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Tiering System: Difference between revisions
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===Pythagoreanism's philosophy of the ''mathēmatikoi''=== | ===Pythagoreanism's philosophy of the ''mathēmatikoi''=== | ||
Similar to Platonism, this needs to be directly noted to be what the verse runs under. It cannot be merely Pythagoreanism alone existing within the verse but the mathēmatikoi' philosophy of it as the [https://en.wikipedia.org/wiki/Pythagoreanism#The_akousmatikoi akousmatikoi philosophy of it refuses to recognize mathematics and the mathēmatikoi' philosophers beliefs]. The way for a character to get '''1-A''' from this is similar to the way a character would need to get '''1-A''' from the mathematical multiverse. | Similar to Platonism, this needs to be directly noted to be what the verse runs under. It cannot be merely Pythagoreanism alone existing within the verse but the mathēmatikoi' philosophy of it as the [https://en.wikipedia.org/wiki/Pythagoreanism#The_akousmatikoi akousmatikoi philosophy of it refuses to recognize mathematics and the mathēmatikoi' philosophers beliefs]. The way for a character to get '''1-A''' from this is similar to the way a character would need to get '''1-A''' from the mathematical multiverse. | ||
==High 1-A Criteria== | |||
As '''High 1-A''' deals with absolute infinity, a concept extremely hard to sufficiently prove, there are many criteria one must pass in order to be given '''High 1-A'''. The criteria are as follows: | |||
#The character in question must fully transcend mathematical quantification on a conceptual level. Any statements used to prove such a level of transcendence must be thorough and/or clear enough to warrant the High 1-A tiering, otherwise it will be used as proof of a lower tier. | |||
#The verse in question must acknowledge the existence of [[Infinity|higher infinities]]. It's easy for an author to claim a character they created transcends math while only considering the first level of infinity. | |||
#The character in question must be fully transcendent in all aspects of their being, not just in regard to their power. If they meet the requirement to be assigned High 1-A based on their power, but are surpassed in other aspects by other characters, they are not in a true state of transcendence and thus cannot fully qualify for the tier. In this case, 1-A would be an acceptable alternative. | |||
#The character in question must have 100% consistency with their portrayal with no outliers whatsoever. They must consistently be portrayed as the supreme deity of their verse whose existence is completely inaccessible, only being revealed to lower characters when they choose to be. | |||
#The character in question must be formless and impossible to comprehend. It must be clear that any physical manifestations of the character in question are merely avatars used to interact with their verse. | |||
#If the character in question started out as a lower tier and reaches High 1-A later on in the story, it must be clear that such a shift in tier irreparably changes their state of being to a point where they no longer conventionally exist as the character they used to be. Additionally, due to the atemporal nature of High 1-A, the character in question must have always existed in their High 1-A state, with the process of their lower state of existence "reaching" such a tier just being ultimately inconsequential and only being used as a narrative device to keep a sense of causality. | |||
#If a verse somehow has multiple High 1-A characters, it must be clear that they are incomparable to each other. Any direct conflict between two such characters would most likely result in them being placed at a lower tier where it makes sense for them to be able to oppose one another. | |||
==<u>Additional terms</u>== | ==<u>Additional terms</u>== |
Revision as of 08:10, 24 April 2024
What is a tiering system?
A tiering system is essentially a way of labeling something in accordance to a predefined set of criteria. In the case for this wiki, it's a hierarchal system of power to display what level of power a character is at. Tiering can help with setting an organized state at where a character can go. Though it should be known at the end of the day all of these things are ultimately hypothetical and merely an educated guess of where a character will lie.
Explanation
Our tiering system is based on the scalar quantity of energy (Joules), which means we measure the strength of feats, sometimes doing calculations. Once reaching into Tier 1 we get into levels of infinity. This considers the multiverse size extends to higher transfinites, instead of merely High 2-A being the limit.
Since human characters are the most prevalent throughout all of fiction and we understand the energy levels in the standard universe and the standard multiverse (due to existing in it), the power of the standard universe is split into many levels encompassing the majority of this system. This ranges on the Tier 10-Tier 2.
