First major similarity, and the reason why mathematics is called one of the most precise sciences, is that it uses strong logic methodology. But note, this logic is used as a tool of thinking to solve problems in math, and develop mathematics. Logic is a separate discipline that can, and should, UNIVERSALLY be applied to any other scientific discipline.
Second major similarity is that mathematicians succeeded to define initial truths in mathematics, truths to start with, starting postulates or AXIOMS. But note, while axiom might be considered a mathematical term, it's meaning can be applied to ANY other scientific discipline or any other creative direction of thinking. Axioms are everywhere, we use it every day, but we do not call them axioms. Usually, these are initial assumptions in our directional thinking to solve a problem or to come up with a creative answer for something. The same truths are present in law, biology, physics, of course, the way they are discovered are different for each discipline. But, this is how it should be done. Define initial assumptions, make sure they are correct and start develop the system you are interested in.
Now, note how mathematics used LOGIC and AXIOMATIC approach to deal with counts! It is not that counts triggered development of logic and axioms. It's vice versa. Logic and axioms were there before, and are used to develop and enhance mathematics and are and should be used to enhance and develop other scientific and other creative human disciplines.
You can read more:
- Real world examples for rational numbers, for kids
- Math and its relationship with real world
- How math can be applied to so many different fields?
- Where the graphs in mathematics and physics come from?
- Tweets about math, physics, and how to approach math calculations
- One insight about mathematical axioms, logic and their relation to other disciplines
- How the ideas are born and notes on creative thinking
- Mathematics Axiomatic Frontier
- Why math can be an independent discipline?
- More on creative thinking, math, innovations, physics, emotions
- Comparison between making movies and math and physics
- More tweets about math
- Domains of math applications and math development
- Where all those number series in math are coming from?
- How to understand the role of math in economics, physics, engineering, and in other fields