Nor is it a valid objection to allege that perhaps this idea of a triangle came into my mind by the medium of the senses, through my having seen bodies of a triangular figure; for I am able to form in thought an innumerable variety of figures with regard to which it can not be supposed that they were ever objects of sense, and I can nevertheless demonstrate diverse properties of their nature no less than of the triangle, all of which are assuredly true since I clearly conceive them: and they are therefore something, and not mere negations; for it is highly evident that all that is true is something (truth being identical with existence); and I have already fully shown the truth of the principle, that whatever is clearly and distinctly known is true. And altho this had not been demonstrated, yet the nature of my mind is such as to compel me to assent to what I clearly conceive while I so conceive it; and I recollect that even when I still strongly adhered to the objects of sense, I reckoned among the number of the most certain truths those I clearly conceived relating to figures, numbers, and other matters that pertain to arithmetic and geometry, and in general to the pure mathematics. But now if because I can draw from my thought the idea of an object it follows that all I clearly and distinctly apprehend to pertain to this object does in truth belong to it, may I not from this derive an argument for the existence of God? It is certain that I no less find the idea of a God in my consciousness, that is, the idea of a being supremely perfect, than that of any figure or number whatever: and I know with not less clearness and distinctness that an (actual and eternal) existence pertains to his nature than that all which is demonstrable of any figure or number really belongs to the nature of that figure or number; and, therefore, altho all the conclusions of the preceding "Meditations" were false, the existence of God would pass with me for a truth at least as certain as I ever judged any truth of mathematics to be, altho indeed such a doctrine may at first sight appear to contain more sophistry than truth. For, as I have been accustomed in every other matter to distinguish between existence and essence, I easily believe that the existence can be separated from the essence of God, and that thus God may be conceived as not actually existing. But, nevertheless, when I think of it more attentively, it appears that the existence can no more be separated from the essence of God than the idea of a mountain from that of a valley, or the equality of its three angles to two right angles, from the essence of a (rectilineal) triangle; so that it is not less impossible to conceive a God, that is, a being supremely perfect, to whom existence is wanting, or who is devoid of a certain perfection, than to conceive a mountain without a valley.