After going beyond these levels, it extends into the levels of infinity. The scale culminates in characters levels of infinity. All possible levels of power are included within our tiering system due to the lower/higher/transcendent infinity ratios being as broad as they are.
In most cases, tier 11 is a mostly unused tier as there's rarely characters weaker then a single particle or planck scale.. Though in some cases an author will use have a reality even below our physical world, and thus that would be tier 11.
To add on, dimensions are not considered as higher planes of reality or higher infinities by default, however destroying an entire universal space-time is considered enough of a boost to reach to Tier 2, to explain with simplicity, imagining the universe as an infinite sized object that curves back on itself and forms a bubble, space-time itself would be the entirety of the bubble itself, while tier 3 and below would be destroying whatever contents exist within the bubble, obviously it would be more impressive to destroy the bubble in it's entirety then merely the contents within it, with space-time containing an innumerable amount of "snapshots" of the universe, essentially holding an uncountable number of snapshots of space. Tier 1 fully has to deal with levels of infinity.
Important Information
- While for most tiers, taking hits and harming a higher tier (I.E. a 7-C harming someone and them tanking it and harming the 7-C) would grant the other person the tier, in the case of 10-C to lower 9-B, it's a different scenario. Tier 10 characters do not have that large of joule differences, making feats such as a 10-C surviving hits from a 10-A realistic and doesn't turn the 10-C into 10-A. This can also be the case for a 10-C surviving hits from a 9-C, though the 9-C is more likely to kill them. Along with this, while 9-B attacks are lethal to tier 10s, they can still survive the attacks without directly tanking them and harm characters at lower levels of 9-B. Thus the typical Powerscaling rules don't apply for them.
- To add on to this, fighting animal feats should be fully analyzed. This is due to the fact that regular humans in real life can train with and fend off animals, such as bears, without them being 9-B themselves.
- Do note that having theories such as String theory does not give a higher tier cosmology. In the standard models of string theory the dimensions are compact to an extremely small scale.
- Do also note that concepts such as platonic concepts are not any tier. Platonic Concepts are concepts, which are not tangible or tierable and thus they have no place on the tiering system.
- The reason dimensional tiering is not used for the tiering system is because higher spatial dimensions aren't inherently higher levels of infinity but rather different axis from the 3rd dimension. They do not grant a higher level of tier or Attack Potency, rather just extra abilities that come with Higher-Dimensional Existence.
- As noted above, affecting spatial-temporal realities still apply due to how what one is essentially affecting as a whole.
- Please do also note the destruction of something does not equate to its namesake. While destroying a city can be city level there are times where it could be higher or lower depending on the method of destruction. A normal example of this is when someone says they destroyed a city but what they meant was systematically laid out explosives all over the city, or systematically destroyed portions of the city overtime themself.
- Being stronger than a 2-C or your previous 2-C form does not grant you 2-B alone. It is impossible to quantify the numerical gap between each one of the subtiers in Tier 2 due to the distance between any given number of universes is currently unknowable, along with this, we cannot gauge the actual energy required to reach any of these levels, so it would be impossible to give set tiers through strength growth. This also goes for being "infinitely" stronger then 2-C too, that does not grant you High 2-A. The same with a 2-A being infinitely stronger. As we merely only know that 2-C and higher levels of energy are ridiculously high levels of energy we have no way of quantifying. With "infinitely stronger" being meaningless in most cases, referring to one constantly growing in strength, or in most cases being said from the perspective of someone far lower in power then them.
The Tiers
Tier 11: Lowest Energy Scales
At this state characters exist in extremely low energy levels. At some levels not being able to be properly described.
11-C: Absolute Zero
The characters in question are so inconceivably low that they reach zero energy. A normal idea of this are massless particles who have 0 energy at rest. These characters are also normally nonexistent ideals or things that do not or cannot exist in conventional reality. This also refers to the freezing point Absolute Zero, a state where it hits the lowest possible temperature, having zero energy.
11-B: Planck level
The characters in question characters that have energy levels so low where they reach a Planck scale or below. Characters that exist in lower fictional worlds can apply for this since they essentially are in a state of having indescribable energy seen as nonexistent in reality.
