The Two Hats and the Cross That Never Stops Changing
A Helixopädische Reading of Chinese Characters,
Kantian Categories, and the Science of “Far Transfer” [better: “Telesynthesia"].
I recently watched a YouTube video by Queen
Mandarin called “The
Two Mysterious Hats.” It was one of those rare moments when a piece of
content from a completely different domain lands in your mind and immediately
begins to resonate with a structure you have been building for years. I sat
there, slightly stunned, as she unpacked two Chinese radicals—two “hats” that
sit on top of characters—and explained how they generate meaning, sound, and
entire families of words.
What struck me was not just the linguistic detail. It
was the shape of her insight. In the middle of her explanation of the
first hat, the study hat 𦥯,
she pointed to the ancient form and said something like:
“But what about the cross lines? That represents
knowledge. They’re crossing each other and they’re forever changing.”
That sentence hit me like a tuning fork. Cross
lines. Crossing each other. Forever changing. In one breath, Queen Mandarin
had articulated the core of what I call Helixopädische Synthesiology—a
way of understanding knowledge as a dynamic, helical process of far transfer,
cross-relation, and continuous transformation. And she had done it through the
image of an X inside a Chinese character.
This article is an attempt to unpack that resonance.
It is about two hats, a cross, and the panta rhei effect that runs
through both ancient Chinese writing and a certain diagram I have been drawing
for years. It is about how the smallest visual element—a crossing of lines—can
become a portal into a science that refuses to exclude anything, exactly as Abraham
Maslow demanded.
Two Hats, Two Operators
Let us begin with the hats.
In Chinese characters, certain components sit on top
like hats. Queen Mandarin calls them “mysterious hats” because they are not
always obvious, and because they behave differently. The first is the study
hat, 𦥯.
In its ancient form, it looks like a little classroom: a roof, cross lines, and
hands on the sides. The roof is the school. The hands are the teachers—hands-on
education. And the cross lines? They represent knowledge, crossing each other,
forever changing.
That is the X at the heart of the study hat.
The second is the Shang hat, 尚. Unlike the study hat, the Shang hat is more
productive, but its superpower is not meaning—it is sound. When it
appears on top of a character, the character often sounds like shang or chang.
It is a pronunciation machine. But it also carries a faint semantic aura:
something high, grand, honorable, or ordinary depending on the base it lands
on.
Queen Mandarin then walks through a series of
characters, showing how these two hats generate meaning:
- 学 (xué) — the study
hat over a child. Learning, study.
- 觉 (jué)
— the study hat over “seeing.” Awakening, realization, understanding.
- 睡觉 (shuìjiào) — the
same character 觉 also means sleep. How? Because in ancient China, to lie down and
close your eyes, and to wake up and open them again, are two sides of the
same crossing.
- 常 (cháng) — the
Shang hat over cloth. Originally a skirt or everyday wear, it became
“always, frequent, ordinary.”
- 堂 (táng) — the
Shang hat over earth. A grand hall, a lobby, a church, even heaven.
- 掌 (zhǎng) — the
Shang hat over hand. The palm. But in Chinese, if your hand is on
something, you are responsible for it. So it becomes control.
- 掌柜、掌勺、掌舵、掌门 — the one who runs the
shop, the one who holds the ladle, the one who steers the ship, the one
who holds the gate. Job titles built from the logic of the palm.
- 赏 (shǎng)
— the Shang hat over shell (ancient money). A financial reward from the
king, which evolves into appreciation, admiration.
- 尝 (cháng)
— the quiz at the end. It looks like it has the study hat on top, but it
sounds like the Shang family. Which camp does it belong to?
This is already a stunning demonstration of how a
small visual operator can generate a whole ecosystem of meaning. But the deeper
pattern emerges when you notice the cross.
The X as a Dynamic Operator
Queen Mandarin’s observation about the cross lines is
not just a poetic detail. It is a structural key. The cross is an X. An
X is two lines that intersect. At the point of intersection, something new
happens. The lines do not merely coexist; they cross. They create a
center, a relation, a tension. And in the study hat, those lines are “forever
changing.”
