Question Description
Question# 1
Use this key to symbolize the following sentences:
A = Art attends class.
G = Art graduates.
H = Art completes his homework.
L = Art does well in logic.
M = Art does well in math.
P = Art does well in philosophy.
T = Art pays tuition.
W = Art does well in all of his classes.
[22-1] Art does not do well in either logic or math.
[22-2] If Art completes his homework, he does well in both logic and math.
[22-3] If Art does not complete his homework, he does well in neither logic nor math.
[22-4] If Art does well in logic or math, he graduates.
[22-5] Art graduates only if he does well in logic or math.
[22-6] If Art neither pays tuition nor attends classes, he does not graduate.
[22-7] Art does well in logic if he completes his homework and attends class.
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Question# 2
Part 1:
Exercise 24:
[24-1] Explain what the three dichotomies of modality are; and Explain why there are discordance as well as harmony among them.
[24-2] Determine which of the following sentences are tautologies, which are contradictions, and which are contingent.
Show your results in Truth Tables.
1. ~(A & ~A)
2. A V (A –> B)
3. A <–> (B V ~B)
Part 2:
Exercise 25:
Determine whether the following sentences are logically equivalent or not by showing how Truth Table can be utilized for the analysis (arrow here is used for material conditional):
P –> Q ~Q –> ~P
Question# 1 Use this key to symbolize the following sentences: A = Art attends class. G = Art graduates. H = Art completes his homework. L = Art does well in logic. M = Art does well in math. P = Art does well in philosophy. T = Art pays tuition. W = Art does well in all of his classes. [22-1] Art does not do well in either logic or math. [22-2] If Art completes his homework, he does well in both logic and math. [22-3] If Art does not complete his homework, he does well in neither logic nor math. [22-4] If Art does well in logic or math, he graduates. [22-5] Art graduates only if he does well in logic or math. [22-6] If Art neither pays tuition nor attends classes, he does not graduate. [22-7] Art does well in logic if he completes his homework and attends class.============================================================================= Question# 2 Part 1: Exercise 24: [24-1] Explain what the three dichotomies of modality are; and Explain why there are discordance as well as harmony among them. [24-2] Determine which of the following sentences are tautologies, which are contradictions, and which are contingent. Show your results in Truth Tables. 1. ~(A & ~A) 2. A V (A –> B) 3. A <–> (B V ~B) Part 2: Exercise 25: Determine whether the following sentences are logically equivalent or not by showing how Truth Table can be utilized for the analysis (arrow here is used for material conditional): P –> Q ~Q –> ~P