11-A: Particle level
The characters in question has energy levels comparable to a single particle.
Tier 10: Regular
The common humans of the real world.
10-C: Below Average Human level
Characters who are physically impaired beings or small animals. They tend to be depicted as the child character in a fictional verse or have an immense sickness that causes their body to be far weaker than the average human.
10-B: Average Human level
Characters who are comparable to or just exist as a normal human. These characters could have some significant feats to them but overall have a normal average standout to them that any other human has.
10-A: Athlete level
Characters who are proficient in sports and other forms of physical exercise, these are mostly characters from action movies.
Tier 9: Superhuman
9-C: Peak Human level
Peak Humans to Low Superhuman. Few physically very strong Olympic level athletes and martial artists in real life. Most protagonists and final villains from action/martial arts movies. Large animals.
9-B: Wall level
Characters/Weapons who can destroy a wall, or those who can easily harm characters with wall level durability. Very large animals.
9-A: Room level
Characters/Weapons who can destroy a room, or those who can easily harm characters with room level durability. Extremely large animals.
Tier 8: Urban
8-C: Building level
- Small Building level ("Low 8-C"): Characters/Weapons who can destroy a small building level, typically a typical residential house, or those who can easily harm characters with small building level durability.
- Building level ("8-C"): Characters/Weapons who can destroy a building, typically a typical commercial building, or those who can easily harm characters with building level durability.
- Large Building level ("High 8-C"): Characters/Weapons who can destroy a large building, or those who can easily harm characters with large building level durability.
8-B: City Block level
Characters/Weapons who can destroy a city-block, or those who can easily harm characters with city-block level durability.
8-A: City District level
Characters/Weapons who can destroy an entire city district, or those who can easily harm characters with city district level durability.
Tier 7: Settlement Hierarchy
7-C: Town level
Characters who can destroy a town, or those who can easily harm characters with town level durability. Smaller towns are normally defined as having 1,000 to 100,000 residents while larger ones are normally defined as having 100,000 to 250,000 residents.
7-B: City level
Characters/Weapons who can destroy a regiopolis or city, or those who can easily harm characters with city level durability. Cities are normally defined as having a quarter million to one million residents.
7-A: Metropolis level
Characters/Weapons who can destroy a metropolis, or those who can harm characters with metropolis level durability. Metropolises are normally defined as having more then one million residents.
Tier 6: Tectonic
6-C: Island level
Characters/Weapons who can destroy a large island, or those who can easily harm characters with island level durability.
6-B: Country level
Characters who can destroy a country, or those who can easily harm characters with country level durability.
6-A: Continent level
- Continent level ("6-A"): Characters who can destroy a continent, or those who can easily harm characters with continent level durability.
- Multi Continent level ("High 6-A"): Characters who can destroy multiple continents, or those who can easily harm characters with multi-continent level durability.
Tier 5: Planetary System[1]
5-C: Moon level
Characters who can destroy a moon, or a celestial object of similar proportion.
5-B: Planet level
- Small Planet level ("Low 5-B): Characters who can destroy a small planet, or those who can easily harm characters with small planet level durability.
- Planet level (5-B): Characters who can destroy a planet. For simplicity sake the baseline assumption for any unnamed planet where we never get a direct size for it, we assume it equal to Earth.
- Large Planet level (High 5-B): Characters who can destroy large gas giants such as Jupiter and Saturn.
5-A: Brown Dwarf level
Characters who can destroy a brown dwarf.
Tier 4: Star System[2]
4-C: Star level
- Low Mass Star level ("Low 4-C"): Characters who can destroy stars with a small solar mass.
- Star level ("4-C"): Characters who can destroy a star.
- High Mass Star level ("High 4-C"): Characters who can destroy stars with a massive solar mass.
4-B: Solar System level
- Solar System level ("4-B"): Characters who can destroy a solar system.
- Multi-Solar System level ("High 4-B"): Characters who can destroy multiple solar systems.
4-A: Star Cluster level
- Star Cluster level ("4-A"): Characters who can destroy entire star clusters.
- Multi-Star Cluster level ("High 4-A"): Characters who can destroy multiple star clusters.
