Averroes in his Long Commentary on the Posterior Analytics distinguishes the universal as a logical second intention from the universal as a scientific middle term grounding causalnecessity.
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causal necessity(Hume's account in EHU 7.2.28–29; 8.1.5)
The constant conjunction of similar objects together with a customary inference of the mind from one to the other; the feeling of necessary connection is a product of the imagination, not an objective force in the world.
grounding(Drawn from contemporary metaphysics; proposed as potentially applicable to understanding the foundations of legality.)
A metaphysical relation in which some entities or facts are more foundational than others, providing a hierarchical structure of the world.
middle term(Aristotle, Posterior Analytics II,2)
A term that mediates between the subject and predicate of a two-place judgment and serves as the cause explaining why the predicate belongs to the subject; its discovery constitutes scientific knowledge.
universal(Argument for the generality of Turing machines)
A computing system capable of simulating any other computing system of the same or lesser power; used here to describe Turing machines as the most general model of computation.