(Skip the banter, and read the start of the document below, will ya?)
Okay, so, remember the idea I had for Lil Puss mode to have hidden books that explain each subject in comprehensive detail?
(By the way, you didn't do multiple things, like have Mr. Mix include no subtitles or missing letters, or hide added secrets, because onion memes are everywhere now, and if anything, nobody can take the B (RF transition) seriously anymore.)
Well, I've started on a comprehensive document about mathematics. I just couldn't help showing the early stages of it to you peeps. After typing all of this stuff, I've finally gotten around to the basics of explaining binary. (Seems like being a logician just makes you talk more and more about everything, but hey...at least I didn't miss ANYTHING out. This is what you would show somebody who's learning about reality and takes everything at face value.)
There's a good reason mathematics are and should be everybody's favourite subject. First of all, Baldi knows best. Secondly, it is literally a product of logic. Reality is unpredictable, with lots of arbitrary explanations and parameters, but explaining mathematics, the foundation of reality, requires only the barest of vessels to possess, to understand it with.
Best of all, you are going to get this useful book about mathematics FOR FREE. Because informative content should be free, and not put behind a price tag or the doors of a bookstore. Also, although it's a completely formal document, there are some random parts that will make you wheeze, like this one:
("Two" will be explained later.)
when this gets added, a whole 1% of playtime will be spent on reading this :D
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A Compendium of Mathematical Knowledge
By Viktor H. Strobovski FireyDeath4𝐼 𝒲𝐼𝐿𝐿 𝒩𝒪𝒯 𝒲𝒪𝑅𝒮𝐻𝐼𝒫 𝒜 𝒲𝒜𝒯𝒞𝐻𝐸𝑅 𝒲𝐻𝒪 𝒱𝒜𝒩𝒟𝒜𝐿𝐼𝒮𝐸𝒮 𝐼𝒩 𝑀𝒴 𝐵𝒪𝒪𝒦! says the guy who canonically worships memes
Defining values
Everything in existence has a fundamental structure, a composition of units. This is called mathematics. The most basic units of mathematical existence are called values.
There are two different types of values. The more basic type of value is called a bit. This is the most basic and essential form of distinction between entities. Bits can have two possible values, which there are multiple but no accurate, universal names for. ("Two" will be explained later.) They are commonly associated with the comparisons: "on/off" (in mechanical activity), "true/false" (in logic), and "yes/no" (in interrogation). Generally, they can be considered "active" or "dormant".
The other type of value is called a number. Numbers are variant to the highest possible extent, which is called infinity, while bits are variant to the lowest possible extent. Thus, numbers have infinite possible values. These values are first measured and defined using integers. To put it simply, and to explain what the numerical form of a bit would be, an integer is the range between the two possible values of a bit. Although this is not a strict and absolute rule, most sentient mathematical entities have agreed that this is the standard translation of a bit, and there are more reasons for this than against it. With integers, this range can be reached at either end of the boundary of a bit, meaning that numbers can have values greater or lesser than the possible values of a bit.
Values abide by basic laws of logic and validity, chiefly the commutativity of equality. This is because if self-equality was not commutative, equality would be identical to inequality, meaning that there would be no distinction between entities. This only occurs in nonexistence, which mathematics are not, as they define and are identical to existence. Keep in mind that understanding values themselves requires mental intuition where necessary, as they can only be explained using examples, which are self-referential, and of no help.
Defining numbers
The value of a number can be defined as a point, positioned at the value of the number in number space. Integers ranging from "dormant" to infinity can be expressed by using vessels to possess them. The most general form of vessel converts each bit within the integer to a point, places them in an arranged collection, and expresses the integer as the sum of the amount of points in the collection. This effect is expressed in Figure 1.
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Figure 1. The usage of points in a collection to express an integer through each bit it contains.
It is common for sentient mathematical entities to use more complex and arbitrary vessels to represent the points, such as physical objects, like counters. However, if there are any other possible states, including a lack of points at specific places in the arrangement, giving the points irregular spacing, representing each bit as a point is the least optimal way to express the integer. Instead of representing each individual bit as a point, bits can be divided into groups, and the groups can be represented as points. Following the two integers where dormancy and activity are, a group can be begun, where the following number has two different bits, one signifying that it is in a group, and one signifying its value relative to the group. Each group can be represented as a bit, which will be contained by a larger group ad infinitum. The arrangement can then have identifiable places where points can be present or absent, use a present point as a reference for where the integer begins (at dormancy), and then use the places to express the dormancy and activity of each group.
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Figure 2. The usage of points in a collection to express an integer through groups of bits, represented as extra bits.
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(Note: I'm not even going to call numbers by their English names until I get around to explaining the rest of number bases, and the Hindu-Arabic number system. Then we'll finally get around to basic arithmetic, and a bunch of hyperoperations and other operations. AEWVS has so much potential other than for doing brain training and making a meme of itself, REMEMBER THAT.)