13. QUESTIONS FOR ORIGINAL THOUGHT AND INVESTIGATION.
(1) Analyze by mathematical partition the terms world, plant, book.
(2) Analyze by logical partition the terms granite, water, air.
(3) What rule is violated if the logical division is applied to the genus rather than the proximate genus?
(4) Divide logically the following terms: school, religion, book, vegetable, life.
(5) “Each new subdivision may adopt a new principle of division.” Illustrate this.
(6) Explain and illustrate the meaning of the terms super-ordinate, sub-ordinate and co-ordinate.
(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 |