[EternalCarnage]

Learning with examples is crucial. Personally, I find it easier to grasp mathematical concepts when I encounter them in various real-life scenarios. Similarly, understanding the rationale behind the introduction of a specific concept or definition in a field helps me comprehend it better.

To me, mathematics is a carefully crafted compilation of concepts devised to provide precise descriptions (like cross product, dot product, determinants, derivatives) or simplify and generalize ideas (such as linear maps, wedge product).

In essence, mathematicians create these tools and then analyze them to uncover similarities and patterns.

Would math "exist", if there were no "sensory inputs" at all?