Will, Intuition, Inference

Spinoza's one concrete example of what he calls 'intuition' involves the solution of 1:2 = 3:x at a glance, without either methodical calculation or discursive proof. Since that solution entails, in his own words, "inference", his notion of intuition, unlike that of others, is not simple. Still, it is unclear from his example which of the following is his concept of the relation between intuition and inference--that the former reveals the latter, or that it mimics it, in which case intuition is itself inferential. One advantage to the latter interpretation is that it better explains how someone can themselves execute an inference, which Spinoza's concept of personal intellectual processes as modes of God's active Thought seems to entail. Indeed, as his general definition of it articulates, intuition is the idea of the God-Mode relation itself. Hence, the inference that constitutes it is a process of modification, i. e. of Diversification. Thus, Spinozistic intuition entails Will, the principle of Diversification in personal experience.