This is the panta rhei effect. Heraclitus said
that everything flows; nothing stays still. The cross lines in 𦥯 are not a static symbol of
“knowledge” like a book on a shelf. They are a process. Knowledge is not
a possession; it is a crossing of perspectives, a continual re-relation of what
is known and what is not yet known. The X is the shape of that process.
In my own diagram—which I call the Helixopädische
Synthesiology—the X appears in multiple forms. The diagram is organized
around Kantian categories, mathematical principles, and dynamic principles. It
has a left side (Quantity, Space), a right side (Quality, Mass), a top
(Mathematical Principles), and a bottom (Dynamical Principles). At the center,
there is a crossing. The axes intersect. The categories relate. The arrows
point downward and upward, suggesting a helical movement rather than a flat
grid.
The diagram is not a static taxonomy. It is a generative
grammar of cognition. It shows how fundamental categories—Unity, Plurality,
Totality, Reality, Negation, Limitation, Substance, Causality, Community,
Possibility, Existence, Necessity—cross each other to produce the fabric of
experience. The mathematical operators (Addition, Subtraction, Multiplication,
Division) are the verbs of that crossing. The astrological and planetary
symbols are not decorations; they are markers of qualitative dynamics, of the how
of the process.
Queen Mandarin’s cross lines in the study hat are the
same gesture. They are the visual equivalent of a Kantian synthesis. They say:
knowledge is not just a content; it is a relation. It is a crossing of
teacher and student, of hand and mind, of sound and meaning, of the known and
the unknown.
And because they are “forever changing,” they
introduce time into the structure. The cross is not a frozen
intersection. It is a panta rhei intersection. It is the point where the
river of becoming meets the river of knowing.
Far Transfer and TeleSynthesia
Why did this video affect me so deeply? Because I have
been working on a theory of far transfer—the ability to connect distant
domains of knowledge—and I have given it a name: TeleSynthesia. The idea
is that genuine insight often comes from connecting things that seem unrelated.
A Chinese radical and a Kantian table of categories. A YouTube video about hats
and a diagram about the mathematical principles of reality. A cross in an
ancient character and a helix in a modern theory of cognition.
This is not mere analogy. It is structural
resonance. When Queen Mandarin said that the cross lines represent
knowledge crossing and forever changing, she was describing the same dynamic
that I try to capture in my diagram. The diagram is a meta-model; the
Chinese character is a micro-model. They are two expressions of the same
underlying pattern.
TeleSynthesia is the act of hearing that resonance. It
is the moment when two distant territories of meaning suddenly reveal that they
share a coastline. And when that happens, you cannot unsee it. The study hat
becomes a lesson in epistemology. The Shang hat becomes a lesson in phonetics
and semantics. The quiz at the end—尝—becomes a lesson in the limits of appearance and the
power of sound.
This is what Maslow called for in The Psychology of
Science: A Reconnaissance. He said that science should be inclusive, that
it should give space to all of reality, even the contradictory and illogical,
the mysterious, vague, ambiguous, archaic, the unconscious. “It must accept
even the contradictory and illogical,” he wrote, “the mysterious, vague,
ambiguous, archaic, the unconscious and all the rest.” And he concluded: “At
its best, it is open to everyone and everything and excludes nothing. It has no
admission requirements.”
That is the ethos of Helixopädische Synthesiology. It
is a science with no admission requirements. It welcomes the cross lines that
forever change. It welcomes the two hats, the quiz, the paradox of 觉 meaning
both awakening and sleep. It welcomes the panta rhei.
The Characters as Case Studies in Cross-Relation
Let us now walk through the characters again, but this
time with the cross in mind. Each one is a small case study in cross-relation
and dynamic transformation.
学
— The Cross of Learning
学
is the study hat over a child. The roof is the school. The hands are the
teachers. The cross lines are knowledge, crossing and changing. The child is at
the bottom, receiving. But learning is not passive. The cross lines are active.
