What is law of detachment?

The law of detachment is a fundamental principle of reasoning in logic, mathematics, and philosophy. It states that if we have two premises, A implies B and A is true, then we can infer that B is also true.

In other words, if we know that one statement implies another, and we know that the first statement is true, then we can logically conclude that the second statement must also be true.

For example, if we know that "If it is raining, then the streets will be wet," and we observe that "It is raining," then we can use the law of detachment to conclude that "The streets will be wet."

The law of detachment is a basic form of logical inference that is widely used in many areas of science, engineering, and mathematics. It is an essential tool for any critical thinker who needs to evaluate arguments, make decisions, or solve problems.