 Kant identifies the inadmissible condition as the implicit taking of matter as a thing-in-itself, which in turn leads to the mistake of taking the division of matter into parts to subsist independently of the act of dividing. In that case, the Thesis implies that the sequence of divisions is finite; the Antithesis, that it is infinite. These cannot both be true of the completed (or at least completable) sequence of divisions which would result from taking matter or substance as a  thing-in-itself.[25]  Now since the truth of both assertions has been shown to follow from that assumption, it must be false, that is, matter and extended substance are appearances only. And for appearances, Kant maintains, divisions into parts are not completable in experience, with the result that such divisions can be considered, in a startling phrase, “neither finite nor infinite”.  It follows that, for appearances, both Thesis and Antithesis are false.