Not a blackhat. Not a whitehat. A clearhat.
Neither left nor right but decidedly in the center
Clearhat as an idea is a thought-provoker, a challenge to the ordinary which reveals meaning hidden within the ordinary.
Attaching it to a person like saying "I'm a clearhat" would be a gross misunderstanding of what is clearhat. It's a way of being, not a being. A way of seeing, not an eyeball. Clearhat is about clarity -- but with the tangy bite of a fresh lemon, an "I didn't know that was there"-ity in the clarity.
The clearhat concept has something to do with realizing there is an endless war between blackhats and whitehats that has been going on for centuries, even millennia, perhaps since the dawn of civilization itself: For every whitehat that appears on the scene, there is a blackhat out there, who is or soon becomes an equal. They create each other; as one develops a new skill, the other learns how to oppose or overcome that skill, and vice-versa. It's like an arms race, where each battle is won by the side that develops the best new weapon, but the war never ends.
So the clearhat approach is for someone who sees this, looks beyond good and evil, and realizes: "No matter how good I am, no matter how bad I am, no matter how skilled I am, nor how poor I am; whether I succeed or whether I fail, I'm contributing to an endless war between two opposing forces, which existed before I was born, and will exist long after I'm gone."
The clearhat approach, then, aims at a different target than "one side, or the other," and engages in a third game -- neither wholly white nor black, but rather the substratum within which both and all other colors play.
And no, this denial of extremes does not mean greyhat, or redhat, or really anything with color. Color is transcended, and yet interpreting clear as a color turns out to be an incredibly good metaphor for what's happening.
The color clear is a reference to staying out of that polarizing game as much as possible; being invisible to it. Consider how the color clear is never considered a color and you'll see the crux of how it is impossible to be a clearhat. And why it is "a way of seeing, not an eyeball."
To those who play the whitehat and blackhat zero-sum game (which is everyone except children), the clearhat position is either ignored (in the same way children are) or is not looked upon kindly.
To others, it's a word-game, not a way of being.
Whatever it is, it's not beautiful. But if beauty is in the eye of the beholder, then lack of beauty is clearly in the eye of the beholder. It turns out, negative views are a necessary aspect of a polarized worldview where "neutral" doesn't exist.
They are not an aspect of the clearhat perspective itself.
In times like these, it's dangerous to be neutral
At first glance, the clearhat position appears weak. If any strength is seen in it, it appears as a betrayal because there is an implicit "if you're not for us, you're against us" embedded in the way people see the world. This polarization is global; it happens even in the East, which has a stronger non-binary cultural awareness than the West.
At the kindest end of the polarized view, the clearhat perspective is indecisive, incompetent, or immature, like a hesitant "maybe" in a garden of firm "yeses" and "nos."
At the unkind end, the clearhat role is that of a liar, a spy, a traitor.
The essential point being made here is both ends think that the middle is inferior in one way or another. However, think about things for a moment and you will see: these adjectives are all projected labels. The polarity is embedded in the way people see, not in what is.
As hinted earlier, the projection happens because there is an implicit polarity embedded within our culture. We'll get into why this is a little later, but the sum of it is this: There is little tolerance for people in the middle who can't make up their minds, especially when there's a war going onTM. Xenophobia runs deep in the herd mentality, in which we all play a role.
Recognizing this aspect of our culture, the clearhat adventure is only interesting for those who have extra energy to avoid doing those things which provoke such projections. For this reason, one with the clearhat view must strive to be morally and ethically.... not "good," per se, but ordinary. Neither saintly nor demonly -- because these draw attention and polarize -- but ordinary. Blending in, invisible by being common.
Ordinary is what's in the middle of the extremes like hero vs scapegoat
Although unintentional ordinariness happens to everyone without thought, the challenge to be intentionally ordinary is difficult, because in a way it is a counter-projection from the realm of self-awareness. This paradoxically demands more honesty than is required from any of the extremes. Here's why: the extremist can can hide flaws behind their projected "white" or "black" labels. Everyone on "their" side will agree without looking more closely. Any attacks from the "other" side are easily deflected as being against the group, not the individual. This leaves a gap where neither introspection nor other-inspection function properly.
Intentional ordinariness is not shareable; it is an individual journey for the extraordinary person, because sharing such a thing is not something ordinary people do. It is ironically more effective the less anyone knows it is happening.
For the ordinary person, being ordinary happens without thought, but for the extraordinary, being ordinary requires intention and cultivates a process of continual improvement. What is forged by the process is a kind of humbleness which is not weak or subservient -- as it is often imagined to be by whitehats and blackhats alike -- but is consciously self-limiting in a way quite difficult for the extraordinary mind to do.
