We pure mathematiciand do addition and multiplication all the time, it’s just that what it represents is like, identification of module of structure sheaf.
Integration is just a summation, where limit is there to cover countablility!
Calculus is addition but over “measurable” domains, it is a rather natural generalization.
Though, mathematicians do care about whether the calculation “makes sense” - that is, they care about the rigor. Which is why it may seem they invented something wild.
Inventing addition is different from adding things. They invented the continious addition in measurable domains. Even though they may calculate using calculus, they are about making the thing not doing calculations with the thing
Inventing addition is different from adding things. They invented the continious addition in measurable domains. Even though they may calculate using calculus, they are about making the thing not doing calculations with the thing
We pure mathematiciand do addition and multiplication all the time, it’s just that what it represents is like, identification of module of structure sheaf.
Inventing calculus is different from doing integration. Thats what i’m saying
Calculus is addition but over “measurable” domains, it is a rather natural generalization.
Though, mathematicians do care about whether the calculation “makes sense” - that is, they care about the rigor. Which is why it may seem they invented something wild.
Inventing addition is different from adding things. They invented the continious addition in measurable domains. Even though they may calculate using calculus, they are about making the thing not doing calculations with the thing
Inventing addition is different from adding things. They invented the continious addition in measurable domains. Even though they may calculate using calculus, they are about making the thing not doing calculations with the thing