Re: Dialetheism

Go meet Roger....

2013/10/23 Stephen Lin <sw...@post.harvard.edu>

> 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
>>
>> 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
>> known as paraconsistent logics.
>>
>> Graham Priest defines dialetheism as the view that there are true
>> Priest's in advocating constructive (methodological) deflationism regarding
>> the truth predicate.
>>
>> 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
>>
>>
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>
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