Talk:Absolute infinite

message: I'm not at all happy with this page. I don't know a lot about transfinites but there are things here that worry me. Limit? Not in the normal sense. This needs expansion at least. 
You can't just give something a name and hope that it won't introduce inconsistency to do so. Often it does. Going to have a think about this. Andrewa 10:50 16 Jul 2003 (UTC)
This is a proper noun. I have moved the page back to "Absolute Infinite" (with "absolute infinite" redirecting here). -- The Anome 08:55, 18 Sep 2003 (UTC)
replies: text: Allow me to redo my question, what is the "absolute" at the top of the article? Jaberwocky6669 02:30, Mar 30, 2005 (UTC)
The sentence " Indeed, naive set theory might be said to be based on this notion. " in Burali-Forti is vague and seems incorrect to me.  For example, in  the treatment is fully consistent with ZFC. I suggest removing this sentence altogether as it does not add anything useful and confuses the inexpert reader. cerniagigante (talk) 16:34, 24 January 2017 (UTC)
thread_title: Untitled

message: Is this serious? Did Cantor actually believe that "that every property of the Absolute Infinite is also held by some smaller object"? I mean, he was clearly an incredibly smart guy, but on the face of it, that's an idiotic opinion.
For example, it implies that there is some smaller object that is also larger than all objects besides itself. -Rwv37 04:25, Jun 27, 2005 (UTC)
:: Isn't the universe such an object?  24.174.45.155 21:33, 16 July 2006 (UTC)
replies: text:  No.  The universe is an object that is larger than all objects besides itself.  But that property is *not* shared with some smaller object. -Rwv37 00:41, 22 July 2006 (UTC)
replies: text:  I am using this exchange as justifying this article as "unclear." Cantor's quote "that every property..." is almost certainly a reference to the Reflection Theorem of set theory--but I can't be sure without a citation. See Reflection principle for more information. Cobaltnova 22:14, 10 November 2007 (UTC)
thread_title:  Did he seriously think this? 

message: The notion of multiplicity Cantor describes here can't possibly be the same as on multiplicity
A multiplicity is called well-ordered if it fulfills the condition that every sub-multiplicity has a first element; such a multiplicity I call for short a sequence.  
24.174.45.155 21:33, 16 July 2006 (UTC)
replies: text: I think he means what we now call a cardinal number.  I just piped the wikilink which I hope is ok. 75.62.4.229 (talk) 04:37, 24 November 2007 (UTC)

text: Close. I am virtually certain he just means a set. Because the definition of a well-ordered set is one in which each subset has a least member. Hccrle (talk) 21:36, 29 August 2009 (UTC)

text: My edit there was reverted on the grounds that Wikipedia is not a dictionary and that I was just providing the common-language meaning, but that seems inaccurate. PJTraill (talk) 11:59, 6 November 2022 (UTC)
thread_title:  Sense of "multiplicity" 

message: The way that leads from Infinite to Absolute Infinite could lead also from Absolute Infinite to Absolute Absolute Infinite, from Absolute Absolute Infinite to Absolute Absolute Absolute Infinite and beyond.
So, where is the limit? 89.1.112.168 07:25, 13 September 2007 (UTC)
thread_title:  Absolute Absolute Infinite,  Absolute Absolute Absolute Infinite, etc. 

message: I think the corresponding idea in axiomatic set theory is the von Neumann universe also known as the cumulative hierarchy.  75.62.4.229 (talk) 04:39, 24 November 2007 (UTC)
thread_title:  von Neumann universe 

message: I shall call him XIBTAI - acronym of Xibtai Is Bigger Than Absolute Infinite!  —Preceding unsigned comment added by 89.0.54.122 (talk) 08:27, 11 September 2008 (UTC)
thread_title:  What is bigger than Absolute Infinite? 

