Ming, stop confusing my taste buds, we're trying to have a serious
Same with you, Lusi, Sherry, Mark, and Schonmei
On Wed, Oct 23, 2013 at 1:27 PM, Stephen Lin <sw...@post.harvard.edu> wrote:
> Ming? Was that you???
> On Wed, Oct 23, 2013 at 11:07 AM, Craig Weinberg <whatsons...@gmail.com>wrote:
>> On Wednesday, October 23, 2013 12:34:05 PM UTC-4, Bruno Marchal wrote:
>>> On 23 Oct 2013, at 17:39, Craig Weinberg wrote:
>>> > http://en.wikipedia.org/wiki/**Dialetheism<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.
>>> No problem with that. Like Everett restore 3p-determinacy, comp
>>> restore also non-dialetheism, metaphysically, but does not (and
>>> cannot) disallow it it in some machine's mind.
>>> G* says it; D(Bp & B~p), or <>(p & ~p). read: it is consistent
>>> that p is believed and that ~p is believed, by the Löbian machine.
>>> The machine cannot know that, note.
>>> Well, don't take this too much seriously. My problem is that you need
>>> to do the math to evaluate how much seriously you can take this remark.
>>> Note that in machines' theology, some theorem cannot be proved without
>>> the reduction to contradiction, so that it misses them. (Unlike
>>> intuitionism which can still get them by the use of the double
>>> Classical logic is the simplest logic to (re) discover the many non
>>> classical logics of the realities/dreams.
>> "My problem is that you need
>> to do the math to evaluate how much seriously you can take this remark."
>> Under comp, why couldn't I just imagine tasting the flavor of the math
>>> http://iridia.ulb.ac.be/~**marchal/ <http://iridia.ulb.ac.be/~marchal/>
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