Chapter 1 Quiz: Figure..............................................................................43 Chapter 2 Quiz: Mood...............................................................................45 Chapter 3 Quiz: Direct Reduction.............................................................47 Chapter 4 Quiz: Indirect Reduction...........................................................48 Chapter 5 Quiz: Translating Ordinary Sentences......................................49 Chapter 6 Quiz: Enthymemes....................................................................50 Chapter 7 Quiz: Conditional Syllogisms.....................................................51 Chapter 8 Quiz: Disjunctive Syllogisms......................................................53 Chapter 9 Quiz: Conjunctive Syllogisms....................................................55 Chapter 10 Quiz: Polysyllogisms and Aristotelian Sorites..........................57 Chapter 11 Quiz: Goclenian & Conditional Sorites...................................59 Chapter 12 Quiz: Epicheirema...................................................................61 Chapter 13 Part I Quiz: The Dilemma.......................................................63 Chapter 13 Part II Quiz: The Dilemma......................................................65 Chapter 14 Quiz: Oblique Syllogisms........................................................69 Final Exam..................................................................................................70 Answer Key: Chapter 1
Answer Key: Chapter 1
Exercises for Day 1
1. Figure in syllogisms. 2. The figure of a syllogism is the disposition or location of terms in the premises. 3. There are three (some would say four) figures. 4. Disposition means location. 5. sub-prae 6. The middle term is the subject of the major premise and the predicate of the minor premise. 7. Subject; predicate. 8. M is P S is M S is P 9. Make sure the syllogism is constructed as in question 7.
Exercises for Day 2
10. prae-prae 11. When the middle term is the predicate in both the major and minor premises. 12. predicate; predicate 13. P is M S is M S is P 14. Make sure the syllogism is constructed as in 12. 15. sub-sub 16. When the middle term is the subject in both the major and minor premises. 17. subject; subject 18. M is P M is S S is P 19. Make sure the syllogism is constructed as in question 17.
Exercises for Day 3
20. prae-sub 21. When the middle term is predicate of the major premise and subject of the minor premise. 22. predicate; subject. 23. P is M M is S S is P 24. Make sure it is constructed as in 22. 25. The First Figure. 26. The Indirect First or Fourth. 27. Sub-prae prima, bis prae secunda, tertia sub bis. 28. Sub-prae first, prae twice second, sub twice third.
Exercises for Day 4
29. S: Allen M=prae P: liberal M=prae M: conservative Second Figure
S: President Clinton M=sub P: big spender M=prae M: Democrat First Figure
S: brilliant things M=prae P: men M=sub M: physicists Fourth Figure
Answer Key: Traditional Logic, Book II 5
Answer Key: Chapter 2
S: that man M=sub
P: choosers M=prae M: beggars First Figure
S: mortals M=sub P: gods M=sub M: men Third figure
30. Letter designation Form (e.g. “All S is P”) Subject-Term Predicate-Term A All S is P distributed undistributed I Some S is P undistributed undistributed E No S is P distributed distributed O Some S is not P undistributed distributed 31. First, First (although it would at first appear to be Fourth, since the syllogism is not in proper logical form), First, Third. 32. Make sure the middle term is in the appropriate location in each premise. 33. T; F (it is the Fourth Figure that is really just a form of the First); T; F (it is the middle, not the major term that is the subject in the major premise and the predicate in the minor premise); F (it is the disposition of terms in the premises, not the conclusion); T.
Answer Key: Chapter 2
Exercises for Day 1
1. Mood in syllogisms. 2. subject; predicate. 3. Figure is the disposition of terms in the premises. 4. Mood is the disposition of premises according to quantity and quality. 5. Four 6. Sixty-four (16 for each figure) 7. That the premises are both A statements. 8. That the major premise is an E statement and the minor premise is an A statement. 9. AA 10. EA 11. AA, AE, AI, AO; EA EE, EI, EO; IA, IE, II, IO; OA, OE, OI, OO
Exercise for Day 2
12. predicate; predicate 13. Yes 14. 64 15. EE or OO 16. 19 17. BARBARA, CELARENT, DARII, FERIOque prioris; CESARE, CAMESTRES, FESTINO, BAROCO secundae; Tertia; DARAPTI, DISAMIS, DATISI, FELAPTON, BOCARDO, FERISON habet; quarta insuper addit; BRAMANTIP, CAMENES, DIMARIS, FESAPO, FRESISON. 18. BARBARA, CELARENT, DARII, FERIO (note that it is not FERIOque, but just FERIO, since que is a Latin form of the word and) 19. CESARE, CAMESTRES, FESTINO, BAROCO 20. DARAPTI, DISAMIS, DATISI, FELAPTON, BOCARDO, FERISON 21. BRAMANTIP, CAMENES, DIMARIS, FESAPO, FRESISON 22. The mood of the syllogism by indicating what kind of statement each premise is.
Answer Key Traditional Logic II Chapter 1 Quiz Name_______________________________________________________Date__________________________Score__________
Terminology:
Figure: the disposition or location of the terms in the argument (the middle term especially)
Identify the Figure:
1. All men are rational 7. All roses are flowers
Steve is a man No flowers are trees Therefore, Steve is rational No trees are roses
1 2 3 4 1 2 3 4
2. Some plants are lovely 8. No acts of volition are free
All plants are living All decisions are acts of volition Some living things are lovely No decisions are free
1 2 3 4 1 2 3 4
3. No hobbits are tall 9. All plants are living
Frodo is a hobbit No rocks are living Frodo is not tall No rocks are plants
1 2 3 4 1 2 3 4
4. All mortals are things that die 10. All aliens are foreigners No angels are things that die All aliens are different No angels are mortals Some different things are foreigners
1 2 3 4 1 2 3 4
5. No hares are tortoises 11. No ring-bearer is immune to evil
Some fast things are hares All things immune to evil are pure Some fast things are not tortoises Some pure things are not ring-bearers
1 2 3 4 1 2 3 4
6. No bears are friendly 12. God is merciful
All friendly things are nice No vindictive person is merciful Some nice things are not bears No vindictive person is God
1 2 3 4 1 2 3 4
What are the four figures that a categorical syllogism can be in? (Use the Latin phrases.)
1. sub-prae 2. prae-prae 3. sub-sub 4. prae-sub
Chapter 1 Quiz page 1 of 2 43
True/False Questions:
1. T F The location of the subject term in a syllogism determines the figure.
2. T F The Fourth Figure is also called the Galenic Figure.
3. T F The major premise is normally the first premise in a categorical syllogism.
Rules for Determining Validity (Traditional Logic I Review, Chapters 11, 12, and 13):
Terminological Rules 1. There must be three and only three terms. 2. The middle term must not occur in the conclusion.
Quantitative Rules 1. If the term is distributed in the conclusion, it must also be distributed in the premises. 2. The middle term has to be distributed at least once.
Qualitative Rules 1. No conclusion can follow from two negative premises. 2. If two premises are affirmative, then the conclusion must also be affirmative. 3. If either premise is negative, then the conclusion must be negative.
(Oklahoma Series in Classical Culture) Paul Allen Miller, Charles Platter - Plato's Apology of Socrates - A Commentary (2010, University of Oklahoma Press)
(Oklahoma Series in Classical Culture) Paul Allen Miller, Charles Platter - Plato's Apology of Socrates - A Commentary (2010, University of Oklahoma Press)