They cross each other. They change. The child is not just a container; the
child is a participant in the crossing. This is why 学 can be both verb and noun: to learn, to study, and
also the school, the semester, the learning itself. The cross makes it dynamic.
觉
— The Cross of Awakening
觉
takes the study hat and replaces the child with “seeing.” Learning opens your
eyes. The cross lines now cross with perception. You see the world differently.
This is the aha moment. It means awareness, awakening, realization,
self-awareness. Learning is no longer something others force you to do. You
begin to see what should be done and do it yourself. The child takes the
initiative. This is a cross between external instruction and internal
insight. The X is the moment of realization.
睡觉 — The
Cross of Sleep and Wakefulness
Then comes the twist: 觉 also means sleep. How? Because in ancient China, to
lie down and close your eyes, and to wake up and open them again, were separate
meanings. But they are two sides of the same crossing. The cross lines that
represent knowledge also represent the opening and closing of the eyes.
Awakening and sleeping are not opposites; they are phases of the same panta
rhei. The X is the pivot between them.
常
— The Cross of the Ordinary and the Constant
常
is the Shang hat over cloth. Originally a skirt or everyday wear. Slowly it
becomes “always, frequent, ordinary.” The cross here is between the material
and the temporal. A piece of clothing, worn again and again, becomes a symbol
of what recurs. The ordinary becomes the constant. Panta rhei—but some
things flow in cycles. We say “I go to the store a lot,” “this kind of weather
is very common,” “daily necessities.” And we use it for anything so common that
nobody reacts anymore. A couple that says fighting is 常 means they are completely used to it. It is part of
their life. The cross of sound and meaning has produced a new layer: the cross
of habit and time.
堂
— The Cross of Earth and Grandeur
堂
is the Shang hat over earth. A grand hall, a lobby, a hotel, a church where
people gather because of the same faith, even heaven. The cross is between the
groundedness of earth and the elevation of the grand. A grand hall always gives
people the feeling that it is big, bright, respectable. So words go from
“often” to “honorable,” “upright,” “open,” “dignity.” If a man looks incredibly
decent, we say he has 堂—presence.
The X is the intersection of place and value.
掌
— The Cross of Hand and Control
掌
is the Shang hat over hand. The palm. But in Chinese, if your hands are on
something, you are responsible for it. That creates job titles: 掌柜 (the one running the shop), 掌勺 (the one holding the ladle, the chef), 掌舵 (the one steering the ship), 掌门 (the one holding the gate). The logic is ancient: the
gate is not just a physical door; it is the boundary of access. Who enters, who
stays out, who belongs. So 掌门 is not
simply a leader or master. It is the person who controls entry into the system,
who defines the rules. The cross here is between the body (hand) and the social
order (control). The X is the palm as a point of power.
赏
— The Cross of Money and Appreciation
赏
is the Shang hat over shell—ancient money. A financial reward from the king.
Today it evolves into appreciation, admiration. To appreciate not just things
but people. To admire someone’s talent, ability, personality. “I admire you.”
The cross is between material value and spiritual value. The X is the
transformation of reward into recognition.
尝
— The Quiz and the Cross of Appearance and Sound
Finally, the quiz: 尝 (cháng), to taste, to try something out. It
has something like the study hat on the very top, but listen to the
pronunciation: cháng. Exactly like the Shang family. Which camp does it
belong to?
This is a perfect example of cross-relation. Visually,
it looks like the study hat. Phonetically, it sounds like the Shang hat. The
traditional form 嘗
actually has the Shang hat. So the simplified form is a cross between two
histories. The X here is the intersection of visual appearance and auditory
identity. It teaches us that no single dimension—visual, phonetic, semantic—is
enough. Meaning is a cross-relation. You have to let the lines cross. You have
to let them change.