Tier 3: Larger Cosmological Structure
3-C: Galaxy level
- Galaxy level ("3-C"): Characters who can destroy a galaxy.
- Multi Galaxy level ("High 3-C"): Characters who can destroy multiple galaxies.
3-B: Galaxy Cluster level
Characters who can destroy galaxy clusters, which typically contain hundreds to thousands of galaxies.
3-A: Supercluster level
- Supercluster level ("3-A"): Characters who can destroy galactic superclusters, which contain thousands to hundreds of thousands of galaxies.
- Multi Supercluster level ("High 3-A"): Characters who can destroy cosmic structures on a scale beyond the theoretical limit of the cosmological principle, ranging from multiple superstructures to all of the matter in the universe. Essentially characters at this level can reach levels to where they can destroy all contents within the space-time "bubble" but not space-time itself.
Tier 2: Macrocosmic
2-C: Universe level
- Universe level ("2-C"): Characters who can destroy entire universes. This level goes beyond all contents within the space-time "bubble", instead completely destroying the bubble itself, wiping out the past, present, and future entirely or all points in time and space.
2-B: Multiverse Cell level
- Multiverse Cell level ("2-B"): Characters who can control, destroy and/or create a portion of a multiverse. This is normally in cases with multiverse models falling under a countless sized to infinite sized multiverse and the character in question only destroying a definable amount of universes in the overall multiverse. The power difference between 2-C and 2-B characters is not possible to exactly quantify, given that the latter category has to breach the distance between universes along an unquantifiable distance.
2-A: Multiverse level
- Multiverse level ("2-A"): Characters who can control, create and/or destroy a multiverse falling under a countless amount of universes. This multiverse is of undefined size. This is normally in cases with multiverse models falling under many-worlds interpretation, where every action and inaction creates a countless amount of timelines that's unable to be defined.
- High Multiverse level ("High 2-A"): Characters who can destroy and/or create an infinite number of universal space-time continuums. This is normally in cases where the multiverse models falls under the greater interpretation of many-worlds interpretation where there were already infinite existing timelines from the start. To briefly explain the difference between desroying an infinite universe within a bubble and an infinite sized multiverse, the expanse of spacetime and its contents is the outside of the bubble, thus for this tier it would be destroying the infinite contents outside and inside the bubble.
Tier 1: Levels of Infinity
1-C: Complex Multiverse level
This category Complex Multiverse level ("1-C"): As the limit of the multiverse is infinite, this is where a multiverse delves into the higher infinities, at these levels infinity is larger then the first countable infinity, being unable to be properly described. At this level, it deals with accessible cardinals. By equating infinite this to a set, we can represent it as aleph null, with a multiverse the size of this or larger equating to this tier.
For more information on set theory, please watch this excellent video on the subject by Vsauce.
1-B: Hypercomplex Multiverse level
As the previous level deals with accessible cardinals, this level deals with inaccessible cardinals. The multiverse that exists on such a scale that their existence cannot be reached by using set replacement. Using set theory, we can equate this level to inaccessible cardinals. The term "hypercomplex" comes from an actual mathematical term of a hypercomplex number, though the level itself does not share a relation to this phenomena as it deals with something different then cardinality.
1-A: Mathematical Multiverse level
A reality at this level would be a Level IV Multiverse (also known as an ultimate ensemble), a system in which physical reality is a mathematical structure, and the totality of reality consists of all possible mathematical structures that can be conceived of, including any higher set of numbers. For more information about this, please read our multiverse page. Alternatively it can be a character that affects the World of Ideas, where every mathematical structure exists within, or a reality that falls under Pythagoreanism's philosophy of the mathēmatikoi, where in this belief, numbers are the heart of everything and are what constructed the cosmos. Please read Further 1-A Explanations for more information on the latter two requirements.
