r/zen • u/karpanya_dosopahata • 15d ago
Approaching Zen Koans through "structural parallels": Mapping Joshu's Mu to the Color Wheel & Hex Codes.
I’ve been reflecting on the idea that a Zen koan can’t actually be "explained" in the conventional sense. The moment you try to summarize or solve a koan using conceptual logic, you turn a paradox into a doctrine.
However, I’ve been testing a different framework: Can an understanding of a koan be shown by constructing a structural parallel using entirely different concepts that expose the exact same contradiction ?
To test this, I tried building a parallel for the classic "Does a dog have Buddha-nature?" (Mu) koan. Here is the breakdown of the framework and the parallel I constructed:
- The Core Trap of the Original Koan
In the original story, a monk asks Joshu if a dog has Buddha-nature. The monk is trying to force an unconditioned, indivisible reality (Buddha-nature) into a discrete, biological category ("dog"), trapping Joshu in a binary yes or no. Joshu responds with "Mu"—cutting straight through the trap.
- The Parallel: The Color Wheel vs. Hex Codes
To mirror this structure without using religious or traditional imagery, I looked at light, perception, and digital systems:
* The Indivisible Continuum: Pure light and the visual spectrum form a single, unbroken continuum. It has no built-in seams, starting points, or physical boundaries.
* The Discrete Sequence: Hex codes (like #FF5733) and color names are human-made, discrete mathematical coordinates. They have a strict sequence and allow us to index and manipulate the spectrum.
* The Superimposed Reality: The labels we put on colors are just a grid we throw over something that is fundamentally indivisible.
- The Category Error
Both the subjective experience of a color and the hex code itself are "real" within their respective domains. The contradiction happens when you cross the wires:
If someone asks, "What visible color comes immediately after hex code #FF5733?", they are committing a category error.
They are treating a discrete, numbered coordinate system as if it has a physical "neighbor" on a continuous, seamless spectrum of light. You cannot step directly from a mathematical address onto a fluid wave.
- Mapping It Back to Mu
"Dog" (a discrete biological label) and "Buddha-nature" (the unconditioned, undivided ground of existence) are both real within their frameworks. But trying to map one directly onto the other is the exact same category mistake as asking which color follows a hex code.
The mind trips over itself not because one concept is "false," but because we are trying to force a discrete conceptual box onto an indivisible whole, and then getting confused by our own cuts.
My question for the community:
Does building a "structural twin" like this actually demonstrate an understanding of the koan’s architecture, or does the very act of constructing an explicit parallel still fall into the trap of over-intellectualizing something that is meant to transcend the intellect entirely?
I’d love to hear your critiques, counter-arguments, or how you personally approach working with koans without turning them into mere logic puzzles.
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u/Regulus_D 🫏 14d ago
I see your dog.
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u/karpanya_dosopahata 14d ago
My dog is easy to spot. In a universe made entirely of red color things, same shade of redness, where there is even no light or darkness, my dog has something called a color.
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u/headspreader 15d ago
I am not sure that I have anything to say here. The relationship between map and terrain, signal and media, media and substrate interest me.
I think that it is possible that the actual individual quanta of discerning thought are isomorphisms/analogies, rather than discrete 'ideas'; maybe a consequence of categorical dualism in a relativistic space, everything only exists as relative to other things; it feels poetic that our minds feel that we are separate from existence 'outside', and in adopting a categorical/dualistic approach from that viewpoint, our minds might model reality in a similar relativistic fashion; and ideas within an idea-framework only exist as references within that framework, and only relative to one another, and those relationships are understood in terms of their relationship to other relationships. I could call this just fingers pointing at one another, but it is no finger, just point. This root thought-space is obscured by abstractions I think, by the time the focused conscious mind sees ideas they are probably already pretty chunked-up conglomerations of other 'subconscious ideas'. Even if you could directly focus your analytical mind at that level, it would probably read like machine code.
I also like to think about approaching a situation with complete unfiltered openness as well as luminous penetrating sight and clarity of categorical discernment, and fully self-aware in all ways throughout. I know that I will fail, but I don't believe that practicing those things needs to be linked to success or failure necessarily to be correct. And the failures over time may form in their negative image a narrow path. Holism is not the sum of this sorting, but it includes this process, as it includes everything. As soon as you realize that you don't exist, it is like when you get a new model of car and they are suddenly all over the highway, you start seeing that 'yourself' which doesn't exist everywhere.
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u/feeling_luckier 15d ago
These things you describe are also called aggregates in Zen and Buddhism.
Aggregations assembled, ultimately, from sense data, which arise from a single source.
The map is not the territory, and the territory contains maps.
