sqrt question

[Vtile]

(04-10-2017 01:44 AM)nsg Wrote:  

(04-09-2017 11:07 PM)Vtile Wrote:  If you make substitution 1=-1 that would mean that whole number line is substituted so 2 turns to -2 and so forth. With only means that the calculus is also mirrored.
How the calculus would go idk (I assume 1*1=-1 and -1*1=1 etc.)

Here, you said it yourself. If you replace 1 with -1 you will get 1*1=-1 and -1*1=1 which is obvious nonsense. Or at least it is not what you have in "usual" algebra. If you replace i with -i, there will be no difference in available identities. Everything that was true in "old" algebra is true in "new" algebra and everything that wasn't, isn't.

Well the nonsense is also in the real number line, but were are just so accustomed to it that I doubt hardly none will notice. Ie. when we go to negative numbers the plus operation turns to substaction (both numbers negative) and if we go between 0..1 the division is actually a multiplication (the 1/primes are fascinating, not that I understand those a one thing) and I'm sure there is other rather amusing quirks I can not pull out offhand atm. /offtopic