[deltathreetwo]

In English science exclusively refers to science as Wikipedia defined it.

Formal science is a rarely used term. In fact much of the (English) academic world doesn't consider logic, math, or computer science to be actual sciences. The term is basically unheard of. You may find some people who use the term but most people don't know about it.

The reason is simple, the nature of what science is, is not discussed by scientists. It is more discussed by philosophers or French people.

If you weren't suffering from a language issue, I would indeed be 100% correct that you don't know what you're talking about; but given your language impairment and your claim that French academics in common parlance demarcate a difference in sciences between formal and applied it makes sense that you can make this mistake.