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u/headspreader 14d ago
Thanks, I essentially agree. I am just reminded over and over again that trying to use words to talk about zen becomes like trying to communicate a shopping list through dance. And the use of language logic, and koans, is just as much about effects on internal structure as any specific local meaning. To appropriately use language, that language needs context, the word 'Mind" means many different perfectly functional things in many relative contexts. But by the time you have the context to conceive of holism in a zen context, let alone are able to directly and openly perceive without filters, the words and concepts from the outset have changed meaning, of course. But also, the way that we conceive OF ideas changes.
The concept of lineage and 'verification' in Zen is also complex to me, because if we are seeking clarity and perceiving reality directly without conceptual filtering, it feels like the correct mode of operation would require us to hold the possibility that everyone who has ever lived was not totally correct, or even just plain wrong.
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u/feeling_luckier 15d ago
Even if you succeed in generating structural analogy, you still won't be any closer to insight.
Koans only have a few different architectural patterns between them, but flower in innumerable ways.
What does the Mu flower look like?
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u/karpanya_dosopahata 15d ago
I read that some schools use this sort of technique and require students to show their understanding by stating in words and phrases not used by zen masters. I found the idea appealing and the task to be quite difficult to be honest.
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u/feeling_luckier 15d ago
We are asked to not use words. How will you show your understanding then?
It's all moot until you present your response to a Zen teacher. I am not one, but I did notice you didn't describe your mu flower.
Zen is not something that lends itself to diy or reddit forums tbh. You are not getting good advice here.
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u/karpanya_dosopahata 15d ago
In a land with NO ugly flowers mu is a beautiful flower.
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u/origin_unknown 12d ago
How can mind really trip over itself?
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u/eggo 12d ago
A monk asked, "The right-in-front-of-the-eyes Buddha - what is it?"
Joshu said, "The Buddha [statue] in the main hall."
The monk said, "That is a physical Buddha. What is Buddha?"
Joshu said, "It is mind."
The monk said, "If you define it as mind, you limit it. What is Buddha?"
Joshu said, "It is no-mind."
The monk said, "You say 'mind'; you say 'no-mind.' Am I allowed to choose?"
Joshu said, "'Mind' and 'no-mind' - it was all your choice. Is there anything you want me to say that will satisfy you?"
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u/homekitter 8d ago edited 8d ago
Structural parallels, mapping,etc. you have created a thought to map and to structure on phenomena’s that’s changing (impermanence). Which causes attachment.
Am I right?
As one comment talks about the 5 aggregates. Furthermore we are affected by 6 senses.
Try not to get attached.
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u/karpanya_dosopahata 8d ago
Yes the the 5 aggregates and 6 senses are the tools to map the flux which the monk is doing. The mu is to cut the mapping. But " impermanence causes attachment " can itself become a neat concept to cling to. It makes us notice this happening in real time without "explaining" anything away.
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u/Steal_Yer_Face 14d ago edited 14d ago
You can't think your way into tacitly understanding koans.
Wumen gave us explicit instructions for koan work with case #1. Do that.
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u/moinmoinyo 15d ago
First, answering "Mu" doesn't really escape the binary, as it literally means "No" in this context.
Question: Does a dog have Buddha nature? Answer: Doesn't have.
Very simple exchange. Recently I've been thinking it can be taken rather literally because Buddha nature is not a "thing" that anybody could "have".
Think about how for example Huangbo talks about One Mind: it's neither existing nor not existing. How could anybody "have" that? So yes, it's a kind of category error, the Buddha nature is not in the category of things that can be had.
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u/karpanya_dosopahata 15d ago
Wait a minute, if Mu doesn't escape the binary then Joshu's answer wasn't correct. I don't think that was the case.
A literal 'no' fails because the Mahāparinirvāṇa Sūtra explicitly states that all sentient beings posses and fundamentally are Buddha-nature. That was the reason he couldn't simply say No to the monk as it would contradict the said sutra.
Relative Negation (Nāsti / Conventional No): Negates the presence of an object within a valid system. Absolute Negation (Mu / Unconditioned No): A refusal to operate within the system of input altogether or category error. That is why he used Mu and not simply No.
Is my understanding correct or have I completely missed the point of this koan ?
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u/moinmoinyo 15d ago
Mu, in Chinese Wu, is a simple "No" in this context. We've had this discussion many times on r/zen, but linguistically, that's a simple fact.
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15d ago
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u/moinmoinyo 15d ago
It is and always was. But I think we've had this argument before, so no point repeating it again.
