefore, it is not the case that the number three doesn’t exist and is prime.