ones, will be wherever a triangle exists; so, when we have proved the necessary existence of a being, this being must exist everywhere. But there is a great difference between these two things: the one being the proof of a certain relation, upon supposition of such a being's existence with such particular properties; and, consequently, wherever this being and these properties exist, this relation must exist too. But from the proof of the necessary existence of a being, it is no evident consequence that it exists everywhere. My using the word demonstration, instead of proof, which leaves no room for doubt, was through negligence, for I never heard of strict demonstration of matter of fact.
In your answer to my second difficulty, you say; "Whatsoever is necessarily existing, there is need of its existence, in order to the supposal of the existence of any other thing." All the consequences you draw from this proposition, I see proved demonstrably; and consequently, that the two propositions I thought independent are closely connected. But how, or upon what account, is there need of the existence of whatever is necessarily existing, in order to the existence of any other thing? Is it as there is need of space and duration, in order to the existence of anything; or is it needful only as the cause of the existence of all other things? If the former be said, as your instance seems to intimate, I answer, Space and duration are very abstruse in their natures, and, I think, cannot properly be called things, but are considered rather as affections which belong, and in the order of our thoughts are antecedently necessary to the existence of all things. And I can no more conceive how a necessarily existing being can, on the same account or in the same manner as space and duration are, be needful in order to the existence of any other being, than I can conceive extension attributed to a thought: that idea no more belonging to a thing existing, than extension belongs to thought. But if the latter be said, that there is need of the existence of whatever is a necessary being, in order to the existence of any other thing, only as this necessary being
