a. Logic. [f. L. assertōri-us (f. assertor: see prec.) + -AL 1.] Of the nature of assertion, affirming that a thing is; as distinguished from problematical (that it may be) and necessary or apodictical (that it must be). Hence Assertorially adv., in assertorial manner, in affirmation.

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1863.  trans. Saisset’s Ess. Relig. Philos., I. 281. These twelve kinds of judgments … problematical, assertorial, and apodeictic—represent, in his eyes, twelve logical functions of the understanding.

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1877.  E. Caird, Philos. Kant, II. xviii. 637. The practical reason will thus give assertorial value to the problematical results of theory. Ibid., II. xiii. 499. No perception … of objects beyond the sphere of sense, on which the understanding might be used assertorially.

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