Let us define point O.
Let us extend line OX from point O that is any arbitrary length, denoted x.
Let us extend line OX by length x forming line OXY.
The combined length of OXY is 2x represented by the equation 1x +1x = 2x.
We can divide both sides of this equation by x.
Therefore:
1 + 1 = 2
Furthermore:
Let this combination of values in the same dimension be termed addition (as denoted by ‘+’ in the equations above).
Discussion: I couldn’t find a clear proof of 1 + 1 = 2 anywhere on the internet so the above serves to illustrate exactly what I mean when I say 1 + 1 = 2. In plain English it is my view that numbers are a tool to analyse a single dimension denoted by the units attached to the number where applicable be that spacial, temporal or abstract.