  There is also evidence that claims of type (3) involve parameterization. For instance, the claim about the arhat would be that there is some respect in which they can be said to exist after death, and some other respect in which they can be said to no longer exist after death. Entertaining such a proposition does not require that one believe there might be true contradictions. And while claims of type (4) would seem to be logically equivalent to those of type (3) (regardless of whether or not they involve parameterization), the tradition treated this type as asserting that the subject is beyond all conceptualization. To reject the type (4) claim about the arhat is to close off one natural response to the rejections of the first three claims: that the status of the arhat after death transcends rational understanding. That the Buddha rejected all four possibilities concerning this and related questions is not evidence that he employed a deviant logic.