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If you climb mountains, you will not live to a ripe old age. But you will be bored unless you climb mountains. Therefore, if you live to a ripe old age, you will have been bored. Which one of the following most closely parallels the reasoning in the argument above? (A) If you do not try to swim, you will not learn how to swim. But you will not be safe in boats if you do not learn how to swim. Therefore, you must try to swim. (B) If you do not play golf, you will not enjoy the weekend. But you will be tired next week unless you relax during the weekend. Therefore, to enjoy the weekend, you will have to relax by playing golf. (C) If you work for your candidate, you will not improve your guitar playing. But you will neglect your civic duty unless you work for your candidate. Therefore, if you improve your guitar playing, you will have neglected your civic duty. (D) If you do not train, you will not be a good athlete. But you will become exhausted easily unless you train. Therefore, if you train, you will not have become exhausted easily. (E) If you spend all of your money, you will not become wealthy. But you will become hungry unless you spend all of your money. Therefore, if you become wealthy, you will not become hungry.

Step by step solution

01

Understand the Original Argument

The original argument states: "If you climb mountains, you will not live to a ripe old age" and "you will be bored unless you climb mountains." It concludes: "Therefore, if you live to a ripe old age, you will have been bored." This can be restated in logical form: Let \( P \) be "you climb mountains," \( Q \) be "you live to a ripe old age," and \( R \) be "you are bored." The premises are: \( P \rightarrow eg Q \) and \( eg P \rightarrow R \). The conclusion is: \( Q \rightarrow R \). This is a form of contrapositive reasoning.

02

Analyze Option C

Look at option C: "If you work for your candidate, you will not improve your guitar playing," "you will neglect your civic duty unless you work for your candidate," and "Therefore, if you improve your guitar playing, you will have neglected your civic duty." Translate into logical statements: Let \( A \) be "you work for your candidate," \( B \) be "you improve your guitar playing," and \( C \) be "you neglect your civic duty." The premises are \( A \rightarrow eg B \) and \( eg A \rightarrow C \). The conclusion is \( B \rightarrow C \), matching the contrapositive structure from the original argument.

03

Compare Other Options

Compare the rest of the answer choices. For example, option A is structured as: "If you do not try to swim, you will not learn how to swim," and "you will not be safe in boats if you do not learn how to swim," leading to "you must try to swim." This does not match the contrapositive conclusion structure. Similarly, options B, D, and E fail to align with the contrapositive reasoning from the original argument. None parallel the logical form of the original argument as well as option C.

04

Determine the Correct Answer

The parallel reasoning involves maintaining the original argument's structure: \( X \rightarrow eg Y \) and \( eg X \rightarrow Z \), leading to \( Y \rightarrow Z \). Option C is identified as the most accurately matching this form. Hence, option C is the correct answer.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Contrapositive Reasoning

Contrapositive reasoning is a fundamental concept in logical reasoning often utilized in problem-solving and tests like the LSAT. It involves transforming a given conditional statement into an equivalent form. This transformation is achieved by negating both the hypothesis and the conclusion, and then reversing their order. In simpler terms, if the original statement is "If \( P \), then \( Q \)," the contrapositive would be "If not \( Q \), then not \( P \)."

This logical equivalence means that if the original statement is true, so is the contrapositive. Therefore, in arguments and logical deductions, checking the contrapositive allows one to reinforce the validity of the reasoning. This was exactly the method used to solve the original exercise, ensuring that the reasoning and the conclusions drawn are logically sound.

LSAT Preparation

Preparing for the LSAT involves mastering various logical reasoning techniques, especially understanding argument structures and logical statements deeply. One significant aspect is recognizing patterns in logical reasoning, such as contrapositive reasoning, which is frequently encountered.

To prepare effectively:

• Familiarize yourself with common logical structures and practice identifying contrapositive forms.
• Work on translating word problems into logical expressions, as this helps in visualizing the logic.
• Consistently practice with old LSAT papers or similar logical reasoning exercises to build speed and accuracy.
  

Keeping these practices in mind can help increase familiarity with the various question types and logical forms encountered on the test day.

Logical Statements

Logical statements form the backbone of reasoning and argumentation in logic and are crucial for tests like the LSAT. These are declarative sentences that are either true or false, but not both. Understanding how to interpret and manipulate these statements is key to solving logical reasoning problems.

In the context of the exercise:

• The statement "If you climb mountains, you will not live to a ripe old age" can be formally expressed as \( P \rightarrow eg Q \).
• The statement "You will be bored unless you climb mountains" translates to the conditional \( eg P \rightarrow R \).
• The conclusion "If you live to a ripe old age, you will have been bored" is \( Q \rightarrow R \).

Recognizing these transformations and how they operate in logical systems is crucial for building a strong foundation in logical reasoning.

Argument Structure

Understanding argument structure is essential to effectively analyzing and constructing arguments. An argument is composed of premises and a conclusion. The premises provide the support or base, and the conclusion is what the argument seeks to prove or demonstrate.

In the original exercise, the structure involved identifying the premises and forming them into logical expressions to discern the form. The use of contrapositive reasoning as explored in the original solution highlights how specific argument structures can recur in various logical problems.

To sharpen skills in argument structure:

• Practice breaking down complex arguments into their basic premises and conclusions.
• Examine how premises logically support a conclusion, and whether certain transformations, such as contrapositives, hold true.
• Engage with diverse examples to see how similar argument structures can be identified across different contexts.
  

Grasping these concepts enhances your ability to navigate and analyze arguments not only on tests but in everyday reasoning.