color blindness? not sure what the connection is. On Wednesday, October 23, 2013 4:25:48 PM UTC-4, Stephen Lin wrote: > > Gien all of that, can you explain red/green vision? Then what happens to > yelow?????? > > (Did hear someone way "loops"?) > > > On Wed, Oct 23, 2013 at 11:07 AM, Craig Weinberg > <whats...@gmail.com<javascript:> > > 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 >>> negation). >>> >>> 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 >> instead? >> >> Craig >> >> >>> Bruno >>> >>> >>> http://iridia.ulb.ac.be/~**marchal/ <http://iridia.ulb.ac.be/~marchal/> >>> >>> >>> >>> -- >> 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-li...@googlegroups.com <javascript:>. >> To post to this group, send email to everyth...@googlegroups.com<javascript:> >> . >> Visit this group at http://groups.google.com/group/everything-list. >> For more options, visit https://groups.google.com/groups/opt_out. >> > >

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