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: > http://en.wikipedia.org/wiki/Dialetheism > > 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 > logics. > > 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. > > Craig > > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to everything-list+unsubscr...@googlegroups.com. > To post to this group, send email to everything-list@googlegroups.com. > Visit this group at http://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/groups/opt_out. > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.