(7) Define and illustrate metaphysical division and verbal division.
(8) Give a definition of an isosceles triangle which will make logical the division of triangles into scalene, isosceles and equilateral.
(9) “The evolution of all truth develops progressively through three stages.” “The first is the thesis; the second is the antithesis; the third is the synthesis.” Explain this in terms of trichotomy.
(10) Illustrate the difference between a complete division and an exhaustive division.
(11) Show in what ways, if any, the following divisions violate the rules of logical division.
| Human Learning (by Bacon) | 1 Memory (History) 2 Imagination (Poetry) 3 Reason (Philosophy) or (the Sciences) | |
| Sciences (by Comte) | 1 Mathematics 2 Astronomy 3 Physics 4 Chemistry 5 Biology 6 Sociology 7 Morals |
CHAPTER 8.
LOGICAL PROPOSITIONS
1. THE NATURE OF LOGICAL PROPOSITIONS.
Judging has been defined as the process of conjoining or disjoining notions. This may be put in another way: “Judging is the process of asserting or denying the agreement between two notions.” The product of the act of judging is a judgment and when judgments are put in word-form such expressions are called logical propositions.