currentPos = new Point(currentPos.x+1, currentPos.y+1); does a few things, including writing default values to x and y (0) and then writing their initial values in the constructor. Since your object is not safely published those 4 write operations can be freely reordered by the compiler / JVM.
So from the perspective of the reading thread, it is a legal execution to read x with its new value but y with its default value of 0 for example. By the time you reach the println statement (which by the way is synchronized and therefore does influence the read operations), the variables have their initial values and the program prints the expected values.
I'm not anywhere near smart or careful enough for that... I think I'll stick with Haskell.