Exercise 1.1, Question 17
Given propositions:
$p$: Grizzly bears have been seen in the area
$q$: Hiking is safe on the trail
$r$: Berries are ripe along the trail
(c) If berries are ripe along the trail, hiking is safe if and only if grizzly bears have not been seen in the area.
(e) For hiking on the trail to be safe, it is necessary but not sufficient that berries not be ripe along the trail and grizzly bears not have been seen in the area.
Exercise 1.1, Question 19
Determine whether the following conditional statement is true or false.
(c) If $1 + 1 = 3$, then $2 + 2 = 5$.
\textbf{Exercise 1.1, Question 44}
\[
\bigwedge_{i=1}^{n-1} \; \bigwedge_{j=i+1}^{n} (\neg p_i \vee \neg p_j)
\]
is true if and only if at most one of
\[
p_1, p_2, \ldots, p_n
\]
is true.
Exercise 1.1, Question 52
Is the assertion
“This statement is false”
a proposition?
