On Sep 26, 2012, at 12:29 PM, meekerdb <[email protected]> wrote:
On 9/25/2012 9:51 PM, Jason Resch wrote:
On Sep 25, 2012, at 11:05 PM, meekerdb <[email protected]> wrote:
On 9/25/2012 8:54 PM, Jason Resch wrote:
On Sep 25, 2012, at 10:27 PM, meekerdb <[email protected]>
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
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.
Sorry.
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."
Brent
There is still an implicitly assumed model that the two people are
operating under (if they agree on what is meant by the chair they see).
Or they may use different models and define the chair differently.
For example, a solipist believes the chair is only his idea, a
physicalist thinks it is a collection of primitive matter, a
computationalist a dream of numbers.
Then while they might all agree on the existence of something, that
thing is different for each person because they are defining it under
different models.
Jason
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