You could in theory conceive of breaking the 1873 objects you were sharing into small piecos, 199824, and then apportioning them appropriately. However, a number like 1.4142... with no repoating decimal expansion and no representation as the quotient of two whole numbers poses some problems. One could appeal to another Pythagorean perspective and imagine a right triangle with perpendicular sides of unit length-thus we can measure the hypotenuse and define that as is precisely this example which caused Hippasus 2 It to be cast overboard.