Accepting the following premises:
If it does not rain, or it is not foggy, then the...
Accepting the following premises:
If it does not rain, or it is not foggy, then the sailing race
will be held and the lifesaving demonstration will go on.
If the sailing race is held, then the trophy will be
awarded.
The trophy was not awarded.
Show that it rained.
If you are able to explain some of the thought process behind
the problem, that would be amazing. Thanks
Build valid argument:
Premises: (¬p ∨ q) → r,
r → (s ∨ t),
...
Build valid argument:
Premises: (¬p ∨ q) → r,
r → (s ∨ t),
¬s ∧ ¬u,
¬u → ¬t.
Conclusion: p.
1)
a.draw the truth table for s: (p and r) or (q and not r)
b....
1)
a.draw the truth table for s: (p and r) or (q and not r)
b. assuming s and q are true but p is false, deduce the value of
r. explain
c. draw the truth table for s: r ---> not (p and q)
d. assuming q is true, deduce the values of s, p, and r.
Explain
2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C...
2. Let A = {p, q, r, s}, B = {k, l, m, n}, and C = {u, v, w},
Define f : A→B by f(p) = m, f(q) = k, f(r) = l, and f(s) = n, and
define g : B→C by g(k) = v, g(l) = w, g(m) = u, and g(n) = w. Also
define h : A→C by h = g ◦ f. (a) Write out the values of h. (b) Why
is it that...
U = {q, r, s, t, u, v, w, x, y, z}
A = {q,...
U = {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C = {v, w, x, y, z}.
List the elements in A - B.
Give direct and indirect proofs of:
a. p → (q → r), ¬s ∨ p, q...
Give direct and indirect proofs of:
a. p → (q → r), ¬s ∨ p, q ⇒ s → r.
b. p → q, q → r, ¬(p ∧ r), p ∨ r ⇒ r