[CG] Re: Operator Variables in Logical Graphs

Operator Variables in Logical Graphs • 8 • https://inquiryintoinquiry.com/2024/04/16/operator-variables-in-logical-gra… Re: Operator Variables in Logical Graphs • 7 • https://inquiryintoinquiry.com/2024/04/15/operator-variables-in-logical-gra… A trick of discovery I learned by observing Peirce's working methods, more than anything he wrote outright, might be put in the following words. • Take what is constant, Treat it as variable, See if anything remains the same. The step of controlled reflection we took with the previous post can be repeated at will, as suggested by the following series of forms. Figure 12. Reflective Series (a) to (a, b, c, d) • https://inquiryintoinquiry.com/wp-content/uploads/2019/07/reflective-series… Written inline, we have the series “(a)”, “(a , b)”, “(a , b , c)”, “(a , b , c , d)”, and so on, whose general form is “(x₁ , x₂ , … , xₖ)”. With this move we have passed beyond the graph-theoretical form of rooted trees to what graph theorists know as “rooted cacti”. I will discuss this “cactus language” and its logical interpretations next. Regards, Jon cc: https://www.academia.edu/community/5RE3W0 cc: https://mathstodon.xyz/@Inquiry/112225263055943815