Number is [essentially] valuable real-estate with geographic order built into its place-value notation. Taking places without the order, after duly promoting order to define Map f: A -> B, we put-together a codomain-valued property on domain, and then turn around and take a picture of the domain in the codomain.
Focus, once you have f: A -> B, shifts to how many I wonder, more functions than I need or less than I want…? Back to a number |B|^|A|, brooding over which takes you to a diagram called object: map object, which is where I am at.
Misplaced script: Concepts are people, my friend. It’s not nice to talk about them like they don’t exist, especially when they are around!