4. For a particular statement P→ Q we know that if P = true and Q = true the statement is true. When P = true and Q = false the statement is false. Anytime P = false we know that the statement is inevitably true. How can we best describe these last two "T" truth values in our truth table for P→ Q? (a) The statement is true when P = false because Q = true so the single truth value makes the whole statement true. (b) The statement is true when P = false because Q = false so the single truth value makes the whole statement true. (c) The statement is true when P = false because for whatever value of Q, the statement cannot be proved or unproved. Therefore it is true by default. (d) None of the above
4. For a particular statement P→ Q we know that if P = true and Q = true the statement is true. When P = true and Q = false the statement is false. Anytime P = false we know that the statement is inevitably true. How can we best describe these last two "T" truth values in our truth table for P→ Q? (a) The statement is true when P = false because Q = true so the single truth value makes the whole statement true. (b) The statement is true when P = false because Q = false so the single truth value makes the whole statement true. (c) The statement is true when P = false because for whatever value of Q, the statement cannot be proved or unproved. Therefore it is true by default. (d) None of the above
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. For a particular statement P→ Q we know that if P = true and Q = true
the statement is true. When P = true and Q = false the statement is
false. Anytime P= false we know that the statement is inevitably true.
How can we best describe these last two "T" truth valucs in our truth
table for P → Q?
(a) The statement is true when P = false because Q = true so the
single truth value makes the whole statement true.
SO
(b) The statement is true when P = false because Q = false so the
single truth value makes the whole statement true.
SO
(c) The statement is true when P = false because for whatever value of
Q, the statement cannot be proved or unproved. Therefore it is true
by default.
(d) None of the above
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