1. N O 2. N P / N (O P)

Chapter 7, Problem 1

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QUESTION:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. \(N \supset O\)

2. \(N \supset P \quad \quad / N \supset(O \bullet P)\)

Questions & Answers

QUESTION:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. \(N \supset O\)

2. \(N \supset P \quad \quad / N \supset(O \bullet P)\)

ANSWER:

Step 1 of 4

Redraw the given symbolized arguments:

1. \(N \supset O\)

2. \(N \supset P\)                                          

Write the conclusion:

\(N \supset(O \cdot P)\)

The objective is to derive the conclusion using conditional proofs and the eighteen rules of interference.

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