finite is not impossible, then no proof can be established that the world is finite in its entirety. Yet this is invalid by consensus.

Third: if He were infinite in every direction, no direction or spatial region could be devoid of His essence. It would then follow that the world intermingles with the parts of His essence, and that filth and impurities do so as well. No rational person would say this.

As for the second alternative—namely, that He is infinite in some directions but finite in all the others—it too is invalid, for two reasons. First, the demonstration we have given for the impossibility of an extension that is not