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what does exceeding number cardinals (aleph etc.) give?
Cat275
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That is virtually impossible to include.
(Since most large cardinals out there are undefined and even then if somehow all large cardinals out there become definitive etc etc it still wouldn't be included here because of kunen's inconsistency, Gödel's incompleteness theorem and such....)
Anyways it can probably give 1-A as a tier, Now in case you're asking, why not higher? Exceeding a concept of quantification isn't gonna help, you need to exceed a quantification of something instead.
(As for the reason of 1-A it's because of beth numbers or Real coordinate space, though maybe H1-A is also fine as a tier.)
(Since most large cardinals out there are undefined and even then if somehow all large cardinals out there become definitive etc etc it still wouldn't be included here because of kunen's inconsistency, Gödel's incompleteness theorem and such....)
Anyways it can probably give 1-A as a tier, Now in case you're asking, why not higher? Exceeding a concept of quantification isn't gonna help, you need to exceed a quantification of something instead.
(As for the reason of 1-A it's because of beth numbers or Real coordinate space, though maybe H1-A is also fine as a tier.)
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Aleph-Null = High 1-B
Aleph-1 = Low 1-A
Aleph-2 = Baseline 1-A
Aleph-Omega = 1-A+
İnaccesible Cardinal = Baseline High 1-A
Mahlo Cardinal = Baseline 0
Weakly Compact Cardinal=0+
Woodin Cardinal = 0^infinity
Berkeley Cardinal = 0^infinity
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According to this situation, does someone who surpasses mathematics get 0?(including physics)
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its true
Cat275
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Hyper-Inaccessible is honestly enough for tier 0, mainly because a hyper-inaccessible views inaccessible the same way it views alephs.
(Also it's better to put a S in the cardinals since they have more than one of them.....
I would also put another correction or atleast a opinion, I think weakly compact should be infinite layers to 0 as well mainly because even a hyper-mahlo views mahlo the same way it views inaccessible and the same way inaccessible views alephs.
And there's gonna be even more hyper-mahlo that is superior to the other yet below a weakly compact, like hyper-hyper-mahlo which views hyper-mahlo the same way it views mahlo.)
Though again you need a quantification of this things to reach the tiers not the concept of the number itself.
Cat275
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Physics doesn't really help as it's meant to abide from reallity.
Cat275
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Atleast a quantification of those numbers.
(With inaccessible to higher it can be anything honestly even wood or points but I'm more on going for something like dimensions the spatial ones.)
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What about things like the Icarus set, IO or Reinhardt Cardinals. Are they bigger than Berkeley?
Cat275
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Personally in cardinality I think this should be the order Reinhardt (atleast omega-huge) > I0? > Icarus set. (It's implication can imply I0 but it's the subset X)
I'm a bit unsure on the I0 and Icarus set.
Berkeley>Reinhardt though.
Berkeley cardinals are singular yet they are omega-huge as well so I'm thinking it's probably bigger? Every berkeley cardinals are trivially reinhardt so.
I'm a bit unsure on the I0 and Icarus set.
Berkeley>Reinhardt though.
Berkeley cardinals are singular yet they are omega-huge as well so I'm thinking it's probably bigger? Every berkeley cardinals are trivially reinhardt so.
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Is there anything bigger than Berkeley?
Cat275
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I mean berkeley cardinals are not the biggest, they are just very strong.
I find ultrahuge to be one of the biggest.
And limit of berkeley cardinals exists also woodin koellners extendible is also a big one that should be bigger than atleast the least berkeley.
So berkeley's are like very strong and very big? But not really the biggest.
I find ultrahuge to be one of the biggest.
And limit of berkeley cardinals exists also woodin koellners extendible is also a big one that should be bigger than atleast the least berkeley.
So berkeley's are like very strong and very big? But not really the biggest.
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Normally how would certain fiction use cardinals to explain the size of their cosmology?
Cat275
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Can you elaborate a little?
Saying something is infinite is already a common depiction don't you think?
