Concept explainers
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. |
a)
To classify:
The nature of given argument.
Answer to Problem 1CR
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.
b)
To classify:
The nature of given argument.
Answer to Problem 1CR
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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Chapter 1 Solutions
Mathematics: A Practical Odyssey
- Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning