Editing Absolute infinite (section)

{{Short description|Philosophical or theological concept}}
The '''absolute infinite''' (''symbol'': [[Ω]]), in context often called "'''absolute'''", is an extension of the idea of [[infinity]] proposed by [[mathematician]] [[Georg Cantor]]. Cantor linked the absolute infinite with [[God]],<ref>§3.2, {{Cite journal | author=Ignacio Jané | title=The role of the absolute infinite in Cantor's conception of set | journal=Erkenntnis | jstor=20012628 | volume=42 | issue=3 |date=May 1995 | pages=375–402 | doi=10.1007/BF01129011 | s2cid=122487235 | quote=Cantor (1) took the absolute to be a manifestation of God [...] When the absolute is first introduced in Grundlagen, it is linked to God: "the true infinite or absolute, which is in God, admits no kind of determination" (Cantor 1883b, p. 175) This is not an incidental remark, for Cantor is very explicit and insistent about the relation between the absolute and God.}}</ref><ref name="Cantor.1932">{{Cite book | url=https://resolver.sub.uni-goettingen.de/purl?PPN237853094 | author=Georg Cantor | editor=Ernst Zermelo | title=Gesammelte Abhandlungen mathematischen und philosophischen Inhalts | location=Berlin | publisher=Verlag von Julius Springer | year=1932 }} Cited as ''Cantor 1883b'' by Jané; with biography by Adolf Fraenkel; reprinted Hildesheim: Georg Olms, 1962, and Berlin: Springer-Verlag, 1980, {{ISBN|3-540-09849-6}}.</ref>{{rp|175}}<ref name="Cantor.1883b">{{Cite journal | url=https://resolver.sub.uni-goettingen.de/purl?PPN235181684_0021 | author=Georg Cantor | title=Ueber unendliche, lineare Punktmannichfaltigkeiten (5) | journal=Mathematische Annalen | volume=21 | number=4 | pages=545&ndash;591 | year=1883 }} Original article.</ref>{{rp|556}} and believed that it had various [[mathematical]] properties, including the [[reflection principle]]: every property of the absolute infinite is also held by some smaller object.<ref>''Infinity: New Research and Frontiers'' by Michael Heller and W. Hugh Woodin (2011), [https://books.google.com/books?id=PVNbIGS37wMC&pg=PA11 p. 11].</ref>{{clarify|reason=The 'defining' property, i.e. that of being 'bigger than any (other) conceivable or inconceivable quantity', cannot be held by any smaller object.|date=December 2021}}