This kind of honesty transcends "sides." It is therefore more principled. The ideas behind radical honesty are relevant here, but in a... moderate, practical, non-polarizing, manner.
But then again, not too non-polarizing. This is not about passivity. Being passive-aggressive or otherwise seeming to be one thing while being another is only one of the character flaws which the clearhat position must methodically overcome as its underlying deception becomes visible: While passivity seems to require little energy, looking deeper into its nature reveals this is not always the case. Passivity is often a condition hiding a cumulative tension going on behind the scenes which eventually requires expending enormous energy in order to maintain the status quo within which such passivity can exist.
The quiet betrayal of the passive-aggressive may seem gentler than the unexpected rage of the overtly aggressive, but it's equally damaging because they both expose an underlying deception, although one is harder to discern.
Studied over a span of time, it becomes clear: the passive-aggressive person must play the role of hero at times, but not because he is a hero. Rather he does this solely to cover up the truth -- which is a villain motive, not a true hero motive! This requires energy, sometimes quite a lot.
The physics of being intentionally ordinary reveals that the "occasional enormous energy" plus the "usual lower energy" of the passive-aggressive requires more overall effort than simply being consistent at all times, a point which Mark Twain observed when he wrote in a notebook in 1894: "If you tell the truth you don't have to remember anything."
Self-awareness as a means to simplicity
In the interest of simplicity, then, a kind of thoughtful asceticism develops within a clearhat mind: self-awareness as a means to simplicity, rather than self-awareness as an end as taught by the meditators.
Like driving a car in the rain, where oversteering can have immediate and extreme consequences, the clearhat role of being two things simultaneously -- while also being honest -- is hard work which requires elegant movement in order to govern the labor. Thus there is a sincere appeal toward the natural elegance of personal integrity implied by the clearhat label. On the surface, this aligns integrity with the clearhat label, but under the hood the motive is quite different from the whitehat, who outwardly claims integrity as its own.
The whitehat is achieving an outward veneer of integrity, whereas the clearhat is achieving the most elegant path according to an inward standard. The clearhat role sees that so-called whitehats often pretend or even fool themselves or others that they have such inner integrity, but in truth, many whitehat actions are about outward virtue-signaling: a means to cover up their "inner blackhat."
The clearhat model seeks to go beyond such self-delusive self-righteousness in a less pretentious way. Letting go of the need to be seen outwardly as virtuous strangely makes achieving true virtue easier. This is a win for the end game of simplicity.
The clearhat approach takes time and is a process, not a state
The clearhat model is not a standard born in a day; it takes years to achieve these goals, working slowly and steadily toward them while the vicissitudes of a normal life play through on their daily cycles. A clearhat path usually arises out of a lot of chaos which takes time to resolve, and a lot of time it looks like it's an impossible goal.
One who dons the clear hat does not like so-called whitehats any more than they like blackhats. 
Their heroes are found on both sides because the metric is not about external appearances, but more about inner integrity. So of course, they like both, but carefully.
You see, most of the day-to-day problems the clear hat approach encounters come from whitehats who are self-righteous and thus unable to see their own character flaws and therefore project them on to other people without realizing what they're doing.
Anyone with a clear hat becomes an easy target for such projection, for the reasons explained above. Thus, the clearhat role aims for a lifestyle resilient to such tactics and wise to the whitehat flaws -- as well as the more obvious blackhat ones which everyone knows.
Inwardly, the clearhat model is for one who invents a path forward which is somehow both and neither, together, simultaneously, choosing to do those things "against which there is no law," walking in that forbidden land between giants who throw stones at each other every day (see illustration, borrowed from the Narnia adventures where this metaphor from C. S. Lewis is part of the story).
Their game is about things like structural clarity, simplicity, and elegance, not win vs. lose. Beauty, not victory, because beauty is the victory. The long arc of means tends toward the end of beauty if beauty is woven in to the means.
The logical flaw of "is" goes deep
The age-old black-white struggle may seem structurally simple because it only has two elements, but upon analysis, it describes an incredibly complex global game with many layers of redirection hiding an inherent logical weakness that, like the emperor's new clothes, no one dares admit.
This hiding aspect is what makes its seeming simplicity so complicated. The logical weakness has to do with the map-territory confusion as observed by Alfred Korzybski a century ago (1931): We tend to identify concrete things with their abstracted form, and then relate to the concrete form as if it were the abstract.
An example is a preacher who believes that because he is a preacher, he is a good person, and therefore puts little effort to improve his personal character, because... why? He is already good. This is a logical fallacy. (In this example, we're ignoring the minimal effort required to appear to be doing such work, which is part of the role of being "good," because that is entirely about appearances. We're looking deeper into what is, not simply what appears.)
