ABSTRACT

This paper contains the following points:—1. A criticism of Hamilton’s system, as further explained in his posthumous work. 2. An explanation of the character of the system of Aristotle and his followers, which I affirm to have been exemplar. 3. The misconception of the character of this system by recent writers. 4. Enforcement of the right of both correlatives in any pair, and of all in any set, to equal fulness of treatment. 5. Application to the distinction of affirmation and non-affirmation; syllogism of indecision. 6. Deduction of the eight onymatic forms from purely onymatic meaning; alleged demonstration of the necessity and completeness of these forms. Y. Restrictive propositions, their affirmation and denial introduced in every view except the purely onymatic view, whenever complete treatment of all correlatives is allowed. 8. Completion of the exemplar system. 9. Extended comparison of the onymatic relations. 10. System of primary and secondary relations by copula of identification. 11. The same when the copula is any one of the simple onymatic relations. 12. The full system at which the Hamiltonian quantification aims. 13. The logical basis of extension and comprehension. [14. Addition on a recent phase of the controversy. December 1862.]