Originally Posted by

**Baron Scarpia**
The fact that there is something in common between three apples and three days is an abstraction.

Counting numbers are an abstraction. Integers are a further abstraction (including negative numbers). Real numbers, rational numbers, irrational numbers, complex numbers are further abstractions.

I still remember in elementary school when the teacher told us she could subtract 5 from 3. It seemed impossible. Then she showed us how to do it on the number line. We were already taught that adding was jumping right on the number line and subtracting was jumping left. If you jump left past zero there is -1, -2, -3. Brilliant!

I am baffled you don't see the internal inconsistencies of your arguments. You started by claiming that speakers and amplifiers shouldn't use negative values because pressure is always positive. That seems to implicitly posit the existence of negative values, but they are verboten. Now you seem to be saying that negative numbers are somehow illegitimate, and shouldn't be used in engineering. You claimed negative values in electronic calculations are "just a model" and don't really exist.

Apparently you only recognize the legitimacy of counting numbers. Is it not clear to you that if you restrict mathematics to counting numbers you will arrest the development of science and engineering at a forth grade level? There would be no Newtonian mechanics, electricity and magnetism, amplifiers, speakers, or computers, for that matter?