Finding a point in an infinite space

[Tvtyrant]

There is a plane where the X-axis goes from -∞ to ∞ and where the Y-axis goes from -∞ to ∞. You know that somewhere on the plane is a point whose X and Y values are both whole numbers. Your goal is to find this point, but you can only ask yes/no questions about the point; there's no limit on how many such questions you can ask, nor on the complexity of the questions, save that they must be answerable with a binary "yes" or "no" answer. Can you find the point, and if so what is your method?

"Has the number ever been seen by a human before?" If yes the questions are now finite. If no begin infinite questions.