High 1-A: Absolute Infinity
- Absolute Infinity ("High 1-A"): Characters who reach absolute infinite, where George Cantor links it to God[3][4][5], in which he viewed as supreme perfection in a completely independent extra-worldly existence[6] . Characters at this level are so incomprehensibly powerful that they cannot properly be described by mathematics, and as a result, trying to discuss the difference in power between characters in this tier is meaningless, as we lack the comprehension to truly assign them any value at all, as an example for this, Georg Cantor's idea of it in multiplicity has the system Ω of of all ordinal numbers is an inconsistent, absolutely infinite multiplicity[7]. This can also be linked with the religious definition of Transcendence, however a requirement for this tier is that the character must directly needs to be noted or shown to be at absolute infinity.
Other Tiers
Variable Tier
Characters that vary in tier, this can normally do a magical item that has different levels of spells, a character themself shift constantly in power, normally characters of the Cartoon Physics variety. It should be noted that a character merely being inconsistent does not give them varies, there needs to be normally a reason behind them being varies. A good example of this is Mario, other examples are cartoon gag characters that have no consistent strength and merely serve to be as strong as the joke needs them to be.
Unknown Tier
Characters where their power cannot be properly defined or estimated.
Further 1-A Explanations
Platonism
As one may expect, a mathematical multiverse requires extensive evidence to be accepted, requiring some form of proof that the world is made of mathematics and then for a character to scale to it, they need to be proven that they're affecting the entire totality of the multiverse.
Platonism on the other is much harder to prove.
Proof for the Verse Running on Platonism
Firstly one must prove the verse runs on it through direct official statements from the narrative that the verse follows Platonism, an example of this can be found in Kobayashi Dragon Maid, were they directly note the reason they transform is in reference to Plato's concepts, in this case we know the verse follows Platonism, which at least gives it the first step. Do note that concepts that function like Platonic Concepts without directly being noted to do not qualify for a verse falling under Platonism, this is due to the fact that concepts themselves are interpretive and span into billions upon billions of different interpretations, so obviously they would overlap and have similar effects, the part that gets Platonism 1-A is due to the fact that all mathematical equations exist within the World of Ideas, which a verse itself would need to directly prove without falling under Platonism, thus using concepts that act or function similarly would not be enough. Along with this, someone merely mentioning Platonism and treating it as a way to follow reality is not enough to prove the verse runs under Platonism. This is due to the fact that in real life, many people follow different philosophical ideals, and this is merely just emulated in fiction, someone following a philosophical ideal doesn't mean that ideal exists, but merely they're a follower of it. Even if it's an intelligent source following the ideal, as an example to real life, Plato, Aristotle, and Socrates would be agreed upon to be very intelligent sources, but this does not mean any of their philosophical beliefs exist in reality by default. In the Kobyashi example listed above, the reason this is usable is that when explaining how their shapeshifting works, they directly say Plato's name and agree and proceed to explain how his idea of a concept works, thus they are proven to run under Platonism.
How one would get 1-A from this
Before starting with this, it should be noted that destroying or manipulating platonic concepts still would not grant 1-A as concepts are not tierable and one is not affecting the entire World of Ideas by destroying or affecting a platonic concept. After being able to prove Platonism exists within the verse as an objective form of reality the next part is to answer how one would get 1-A' from this. Firstly, any statement of destroying the Multiverse or the totality of it would not be enough to give one the tiering as the totality of reality is separate from Plato's World of Ideas as reality is a physical aspect while the World of Ideas is a pure abstract world. So one would directly need to be stated to be destroying the World of Ideas in a Platonism reality in order to get this tier. Secondly, there's the issue of whether or not this is a physical tier feat for a character or Conceptual Manipulation, as we branch into a realm of abstraction, for simplicity sake the way we would allow it to scale to physical tier is if a character is shown physically destroying the World of Idea, though if they use erasure, or some other supernatural method, this would just be considered being done through manipulating concepts and would not get the tier. It should also be noted that simply existing within the World of Ideas, defeating a being from it, or defeating one that is an avatar embodiment of it would not give one 1-A, this is due to the fact that merely existing in a ream does not grant one a tier and being an avatar embodiment has to do with State of Being rather then physical strength. Overall, while Platonism can grant 1-A it is through a very complicated task that many verses would not apply too.