message: So, what is larger than Nothing? 217.132.68.201 (talk) 11:18, 16 February 2010 (UTC)
thread_title:  Nothing is larger than The Absolute infinite 

message: Currently the article uses this translation:
The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number or order type.
Jané however has this translation in "The role of the absolute infinite in Cantor's conception of set":
The actual infinite can be divided according to three aspects: first, as it is realized in the supreme perfection, in the completely independent, extrawordly being, in God, where I call it absolute infinite or simply absolute; second as it is represented in the dependent world of things created; third as conceived in abstracto as a mathematical quantity, number or ordertype. (Cantor 1887-88, p. 378)
And from the original quote (https://www.uni-siegen.de/fb6/phima/lehre/phima10/quellentexte/handout-phima-teil4b.pdf) it seems to be:
The actual infinite was distinguished by three relations: first, as it is realized in the supreme perfection, in the completely independent, extrawordly existence, in Deo, where I call it absolute infinite or simply absolute; second to the extent that it is represented in the dependent, creatural world; third as it can be conceived in abstracto in thought as a mathematical magnitude, number or ordertype. In the latter two relations, where it obviously reveals itself as limited and capable for further proliferation and hence familiar to the finite, I call it Transfinitum and strongly contrast it with the absolute.
--Fixuture (talk) 23:45, 4 July 2015 (UTC)
replies: text: That is a major difference. The first two translations suggest that Cantor was naive; the last seems suggests that Cantor's thinking was quite modern and up-to-date (viz a premonition of 20th century transfinite work). 67.198.37.16 (talk) 04:27, 8 July 2016 (UTC)
replies: text: So I took your word for it and replaced that translation with the 3rd one. Thanks for your review. I included the original quote in German in the reference. --Fixuture (talk) 21:44, 18 July 2016 (UTC)
thread_title:  Variants of the quote 

message: it's called Absolutely Absolute Infinite.89.0.54.122 (talk)  — Preceding unsigned comment added by 178.90.121.55 (talk) 06:16, 21 August 2023 (UTC)
replies: text: @178.90.121.55 I don't know what you're talking about. do you have evidence? 2601:83:4280:A9E0:282E:701:B11:EFF4 (talk) 19:15, 21 August 2023 (UTC)
thread_title:  What's biggest number in world? 

message: 10absolute infinite  — Preceding unsigned comment added by 178.89.254.140 (talk) 12:12, 8 September 2023 (UTC)
replies: text: How 'bout ΩΩ? Guess like zero it's "undefined". P.I. Ellsworth , ed. put'er there 12:27, 13 May 2024 (UTC)
thread_title:  This is 10<sup>absolute infinite</sup> 

message: File:Australia in its region (Ashmore and Cartier Islands special).svg  — Preceding unsigned comment added by 95.56.95.231 (talk) 18:57, 10 September 2023 (UTC)
thread_title:  Svg 

message: :The following is a closed discussion of a requested move. Please do not modify it. Subsequent comments should be made in a new section on the talk page. Editors desiring to contest the closing decision should consider a move review after discussing it on the closer's talk page. No further edits should be made to this discussion.
The result of the move request was: moved. To alternative "lowercased infinite". (non-admin closure) Safari ScribeEdits! Talk! 10:05, 13 May 2024 (UTC)
replies: text: Absolute Infinite →  – according to Infinity. Also, the title of an article must be written in lower case with the initial letter of the remaining words, when they are not proper nouns. --Χιονάκι (talk) 22:16, 30 April 2024 (UTC)

text: Note: WikiProject Logic and WikiProject Philosophy have been notified of this discussion.  ASUKITE 14:58, 9 May 2024 (UTC)

text: Relisting comment: Relisting to gather more participation. Please note the alternative of Absolute infinite (lowercase i) proposed above  ASUKITE 14:58, 9 May 2024 (UTC)

text: Support alternative Absolute infinite - per Paine Ellsworth. Psychastes (talk) 17:41, 9 May 2024 (UTC)
thread_title:  Requested move 1 May 2024