# Int Logic Philosophy Assignment Help

### Question Description

Question# 1

Use this key to symbolize the following sentences:

A = Art attends class.

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