Jim, Jerry, List, http://intersci.ss.uci.edu/wiki/index.php/Peirce%27s_1870_Logic_Of_Relatives
Regards, Jon http://inquiryintoinquiry.com > On Feb 14, 2015, at 2:54 PM, Jim Willgoose <[email protected]> wrote: > > Jon, > > I looked at the notation from DNLR. (1870) Peirce uses small letters for > generals and capital letters for individuals. > The small case "a" is understood as "every a." So, the expression: > > a= A1 + A2 + A3 + A4 + A5.....etc. would be understood as the logical sum of > individuals with (should-be subscript) representing the cardinal number. > (either one or two or three individuals etc.) This use of small and Capital > letters is similar to Boole. Peirce gives a key in 1870 where absolute terms > are: > > f-frenchman > h-horse > t-tree > > and so on. They are absolute terms that denote individuals (or non-relatives > if you prefer) The size is measured by the subscript number. (the "+" could > be reinterpreted as numerical sum with subscripts functioning as names plus a > counting rule) > > f,h,t denote a frenchman. a horse, a tree etc. > > Now what is interesting is that a degenerate relation a:a would assign > "every a to every a" thus setting up a universal class by assigning > individual A's to each other. So, there is generality here. > > Jim
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