a. Use a diagram to show that the following argument can

Chapter 3, Problem 20E

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QUESTION:

Problem 20E

a. Use a diagram to show that the following argument can have true premises and a false conclusion.

All dogs are carnivorous.

Aaron is not a dog.

∴ Aaron is not carnivorous.

b. What can you conclude about the validity or invalidity of the following argument form? Explain how the result from part (a) leads to this conclusion.

x, if P(x) then Q(x).

~P(a) for a particular a.

~Q(a).

Questions & Answers

QUESTION:

Problem 20E

a. Use a diagram to show that the following argument can have true premises and a false conclusion.

All dogs are carnivorous.

Aaron is not a dog.

∴ Aaron is not carnivorous.

b. What can you conclude about the validity or invalidity of the following argument form? Explain how the result from part (a) leads to this conclusion.

x, if P(x) then Q(x).

~P(a) for a particular a.

~Q(a).

ANSWER:

Solution :

Step 1 :

  1. In this problem we have to draw the diagram to show that the following argument can have true premises and a false conclusion.

Diagram is

 

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