In particular, if you have at least one apple, there is no number of apples I can give you such that you no longer have any apples.
Sure there is, as long as you realize that “give” and “take” are the same action. Giving −1 apples is just taking 1 apple.
Number of apples isn’t closed under taking.
If you wish to satisfy the ring axioms from scratch, you must first invent the economy...
Sure there is, as long as you realize that “give” and “take” are the same action. Giving −1 apples is just taking 1 apple.
Number of apples isn’t closed under taking.
If you wish to satisfy the ring axioms from scratch, you must first invent the economy...