19,173
edits
On the Origins and Nature of the Dark Calculus: Difference between revisions
Jump to navigation
Jump to search
On the Origins and Nature of the Dark Calculus (view source)
Revision as of 02:36, 19 January 2024
, 19 JanuaryUpdated by egocarib with game version 2.0.206.57 using QBE v1.0rc2
(Created page with "{{stub}} '''{{Color | W | On the Origins and Nature of the Dark Calculus}}''' is a book. == Contents == {{Quote | {{Color | C | Editor's note: this excerpt is published wit...") |
Trashmonks (talk | contribs) |
||
| (22 intermediate revisions by 6 users not shown) | |||
| Line 1: | Line 1: | ||
{{ | <!-- START QBE: Autogenerated section - please leave this marker. See the [[QBE]] page for more information. --> | ||
{{Item | |||
| title = {{Qud text|{{Qud shader|W|{{(}}On the Origins and Nature of the Dark Calculus{{)}}}}}} | |||
| image = on the origins and nature of the dark calculus.png | |||
| weight = 1 | |||
| featureweightinfo = yes | |||
| commerce = 300 | |||
| id = DarkCalculus | |||
| colorstr = &K | |||
| tilecolors = KC | |||
| renderstr = = | |||
| inheritingfrom = Book | |||
| dynamictable = {{Dynamic object|Items|DarkCalculus}} | |||
| supportedmods = BookMods | |||
| desc = A sheaf of lined, blue paper sewn together with silk thread. | |||
| categories = Books | |||
| gameversion = 2.0.206.57 | |||
}} | |||
<!-- END QBE --> | |||
{{name}} is a [[book]]. Its covers are black with a light blue stripe. Its contents describe "dark calculus" or "penumbra calculus", a mysterious formal system where theorems proven using it immediately become false upon proof. This is a contrapositive version of [https://en.wikipedia.org/wiki/Umbral_calculus umbral calculus] from the mid 1900s, where proofs that supposedly cannot be true for determining the identity for polynomial equations resulted in the correct identities anyway. "Penumbra" in this case means "Partial darkness". | |||
==Summary== | |||
{{speculation|section}} | |||
{| style="float:right;border:solid;width:30%;margin:1em" | |||
| style="padding:1em;" | <b>Formal Systems</b> | |||
Formal systems are usually a representation of an abstract concept. For example, [https://en.wikipedia.org/wiki/Propositional_calculus propositional calculus] is a formal system that focuses on logic. If P is true, then Q is true. P is true, therfore Q is true. "If", "Then", and "Therefore" are represented by symbols defined by propositional calculus. | |||
<math>1. P \rightarrow Q</math></br> | |||
<math>2. P</math> </br> | |||
<hr> | |||
<math>\therefore Q</math> | |||
|} | |||
A theorist from the seminary the Cupola formulated the basic concept of the dark calculus. It became a full fledged formal system, which defines the grammar, symbols, and set of rules to derive further concepts and theorems. | |||
In mathematics, a theorem is a sort of statement about how the universe functions and must be proven with proofs. Proofs are essentially the step by step guide to how the theorem works. In this case, some theories proven using dark calculus will become false once the proofs are complete. With this discovery, systems based off of dark calculus were created and even more fragile, some making theorems false upon even the proposition (Assume ____ is true). | |||
Because the proofs must be in some observable state in order to be made false, some theorists predicted that there is some level of self-awareness to the dark calculus. They created a complex computer system for use of dark calculus and launched it into space to prevent any outside observation. The results of their research are unknown, but caused the use of the dark calculus and all related formal systems to be strictly prohibited. The opinion was unanimous, including Ptoh, who agreed by imploding a research station. Most records surrounding the dark calculus have been or attempted to have been removed from written history. | |||
== Contents == | == Contents == | ||
{{ | {{Book Page|&CEditor's note: this excerpt is published with permission from the notes of Barathrum the Old. | ||
There's evidence in the arithmetic record that the study of formal systems reached a pernicious apex in the Long Before. Advancements made by mathematicians such as Russell, Gödel, Eisencruft, Atufu, Wheatgrass, and System Star contributed to the understanding of notions like undecidability, pointed regularism, and abyssalism. Upon reaching this minimal degree of mathematical maturity, equipped with sophisticated grammars, researchers set out to experiment with the limits of expressibility. They contrived bold research programs and galloped into the mathematical wood, unwitting of the dangers that brood there. | There's evidence in the arithmetic record that the study of formal systems reached a pernicious apex in the Long Before. Advancements made by mathematicians such as Russell, Gödel, Eisencruft, Atufu, Wheatgrass, and System Star contributed to the understanding of notions like undecidability, pointed regularism, and abyssalism. Upon reaching this minimal degree of mathematical maturity, equipped with sophisticated grammars, researchers set out to experiment with the limits of expressibility. They contrived bold research programs and galloped into the mathematical wood, unwitting of the dangers that brood there. | ||
| Line 16: | Line 52: | ||
Peculiarly, support for the injunction was unanimous. Of note, even the spacefolder Ptoh agreed to abandon its investigation into the forbidden calculi from the reaches of its bleak star. Though the manner of its consent was not without controversy; to announce its accord, it inverted the color charge of quarks in a small region of space, causing a research station to collapse in on itself. Nonetheless, Ptoh's consent is testament to the degree of existential anxiety that could cause investigation into the penumbra calculus to go dark.}} | Peculiarly, support for the injunction was unanimous. Of note, even the spacefolder Ptoh agreed to abandon its investigation into the forbidden calculi from the reaches of its bleak star. Though the manner of its consent was not without controversy; to announce its accord, it inverted the color charge of quarks in a small region of space, causing a research station to collapse in on itself. Nonetheless, Ptoh's consent is testament to the degree of existential anxiety that could cause investigation into the penumbra calculus to go dark.}} | ||