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Set theory discussion thread

@Cat275 where would you scale this?

帝告妙慧曰:“凡有所相,皆无定相,生灭断续,刹那而矣,以真妙观,正真法眼,观见诸天,无所隔阂,大千世界,若一刹尘,无量道境,如一芥子,百亿劫运,如一弹指,地水火风,诸相妄合,色声味尘,天地不常,真妄相倾,高下相成,若水中月,如梦中幻,证道通玄,如离梦幻,恍觉正真,如目观月,始得妙觉,一切诸法,三洞之教,不离此谛,作是解者,得悟无上。”
 
Ultimate V=L ?? what is that ?
It's a way to force the conjecture to have an L like structure contain the sets in V while not striving far away from it.

As in a lot diffetent from V=/=L since it can have V=L where there exists atleast 0# level strength consistency and even stronger ones.

Can only be described by inner model theory.
@Cat275 where would you scale this?

帝告妙慧曰:“凡有所相,皆无定相,生灭断续,刹那而矣,以真妙观,正真法眼,观见诸天,无所隔阂,大千世界,若一刹尘,无量道境,如一芥子,百亿劫运,如一弹指,地水火风,诸相妄合,色声味尘,天地不常,真妄相倾,高下相成,若水中月,如梦中幻,证道通玄,如离梦幻,恍觉正真,如目观月,始得妙觉,一切诸法,三洞之教,不离此谛,作是解者,得悟无上。”
Can you translate it?
 
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Also, @Cat275 what is Gödel's theorem?
As in his incompleteness or completeness theorem?

The incompleteness (talking about type 2) just means no matter what you do mathematics will find a way to be incomplete so just think of it as a portal to create new possibilities for mathematics.

That's my own anology atleast the type 2 just means you can't have a system demonstrate it's own consistency so ZFC can't imply con(ZFC) is just an example I'd give.
 
It's a way to force the conjecture to have an L like structure contain the sets in V while not striving far away from it.

As in a lot diffetent from V=/=L since it can have V=L where there exists atleast 0# level strength consistency and even stronger ones.

Can only be described by inner model theory.

Can you translate it?
Oh sorry, i didn't see that.
Here it is:

"School of Philosophy, Fudan University; [2] Department of Mathematics, National University of Singapore

Publication: "Research in Logic"

Year Volume Issue: Volume 10, Issue 4, 2017

Abstract: Abstract: Assuming V = ultimate L, the continuum hypothesis is true, and all independence problems about set theory can be reduced to axioms about greater infinity, and it also provides a set theory with a Coase force-breaking Axiomatic foundations of immunity. In this sense it would be a realization of Gödel's program. Furthermore, if y:ultimate L is true, then there exists a unique set-theoretic model, which in a sense is the real set universe. This fact itself shows that the collective universe is a definite objective reality, which can be regarded as evidence in support of Platonism.

Page number: 87-98 pages

Subject terms: Platonism, Godel's Program, Ultimate L Continuum Hypothesis

Subject Classification: B81

Core collection: no"
 
 
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