Unless if you mean large cardinals or something along those lines which means you'd need to either batantly say their equation (or formulae) or say the axiom itself I don't think there is a simple breakdown there although I do have some ideas of wanking some fictional verses that have non math settings that can adhere to a reinhardt or things similar but some here does not follow vsbw standards so can't give you that idea as an example.
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Such as SCP and world of darkness.
Cat275
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What about them?
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how did they use cardinals in their cosmology.
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I mean really, you don't really just say there is a Berkeley cardinal amount of universes. That just sounds wrong and childish.Bro this is a verse question.
Ask it in the general discussion instead.
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I see you are working hard and you should take a tea break at WoD cosmology crt because we have problem about set theory and use of axiom of choice. (zfc)
Cat275
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I'll check a little later.
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Thanks you
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Why does the verse use transcend concept dimension plus support exceed infinite geometric patterns blah-blah. got tier 1A?
Isn't low 1A equal to first uncountable infinite in the tiering system the same as "unreachable" for transfinite/infinite numbers below them?
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Strictly speaking, aleph-0 is a subset of aleph1, which can be defined by any mapping. In this case ℵ0 is a subset of P(ℵ0) because P(ℵ0) can contain infinitely many ℵ0s, which would make you P(ℵ0).
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Bunu şu şekilde açıklayabilirim, eğer herhangi bir serideki ifadede aleph-0 kadar boyut varsa, bu o serideki tüm boyutları 2a yapar (temelde yani standart evrensel modelde her boyut 4d olarak karakterize edilirse) ), elbette bu minimum olarak gerçekleşir ve eğer bu boyutlar niteliksel olarak birbirini aşıyorsa bu, aleph-0 kadar boyut ifadesi ile h1b'ye kadar çıkar.
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Hayır, aslında hiper-erişilemez kardinal 0. seviye değil. Hiper-erişilemez kardinal, temel erişilemez kardinale göre hiper-uzatılmış bir sonsuzluğa sahiptir, bu yüzden aralarında sonsuz bir omega seviyesi olduğunu söyleyebilirim, tıpkı tıpkı güçsüz bir erişilmezi a seviyesi olarak alırız, hiper-erişilemez kardinalin, eğer erişilemez olana göre hiperölçekli bir sonsuzluk seviyesi varsa, bu erişilemez seviyede hala bir fark olduğu anlamına gelmez, sadece erişilemez bir kardinalin olduğu anlamına gelir, a ile gösterilen, erişilemeyen kardinal ile ilgili olarak k ile gösterilen (a<k'den beri) bir hiperseviyeye sahiptir. Aşırı erişilemez yalnızca sonsuz bir genişlemeye sahip olacaktır; bu, temel erişilemez ile hiper erişilemezin kardinalleri arasındaki farkın, iyi düzenin yalnızca sonsuz seviyesi olan omega olduğu anlamına gelir.
Georredannea15
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Aleph 1 is the superset of Aleph 0 and is in fact inaccessible with respect to it (unless you are talking about limit cardinals).
More precisely, when we make Aleph 0^Aleph 0, i.e. aleph 0 repeats aleph 0 times, we reach aleph 1. If the limit in question is cardinal... yes. It is not unreachable because this cardinal can reach a superset by repeating itself continuously.
Btw, about the question I saw above, "Is completely transcended maths and physics is tier 0?" It is not even close to tier 0, it is only taken as far as it is shown in the verse.
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Herhangi bir asal sayıyı aşmak diye bir şey yoktur, o asal sayının miktarına eşdeğer bir boyutsal ölçeği, maddesel olmayan bir şekilde, yani r>f veya niteliksel aşkınlık vb. aşmanız gerekir ve bu, spesifik olarak yapılmalıdır. belirtildi (bu daha fazla ayrıntıya girmeden başka bir açıdan da olabilir)
Yukarıda bahsettiğim şey maddi olmayan bir tutkuydu ve ayrıca herhangi bir büyük kardinal, örneğin erişilemeyen kardinaller 0 vermeyebilir.
