Its not difficult to formulate operation that gives 2 + 2 = 5

2 '+' 2 = 2 is quite common. Its called idempotent operation

https://en.wikipedia.org/wiki/Id operationempotent_matrix

idempotent operation means element x operates on x itself give x

To the delight of white nationalists,idempotent operation also has a racial meaning. Lets put '+' as the operation :'to procreate with'

white + white = white

black + black = black   ..... and so on