Numbers, in their pure form, are abstract concepts. They only behave according to the set of rules you make them follow. What you are asking is really a question of number theory. I'm sure if you are really that upset with the idea that 1+1=2, you could probably find some abstract algebra out there in which the result doesn't happen. For instance, if you disreguard the rule not allowing division by zero, you can make 1=2. (or more specifically 1x=2x, so any number equal to its double) So using that idea, you could make 1+1= whatever your heart desires. Or, if its just the visual aspect of the equation that bothers you, you could always just assign some other symbols for 'one' and 'two' and come up with <+<=^ or something. Or, you could just switch bases and get 1+1=10, but then we're just arguing symantics, because its the same thing, just a different 'language'. The simple answer is 1+1=2 because thats what people agreed it do a long, long time ago. There is no magical, mystical secret here.