The math controversy that, they say, led to a mental breakdown

Cantor_4In an essay called “The Root of Infinity: It’s Surreal!“, the ThatsMath blog writes about a dark side to the power of numbers. The Cantor mentioned here is George Cantor [pictured here], who pretty much created the branch of mathematics now called number theory:


… But the extended system was hugely controversial, and for good reasons. For example, Cantor found that {1 + \omega \ne \omega +1}. His system was not commutative under addition. In fact, {1+\omega = \omega}. We might be tempted to subtract {\omega} from each side, but this would yield the nonsensical result {1 =0}. The controversy was a factor in Cantor’s mental breakdown and ultimate suicide.


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Published on October 25, 2013 21:02
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