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# Introduction to Misc Topic- Fallacious Reasoning: Lesson 6

By Kugel

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

Example:

Both P and either L or F

(P • (L V F))

You aren’t both not scholarly and frivolous

If C then F, or P

Answer: ((C ɔ F) V P)

If not W then P

You’re dull, and cowardly or faithful

Answer: (D • (C V F))

Either both S and N or C

Answer: ((S • N) V C)

Either not R or not G

You’re both smart and either candid or beautiful

Answer: (S • (C V B))

Not if not S then G

If you’re clean, then you’re lonely and humorous

Answer: (C ɔ (L • H))

It’s false that if you’re cruel then you’re logical

If you’re mean then you’re nervous, and you’re persistent

Answer: ((M ɔ N) • P)

Not either R or D

Either not R or B

Not either not W or T

You aren’t both generous and prosperous

You’re strong and realistic, or else powerful

Answer: ((S • R) V P)

Both not R and not L

You’re both not faithful and bitter

If you’re dull and filthy, then you’re greedy

Answer: ((D • F) ɔ G)

You’re poor, and confident or beautiful

Answer: (P • (C V B))

You aren’t both not selfish and loveable

If W then C, or H

Answer: ((W ɔ C) V H)

Both S and either N or P

Answer: (S • (N V P))

If you’re clean, then you’re demented or bashful

Answer: (C ɔ (D V B))

It is false that if you aren’t dull then you’re boring

Not either P or T