Pythagoreanism's philosophy of the mathēmatikoi
Similar to Platonism, this needs to be directly noted to be what the verse runs under. It cannot be merely Pythagoreanism alone existing within the verse but the mathēmatikoi' philosophy of it as the akousmatikoi philosophy of it refuses to recognize mathematics and the mathēmatikoi' philosophers beliefs. The way for a character to get 1-A from this is similar to the way a character would need to get 1-A from the mathematical multiverse.
High 1-A Criteria
As High 1-A deals with absolute infinity, a concept extremely hard to sufficiently prove, there are many criteria one must pass in order to be given High 1-A. The criteria are as follows:
- The character in question must fully transcend mathematical quantification on a conceptual level. Any statements used to prove such a level of transcendence must be thorough and/or clear enough to warrant the High 1-A tiering, otherwise it will be used as proof of a lower tier.
- The verse in question must acknowledge the existence of higher infinities. It's easy for an author to claim a character they created transcends math while only considering the first level of infinity.
- The character in question must be fully transcendent in all aspects of their being, not just in regard to their power. If they meet the requirement to be assigned High 1-A based on their power, but are surpassed in other aspects by other characters, they are not in a true state of transcendence and thus cannot fully qualify for the tier. In this case, 1-A would be an acceptable alternative.
- The character in question must have 100% consistency with their portrayal with no outliers whatsoever. They must consistently be portrayed as the supreme deity of their verse whose existence is completely inaccessible, only being revealed to lower characters when they choose to be.
- The character in question must be formless and impossible to comprehend. It must be clear that any physical manifestations of the character in question are merely avatars used to interact with their verse.
- If the character in question started out as a lower tier and reaches High 1-A later on in the story, it must be clear that such a shift in tier irreparably changes their state of being to a point where they no longer conventionally exist as the character they used to be. Additionally, due to the atemporal nature of High 1-A, the character in question must have always existed in their High 1-A state, with the process of their lower state of existence "reaching" such a tier just being ultimately inconsequential and only being used as a narrative device to keep a sense of causality.
- If a verse somehow has multiple High 1-A characters, it must be clear that they are incomparable to each other. Any direct conflict between two such characters would most likely result in them being placed at a lower tier where it makes sense for them to be able to oppose one another.
Additional terms
At least
Should be used to denote the lower cap of a character, if the exact value is indeterminate. Usually listed for characters that have done a feat superbly casually.
At most
Should be used to denote the higher cap of a character, if the exact value is indeterminate. Usually listed for characters that have done a feat that is questionable compared to their other feats.
Likely
Should be used to list a hypothetical statistic for a character, but inconclusive due to lack of feats or viable power-scaling. Probability of said hypothetical statistic should be favorable.
Possibly
Should be used to list a hypothetical statistic for a character, but inconclusive due to lack of feats or viable power-scaling. Probability of said hypothetical statistic should also be indeterminate.
Tiering System FAQ
Q: Why don’t we use dimensional tiering?
A: Dimensional tiering is a system of tiering fictional characters that automatically assumes higher dimensions are qualitatively infinitely superior to lower dimensions. It is an inherently flawed idea because of this very reason, as spatial dimensions are simply axes of movement, they do not constitute for higher infinities in the way that some people may think they do. The forces responsible for determining attack potency, such as mass and acceleration, are not correlated to dimensionality in any way. To highlight this difference, destroying a 10+1 dimensional universe is no different than destroying a 3+1 dimensional universe in terms of attack potency. For more information, visit our Dimensional Tiering Explanation page.
Q: So additional spatial dimensions aren’t viable for tiering, but what about temporal dimensions?
A: Temporal dimensions are in the same boat. Though they're more impressive for specifically 2-C. Destroying the timeline of a universe involves the destruction of the universe at every single point in time, thus warranting a higher tier under our system. This is the reason 3-A and 2-C have a difference between them.
Q: Are there situations where dimensional tiering is applicable?
A: If the verse in question specifically portrays higher dimensions as higher layers of infinity, dimensional tiering can be applied. It is only when you try to apply dimensional tiering to verses that treat dimensionality the same as the real world that the idea begins to fall apart.
Q: Hold on a second… the tiering system here is different! Why is that?
A: Initially our tiering system was largely adapted from other power scaling wikis, though after various revisions, we have made it into its own unique system. These changes were made to make the tiering system more consistent and easier to understand. The specific changes can be seen by visiting our tiering system page.
