Thanks Jon. I put integers to each of the nine dual relatives in the first three columns and rows. (in Bold print) I then rotated the block left 90 degrees three times. Crease the diagonals <357> <753>, tack down the 4 corners <3333>, and pull the apex <7777> straight up into a pyramid. Voila! This method seemed more efficient conceptually than the previous. 3 6 9 1 2 3 2 5 8 4 5 6 1 4 7 7 8 9 9 8 7 7 4 1 6 5 4 8 5 2 3 2 1 9 6 3 I had a further question about some word examples. Peirce seems to roll the relate into the relative term such that the number of places is short one. For instance, "buyer of a ----- for-----from------" appears to count the number of correlates only. I bring this up since the relate symbol ":" usually has a letter attached on the left side. Small issue though. In any case, matrices seem to be a way, if not the predominant way to introduce abstract algebra. I appreciate your keepng this thread alive . Jim W Jim W > Date: Wed, 11 Feb 2015 22:12:23 -0500 > From: jawb...@att.net > To: peirce-l@list.iupui.edu > Subject: [PEIRCE-L] Peirce's 1880 “Algebra Of Logic” Chapter 3 • Selection 3 > > Post : Peirce's 1880 “Algebra Of Logic” Chapter 3 • Selection 3 > http://inquiryintoinquiry.com/2015/02/11/peirces-1880-algebra-of-logic-chapter-3-%e2%80%a2-selection-3/ > Posted : February 11, 2015 at 10:00 pm > > Chapter 3. The Logic of Relatives (cont.) > > §2. Relatives > > 218. A relative is term whose definition describes what sort of a system of > objects that is whose first member (which > is termed the ''relate'') is denoted by the term; and names for the other > members of the system (which are termed the > ''correlates'') are usually appended to limit the denotation still further. > In these systems the order of the members > is essential; so that (A, B, C) and (A, C, B) are different systems. As an > example of a relative, take ‘buyer of ── > for ── from ── ’; we may append to this three correlates, thus ‘buyer of > every horse of a certain description in the > market for a good price from its owner’. > > 219. A relative of only one correlate, so that the system it supposes is a > pair, may be called a ''dual'' relative; a > relative of more than one correlate may be called ''plural''; A non-relative > term may be called a term of ''singular > reference''. > > References > > * Peirce, C.S. (1880), “On the Algebra of Logic”, American Journal of > Mathematics 3, 15–57. Collected Papers (CP > 3.154–251), Chronological Edition (CE 4, 163–209). > > * Peirce, C.S., Collected Papers of Charles Sanders Peirce, vols. 1–6, > Charles Hartshorne and Paul Weiss (eds.), vols. > 7–8, Arthur W. Burks (ed.), Harvard University Press, Cambridge, MA, > 1931–1935, 1958. Volume 3 : Exact Logic, 1933. > > * Peirce, C.S., Writings of Charles S. Peirce : A Chronological Edition, > Peirce Edition Project (eds.), Indiana > University Press, Bloomington and Indianapolis, IN, 1981–. Volume 4 > (1879–1884), 1986. > > Add a comment to this post: > http://inquiryintoinquiry.com/2015/02/11/peirces-1880-algebra-of-logic-chapter-3-%e2%80%a2-selection-3/#respond > > -- > > academia: http://independent.academia.edu/JonAwbrey > my word press blog: http://inquiryintoinquiry.com/ > inquiry list: http://stderr.org/pipermail/inquiry/ > isw: http://intersci.ss.uci.edu/wiki/index.php/JLA > oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey > facebook page: https://www.facebook.com/JonnyCache
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