We have said that the ideal intuition is not intuition of God, but of that which is God; we say now that the ideal intuition is not formally intuition of _ens_ or being, as erroneously supposed by some to be maintained by Gioberti and Dr. Brownson, but of that which is _ens_. The process of demonstrating that God is consists in identifying, by reflection and reasoning, the necessary ideas or ideal intuition with real, necessary, universal, eternal, and immutable being, and real and necessary being in which they are all identified with God. This process is demonstration, not intuition. When I say, in the syllogism, the conclusion follows necessarily from the premises, I have intuition of the necessary, else I could not say it; but I have not intuition of the fact that the necessary is being, far less that it is God. This is known only by reflection and reasoning, disengaging the ideal from the empirical. The idea must be real, or there could be no intuition of it, but if real, it must be being; if being, it must be real and necessary being; and real and necessary being is God. So of all the other necessary ideas. As the intuition is of both the ideal or necessary and the contingent in its principle, and in their real relation, it gives the principles of a complete demonstration of the being of God as creator, and of the universe as the effect of his creative act, and therefore of the complete refutation of pantheism. The vice of Dr. McCosh’s argument is that it proceeds on the denial of ideal intuition, and the assumption that being, God, is obtainable by generalization and abstraction from the individual things given in empirical intuition. It is not obtained by reflection from them, but from the ideal intuition, never separable from the empirical.