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Communications of the ACM

ACM Opinion

­ltimate Logic: To Infinity and Beyond


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Levels of infinity

Many levels of infinity.

Emm.A / Marie Emmermann

The mysteries of infinity could lead us to a fantastic structure above and beyond mathematics as we know it.

From New Scientist
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Comments


Anonymous

in this artic it describes the levels of infinity that are layered apon and above the countable and continum infinity. It goes on to say how Godel believed we had to stack more levels which stretched infinitly high. I however believe that there is a maximum value these levels can reach, as the value "infinity plus one" cannot exist the highest level of infinity must be one level below this non-existent one. this still leaves an infinite number of levels between the countable and the non-existent infinity plus one, but it does place a cap on how high these levels can exist.


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