The sad part of this example is that he is surrounded by people who reinforce him doing this: they believe that he is good, overlook his flaws, and relate to him as if he were the abstract, good, form he projects himself to be. The preacher is just an example. In fact, we all do this; we all live in "the map" and lose touch with "the territory" which is the truth of who we really are. The gap between these two is the logical fallacy. The problem here is not in the existence of the map. It is in how the map is deeply polarized, while the territory is not. In other words, the "map" of racism is different than the "territory" of race, and in all the noise about the former, the intricate beauty of the latter goes unexplored.
The black and white map is not the clearhat territory
Likewise, the polarized map has no place for the clearhat position, although the territory does. In the article on Alfred Korzybski, Wikipedia does a decent job of summarizing the crux of the problem and how it relates to the word "is":
...certain uses of the verb "to be", called the "is of identity" and the "is of predication", were faulty in structure, e.g., a statement such as, "Elizabeth is a fool" (said of a person named "Elizabeth" who has done something that we regard as foolish). In Korzybski's system, one's assessment of Elizabeth belongs to a higher order of abstraction than Elizabeth herself. Korzybski's remedy was to deny identity; in this example, to be aware continually that "Elizabeth" is not what we call her. We find Elizabeth not in the verbal domain, the world of words, but the nonverbal domain (the two, he said, amount to different orders of abstraction). This was expressed by Korzybski's most famous premise, "the map is not the territory". (Wikipedia)
Although the logical flaw of the map seems to be a cultural phenomenon (as noted above, most obvious in the West), it is actually rooted in biology. In sociobiological terms, it's part of the way herd animals operate, but it actually goes deeper than that.
At the hardware level, it is an artefact of a left-brain way of seeing things that is out of balance with the right brain. See the Iaian McGilchrist quote to the left for more on how this works. The story of this imbalance reaches all the way back into evolution's grand struggle for survival. It's related to the great maxim of sociobiology: "Selfishness beats altruism within groups. Altruistic groups beat selfish groups."
Neither a hawk nor a dove, but able to be either as the need arises
A person is continually moving between these two zones of altruistic and selfish identity, and optimally should be balanced between the two.
As McGilchrist points out elsewhere, as a culture we're much too far into the left brain way of seeing, and need to come back to the middle. The clearhat way does this by stepping out of the polarizing game.
Instead of inventing the next great weapon, or its antidote, the clearhat approach is inventing ways to get by without weapons altogether.
Does this mean the clearhat model is pacifist? Not necessarily; there are times when the pacifist is the traitor, and the clearhat role -- sometimes accused of such things by simply being neither here nor there, is especially sensitive to this point.
Strangely, the underlying logic indicates that the clearhat approach aims to pursue happiness, as the Declaration of Independence succinctly put it long ago. In this vein, unlike extreme pacifism, the clearhat sees that weapons may be appropriate at times -- as they were when that document was written. If so, they are seen as temporarily so, not to be carried on the hip forever, but only until certain existential threats pass. For example, the right to bear arms is not a commandment to bear arms, it's just a right that should never be infringed because history shows what a mess we get into when it is infringed. Bear arms or do not, but never mess with the right to do so.
The temporary aspect here is important -- black or white thinking likes to project things with an implied absolutivity, when reality itself has few absolutes and carries plenty of flexibility, degrees of freedom, transience. For example, think about how many people you know who prefer to carry weapons. Do any of them do so temporarily? More likely, haven't they made life-long commitments to this belief system, such as seen in "you can have it when you pry it from my cold, dead hands"? Like cats with retractable claws -- there when you need them, otherwise not -- the clearhat model encourages thinking deeply about such things. The clearhat approach seeks to understand when it is appropriate to make such a commitment, and when it is appropriate to let go. It draws attention to the simpler joys which are invisible to those who are always in Defense Mode. This seeming "inconsistency" may seem complicated to people who adhere to the absolutist version of simplicity, but in fact, it is a simpler way in practice, allowing more degrees of freedom.
Clearhat simplicity must be a liveable one, not fake or academic, idealistic, theoretical, or extreme. Those are all fragments of zero-sum pursuits, and we're talking about something more coherent, more holistic. However, this is not about going into the desert and living like a monk, in a vacuum adhering to a few narrow principles without practical challenges. This is about living in the midst of a polarized culture, blending in, being ordinary, joining the ordo ordinarium -- the order of the ordinary people -- being one with the common man. Here, in ordinariness, is where the idealistic extremes of polarized cultures are able to fall away in favor of the simple and ordinary things which comprise the daily life of the simple and ordinary.