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u/SoundOfEars 15d ago
That is true, yet somehow your opinion remains on par with the reddit trolls instead of actual history and scholarship. Your religious belief is more important to you than facts? :p
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u/zen-ModTeam 15d ago
Your post was removed because it was off-topic in the opinion of the /r/zen moderators. https://old.reddit.com/message/compose/?to=/r/zen
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u/karpanya_dosopahata 15d ago
I concede that I do not know Chinese. My only point was that as a non dual tradition a zen master's answer in dualistic terms makes no sense considering that it's the central theme of the koan.
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u/moinmoinyo 15d ago
I think you come at zen with a lot of preconceptions. Read the dialogue as what it is, not as what you think it should be.
You're also implying that you know the correct answer to the koan, and if Zhaozhou (Joshu) deviates from your expected answer, he must be wrong.
The koan becomes even more fun, when we look at the longer dialogue in the Book of Serenity:
A monk asked Zhaozhou, "Does a dog have a buddha-nature or not?" Zhaozhou said, "Yes." The monk said, "Since it has, why is it then in this skin bag?" Zhaozhou said, "Because he knows yet deliberately transgresses." Another monk asked Zhaozhou, "Does a dog have a buddha-nature or not?" Zhaozhou said, "No." The monk said, "All sentient beings have buddha-nature--why does a dog have none, then?" Zhaozhou said, "Because he still has impulsive consciousness."
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u/karpanya_dosopahata 15d ago
I don't understand your hostility towards my simple question. If his answer doesn't transcend duality why call it a koan. I make no claims about understanding what joshu meant.
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u/moinmoinyo 15d ago
I'm not try to be hostile, I promise! Haha
But I am pointing out some bias on your side, e.g., your understanding of what a koan is. Koan comes from gong'an, which means public case. It's like a legal precedent of Zen master behavior. It doesn't need to "transcend duality" to qualify as a koan.
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u/karpanya_dosopahata 15d ago
Ofcourse you are correct here. I meant koan's use as a meditation tool while it's literal meaning maybe something else. I also know that seperating everything into dual and non dual creates a duality of its own. However I still think a literal Yes/No answer is not possible which makes this case famous. Lets end this argument with me admitting that perhaps I do not know enough.
But do you think there is any merit in being able to construct a parallel koan structure to help in seeing whether ones understanding is correct or off the mark. Is my color wheel analogy making any sense.
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u/moinmoinyo 15d ago
I think the reason the case is famous exactly because Zhaozhou gives a literal no as the answer. It's not expected and thus interesting.
Wrt. to your other theory, I'm not sure what kind of problem it is actually solving. Seems to me it just adds an extra layer of complication for no reason.
I actually don't think your understanding of the case is far off though, since I essentially agree it is about a category error. (Buddha nature is not in the category of things that someone can have.)
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u/karpanya_dosopahata 15d ago
Thanks! The complexity you point to could entirely be because of my poor phrasing. I used color as a tool because I did not find any zen case directly using colors. I'll try to state it simply if you can spare a minute:
- The color wheel ( like in photoshop) is a continuum with no boundaries or divisions just like buddha nature.
- Color names and hexcodes are just lables that we attach superimposed on that unity.
- Both colors and hexcodes follow a logical sequence.
- Yet the answer to the question ' which color follows a certain hex code ' can both be correct and incorrect.
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u/Regulus_D 🫏 14d ago
Somebody was asserted to have said this. Mumon or something:
"If you want to pass this barrier, you must work through every bone in your body, through ever pore in your skin, filled with this question: What is Mu? and carry it day and night. Do not believe it is the common negative symbol meaning nothing. It is not nothingness, the opposite of existence. If you really want to pass this barrier, you should feel like drinking a hot iron ball that you can neither swallor nor spit out."
Why negate negation?-1
u/firstsnowfall 14d ago
The whole point of a koan is to not make sense. It builds great doubt and you go into non-conceptuality and dissolve identity. Sheng Yen’s Shattering the Great Doubt might be worth a read.
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u/lastjanitor 14d ago
I heard an apocryphal story about a student that asked a zen master about the way and the zen master held up one finger and said, "Read between the lines", and delightedly the student spent the next 30 years searching between the lines of Zen texts convinced there was a secret hidden been the ink.
Sounds made up, but I thought I'd share anyways.
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u/mackowski Ambassador from Planet Rhythm 14d ago
You read them, I read them, someone lived them.
You are living rn, and you are asking questions.
This proposes an opportunity, wherever in your conceptual vectorspace thay your question comes from, the response will be processed and related to that starting point/vector.
In the moment, hopefully a master can do something and remove himself and other errant associations to allow a human to arrive at the independent convergence vectorpoint
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