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))

**1 translation**: You aren’t both not scholarly and frivolous

**2 translation**: If C then F, or P

**3 translation**: If not W then P

**4 translation**: You’re dull, and cowardly or faithful

**5 translation**: Either both S and N or C

**6 translation**: Either not R or not G

**7 translation**: You’re both smart and either candid or beautiful

**8 translation**: Not if not S then G

**9 translation**: If you’re clean, then you’re lonely and humorous

**10 translation**: It’s false that if you’re cruel then you’re logical

**11 translation**: If you’re mean then you’re nervous, and you’re persistent

**12 translation**: Not either R or D

**13 translation**: Either not R or B

**14 translation**: Not either not W or T

**15 translation**: You aren’t both generous and prosperous

**16 translation**: You’re strong and realistic, or else powerful

**17 translation**: Both not R and not L

**18 translation**: You’re both not faithful and bitter

**19 translation**: If you’re dull and filthy, then you’re greedy

**20 translation**: You’re poor, and confident or beautiful

**21 translation**: You aren’t both not selfish and loveable

**22 translation**: If W then C, or H

**23 translation**: Both S and either N or P

**24 translation**: If you’re clean, then you’re demented or bashful

**25 translation**: It is false that if you aren’t dull then you’re boring

**26 translation**: Not either P or T

**27 translation**: Either both R and C or F

**28 translation**: You’re either not rough or else gentle