Consistent and Inconsistent Sets of SL Sentences

Multiple Choice: Click on the correct answer and the page will jump forward to the next problem.

1. If each member of a set of sentences is false on the first row of its table, then

a. that set is consistent. b. that set is inconsistent. c. that set might or might not be consistent.

2. One can tell that a set of sentences is consistent if

a.
on some row each member of the set is true. b.
some member of the set is true on all rows. c.
some member of the set is true on some row.

3. One can tell that a set is inconsistent if

a.
all members of that set are false on some row. b.
on some row all members of the set are true. c.
on no row are all members true.

4. A set that has one member which is logically false must
be inconsistent.

a.
true b.
false

5. A set that has one member which is logically true must
be consistent.

a.
true b.
false