Does the following argument illustrate the Law of Syllogism? Given: If the sun is shining, then it is a beautiful day. If it is a beautiful day, then we will go for a bike ride. Conclude: If we go for a bike ride, then it is a beautiful day. yes no
Yes
Yes, the argument illustrates the Law of Syllogism. The Law of Syllogism states that if we have two conditional statements in the form "If A, then B" and "If B, then C," we can logically conclude "If A, then C." In this case, the argument follows this structure, with the first conditional statement being "If the sun is shining, then it is a beautiful day," and the second conditional statement being "If it is a beautiful day, then we will go for a bike ride." The conclusion of the argument is "If we go for a bike ride, then it is a beautiful day," which is the result of applying the Law of Syllogism to the given statements.
Yes, the argument does illustrate the Law of Syllogism. The Law of Syllogism states that if there are two conditional statements, with the conclusion of the first statement being the hypothesis of the second statement, then it is valid to form a conclusion by combining the hypothesis of the first statement with the conclusion of the second statement.
In this case, the first statement is "If the sun is shining, then it is a beautiful day." The second statement is "If it is a beautiful day, then we will go for a bike ride." The conclusion is "If we go for a bike ride, then it is a beautiful day."
To determine if the Law of Syllogism is applied correctly, we can check if the conclusion combines the hypothesis of the first statement ("we go for a bike ride") with the conclusion of the second statement ("it is a beautiful day"). Since the conclusion does combine these two elements, we can conclude that the argument does illustrate the Law of Syllogism.