The conversation between human and AI assistant.
How can we prove that we can prove 2+2=4?
Can you give me an example of a mathematical proof for 2+2=4?
One way to prove it is by using Peano's axioms of arithmetic. We start with the axiom that 0 is a natural number. Then we define the successor function, such that if n is a natural number, then n+1 is also a natural number. Using these axioms, we can prove that 2+2=4 by showing that 2+2 equals the successor of the successor of the successor of the successor of 0 (which is 4).