Absolute Infinite

The Absolute Infinite represents the limit of the transfinite numbers. Georg Cantor equated the Absolute Infinite with God. He held that the Absolute Infinite had various mathematical properties, including that every property of the Absolute Infinite is also held by some smaller object.

In Rudy Rucker's book Mind Tools[?], Cantor is quoted as saying:

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.

References:

• Rudy Rucker, Infinity and the Mind, Princeton University Press, 1995.

See also:

• Gödel's ontological proof
• Infinity
• Reflection principle[?]
• The Ultimate

External links:

• Theism and Mathematical Realism (http://faith.csc.twu.ca/~byl/TH.htm) by John Byl
• Hilbert's Paradox (http://www.phil.uni-erlangen.de/~p1phil/personen/peckhaus/texte/h_p_www.pdf) (note: in Adobe PDF format)