Consistency is nice to have as a guarantee, but usually you don't need something so strong. A lot of weird things in math just collapse if the underlying object is finite.
Graham Priest gets into this a lot.
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The logic of paradox, or https://philarchive.org/archive/POSBTO-2
Consistency is nice to have as a guarantee, but usually you don't need something so strong. A lot of weird things in math just collapse if the underlying object is finite.
Graham Priest gets into this a lot.