Kirsti, List: Could you expand your intervention to give some examples of how YOU assign tangible meaning to CP 1.501?
Other comments will have to wait, but for one. A Euclidian geometric line has continuity. A Euclidian geometric line is continuous. A Continuum is continuous. Do you agree with this triad? :-) Cheers jerry > On May 29, 2017, at 9:05 AM, kirst...@saunalahti.fi wrote: > > Dear listers, > > I do not think the title of this thread is well-thought. There is nothing > such as a "Space-Time Continuum" which could be reasonably discussed about. > Even though it is often repeated chain of words. > > For the first: Continuity does not mean the same as does 'continuum'. - and > this is not a trifle issue. Within philosopy one should mind one's wordings. > > For the second: Take into true consideration the quote provided: > > MB >>> One of my favorite Peirce quotes... "space does for different subjects >>> of one predicate precisely what time does for different predicates of >>> the same subject." (CP 1.501) > > Here CSP is clearly talking about conceptual issues & philosophizing. The key > point being the relation between 'subject' and 'predicate'. > > CSP differentiates between considerations of space and time. At least he does > so in separating the issues for a specific approach &consideration each > approach needs. > > What CSP is saying, is to my mind, that continuity in time and continuity in > space need to be fully grasped BEFORE taking them both as an issue to be > tackled. Especially by such a concept as a continuum. > > A continuum has a beginning and an end. It is presupposed in the very > concept. The very idea of a big (or little) bang as a start or an end just > illustrates current minds, current common sense. The still dominating > nominalistic world-view. > > What is non-Eucleidean geometry about? It is about radically changing the > scale. Any line which appeared to previous imagination as a straight one, and > necessarily so, does not appear so after the fact that the earth is round had > been fully digested. > > This is not assumed to play any part in the invention of non-Euclidean > geometry. And it does not in the stories and histories told about it. > > The earth does appear flat, in the experiential world of all human beings. > And goes on to appear so untill interplanetary tourism becomes commonplace. > Flat, although somewhat bumby. > > I am curious about possible responses. Do wish I'll get some. > > Kirsti > > > > > > > > > John F Sowa kirjoitti 20.5.2017 00:28: >> Jeff and Mike, >> Those are important points. >> JBD >>> In a broad sense, Sir William Rowan Hamilton anticipated Einstein's >>> idea that space and time can be conceived as parts of a four dimensional >>> continuum. In fact, he used the algebra of quaternions to articulate a >>> formal framework for conceiving of such physical relations as part of a >>> four dimensional field. >> Peirce was familiar with Hamilton's work. And when he was editing >> the second edition of his father's book _Linear Algebra_, he added >> some important theorems to it. In particular, he proved that the >> only N-dimensional algebras that had division were the real line >> (1D), the complex field (2D), quaternions (4D), and octonions (8D). >> MB >>> One of my favorite Peirce quotes... "space does for different subjects >>> of one predicate precisely what time does for different predicates of >>> the same subject." (CP 1.501) >> He also discussed non-Euclidean geometry. While he was still at the >> US C&GS, he proposed a project to determine whether the sum of the >> angles of triangles at astronomical distances was exactly 180 degrees. >> Simon Newcomb rejected that project. >> John > > > ----------------------------- > PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON > PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu > . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu > with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at > http://www.cspeirce.com/peirce-l/peirce-l.htm . > > > >
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