Does the following argument illustrate the Law of Syllogism? Given: If the power is cut, then the refrigerator will not work. If the refrigerator will not work, then the food will spoil. Conclude: If the power is cut, then the food will spoil. no yes

Yes, the argument does illustrate the Law of Syllogism. The argument follows the pattern of the Law of Syllogism where two conditional statements are combined to reach a conclusion.

Yes, the given argument does illustrate the Law of Syllogism. The Law of Syllogism states that if we have two conditional statements (if-then statements) and the conclusion of the first statement matches the hypothesis of the second statement, then we can derive a new conditional statement by combining the hypotheses of the two original statements. In this case, the argument follows the pattern of the Law of Syllogism:

1. If the power is cut, then the refrigerator will not work. (First conditional statement)
2. If the refrigerator will not work, then the food will spoil. (Second conditional statement)
3. Therefore, if the power is cut, then the food will spoil. (Combined conclusion derived from the two conditional statements)

Hence, the argument follows the Law of Syllogism, and the conclusion can be validly drawn.

Yes, the given argument does illustrate the Law of Syllogism. The Law of Syllogism states that if there are two conditional statements where the conclusion of the first statement is the hypothesis of the second statement, then we can conclude the hypothesis of the first statement implies the conclusion of the second statement.

In the given argument, this can be seen as follows:
Statement 1: "If the power is cut, then the refrigerator will not work."
Statement 2: "If the refrigerator will not work, then the food will spoil."

Now, we use the Law of Syllogism to combine these two statements:
If the power is cut (hypothesis of statement 1), then the refrigerator will not work (conclusion of statement 1).
If the refrigerator will not work (hypothesis of statement 2), then the food will spoil (conclusion of statement 2).

Therefore, we can concludethat if the power is cut, then the food will spoil, which aligns with the given conclusion.