Absolute infinity: Difference between revisions

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Absolute infinity was a concept originally defined by Georg Cantor, the founder of set theory. He denoted it with the Hebrew later for Tav and defined it as a number greater than everything else, so large that any property it could have would already be satisfied by something smaller. This is clearly not well-defined, since "being absolute infinity" is a property that it and only it has - this is similar to Berry's paradox. However, this idea paved the way for [[Reflection principle|reflection principles]], with totally reflecting cardinals probably being the closest first-order object similar to his description, and he explored it more from a philosophical standpoint. In particular, Cantor associated it mathematically with the class of cardinals (not a set by a problem similar to the [[Burali–Forti paradox]]), so large it almost "transcended" itself, and associated it metaphysically with God.
 
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