[CG] Re: Operator Variables in Logical Graphs

Operator Variables in Logical Graphs • 4 • https://inquiryintoinquiry.com/2024/04/11/operator-variables-in-logical-gra… Re: Operator Variables in Logical Graphs • 3 • https://inquiryintoinquiry.com/2024/04/10/operator-variables-in-logical-gra… All, Last time we contemplated the penultimately simple algebraic expression “(a}” as a name for a set of arithmetic expressions, specifically, (a) = {(), (())}, taking the equal sign in the appropriate sense. Figure 6. Cactus Graph Equation (a) = {(),(())} • https://inquiryintoinquiry.com/wp-content/uploads/2019/07/box-a-1.jpg Then we asked the corresponding question about the operator “( )”. The above set of arithmetic expressions is what it means to contemplate the absence or presence of the arithmetic constant “( )” in the place of the operand “a” in the algebraic expression “(a)”. But what would it mean to contemplate the absence or presence of the operator “( )” in the algebraic expression “(a)”? Evidently, a variation between the absence and the presence of the operator “( )” in the algebraic expression “(a)” refers to a variation between the algebraic expression “a” and the algebraic expression “(a)”, somewhat as pictured below. Figure 7. Cactus Graph Equation ¿a? = {a,(a)} • https://inquiryintoinquiry.com/wp-content/uploads/2019/07/box-a-queaa.jpg But how shall we signify such variations in a coherent calculus? Regards, Jon cc: https://www.academia.edu/community/54EBRm cc: https://mathstodon.xyz/@Inquiry/112225263055943815