Q: So then, how do we handle 1-C and above?
A: Rather than using higher dimensions as higher infinities, we handle tier 1 based off George Cantor's level of infinites, where there's higher order of infinities.
Q: But what were the specific changes made between tier 3 and tier 2?
A: The changes are the following:
- High 3-C: High 3-C is now where Multi-Galaxy level is, instead of 3-B.
- 3-B: 3-B has changed from Multi-Galaxy level to destroying an entire galaxy cluster, which typically contain hundreds to thousands of galaxies.
- 3-A: 3-A's name no longer uses universe level as the universe is officially defined as a universal space-time, which is our reasoning for reaching 2-C. Thus 3-A instead uses galactic superclusters as they are the largest cosmic structures of the universe, essentially putting a fitting end to tier 3's cosmic structures.
- High 3-A: High 3-A has now become Multi-Supercluster level, this is where cosmic structures are on a scale beyond the theoretical limit of the cosmological principle. Allowing for multiple superstructures to all of the matter in the universe, whether finite or infinite.
- Low 2-C: Low 2-C no longer represents destroying a single universal space-time, as it is now 2-C.
- 2-C: 2-C has been renamed to Universe level to differentiate as the definition of the universe is the whole space-time. This is due to Low 2-C moving to Low Multiverse level and then 2-B being Multiverse level was an odd inconsistency with the old tiering system.
- 2-B: 2-C [Low Multiverse level] has been moved to a new tier, that being 2-B. Additionally, the name has been changed to Multiverse Cell level. The reasoning for this is that our terms for tier 2 are based off scientific basis, and thus our using of the term "multiverse" should reflect this. The most relevant multiverse models that are commonly studied are ones that results in a countless number of universes or an infinite amount of universes, thus model wise, 2-B now falls under an assumption that a character performed a feat equivalent to destroying a portion of a countless or infinite multiverse model. Along with this, for 2-B rather than having an arbitrary upper limit of 1,000 universes [the old 2-B], this tier will be used for any finite multiverses that have a defined size, or multiverses that cannot be extrapolated to contain countless universes, or destroying sections of a countless or infinite universe..
- 2-A: This tier will now exclusively be assigned to finite multiverses that have no defined size, or contain countless universes so to speak. Usually a multiverse of ad infinitum or ever-growing size.
- High 2-A: Initially this tier was used to describe "5-D" in the old dimensional tiering system, it is now used to define a multiverse of infinite size.
- 1-C: This promotes the start of the levels of infinity, and specifically deals with the accessible cardinals.
- 1-B: This deals with the inaccessible cardinals of infinity.
- 1-A: This deals with a multiverse or realm that contains every possible mathematical idea, normally associated with the Level IV Multiverse.
- High 1-A: This deals with Absolute Infinity, the highest possible rating to get, nothing can go beyond this.
Q: What’s up with 1-A? Why is it so much different than how other wikis treat it?
A: To explain why we handle 1-A differently, we must explain the flaw with our initial 1-A. To start, the idea of 1-A on used to be based on the idea of dimensional tiering. To be 1-A, one must be superior to the concept of dimensions itself, of course, the problem with this being that since dimensions are not used for tiering, being superior to the concept of them shouldn’t account for tiering either. This leads to certain verses being massively inflated due to having dimensionless characters or realms, when they should be much lower on a system that is purely based on levels of infinity. Our 1-A simply consists of characters that reach essentially an inaccessible cardinal or Level IV Multiverse, regardless of whether or not they are dimensionless. For the specifics on how we handle the sub tiers of 1-A, check out our tiering system page.
Q: Alright, so how do we treat transcending?
A: Transcendence, in its truest nature, would reflect our High 1-A rating, as a true transcendent beings is unbound by and beyond everything, thus they'd be linked to absolute infinity as Cantor links that to God. Though this does not mean everyone with Transcendence gets High 1-A, instead one needs to meet the requirements of the truest nature of Transcendent in order too. For other characters with transcendence, it is treated as merely an ability as there is nothing prove one transcendent of space and time are infinitely superior to everything within the cosmos.
