  One problem for this approach is that while trivially false sentences such as \(2 + 2 = 5\) are conversationally inappropriate at some level, they don’t seem to suffer from the kind of severe infelicity that we see with category mistakes. (Indeed, an indication of this difference is that, unlike the case of category mistakes, there is no temptation to classify ‘\(2 + 2 = 5\)’ as meaningless or even truth-valueless.) Another difficulty for the account as we sketched it is that not all category mistakes are trivially false. Consider the following: