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Dcleve
Dcleve
04:38
@PeterJ -- I am interested in exploring your thinking on this. I found the prior post you did on this to be suggestive for me, where you wrote: "the rules for Aristotle's system do not allow exceptions to the LNC". This is true, and I agree. But postulate a different system, with a different rules set, and one could (and does) have allowed exceptions to the LNC. But then in this post, you appear to make a further pair of leaps, which are unsupported by sufficient justification.
The first was: "My proposal is that there are no true contradictions, and that the rules of Aristotle's logic ensure there can never be one", which scans to me as basically a claim that Aristotle's logic is the only actual logic. The second is "This issue is utterly crucial in metaphysics" , which appears to embed Aristotelean logic as the fundamental substrate of the universe.
 
5 hours later…
PeterJ
PeterJ
09:48
@Dcleve - I suspect some of these issues arise because we're restricted to short comments. Your objections are fair but I think they can be dissolved.
I was suggesting that there can be no undecidable contradiction in the dialectic because a contradiction could only occur between illegitimate propositions. Aristotle's rule for contradictory pairs (RCP) stipulates one must be true an the other false. In this case any undecidible contradiction is a violation of the RCP and the LNC and LEM would not apply. .
The issue is crucial in metaphysics because it obviates the need for dialethism, paraconsistent logic and the idea there are true contradictions. It means that metaphysics can be done with just ordinary dialectic logic. This works, so there is no evidence that Reality uses a different logic. This makes sense if we believe that the creation of the psycho-physcical world is a process of Mind, and explains the 'unreasonable effectiveness of mathematics'.
Pleas feel free to make objections. I'm always doing Reality-checks for my views.

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