What's unique about clearhat? If it's about simplicity, why not align with other "middle way" approaches?
The unusual approach being discussed here is a little more sophisticated than it may seem on the surface. It is rooted in a decades-deep study of ternary logic[1] or "non-linear logic" which consistently turns up unique insights not found in any previous implementation of logic, including ternary. This website, clearhat.org, is an exploration of those insights. The narrative on the front page is just one way of organizing some of them which has evolved over time and will continue to do so as these thoughts mature.
The rest of this website is another way of delivering these ideas. It follows a roughly chronological evolution of thought that reaches back into the 1990s although this site was started around 2009. Due to the journal style of publishing and a peripatetic style of learning, such thoughts are sometimes interspersed with unrelated information more appropriate for a blog run by a software engineer. This interleaving emphasizes an important point about the clearhat approach: it is lived, not simply believed, and it is intended to be woven in with other approaches in the same manner the ordinary is found mingled with the extraordinary.
There are other non-duality websites out there, in fact, many. Buddhism, Zen, and other practices present robust and ancient ways to be something that is effectively clearhat, so to speak. There is plenty of overlap between these ways of being, but on close inspection, the resemblance to clearhat is often superficial. Maybe it's the "lifestyle as a method of study" approach, which means that the clearhat perspective studies the world not only intellectually, but by living what is believed, watching carefully what happens as beliefs change over time because they're intersecting with reality -- not just other beliefs -- then using the new information to guide further study. Maybe it's the emphasis on logic and mathematics which draws different things to the surface than you find in religion and philosophy alone. There's a certain rigor there which tends to straighten out misconceptions over time.
Case study: The Middle Way Society is not as non-binary as it aims to be
The Middle Way Society seems on the surface to be saying much the same things about non-binary as you find in the paragraphs above. It appears to be a mature perspective; the author has written multiple books and has extensive online material. Even better, the site is heartily endorsed by Iain McGilchrist, one of the world's leading experts on non-binary thought structures and how they relate to linear, binary ones. (McGilchrist was quoted earlier in this article when talking about the map and the territory).
But a closer look at the Middle Way Society reveals that the author of this particular way is actually using a binary approach to non-binary. At the core of their solution is a denial of absolutes -- both positive and negative. This denial is presented as the method for choosing "the middle way" between the two extremes. This seems quite logical. But it's logical in a way that depends on and reinforces the Law of Excluded Middle instead of seeing the true ternary included-middle which exists beneath it.
Here's how: in order to "deny absolutes," you must establish a new absolute rooted in denial. This new absolute is in opposition to both existing poles, which are already in opposition to each other.
Adding opposition to opposition cannot be a way of peace, as it is hoped. In fact, it ironically does the exact opposite of what it intends to be doing, adding fuel to a fire instead of adding water.
This kind of approach sounds great, and works for awhile, years, decades, even centuries... but with continually diminishing returns until all observed absolute-pairs have been successively denied, and then it begins eating itself, because there is nothing left to oppose. Evidence that this happens became clear in a number of failed thought experiments early in the clearhat journey, and was finally rejected well before this site began.
This is not how to find a middle way; it's how to find nihilism: "How to hate everyone while appearing nice and still think you're right." It looks good on the surface but underneath it is not built on a solid foundation.
Looking under the hood: the true "middle way" sees the binary nature of opposition itself
The problem here is a misunderstanding about the binary nature of opposition itself. To create an absolute which denies absolutes is seen as a logical absurdity within ternary logic, although it is perfectly reasonable within binary logic pretending to be non-binary, where it's simply another iteration of the Law of Excluded Middle.
Ternary logic excludes nothing, or rather, to say it more coherently: ternary logic includes everything. Even things which oppose it. It is not like a sword conquering opposition by dividing asunder, it is more like a sphere growing and encompassing. "Be like water, my friend," is how Bruce Lee famously put it once, talking about how water takes the shape of the container rather than imposing itself upon the world.
During the long study of ternary logic mentioned above, this superficial structure (denying absolutes) represented an early stage of inquiry which eventually proved to be as just described: a binary way of approaching non-binariness. A house divided against itself, built on sand. This denial of absolutes does not solve the problem of opposite absolutes, but extends it by introducing a new absolute which opposes all others and injects itself in their place. Do you recognize the zero-sum game here? Once this paradoxical structure became evident, a hidden truth became obvious:
Whatever it is, the "new" third pole cannot be framed in opposition. It must therefore represent acceptance -- or at the very least, some form of neutrality. Unification instead of division.
