One particular premise forces a particular conclusion because of the fallacies of two negatives, two particulars, and illicit minor.
(5) Aristotle’s dictum simplified means, “What is true of the whole is true of the part.”
(6) The canons of the syllogism, three in number, are:
(1) “Two terms agreeing with one and the same third term agree with each other.”
(2) “Two terms of which one agrees and the other does not agree with one and the same third term do not agree with each other.”
(3) “Two terms both disagreeing with one and the same third term may or may not agree with each other.”
(7) The foregoing canons may be stated as mathematical axioms.
10. ILLUSTRATIVE EXERCISES.
(1a) Make use of the proper symbols and indicate the three terms of each of the attending syllogisms:
(1) All fixed stars twinkle,