It is very important to remember a very old point of view (Descartes 1600):
“The Universe is written in the mathematical language”.
Apparently and only apparently, this statement is correct. But it is wrong.
Imagine math as a straight line and
physics as music!
Mathematics has to be seen in three main contexts of work:
1. Abstract context, as it is for mathematicians.
Zero-dimensional point, Straight line, Circle, Square, Equations, y=1/n, z=1/x, Probability theory, Statistics, and so on. All these seem to be perfect and beauty.
Math is a crystal ball of abstractions!
2. Practical context, as it is for engineers.
Bridges, Roads, Machines, Computers, and so on. All these work with a variety of mathematical formulas in strong correlation with standards, security and business. Here we have units of measure, tools for doing all. Here we live and work. Here we use a variety of concepts such as time, energy, speed, value.
3. Scientific context, as it is for physicist describing elementary particles or the Universe.
Here we have some very, very special bricks: Elementary particles in motion having specific properties: dimensions, behavior and mystery. Magnetic field, electric field, gravity and interactions. Levels of complexity such as physics, chemistry and biology. Planets, Solar systems, Galaxies, Universe.
In addition, the unique “tool” for seeing inside ‘very small’ and ‘very big’
is our imagination!
To this level (micro and macro) the math became a kind of bureaucracy.