Earlier quoted context omitted.
Computers are still imperative, so all functional code is arguably syntactic sugar over that core causing a lot of leaky abstractions to show up all over the place. I think the problem with Object-oriented programming is it's taught to soon. Start with Imperative then Functional then toss object oriented into your senior year.
A ton of problems in software engineering, I am convinced (and isn't wild generalization one of the marks of our field! I at least want to own my own hypocrisy here) are communication problems. Nearly all the interesting ones, anyway. And one of them is axioms no-one ever communicates . I've worked with programmers with at least three markedly different axiomatic bases, for want of some less pretentious – and less ex…
OTOH, I would also place myself somewhat in the 'mathematician' category because I see imperative code as functional code where each instruction is a function that takes the current machine state and some parameters and computes a new machine state. The new machine state is an input for the next instruction. When you see it that way, instruction pipelines in the CPU become very easy to comprehend: the CPU calculates one or more possible future machine states while waiting for a response from DRAM, then selects the correct state based on the response.
Seeing it that way also reveals the main issue with imperative programming: the each instruction accepts too many inputs! Functional programming helps constrain the inputs so that it's easier to reason about what the code does and how it can change.