(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. { 1 Memory (History) Human Learning { 2 Imagination (Poetry) (by Bacon) { 3 Reason (Philosophy) { or (the Sciences) { 1 Mathematics { 2 Astronomy Sciences { 3 Physics (by Comte) { 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. Definition: _A logical proposition is a judgment expressed in words._ Just as percept and concept notions are expressed by means of logical terms so judgment notions may be expressed by logical propositions. To illustrate: The terms _the squirrel_ and _cracking a nut_ express two notions, and when an agreement between them is asserted and the product is expressed in word form, then such an expression becomes the logical proposition, “The squirrel is cracking a nut.” The following being _expressed_ judgments are logical propositions: (1) All men are mortal. (2) Some men are wise. (3) No men are immortal. (4) Some men are not wise. (5) No sane person is a lover of vice. (6) Some good orators are not good statesmen. (7) Every man is fallible. (8) If it rains, I shall not go. (9) He is either sane or insane. =2. KINDS OF LOGICAL PROPOSITIONS.= There are three kinds of logical propositions; namely, categorical, hypothetical and disjunctive.