What is Logic in Math?
Throughout history, the concept of mathematics has been linked with the philosophy of logic. Logic is the study of formal reasoning based on statements or propositions. You can say that logic was discovered way before core mathematics since the latter one is considered as the language to explain the logic or vice versa. Aristotle is the first mathematical, which brought out the idea of logic when he was codifying the concept of mathematical reasoning.
The basic principle of logic is that a statement cannot be true or false at once. All the mathematical reasons are based on this fact alone. However, as per the research conducted by Aristotle, logic, and mathematics may work in tandem, but logic itself is a study of the independent concept of reasonings. On the whole, logic is a way to improve one's critical thinking skills by not just looking at a problem but studying the problem and implementing strategies to find a solution. It involves both inductive and deductive reasoning.