You are not logged in.
Re: Addition as Repeated Increment
I'm not sure I know the exact answer to yiur question, but you may want to read about Peano's axioms. It seems a bit related to your question.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment