(September 7, 2017 at 3:27 pm)alpha male Wrote:(August 10, 2017 at 7:35 am)pool the matey Wrote: You don't have a cake - 0
OK.
Quote:You cut this virtually non existent cake into two pieces - 0/2
So, 0 represents cake, / represents cutting, 2 represents resulting number of pieces.
Quote:What are you left with? NOTHING
Math lords call this - 0/2=0
Ok, so that's in the clear. Moving on :
You have a cake - 1
OK.
Quote:You do NOT cut this cake into pieces - 1/0
Since / represents cutting, but you're NOT cutting, your error is in adding /0 in this case.
If you start with 1 and don't cut, you don't add /x, and are left with 1.
The thing is that in math terms that is an operation. It is well constructed given analisys (part of a division ring of the set E with operations + and × that applies the neutral element, the absorbent element (1=/=0) and the distributive law)
Beginners should start by buiding a set E with operation +. Then move on. Its called an algebraic group.