Abstractions acts as a cognitive tool for you to think about problems and solving them. Whole human civilization is based on abstractions. Numbers are themselve

Abstractions acts as a cognitive tool for you to think about problems and solving them. Whole human civilization is based on abstractions. Numbers are themselves abstraction, other notations based on numbers uses numbers to create other abstractions and so on. As far as coming up with innovative idea is concerned, if you start digging into abstractions and taking things apart at low level, you will be overwhelmed with so many concepts that you wont be able to see simple patterns and solutions and will be tied up in the complexity because of the limitations of human brain. We build abstractions to overcome our brain limitations and still be able to innovate.