[sebastialonso]

A lot of people in this type of threads always makes the same mistake: confusing what math is with branches of math, or rather, ways in which math is used. The way the education system is built certainly contributes to this.

I've always found the car metaphor to work very good to understand this: A car is a machine that can transport itself to point A to B (some other rules apply). There are different types of cars, but you certainly haven't understood the definition of you say that something is not a car because is not a Volvo, or because it doesn't look like a Ford, when it's clearly able to transport itself.

Math is the study of ideal objects and the way they behave or are related to each others. We have many branches of mathematics because people have invented so many objects and rules to play with them. Programming is nothing if not this very definition. The fact that you don't have to "use math" when programming is not really addressing the point, it's like saying a car is not a car because it has no discernible brand.

[GoblinSlayer]

Declarative construct is made of relations, but imperative execution isn't, rather it's a process in time, but time is not a thing in math.

[sebastialonso]

Another misconception I'd say.

"Time is not a thing in math" is not understanding what math is. Time is another ideal object following certain rules under a given domain. Programming is coming up with objects of different size, with different characteristics, with interact at different points in time, i.e. following certain rules.