When Logic Fails

There are inherent limits to logic that can’t be resolved, and they bedevil our minds too.

"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.