LOL, you're a robot. I guess i had to ask the questions on a philosophy forum because I meant a philosophical theory. Besides; The statement that zero is a natural number is a matter of dispute, even in such a "precise" field like mathematics.
I've been asking myself a few questions lately regarding the nature of a theory. It can be any type of theory. I hope someone can answer these to a degree. The questions are:
Can a theory have less than three axioms? Is three the minimum for a theory to make sense?
Is the statement "The less...
Homework Statement
understanding the following equation:
##(n+1)^n(n+1)+1=n(n+1)^n+(n+1)^n+1##.
I don't know from where the first ##n## on the RHS comes and how this is related to a single addition of ##(n+1)^n##.
Homework Equations
##a(b+c)=ab+ac##
The Attempt at a Solution
My guess is...