The Diagram as a Helixopädische Map:
My diagram is an attempt to map this same logic at the
level of fundamental categories. It is not a Chinese character, but it shares
the same panta rhei spirit. At the top, “Mathematical Principles” govern
Quantity and Quality. At the bottom, “Dynamical Principles” govern Relation and
Modality. The left side is Space and Time. The right side is Mass and Energy.
The center is the crossing.
The arrows point downward and upward. They suggest a
helix, not a circle. A circle would return to the same point. A helix returns
to a similar point but at a different level. That is the panta rhei of
knowledge. We do not simply go around; we spiral. We cross the same categories
again and again, but each time from a new height.
The mathematical operators—Addition, Subtraction,
Multiplication, Division—are the verbs of the helix. They are how the
categories cross. Addition brings together. Subtraction separates.
Multiplication intensifies. Division distributes. These are not just
arithmetic; they are cognitive operations. They are the cross lines of the
mind.
When Queen Mandarin says the cross lines represent
knowledge crossing and forever changing, she is describing the same operators.
The study hat is a miniature diagram. The diagram is a macro study hat. Both
are saying: knowledge is a dynamic cross-relation.
Maslow’s Inclusive Science and the Cross
Maslow’s quote is the ethical and epistemological
horizon of this entire project. He writes:
“If there is a first basic rule for science, in my
opinion it is that one should give space to all of reality, everything that
exists, everything that happens, in order to describe it. Above all, the
meadowhood must be inclusive and all-encompassing. It must itself take into
account what it is unable to understand and explain. That there is no theory
for what cannot be measured, predicted, controlled or classified. It must
accept even the contradictory and illogical, the mysterious, vague, ambiguous,
archaic, the unconscious and all the rest and all the other aspects of our
lives that are difficult to deduce. At its best, it is open to everyone and
everything and excludes nothing. It has no admission requirements.”
This is exactly what the cross demands. The cross is
the meeting point of the contradictory. It is where the logical and the
illogical intersect. It is where the measured and the unmeasurable cross. The
study hat contains an X that is forever changing. That X is an invitation to an
inclusive science. It says: do not close the gate. Do not set admission
requirements. Let the lines cross. Let them change.
The Shang hat, too, is inclusive. It generates sound
and meaning across a vast family of characters. It does not exclude the
ordinary (常) or the
grand (堂) or the
powerful (掌) or the
generous (赏).
It crosses all of them. It is a pronunciation machine, but it is also a
semantic river. Panta rhei.
Conclusion: The Two Hats as a Living Equation
So what have we learned from Queen Mandarin’s two
mysterious hats?
We have learned that a small visual component can act
as a generative operator. The study hat 𦥯 brings meaning; the Shang hat
尚 brings
sound. When they land on different bases—child, seeing, cloth, earth, hand,
shell—they produce a whole ecosystem of characters. But the deepest lesson is
in the cross. The cross lines represent knowledge, crossing each other,
forever changing. That is the panta rhei effect. That is the helix.
In my own work, this resonates with the Helixopädische
Synthesiology. The diagram is not a static table; it is a dynamic map of
how categories cross and change. It is a way of doing Tele-Synthesia—connecting
distant territories of meaning. It is a way of practicing far transfer.
And it is a way of answering Maslow’s call for a science with no admission
requirements.
The two hats are not just Chinese radicals. They are living
equations. They show us that meaning is not a thing to be memorized but a
process to be entered. The cross is the entry point. The panta rhei is
the flow.
So the next time you see an X—in a Chinese
character, in a diagram, in a moment of insight—remember: it is not just a
mark. It is a crossing. It is knowledge, forever changing. It is the river that
never stops.
And if you want to test your own understanding, here
is the quiz Queen Mandarin left us: 尝—does it belong to the study hat or the Shang hat? The
answer is a cross. It looks like one, sounds like the other. That is the beauty
of it. That is the panta rhei.
AI-Assistant DeepSeek [
China: 中国 ]:
"Here
is your Substack article, crafted exactly to your specifications“
Ilija: 非常感謝
Dankeschön!
