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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

Answer: ~(~S • F)
Not correct. Please try again.

If C then F, or P

Answer: ((C ɔ F) V P)
Not correct. Please try again.

If not W then P

Answer: (~W ɔ P)
Not correct. Please try again.

You’re dull, and cowardly or faithful

Answer: (D • (C V F))
Not correct. Please try again.

Either both S and N or C

Answer: ((S • N) V C)
Not correct. Please try again.

Either not R or not G

Answer: (~R V ~G)
Not correct. Please try again.

You’re both smart and either candid or beautiful

Answer: (S • (C V B))
Not correct. Please try again.

Not if not S then G

Answer: ~(~S ɔ G)
Not correct. Please try again.

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

Answer: (C ɔ (L • H))
Not correct. Please try again.

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

Answer: ~(C ɔ L)
Not correct. Please try again.

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

Answer: ((M ɔ N) • P)
Not correct. Please try again.

Not either R or D

Answer: ~(R V D)
Not correct. Please try again.

Either not R or B

Answer: (~R V B)
Not correct. Please try again.

Not either not W or T

Answer: ~(~W V T)
Not correct. Please try again.

You aren’t both generous and prosperous

Answer: ~(G • P)
Not correct. Please try again.

You’re strong and realistic, or else powerful

Answer: ((S • R) V P)
Not correct. Please try again.

Both not R and not L

Answer: (~R • ~L)
Not correct. Please try again.

You’re both not faithful and bitter

Answer: (~F • B)
Not correct. Please try again.

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

Answer: ((D • F) ɔ G)
Not correct. Please try again.

You’re poor, and confident or beautiful

Answer: (P • (C V B))
Not correct. Please try again.

You aren’t both not selfish and loveable

Answer: ~(~S • L)
Not correct. Please try again.

If W then C, or H

Answer: ((W ɔ C) V H)
Not correct. Please try again.

Both S and either N or P

Answer: (S • (N V P))
Not correct. Please try again.

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

Answer: (C ɔ (D V B))
Not correct. Please try again.

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

Answer: ~(~D ɔ B)
Not correct. Please try again.

Not either P or T

Answer: ~(P V T)
Not correct. Please try again.

Either both R and C or F

Answer: ((R • C) V F)
Not correct. Please try again.

You’re either not rough or else gentle

Answer: (~R V G)
Not correct. Please try again.