Ooops, I did it again, I played with your heart.
On Wed, Oct 23, 2013 at 8:39 AM, Craig Weinberg <whatsons...@gmail.com>wrote:
> Dialetheism is the view that some statements can be both true and false
> simultaneously. More precisely, it is the belief that there can be a true
> statement whose negation is also true. Such statements are called "true
> contradictions", or dialetheia.
> Dialetheism is not a system of formal logic; instead, it is a thesis about
> truth, that influences the construction of a formal logic, often based on
> pre-existing systems. Introducing dialetheism has various consequences,
> depending on the theory into which it is introduced. For example, in
> traditional systems of logic (e.g., classical logic and intuitionistic
> logic), every statement becomes true if a contradiction is true; this means
> that such systems become trivial when dialetheism is included as an axiom.
> Other logical systems do not explode in this manner when contradictions are
> introduced; such contradiction-tolerant systems are known as paraconsistent
> Graham Priest defines dialetheism as the view that there are true
> contradictions. JC Beall is another advocate; his position differs from
> Priest's in advocating constructive (methodological) deflationism regarding
> the truth predicate.
> Dialetheism resolves certain paradoxes
> The Liar's paradox and Russell's paradox deal with self-contradictory
> statements in classical logic and naïve set theory, respectively.
> Contradictions are problematic in these theories because they cause the
> theories to explode—if a contradiction is true, then every proposition is
> true. The classical way to solve this problem is to ban contradictory
> statements, to revise the axioms of the logic so that self-contradictory
> statements do not appear. Dialetheists, on the other hand, respond to this
> problem by accepting the contradictions as true. Dialetheism allows for the
> unrestricted axiom of comprehension in set theory, claiming that any
> resulting contradiction is a theorem.
> It occurs to me that MWI is a way of substantiating dialetheism as a
> physical reality...in order to avoid having to internalize the possibility
> of dialetheism metaphysically.
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