Burgersdyk divides the logicians of his day into the Aristotelians, the Ramists and the Semi-Ramists, who endeavoured, like Goclenius of Marburg, to mediate between the contending parties.
Like the Arabian logicians, and some of the scholastics, who held that ideas existed in a threefold form - ante res, in rebus and post res - he laid down the principle that the archetypal ideas existed metaphysically in the ultimate unity or intelligence, physically in the world of things, and logically in signs, symbols or notions.
The list given by the schoolmen and generally adopted by modern logicians is based on the original fivefold classification given by Aristotle (Topics, a iv.
The love of unity has often made logicians attempt to resolve these three processes into one.
For this reason it has been elevated by some logicians above all other inferences, and for this very same reason attacked by others as no inference at all.