I have a really hard time understanding why people like 1-based indexes! 0 is the smallest unsigned integer in every programming language I know of that supports the concept of unsigned integer. Why shouldn’t an array at the smallest possible index correspond to the beginning of the array?
It’s also very natural to think of arr[i] as “i steps past the beginning of arr”. With one-based indexing arr[i] has no natural interpretation that I know of. It’s “i-1 (for some reason) steps past the beginning of arr”. The only reason I can think of to prefer that extra -1 in your formula is just because human languages (at least the ones I know of) work this way — the 42nd element of a sequence, in normal colloquial English, means the one 41 steps past the beginning. But I’m not sure if there is any logical justification for that.
I also, despite being American, find the convention used in many countries of numbering building floors starting with zero to be more logical. I’m on the third floor, how many stories up did I travel to get here? Three.
It’s also very natural to think of arr[i] as “i steps past the beginning of arr”. With one-based indexing arr[i] has no natural interpretation that I know of. It’s “i-1 (for some reason) steps past the beginning of arr”. The only reason I can think of to prefer that extra -1 in your formula is just because human languages (at least the ones I know of) work this way — the 42nd element of a sequence, in normal colloquial English, means the one 41 steps past the beginning. But I’m not sure if there is any logical justification for that.
I also, despite being American, find the convention used in many countries of numbering building floors starting with zero to be more logical. I’m on the third floor, how many stories up did I travel to get here? Three.