This shows me all of you have studied MATH. You just don't know the difference. You should be able to tell a tree by its fruit. Do any of you even know there is a branch literally called MATHEMATICAL LOGIC? This is what you refer to. You ought to be using the FULL NAME of the logic you refer to as LOGIC. For thousands of years prior to Mathematical logic people KNEW logic as deductive logic. Inductive logic is another name for science. Now mathematical logic is popular people don't care about distinctions anymore.