What is the relationship between logic and math?

There is actually a debate about the relationship between logic and mathematics. It is summarized in these points of view.

Intuitionism holds that mathematics originated in intuition.

Logicism holds that mathematics originated in logic.

Formalism holds: both.

If you look at the disciplines alone, they are both fundamental, and neither is a branch of the other. UNESCO has a classification of the sciences that lists logic, mathematics, astronomy, chemistry, life sciences, astronomy, and geography as the seven basic disciplines.

From the ancient Greek Aristotle's logic development to today, logic after more than two thousand years of history. Aristotle's logic after the medieval development of more mature, the formation of classical formal logic. At the end of the 19th century and the beginning of the 20th century, a German mathematician and logician named Frege and a British mathematician and logician named Russell created what they called mathematical logic, which is different from Aristotle's logic and is called classical logical algorithm. Since Frege and Russell we have begun the development of modern logic. The classical logic created by Frege and Russell became the foundation of modern logic. On the basis of the classical logical algorithms, a large group of disciplines of modern logic was developed, mainly two large groups of disciplines: one is called mathematical logic and the other is called philosophical logic. Mathematical logic is a cross between logic and mathematics, a branch of logic. The intersection of logic and philosophy, there is a philosophical logic, the intersection of logic and jurisprudence, there is a legal logic, and so on.