Then I misunderstood the article when it said > When this is done, RT22 states that there will exist an infinite monochromatic subset: a set consisting of infi

Then I misunderstood the article when it said > When this is done, RT22 states that there will exist an infinite monochromatic subset: a set consisting of infinitely many numbers, such that all the pairs they make with all other numbers are the same color. I read this as saying "There exists and infinite number of x's which satisfy the relation f(x, y) = blue for all values of y over some arbitrary function f()". What am I missing?