Does the following argument illustrate the Law of Detachment? Given: If the fuse has blown, then the light will not go on. The light will not go on. Conclude: The fuse has blown. no yes

yes

Yes, the argument does illustrate the Law of Detachment. The Law of Detachment states that if we have a conditional statement in the form "if p, then q" and we know that "p" is true, then we can conclude that "q" is also true. In this case, the argument follows this pattern:

Given: If the fuse has blown, then the light will not go on.
The light will not go on.
Conclude: The fuse has blown.

We know that the condition "the light will not go on" is true, so according to the Law of Detachment, we can conclude that "the fuse has blown."

Yes, the argument does illustrate the Law of Detachment. The Law of Detachment states that if we have a conditional statement "if p, then q" and we also have the statement "p," then we can logically conclude "q."

In this argument, we are given the conditional statement "if the fuse has blown, then the light will not go on." We are also given the statement "the light will not go on." By applying the Law of Detachment, we can conclude that "the fuse has blown," as it is the logical consequence of the given statements.