Sample Solution from
Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Chapter 1.CR
Problem 1CR
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Textbook Problem

Classify each argument as deductive and inductive.

a. 1. Hitchcock’s “Psycho” is a suspenseful movie.
2. Hitchcock’s “The Birds” is a suspenseful movie.
Therefore, all Hitchcock’s movies are suspenseful.
b. 1. All Hitchcock movies are suspenseful.
2. “Psycho” is a Hitchcock movie.
Therefore, “Psycho” is a suspenseful.

Expert Solution
To determine

a)

To classify:

The nature of given argument.

Answer

Solution:

The given argument is inductive.

Explanation of Solution

Given:

The given argument is,

1. Hitchcock’s “Psycho” is a suspenseful movie.

2. Hitchcock’s “The Birds” is a suspenseful movie.

Therefore, all Hitchcock’s movies are suspenseful.

Definition:

Deductive reasoning involves the application of general statement for a specific case.

Inductive reasoning involves the going from a specific case to a general statement.

If the conclusion of an argument is guaranteed the argument is deductive and if the conclusion of an argument is not guaranteed the argument is inductive.

Approach:

In given argument the premises do not support the argument.

The premises support the argument that all Hitchcock’s movies are suspenseful but there is not 100% guarantee.

Therefore, the argument is inductive.

Conclusion:

The given argument is inductive.

Expert Solution
To determine

b)

To classify:

The nature of given argument.

Answer

Solution:

The given argument is deductive.

Explanation of Solution

Given:

The given argument is,

1. All Hitchcock movies are suspenseful.

2. “Psycho” is a Hitchcock movie.

Therefore, “Psycho” is a suspenseful.

Definition:

Deductive reasoning involves the application of general statement for a specific case.

Inductive reasoning involves the going from a specific case to a general statement.

If the conclusion of an argument is guaranteed the argument is deductive and if the conclusion of an argument is not guaranteed the argument is inductive.

Approach:

In given argument both the premises support the argument.

Therefore, the conclusion is true.

The argument is deductive.

Conclusion:

The given argument is deductive.

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