What is the Law of detachment?

Answer 1

Answer
Law of Detachment ( also known as Modus Ponens (MP) ) says that if p=>q is true and p is true, then q must be true.

example:
If an angle is obtuse, then it cannot be acute.
Angle A is obtuse.
Therefore
Angle A cannot be acute.

The Law of Syllogism ( also called the Law of Transitivity ) states:
if p=>q and q=>r are both true, then p=>r is true.
example:

If the electric power is cut, then the refrigerator does not work.
If the refrigerator does not work, then the food is spoiled.
So if the electric power is cut, then the food is spoiled.
Law of Detachment also known as Modus Ponens (MP) says that if p=>q is true and p is true, then q must be true.

The Law of Syllogism is also called the Law of Transitivity and states: if p=>q and q=>r are both true, then p=>r is true.
In a nutshell, it's saying that if you have a conditional, and you have the antecedent, you then have the consequent. For example, we know that, "If it snows this winter, we will need to wear warm winter clothing outside." Suddenly it's mid-December and the forecast is snow. Therefore, it's probably the time to go shopping for winter clothes, if we don't already have any.