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Define hypothetical syllogism

Question

Define hypothetical syllogism

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Solution

Step 1: Understand the question The question is asking for a definition of hypothetical syllogism.

Step 2: Define hypothetical syllogism Hypothetical syllogism is a logical reasoning pattern that involves two conditional statements, also known as "if-then" statements. It states that if the antecedent (the "if" part) of the first conditional statement is true, and the consequent (the "then" part) of the first conditional statement is the same as the antecedent of the second conditional statement, then the consequent of the second conditional statement is also true.

Step 3: Provide an example For example, let's say we have the following two conditional statements:

  1. If it is raining, then the ground is wet.
  2. If the ground is wet, then the grass is slippery.

Using hypothetical syllogism, we can conclude: If it is raining, then the grass is slippery.

Step 4: Summarize In summary, hypothetical syllogism is a logical reasoning pattern that allows us to draw conclusions based on two conditional statements. It helps us determine the truth value of the consequent of the second conditional statement by connecting the antecedent of the first conditional statement with the consequent of the second conditional statement.

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