On 9/25/2012 9:51 PM, Jason Resch wrote:

On Sep 25, 2012, at 11:05 PM, meekerdb <meeke...@verizon.net> wrote:

On 9/25/2012 8:54 PM, Jason Resch wrote:

On Sep 25, 2012, at 10:27 PM, meekerdb <meeke...@verizon.net> wrote:

On 9/25/2012 4:07 PM, Jason Resch wrote:
 Yes. If we cannot prove that their existence is self-contradictory

Propositions can be self contradictory, but how can existence of something be self-contradictory?


Brent, it was roger, not I, who wrote the above. But in any case I interpreted his statement to mean if some theoretical object is found to have contradictory properties, then it does not exist.


No worries.

So you mean if some mathematical object implies a contradiction it doesn't exist, e.g. the largest prime number. But then of course the proof of contradiction is relative to the axioms and rules of inference.

Well there is always some theory we have to assume, some model we operate under. This is needed just to communicate or to think.

The contradiction proof is relevant to some theory, but so is the existence proof. You can't even define an object without using some agreed upon theory.

Sure you can. You point and say, "That!" That's how you learned the meaning of words, by abstracting from a lot of instances of your mother pointing and saying, "That."


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