You're right that the complexities are approximate in some sense. But now I actually have more questions: 1. Are you aware that the complexity analysis isn't a

You're right that the complexities are approximate in some sense. But now I actually have more questions: 1. Are you aware that the complexity analysis isn't about being precise but about being able to predict the time for any given input given some sample? Since from my own experience, it's more of an analytical part and it's about calculations of worst case scenarios/computability of the process overall. Still, it has everything to do about actually predicting the exact values, with the grain of salt that the relativity of the method is. 2. Are you actually aware that the math isn't about being "precise" in the sense of numbers but about relationships between abstract entities? Ever heard something about category theory or pretty much anything related to the abstract algebra? 3. Is there anything else than math that helps abstraction in your opinion? For what I know, even mediocre understanding of abstract algebra helps a lot. Please note that this question is totally non-ironic, I'd really want to know.