Avoiding Fallacious Reasoning: Lesson 6

The following exercises were taken from LogicCola, which is software written by a logic professor, Dr. Harry Gensler. These are considered very easy, and they should be mastered before moving on in the next lesson.

Some basic rules in a clause:

If negation comes first in the clause, then put the tilde outside of the parenthesis. The tilde is the main operator of the clause

If either comes first, then the wedge is the main operator of the clause

If both comes first, then the conjunction is the main operator


Both P and either L or F

(P • (L V F))

?You aren’t both not scholarly and frivolous|~(~S • F)

?If C then F, or P|((C ɔ F) V P)

?If not W then P|(~W ɔ P)

?You’re dull, and cowardly or faithful|(D • (C V F))

?Either both S and N or C|((S • N) V C)

?Either not R or not G|(~R V ~G)

?You’re both smart and either candid or beautiful|(S • (C V B))

?Not if not S then G|~(~S ɔ G)

?If you’re clean, then you’re lonely and humorous|(C ɔ (L • H))

?It’s false that if you’re cruel then you’re logical|~(C ɔ L)

?If you’re mean then you’re nervous, and you’re persistent|((M ɔ N) • P)

?Not either R or D|~(R V D)

?Either not R or B|(~R V B)

?Not either not W or T|~(~W V T)

?You aren’t both generous and prosperous|~(G • P)

?You’re strong and realistic, or else powerful|((S • R) V P)

?Both not R and not L|(~R • ~L)

?You’re both not faithful and bitter|(~F • B)

?If you’re dull and filthy, then you’re greedy|((D • F) ɔ G)

?You’re poor, and confident or beautiful|(P • (C V B))

?You aren’t both not selfish and loveable|~(~S • L)

?If W then C, or H|((W ɔ C) V H)

?Both S and either N or P|(S • (N V P))

?If you’re clean, then you’re demented or bashful|(C ɔ (D V B))

?It is false that if you aren’t dull then you’re boring|~(~D ɔ B)

?Not either P or T|~(P V T)

?Either both R and C or F|((R • C) V F)

?You’re either not rough or else gentle|(~R V G)

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