> But it's not a good idea to let ourselves get carried away, we still have two binary operations going on. At any rate we have to impose that n·0=0, which can't be writen cleverly as "repeated addition" and worked up backwards.
Why is this not a good idea?
Can’t we just accept/postulate that the additive identity is different from the multiplicative identity?
And still define a relationship between the addition and multiplication?
Maybe I misunderstand the issue..
(I’m not trying to be pedantic, but my math background has some holes :)
Why is this not a good idea?
Can’t we just accept/postulate that the additive identity is different from the multiplicative identity?
And still define a relationship between the addition and multiplication?
Maybe I misunderstand the issue..
(I’m not trying to be pedantic, but my math background has some holes :)