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Mathematical Object

Absolute Infinite

Logic, Foundations and Set Theory

The Absolute Infinite is a concept introduced by the mathematician Georg Cantor between the 1870s and 1890s to describe a kind of infinity beyond ordinary mathematical comprehension, which Cantor associated with the divine, holding that it could be sensed but never fully grasped or measured. Cantor distinguished it from the transfinite, the more modest infinite cardinal and ordinal numbers that set theory can work with directly, reserving the Absolute Infinite for an ultimate infinity that cannot itself be treated as a completed mathematical object. The distinction became important once paradoxes appeared from treating collections such as all ordinal numbers or all sets as ordinary sets; rather than reading these as genuine contradictions, Cantor took them as signs that ordinary language and mathematics cannot fully capture the Absolute Infinite, and his thinking here fed directly into the modern distinction between sets and proper classes. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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Source Absolute Infinite (Wikipedia)
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Absolute Infinite (Wikipedia)
Attributed To: Georg Cantor, Lead paragraph
Quote, Attributed To: Georg Cantor, Lead paragraph
proposed by mathematician Georg Cantor
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