Further up the road. "Provision of An Opponent Indefinite Correlate of an Individual Dual Relative with Coexistents !" "Lover-of-a woman of Paris, Madrid, London, NewYork....etc." (The intensional rephrasing "loved-by-x" doesn't seem to change the fundamentals) Jim W > Date: Thu, 5 Feb 2015 10:30:49 -0500 > From: [email protected] > To: [email protected]; [email protected] > Subject: Re: Peirce’s 1880 “Algebra Of Logic” Chapter 3 • Selection 2 > > Jim, List, > > Yes, 0 and \infty are symbols for falsehood and truth, whose extensions > are the empty set and the universe, respectively. It is only for > infinite sums and products that we need a theory of limits. > > In the language of lattices and partial orders, individuals and simples > would be called atoms and co-atoms, respectively, if I recall correctly. > > Regards, > > Jon > > On 2/4/2015 3:33 PM, Jim Willgoose wrote: > > Thanks Jon. I made a diagram to picture an (1) arbitrary x < A > > returning o and (2) an arbitrary x >/ a /returning 00. > > (fn. 16 refers to P's Boole article 1870 and calls this latter "1.") I > > realize you have much more complex numbers and calculations in mind. > > But the idea of an arbitrary next smaller or greater x allows one to > > define a manageable boundary. Peirce calls these "ideals." But for > > instance, given a time, space, or proof length constraint, thus a finite > > condition, I must specify what an actual individual and a simple will be. > > > > Jim W > > > > 1.) 0 <--x....( (A1) ) > > > > 2.) ((A1) (A2) (A3) (A4) (A5))....../a/ --> 00 > > > > > Date: Tue, 3 Feb 2015 08:48:22 -0500 > > > From: [email protected] > > > To: [email protected] > > > Subject: [PEIRCE-L] Peirce�s 1880 �Algebra Of Logic� Chapter 3 � > > Selection 2 > > > > > > Peircers, > > > > > > Here is the next selection from Peirce's chapter on relatives > > > in the 1880 Algebra of Logic, in which he defines the limiting > > > concepts of "individuals" and "simples". > > > > > > > > http://inquiryintoinquiry.com/2015/02/03/peirces-1880-algebra-of-logic-chapter-3-%E2%80%A2-selection-2/ > > > > > > 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
----------------------------- 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 .
