>Mathematic is just logic (consists of condition and pre-condition) but expressed in numbers;
>Science is just logic (consists of condition and pre condition) but expressed in more concrete empirical way

If we are willing to understand both science and math, therefore we have to know better about logic; definition and the classification.

Logic is a way to come to conclusion based on coherent premises/reasons. There are many forms of logic;

a. Deduction;
b. Induction;
c, Conjunction;
d. Dysjunction;
e. Implication;
f. Biimplication;
e. Negation.

Understand them to understand the more specialized disciplines like math and science.

Thank you.