Of course, it is intuitively clear that the real line somehow may be conceived as a sort of geometrical realization of the number line. I wonder, however, how this relates to the non-standard real numbers, à la Robinson: are they also usefully thought of as represented on the same geometrical line or is there some kind of obstacle or difficulty to such an interpretation?
Of course, it is intuitively clear that the real line somehow may be conceived as a sort of geometrical realization of the number line. I wonder, however, how this relates to the non-standard real numbers, à la Robinson: are they also usefully thought of as represented on the same geometrical line or is there some kind of obstacle or difficulty to such an interpretation?