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There are inherent limits to logic that can't be resolved, and they bedevil our minds too, says Noson Yanofsky in The Outer Limits of Reason

"THIS sentence is false." This sentence is also where the problems start. If true, it is false; if false, it is true. Extracting its true truth is like ironing out a Möbius strip.

Things in the world we experience, however, tend to be distinctly one thing or the other. Language is a messy, human construct, so perhaps we shouldn't worry too much if it doesn't always map one-to-one with reality. But in The Outer Limits of Reason, Noson Yanofsky, an information scientist at the City University of New York, shows that our problems with reasoning about the world go much deeper than that.

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