It is possible to prove that 1+1=2 using basic mathematical axioms and definitions, as well as the definition of natural numbers:
First, the natural number 1 is defined as a number without a predecessor, that is, 1 is the smallest natural number, and there is no natural number smaller than 1.
Secondly, one of the basic properties of natural numbers is the associative law of addition, that is, for any natural numbers a, b, c, there is (a+b)+c=a+(b+c).
According to the definition and associativity law, the following proof can be obtained:
1+1=(1+0)+1 (The zero element of addition is defined as 0) =1+(0+1) (Associative law) =1+1 (The zero element of addition is defined as 0) =2 (Natural number 2 is defined as the existence of a successor of the number 1, that is, 2 is 1+1)
Therefore, it can be scientifically proven that 1+1=2.