Conflicting Perceptions of Infinity

Paper Summary:

This three page undergraduate paper examines an infinity puzzle called 'Doing Business with the Devil'. The writer explains that resolving the puzzle requires accepting the interpretation that there may be many infinities. The writer discusses that if this is true, turning a light switch on and off at ever decreasing intervals and then determining whether the light would be on or off after two minutes would result in a conclusion that the light would be both on and off.

From the Paper:

"In discussing and analyzing the "Doing Business with the Devil" puzzle presented in the lecture, resolving the puzzle requires accepting the interpretation that there may be many infinities. If this is true, turning a light switch on and off at ever decreasing intervals and then determining whether the light would be on or off after two minutes would result in a conclusion that the light would be both on and off. From the point of view of Rucker, this is the only logical conclusion that can be made, "for the infinite regresses resulting from recursion" confirm that the infinite "is a real, rather than imagined, concept" (Rucker)."

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