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Taiji

The "Taiji" is the limitless potential and oneness before duality.

I maintain nonetheless that yin-yang dualism can be overcome. With sufficient enlightenment we can give substance to any distinction: mind without body, north without south, pleasure without pain. Remember, enlightenment is a function of willpower, not of physical strength.
~ Chairman Shen Ji Yang (Sid Meiers Alpha Centauri)

Summary

Transduality is defined as "transcendence in relation to duality". If we consider reality as a binary code, where the state of being is 1, and the state of non-being is 0, then a trans-dualistic being does not fit into the code itself (it can be either a code that is different from 1 and 0, or simply the lack of 1 and 0), remaining outside the realm of duality. Beyond being and non-being, regardless of yin and yang, outside of all forms of binary logic and is independent of them. Nondual/Transdual characters are characterized as very powerful transcendental and abstract meta-cosmic entities.

Users

Hadou and Gudou Gods from the Masadaverse

Lambdadelta and Bernkastel from Umineko no Naku Koro ni

The Choushin and Kami Tenchi from Tenchi Muyo!

Nyarlathotep from Demonbane

Yog-Sothoth from the Cthulhu Mythos

The Presence and Elaine Belloc from DC Comics / Vertigo

Notes

Transdualism is strictly a theological concept. There is no scientific, mathematical, or logical explanation for such a concept.

In Taoist cosmology, there is a concept known as "Taiji", which is defined as the state of limitless undifferentiated potential, otherwise, the oneness before duality and the source of all duality (yin-yang). Taiji is a transdual/nondual concept.

Other major theological systems have similar concepts.

It stands to reason, that if a being possesses a nondual nature, they are outside the realms of space and time (space and time are both forms of binary reality and as such all concepts of them are limited to duality). Therefore transduality should generally be a power reserved for Tier 1-A and above.

Simply being "within" or "outside" is not enough to qualify for transdualism, nor is simply being 1-A

In fact, no human description can express real transduality, for our speech and reason are limited by duality (everything is or isn't, there's no in between, even the concept of "within / outside" is still based on duality), therefore, any attempt to express it in some work will only be a particular author's portrayal.

The only way to combat such an entity, is to also be outside of the "binary code" or duality, or have the capability to affect the code of the nondual being (for example if being and non-being are 1 and 0 respectively and the nondual being is "2" if the being that is "1" or "0" as the ability to affect the "2", normally via hax, then they can affect the nondual/transdual entity).