Ascendant is a DCZ difficulty entry and an offshoot of Illimitable Boundaries, described as the sum of all that was, is and ever will be, existing outside of subjugation and even its own authority. Now how can we define authority? It's simple: Authority is the ability to overwrite and supersede any statement X with any other statement Y. Ascendant is split into two sections: The Pendam and the Zilch. The Pendam is the transcendence part of Ascendant - A derivative of all concepts, postulates and axioms, with its true, uncollapsed form residing outside all of authority and qualia (such as quali experiences and whatnot). The Pendam is a structure defined using Branes, which is listed later down below. The Zilch is the Pandem's corresponding opposite, a cosmological void of pure nothingness and absence that ceases anything and everything in its path, acting as the universal authority part to Ascendant in the way that it overrides statements made against it. For the full description of this difficulty, please go into the project and go to the sprite labelled "description" Analysis: Pendam - unrestricted transcendence, possibility, recursion, and expansion. Zilch - unrestricted negation, selection, authority, and elimination. Ascendant - a meta-framework that governs both while claiming immunity from their limitations. 1) The Pandem The A-Z theorem establishes a hierarchy: Ra < Rb < Rc...Rz, where each reality transcends, explains and encompasses the previous one €(1) = one A-Z hierarchy. €(2) = two complete A-Z hierarchies. €(3) = four complete hierarchies. etc. The text describes a doubling process of 2^n Branes are the true "engines" of Pendam. A Brane is defined as a membrane capable of simulating infinite €(n) structures, A-Z systems, and infinite variations of those systems. Pendam represents unrestricted possibility, recursion, transcendence, and emergence. 2) The Zilch Where Pendam expands possibilities, Zilch reduces possibilities. Given X and Y, The Zilch will select either one, leaving the other to dissolve. Unlike classical logic, both propositions cannot coexist indefinitely, and contradiction cannot remain unresolved. The system forces a winner. Authority is the ability to overwrite statement X with statement Y. 3) Ascendant itself Ascendant is intended to be the synthesis. Pendam = possibility. Zilch = authority. Ascendant = possibility plus authority. Ascendant evaluates statements using three tests, which are the following: Criterion 1: "Does the sentence avoid self-reference?" This rejects paradoxes like "This statement is false." Criterion 2: "Is the sentence non-contradictory?" This rejects logical inconsistency. Criterion 3: "Can the sentence be transcended?" This is the most interesting criterion. If something can be transcended, then it is rejected. This means Ascendant seeks statements that are non-self-referential, non-contradictory and impossible to surpass. 4) Overall It can all be summarized as the following Layer 1: Pendam - Infinite escalation, where everything grows beyond itself. Layer 2: Zilch - Infinite reduction, where everything is judged and collapsed. Layer 3: Ascendant - a meta-principle attempting to regulate both escalation and reduction while remaining immune to either.
Song: ᶤﻮα?Eᑎ? Ǘภ???ˢ. by Lexip Note: Whenever we talk about reality, we'd go for the limit of its qualia, and it functions in a way where we start a new reality on the same level from where we left the previous reality off (so the end of one reality is the beginning of the next one). Even the lowest of qualia in one reality transcends and explains all qualia in the previous one. Note that all qualia in each reality is collapsed, and not the real thing. Each reality has its own unique qualia, for example: One reality may have all qualia of living, while another reality will have all qualia about thinking.