Explanation A deductive and inductive argument can be defined as follows. A deductive argument is an argument in which it is thought that the premises provide a guarantee of the truth of the conclusion. In an inductive argument, the premises are intended only to be so strong that, if they are true, then it is unlikely that the conclusion is false. Here is the first example of valid deductive argument: “It’s sunny in Singapore. If it’s sunny in Singapore, then he won’t be carrying an umbrella. So, he won’t be carrying an umbrella.” The conclusion follows the word "So". The two premises of this argument would, if true, guarantee the truth of the conclusion. However, we have been given no information that would enable us to decide whether the two premises are both true, so we cannot assess whether the argument is deductively sound. It is one or the other, but we do not know which. If it turns out that the argument has a false premise and so is unsound, this won’t change the fact that it is valid. Therefore, the argument is valid but its deductive argument. The second example is as follows. Here is a strong inductive argument having the form of an argument based on authority: “The police said John committed the murder. So, John committed the murder...

Pearson eText for Using & Understanding Mathematics: A Quantitative Reasoning Approach -- Instant Access (Pearson+)

7th Edition

ISBN: 9780137553334

Author: Jeffrey Bennett, William Briggs

Publisher: PEARSON+

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Chapter 1.D, Problem 72E

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Find three simple arguments in editorials. State whether each is deductive or inductive, and evaluate it accordingly.

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Chapter 1.D, Problem 71E

Chapter 1.D, Problem 73E

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Pearson eText for Using & Understanding Mathematics: A Quantitative Reasoning Approach -- Instant Access (Pearson+)

Ch. 1.A - Prob. 1QQ Ch. 1.A - A fallacy is a. a statement that is untrue. b. a...Ch. 1.A - Which of the following could not qualify as a...Ch. 1.A - An argument in which the conclusion essentially...Ch. 1.A - The fallacy of appeal to ignorance occurs when a....Ch. 1.A - Consider the argument ‘‘I don’t support the...Ch. 1.A - Consider again the argument ‘‘I don’t support the...Ch. 1.A - Prob. 8QQ Ch. 1.A - Suppose that the fact that an event A occurs...Ch. 1.A - When we speak of a straw man in an argument, we...

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