# Re: Prime Numbers

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

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```On 9/25/2012 8:54 PM, Jason Resch wrote:
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On Sep 25, 2012, at 10:27 PM, meekerdb <meeke...@verizon.net> wrote:

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```On 9/25/2012 4:07 PM, Jason Resch wrote:
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``` Yes. If we cannot prove that their existence is self-contradictory
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Propositions can be self contradictory, but how can existence of something be self-contradictory?
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Brent
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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.
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Sorry.

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No worries.

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

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Brent

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