don't NaN & infinities hide FP errors

[kartik]

Since Python floats are implemented using C doubles, assuming IEEE 754
compliance, certain operations should result in NaN or infinity. Don't
such special values hide errors? Would we want our variables to be in
such states? I feel it would be better if a floating point division by
zero (or other actions that produce NaNs or infinities) throws an
exception, just like an integer divide by zero.

Am I right?