Q: Does moving in higher spatial dimensions grant Extra-Temporal speed?
A: Not quite. Extra-Temporal speed is limited to High 1-As as those are beings that cannot be described by mathematics. Going into a higher spatial dimension does not put your in this state as you’ve merely went into a higher space dimension. Being granted more directions/axis does not upgrade or make you any faster for instance you are still bound by the past, present, and future; you can just look at these angles from different axis now.
Q: Is it possible to be for a non-High 1-A to get Extra-Temporal speed?
A: For characters below High 1-A Extra-Temporal speed has been agreed upon to be removed, this is due to the fact that it in essence is not a speed as it's one being beyond the formula for speed, thus instead this would be an ability. This is consistent with fictions portrayal of characters normally beyond time not really being treated as a speedster.
Q: How is transcending space-time treated here?
A: Transcending space-time is an incredibly case by case scenario. For example, it could grant one Time Travel, it could grant one a resistance to Space-Time Manipulation, it could grant one Acausality, or it could grant all the above.
References
- ↑ In this case the naming convention is for what's within the planetary system.
- ↑ In this case this is for what's within the Star System.
- ↑ §3.2, Ignacio Jané (May 1995). "The role of the absolute infinite in Cantor's conception of set". Erkenntnis. 42 (3): 375–402. doi:10.1007/BF01129011. JSTOR 20012628. S2CID 122487235. Cantor (1) took the absolute to be a manifestation of God [...] When the absolute is first introduced in Grundlagen, it is linked to God: "the true infinite or absolute, which is in God, admits no kind of determination" (Cantor 1883b, p. 175) This is not an incidental remark, for Cantor is very explicit and insistent about the relation between the absolute and God.
- ↑ Georg Cantor (1932). Ernst Zermelo (ed.). Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Berlin: Verlag von Julius Springer. Cited as Cantor 1883b by Jané; with biography by Adolf Fraenkel; reprinted Hildesheim: Georg Olms, 1962, and Berlin: Springer-Verlag, 1980, ISBN 3-540-09849-6.
- ↑ Georg Cantor (1883). "Ueber unendliche, lineare Punktmannichfaltigkeiten (5)". Mathematische Annalen. 21 (4): 545–591. Original article.
- ↑ Translated quote from German
The actual infinite was distinguished by three relations: first, as it is realized in the supreme perfection, in the completely independent, extra worldly existence, in Deo, where I call it absolute infinite or simply absolute; second to the extent that it is represented in the dependent, creatural world; third as it can be conceived in abstracto in thought as a mathematical magnitude, number or order type. In the latter two relations, where it obviously reveals itself as limited and capable for further proliferation and hence familiar to the finite, I call it Transfinitum and strongly contrast it with the absolute. - ↑ Text in square brackets not present in original translation.
A multiplicity [he appears to mean what we now call a set] is called well-ordered if it fulfills the condition that every sub-multiplicity has a first element; such a multiplicity I call for short a "sequence".
...
Now I envisage the system of all [ordinal] numbers and denote it Ω.
...
The system Ω in its natural ordering according to magnitude is a "sequence".
Now let us adjoin 0 as an additional element to this sequence, and place it, obviously, in the first position; then we obtain a sequence Ω′:
0, 1, 2, 3, ... ω0, ω0+1, ..., γ, ...
of which one can readily convince oneself that every number γ occurring in it is the type [i.e., order-type] of the sequence of all its preceding elements (including 0). (The sequence Ω has this property first for ω0+1. [ω0+1 should be ω0.])
Now Ω′ (and therefore also Ω) cannot be a consistent multiplicity. For if Ω′ were consistent, then as a well-ordered set, a number δ would correspond to it which would be greater than all numbers of the system Ω; the number δ, however, also belongs to the system Ω, because it comprises all numbers. Thus δ would be greater than δ, which is a contradiction. Therefore:
The system Ω of all [ordinal] numbers is an inconsistent, absolutely infinite multiplicity.. This means they themselves cannot truly be transcended or surpassed as they are beyond all forms of mathematical formulas and there is nothing above them as they've already reached an absolute top.