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Chapter 3: Problem 9

Determine whether or not each sentence is a statement. Is the unexamined life worth living?

Short Answer

Expert verified
The sentence 'Is the unexamined life worth living?' is not a statement in Logic.

Step by step solution

01

- Understanding what is a statement in logic

A statement or a declarative sentence in Logic is a sentence that declares a fact or an argument and that is either true or false, but not both. The truth value can only be judged based on its agreement with facts and not by personal opinions.
02

- Identify the structure of the provided sentence

The provided sentence 'Is the unexamined life worth living?' is actually a question, it asks us to evaluate the worth of an unexamined life. Questions in itself can't be classified as true or false, it requires an answer.
03

- Determination of the sentence as a statement

Since the sentence is a question, and it neither declares a fact or an argument, nor it can have a clear true or false value, it does not meet the definition of a statement in Logic.

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Most popular questions from this chapter

Use Euler diagrams to determine whether each argument is valid or invalid. All clocks keep time accurately. All time-measuring devices keep time accurately. Therefore, all clocks are time-measuring devices.

Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form. (You can ignore differences in past, present, and future tense.) If Tim and Janet play, then the team wins. Tim played and the team did not win. \(\therefore\) Janet did not play.

Use Euler diagrams to determine whether each argument is valid or invalid. All professors are wise people. Some professors are actors. Therefore, some wise people are actors.

Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form. (You can ignore differences in past, present, and future tense.) If he was disloyal, his dismissal was justified. If he was loyal, his dismissial was justified. \(\therefore\) His dismissal was justified.

Use Euler diagrams to determine whether each argument is valid or invalid. All writers appreciate language. All poets are writers. Therefore, all poets appreciate language.
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