Axiomatic Oversaturation (EternalReset!HNM Super Form Infinity)

Instructions

Kind of rushed, i know, but still Yes, i know i skipped all the super phases, but that's cause i wanna hurry up a bit, past the hyper forms and past ultra forms Analysis Level: 6 - ☠ CATASTROPHIC ☠ Rigor Level: 15 - Misanthropic Estimated time to surpass: ~5 Weeks Definition: Before we do so, here's a function that was the reason for the name of this project A(n), the axiom saturation function Here's how we define it: A(n) is defined as so: A set of axioms proving the existence of higher rank TL3 referential systems within [v]verifiable realms, where n is the amount of axioms used. F(n) is the conceptual framework level for both A and n. N = |A(A(n))|, where A(A(n)) is the cardinality of the set of the amount of axioms required to define the form n The form n is considered saturated if | A(n) | ∉ F(n). A(n) then comes in to solve the saturation of n, being the point at which the form's definition collapses its own framework due to axiomatic overload, with A(n) being the concept created via the self-resolution of said collapse. Now that we got that out of the way, introduce A_x(n) A_1(n) = A(n) A_x(n) = A_x-1(A_x-1A_x-1...x times...A_x-1(A_x-1(n)...)) Afterwards, we introduce a THIRD level: A_x(n)_y A_x(n)_1 = A_x(n) A_x(n)_2 = A_x((n)) = A_x(A_x(n)) A_x(n)_y = A_x(...A_x(n)_y-1 brackets later...(n)...A_x(n)_y-1 brackets later...) You thought that was crazy enough, wait till you hear about A_w(x,y,z) Simply put: A_1(x,y,z) = A_x(z)_y A_w(x,y,z) = A_w-1(A_w-1...A_w-1(x,y,z) times...A_w-1(x,y,z)) X is the amount of axioms used Y is the amount of referential dimensions used to contain these axioms Z is the amount of postulates required to define said referential dimensions that contain these axioms And now, for the final function A_w(x,y,z)_Ω A_w(x,y,z)_1 = A_w(x,y,z) A_w(x,y,z)_2 = A_(A_w(x,y,z))((A_w(x,y,z)),(A_w(x,y,z)),(A_w(x,y,z))) A_w(x,y,z)_Ω = A_(A_w(x,y,z)_Ω-1)((A_w(x,y,z)_Ω-1),(A_w(x,y,z)_Ω-1),(A_w(x,y,z)_Ω-1)) Analysis: HNM's axiomatic oversaturation form is analyzed as the least inaccessible form beyond any and all measures of the axiom saturation function used to define it, making it fundamentally beyond any and all real life axioms we try to use on it. A form defined as being the only concept inexpressible via a function denoting the amount of statements to verify a thing's existence, in all the function's forms.