Interestingly enough, 1+1 isn't necessarily 2. It's only 2 because that's how we have established numeric algebra, perhaps from an intuitive notion. But in boolean algebra, for example, 1+1=11. I lack the specific knowledge in set theory but I suspect it goes much deeper. And there are parts in the universe in which the addition of two amounts makes no sense, and to explain those we had to develop new mathematical operators, new abstractions in order to make a mental diagram of reality.
While it's true that 1+1=2, this is nothing more than a human abstract fabrication.
...what was I talking about, again?