Hello Jon, list (puzzle below for experts) I got blown well downwind into conjugacy classes with the 1880 AOL ch. 3. At the time, I was trying to make sense of the continuity of ch.3 with the previous chapters and also the forward historical development of relation logic. I was struck by the questions what am i counting and combining and how many objects are there? Logic, in one sense, got lost somehow. Recently it occurred to me that there are only two objects. But the thread ran out of gas, as far as I am concerned, not only for lack of interest, but for the fact that there never was a satisfactory explanation of the following: W4 p.198 I + J + K = 1 + L + M but does not imply (I + J + K)l = (1 + L + M)l Why? What does this mean? Jim W > Date: Thu, 18 Jun 2015 10:15:35 -0400 > From: jawbrey@att.netii > To: peirce-l@list.iupui.edu > Subject: [PEIRCE-L] Survey of Relation Theory • 1 > > Post : Survey of Relation Theory • 1 > http://inquiryintoinquiry.com/2015/05/16/survey-of-relation-theory-%e2%80%a2-1/ > > Peircers, > > A couple of off-list exchanges prompts me to post this Survey > of previous contributions and discussions on relation theory. > > In this Survey of previous blog and wiki posts on Relation Theory, relations > are viewed > from the perspective of combinatorics, in other words, as a topic in discrete > mathematics, > with special attention to finite structures and concrete set-theoretic > constructions, many > of which arise quite naturally in applications. This approach to relation > theory, or the > theory of relations, is distinguished from, though closely related to, its > study from the > perspectives of abstract algebra on the one hand and formal logic on the > other. > > Elements > ======== > > * Relation Theory > ( http://intersci.ss.uci.edu/wiki/index.php/Relation_theory ) > > Relational Concepts > =================== > > * Relation Construction > ( http://intersci.ss.uci.edu/wiki/index.php/Relation_construction ) > > * Relation Composition > ( http://intersci.ss.uci.edu/wiki/index.php/Relation_composition ) > > * Relation Reduction > ( http://intersci.ss.uci.edu/wiki/index.php/Relation_reduction ) > > * Relative Term > ( http://intersci.ss.uci.edu/wiki/index.php/Relative_term ) > > * Sign Relation > ( http://intersci.ss.uci.edu/wiki/index.php/Sign_relation ) > > * Triadic Relation > ( http://intersci.ss.uci.edu/wiki/index.php/Triadic_relation ) > > * Logic of Relatives > ( http://intersci.ss.uci.edu/wiki/index.php/Logic_of_relatives ) > > * Hypostatic Abstraction > ( http://intersci.ss.uci.edu/wiki/index.php/Hypostatic_abstraction ) > > * Continuous Predicate > ( http://intersci.ss.uci.edu/wiki/index.php/Continuous_predicate ) > > Blog Dialogs > ============ > > * Relations & Their Relatives > ( http://inquiryintoinquiry.com/2015/02/17/relations-their-relatives-1/ ) > { http://inquiryintoinquiry.com/2015/02/17/relations-their-relatives-2/ ) > ( http://inquiryintoinquiry.com/2015/02/18/relations-their-relatives-3/ ) > ( http://inquiryintoinquiry.com/2015/02/27/relations-their-relatives-4/ ) > ( http://inquiryintoinquiry.com/2015/03/04/relations-their-relatives-5/ ) > { http://inquiryintoinquiry.com/2015/03/05/relations-their-relatives-6/ ) > ( http://inquiryintoinquiry.com/2015/03/19/relations-their-relatives-7/ ) > ( http://inquiryintoinquiry.com/2015/03/22/relations-their-relatives-8/ ) > > Resources > ========= > > * Peirce's 1870 Logic Of Relatives > ( > http://intersci.ss.uci.edu/wiki/index.php/Peirce%27s_1870_Logic_Of_Relatives ) > > Regards, > > Jon > > -- > > 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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