Subjective vs objective certainty
For teaching purposes, moreover, certainty can be divided into subjective and objective.
By subjective certainty I mean the certainty that a given assent actually has in someone's mind.
Objective certainty is the certainty owed of itself to a given assent: that is, the certainty that ought to be in the mind once the object is taken into account, and that the object, so to speak, claims from the mind by its own right.
Latin
II. Porro docendi causa certitudo distingui potest in subjectivam atque objectivam. Certitudinem subjectivam voco, quam assensus quislibet actu in mente alicujus obtinet. Objectiva vero certitudo dicitur, quae per se cuilibet assensui debetur: seu, quae ratione habita objecti, menti inesse debet: & quam objectum, ut sic dicatur, jure suo a mente exigit.