  Such cases arise only when we are beyond the realm to which ordinary logic applies, when “the sphere of thought has ceased.” On the other hand, more use is made of the negative tetralemma, in which all four of the statements in (9) can or must be rejected, and thus one cannot assert either Φ, ¬Φ, both Φ and ¬Φ, or neither Φ nor ¬Φ. Is this tantamount, as it appears, to the renunciation of LEM and LNC, the countenancing of both gaps and gluts, and thus—in Aristotle's view—the overthrow of all bounds of rational argument?