What uses the law of mathematics to reach a logical conclusion form given statement?

Deductive reasoning uses the laws of mathematics to reach a logical conclusion from given statements. In deductive reasoning, the conclusion is necessarily true if the premises are true. This is because the conclusion is a logical consequence of the premises.

For example, consider the following argument:

1. All men are mortal.

2. Socrates is a man.

3. Therefore, Socrates is mortal.

The conclusion of this argument is necessarily true if the premises are true. This is because the statement "All men are mortal" means that every man is mortal. Socrates is a man, so he must also be mortal.

Deductive reasoning is often used in mathematics, philosophy, and law. It is a powerful tool for reaching logical conclusions from given statements. However, it is important to note that deductive reasoning can only be used to reach conclusions that are necessarily true. If the premises are not true, then the conclusion may not be true.