Chapter 73: Four Paradoxes as 2
the relevant chapter diagnosed incompleteness and undecidability as E₂ boundary phenomena. the relevant chapter lifted the vantage point to E₃, where the derivation system becomes an object of study. This chapter unifies both perspectives. Cantor’s diagonal argument, Russell’s paradox, G"odel’s incompleteness sentence, and Turing’s halting problem are diagnosed as four instances of a single phenomenon: an E₂ object attempting an operation that requires E₃ self-modelling. Each paradox is the error message produced when the boundary is crossed.