List: >From the perspective of modern chemistry, why would CSP even DREAM of a >possible relation (illation?) between continuity and the atomic weight of >oxygen?
4.372 - 4.377 appear to be both relevant and in deep tension with this comparison. See in particular, the role of illative transformation in pragmatic changes (4. 375). This is the critical “realism” / “pragmatism” argument that CSP is putting forth very late in his life. What underlying notions are held by CSP such that he composes a comparison between two completely separate and distinct symbols systems? In short, Jeff raises a critical question that needs an associative network of contributing facts/factors. Cheers Jerry > On Feb 22, 2017, at 11:47 AM, Benjamin Udell <[email protected]> wrote: > > Jeff D., list, > I agree with John S. and Gary F. about Peirce's not very detailed analogy > between time regarded as continuous and oxygen's atomic weight regarding as > 16 in Peirce's addition (beginning "_Added_, 1908, May 26.") of "Some Amazing > Mazes (Conclusion), Explanation of Curiosity the First". The addition is > rather important, as it happens, because of what Peirce winds up saying in it. > > Jérôme Havenel (2008): "It is on May 26, 1908, that Peirce finally gave up > his idea that in every continuum there is room for whatever collection of any > multitude. From now on, there are different kinds of continua, which have > different properties." I don't remember whether Havenel gets into the analogy > of continuity with atomic weight. > > Havenel, Jérôme (2008), "Peirce's Clarifications on Continuity", > _Transactions_ Winter 2008 pp. 68–133, see 119. Abstract > http://www.jstor.org/pss/40321237 <http://www.jstor.org/pss/40321237> > I think Matthew Moore also discusses the addition in his Peirce collection > _Philosophy of Mathematics: Selected Writings_ > http://www.iupui.edu/~arisbe/newbooks.htm#peirce_moore > <http://www.iupui.edu/%7Earisbe/newbooks.htm#peirce_moore> , but I don't have > it handy at the moment. The addition itself is there. You might also look > into the collection, edited by Moore, of essays on Peirce, _New Essays on > Peirce's Mathematical Philosophy_ > http://www.iupui.edu/~arisbe/newbooks.htm#moore > <http://www.iupui.edu/%7Earisbe/newbooks.htm#moore> > Other links for interested peirce-listers: > Peirce (1908), "Some Amazing Mazes (Conclusion), Explanation of Curiosity the > First", _The Monist_, v. 18, n. 3, pp. 416-64, see 463-4 for the addition. > Google link to p. 463: > https://books.google.com/books?id=CqsLAAAAIAAJ&pg=PA463 > <https://books.google.com/books?id=CqsLAAAAIAAJ&pg=PA463> > Oxford PDF of article: > http://monist.oxfordjournals.org/content/monist/18/3/416.full.pdf > <http://monist.oxfordjournals.org/content/monist/18/3/416.full.pdf> > Reprinted CP 4.594-642, see 642 for the addition. > > Best, Ben > On 2/22/2017 12:06 AM, Jeffrey Brian Downard wrote: > >> List, >> >> I've been trying to sort through the points Peirce is making about topology >> and the mathematical conception of continuity in the last lecture of RLT. In >> the attempts to trace the development of the ideas concerning the >> conceptions of continua, furcations and dimensions in his later works, I've >> been puzzled by some later remarks he makes about cyclical systems in "Some >> Amazing Mazes" (Monist, pp. 227-41, April 1908; CP 4.585-641). >> >> In a short addendum, Peirce indicates that he has, in the year since writing >> the paper, "taken a considerable stride toward the solution of the question >> of continuity, having at length clearly and minutely analyzed my own >> conception of a perfect continuum as well as that of an imperfect continuum, >> that is, a continuum having topical singularities, or places of lower >> dimensionality where it is interrupted or divides ." (CP, 4.642) >> >> Here is a passage that has caught my attention: >> >> Now if my definition of continuity involves the notion of immediate >> connection, and my definition of immediate connection involves the notion of >> time; and the notion of time involves that of continuity, I am falling into >> a circulus in definiendo . But on analyzing carefully the idea of Time, I >> find that to say it is continuous is just like saying that the atomic weight >> of oxygen is 16, meaning that that shall be the standard for all other >> atomic weights. The one asserts no more of Time than the other asserts >> concerning the atomic weight of oxygen; that is, just nothing at all. >> >> I'm wondering if anyone can explain in greater detail what Peirce is >> suggesting in this passage in making the comparison between the atomic >> weight of oxygen and the continuity of Time--or if anyone knows of clear >> reconstructions of what he is doing in the secondary literature? The claim >> that the continuity of our experience of time can serve as a kind of >> standard for measure is, I think, quite a remarkable suggestion. >> >> --Jeff >> >> Jeffrey Downard >> Associate Professor >> Department of Philosophy >> Northern Arizona University >> (o) 928 523-8354 >> ________________________________________ >> >> From: Jon Awbrey <[email protected]> <mailto:[email protected]> >> Sent: Wednesday, February 8, 2017 1:26 PM >> To: Peirce List >> Cc: Arisbe List >> Subject: [PEIRCE-L] Re: The Difference That Makes A Difference That Peirce >> Makes >> > > ----------------------------- > 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 . > > > >
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