Jon, List,
the arguments in your Peirce-quotes are Ockham´s razor plus an analogy to Anselm´s proof of God. Both figures are not by everybody agreed to being valid. But I believe in continuum, I guess. I think, physicists donot quibble, whether the continuous fields- and waves- theory is the
Jon, List,
ontologically, in reality, a continuum cannot be built up from infinitesimally small points. But infenitesimality can only be infinitely iterated towards in reality, if there already is a real continuum. So I see a tautology. Just imagine, that there would not be a real continuum:
Edwina, List, I think, continuity means a gradient without steps. By looking at the gradient with a microscope, we see steps (e.g. quantums). By looking at the inner and outer edges of the steps, we see, that they are rounded (e.g. due to the Heisenbergean blurredness), so continuous again. By
List, I think, we can prescind discreteness from continuity, e.g. by supposing the formation of attractors, or coagulation, or reentry (logical or actual loops), but we cannot prescind continuity from discreteness. So everything including thirdness is at first based on continuity, even if it
