Jon, list
m i j<1,1> / A1 / + 1 / A2 /
i j <1,2> / A2/ + 1 /A3 /
i j <1,3> /A3 / + 1.........etc. Our old friend "a" and her
denotation..:)
😊
Jim W
> Date: Mon, 16 Feb 2015 11:00:06 -0500
> From: [email protected]
> To: [email protected]
> Subject: [PEIRCE-L] Peirce's 1880 “Algebra Of Logic” Chapter 3 • Selection 6
>
> Post : Peirce's 1880 “Algebra Of Logic” Chapter 3 • Selection 6
> http://inquiryintoinquiry.com/2015/02/16/peirces-1880-algebra-of-logic-chapter-3-%e2%80%a2-selection-6/
> Posted : February 16, 2015 at 10:30 am
>
> Peircers,
>
> As long as I've got the WordPress warmed up,
> I might as well post the last paragraph of
> the present section, CP 3.222. And then
> I think it's probably time to balance,
> or ballast, these flighty abstractions
> with a few bags of concrete examples.
>
> Regards,
>
> Jon
>
> <blockquote>
>
> Chapter 3. The Logic of Relatives (cont.)
>
> §2. Relatives (concl.)
>
> 222. Instead of considering the system of a relative as consisting
> of non-relative individuals, we may conceive of it as consisting of
> relative individuals. Thus, since
>
> A = A:A + A:B + A:C + A:D + etc.,
>
> we have
>
> A:B = (A:A):B + (A:B):B + (A:C):B + (A:D):B + etc.
>
> But
>
> B = B:A + B:B + B:C + B:D + etc.;
>
> so that
>
> A:B = A:(B:A) + A:(B:B) + A:(B:C) + A:(B:D) + etc.
>
> </blockquote>
>
> 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.
>
> Resources
>
> • Peirce’s 1870 Logic Of Relatives
> http://intersci.ss.uci.edu/wiki/index.php/Peirce%27s_1870_Logic_Of_Relatives
>
> --
>
> academia: http://independent.academia.edu/JonAwbrey
> my word press blog: http://inquiryintoinquiry.com/
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