List, Kirsti, Stephen: On Nov 11, 2014, at 12:27 PM, Kirsti Määttänen wrote:
> That is the distinction between continuity and continuums. CSP's synechism > is about the principle of continuity. Which is a philosophical statement > (having to do with mathematics, but not a mathematical statement). > > > If anyone writes "continuity" and then changes into talking about continuum, > that is something to be duly noticed. That is what I wish to say. There is a > difference. > > Best, > > Kirsti An important post from the perspective of "Natural Propositions" Will you clarify your distinction? I am a bit discomforted by the implication that mathematical statements are not philosophical statement, although I agree that the relation between philosophy and mathematics is asymmetric, or, from my perspective, differential usages of grammars and meanings of symbols. I suspect that your intent is to distinguish the continuity of an object or process, inferring a temporal stability of one sort or another, a weak invariance. In this sense would you also like to imply the desire for a "what" and a "how" to place the meaning of continuity in a relative context? Or, am I missing the point? Stephen Rose's post appeared just as I was about to send this response. His distinction is an important one. A continuity of a process can be restricted to a finite Cantorian interval of any duration. This is closely related to the principles of biosemiotics. An interesting example of the sort of conundrums that arise is with a small metabolite of a cell. In the dynamic processes of life, individual small molecules are created and consumed at very high rates. Or, they may only appear as a consequence of induction by exterior inducers and become a part of the continuity of the cell, but only as long as the external inducer is present. Remove the external inducer and the biosemiotics of the cell changes, and the metabolite is no longer part of the cell. (This is just a re-statement of the narratives constructed to describe the Lac operon in terms of both the continuity and dis-continuity of bio-semiotics in relation to the generative chemistry of life.) Cheers Jerry
----------------------------- PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to [email protected] . To UNSUBSCRIBE, send a message not to PEIRCE-L but to [email protected] with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm .
