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Bulgakov. Bad infinity Category: Nature Florensky. Actual infinity

Bad infinity
In the works of Fr. Pavel Florensky

7 And when the thousand years are expired, Satan shall be loosed out of his prison,
8 And shall go out to deceive the nations which are in the four quarters of the earth, Gog and Magog, to gather them together to battle: the number of whom is as the sand of the sea.

Potential infinity

Potential infinity is only an auxiliary notion.

Let us assume that we have a variable and that it varies not just in any way but in a determinate way — precisely in such a way that it becomes greater or smaller than any constant finite quantum of the same kind. In every state this variable is finite; but in our understanding the combination of these states differs from the combination of any arbitrary chosen states. In this sense we say that our quantum is a potential infinity, since it can become greater than any other quantum. Thus potential infinity does not represent any quantum taken in itself, but only a special way of considering a quantum, namely, in connection with the character of its special variation. Potential infinity, according to Cantor, is not an idea but only an auxiliary notion; it is ens rationis according to Stökl's apt expression. In short, potential infinity is the same thing that the aicients called apeiron, the scholastics called syncategorematice infinitum or indefinitum, and the modern philosophers call bad or, more precisely, simple infinity, schlechte Unendlichkeit.

Fr. Pavel Florensky
The Pillar and Ground of the Truth
XV. Certain Concepts from the Theory of Infinity

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