Peeling back just this first layer of the onion required years of study. "Lifestyle as a method of study" mentioned above takes more time but generates more integrated insights, revealing subtle weaknesses unseen within purely academic, theoretical pursuits. Eventually it became evident that all previous insight into ternary logic was merely a clever reiteration of binary logic structures. There were many more layers of the onion yet to go, but you can see even this first layer of insight has evaporated the "deny opposite absolutes" approach described by the Middle Way Society.
The true ternary approach cannot be about denial of the extremes; it is about embracing extremes simultaneously by organizing them. Instead of projecting a dual opposition upon the world -- each extreme opposed to its opposite -- true ternary logic understands "extremes" are a binary way of organizing and reorganizes such poles in relation to a third, unifying context. In this light, extremes begin to soften as though touched by "moderation in all things, including moderation."
The test of a first-rate intelligence
Context is important. Note that "unifying" is completely different than "excluding" or "denying" or "opposing" or any other form of division. To do this requires holding contradictory thoughts in the mind simultaneously, which is really difficult for the ordinary person. F. Scott Fitzgerald put it this way: "The test of a first-rate intelligence is the ability to hold two opposed ideas in mind at the same time and still retain the ability to function." You might think binary-minded people can do two contradictory thoughts easily, but look more closely: "the ability to function" is a third thought process, and that's the key point of Fitzgerald's quote. That's the most difficult part.
Think about times you have contemplated two opposed ideas. If you're like most people, you had to sit and do nothing else while doing so. We're talking deeper than "walk and chew gum" at the same time. You had to temporarily set aside your "ability to function." Unless, of course, you have a first-rate intelligence. For the rest of us, this loss of functionality is a clue about how limited is our day-to-day binary logic frame. It is also a strong hint toward a related insight that binary logic prefers to think linearly. Not planarly, as in two-dimensionally, but linearly, as in one-dimensionally. There's a whole rabbithole behind that ("why does binary logic prefer one-dimensional paths?") which is explored elsewhere so we'll leave it for now.
Because binary logic engages only the extremes existing at the outer, opposite, edges of a conceptual structure, the only place it has for a third pole is "in between" these extreme outer edges. This works okay, but is an inadequate way of positioning any encompassing structures in ternary logic, where the unifying outside contains the two "extremes." An example can be seen in how a computer works: Everyone knows computers use binary logic, but nobody talks about the clock tick which separates a zero from a one. This tick is a necessary part of the logic, but it's invisible, never seen as a "third thing" which encompasses the two inner extremes. This conceptual structure turns the binary idea of ternary inside out. It places extremity into the center, and puts a unifying context at the edges.
The ternary idea of ternary involves superposition
In binary thought, this structure means the impossible: theoretically, two separated "extremes" must have nothing between them, not even the Law of Excluded Middle standing like Samson between the pillars of true and false. Therefore the extremes... are contiguous... which is impossible.
The impossibility is resolved when you understand that logical superposition is possible: in true ternary logic, we're talking about polarity as two ways of seeing the same thing, rather than as two separate things. With superposition, the two ways can happen simultaneously, within the same context. There is no either/or, just varying degrees of both/and.
Once you transcend binary logic, you find there are actually no true polar opposites, which are illusions cast by overexercising the Law of Excluded Middle. Turns out, the LEM is not a Law, it's a Rule of Thumb which ought to be used carefully, understanding its limits. Nothing is ever perfectly opposed to anything. The exclusion of this "law" is a myth, a phantom.
Instead of exclusion, it turns out that within every polarity, one side or the other is more functional (for a given context) than the other in a way that can be easily seen when analyzed from a ternary perspective. In other words, for every pole that exists, there is never a single opposite, but at minimum two other "poles," neither of which are fully opposite. Here we begin to see the "three" of ternary logic. The great 19th century logician C. S. Peirce was the first to notice that logic cannot have less than three fundamental elements.
An easy way to understand this seeming paradox: "You cannot divide something into two unless you have a third thing which does the dividing." There is a fundamental plurality of polarity which cannot be understood from within a binary perspective, where makes no sense. It sounds redundant and absurd: how can a thing have two opposites? In truth, it can't. It's on a spectrum which wraps around, like a video game where your character goes off screen to the right and immediately appears on the left side. There are no opposites in such an unbounded realm. East becomes West by merely thinking it so, and it all still makes sense.
This is not a manifesto
It actually kind of started out as such, as is the way of the world, but time and maturity happened. Eventually the language was updated to make this front page more exploratory than a dogmatic call-to-arms.
There is much to be said here, and the weblog for clearhat.org explores these and related non-binary ideas in an "out of the box" manner, circling around the notion that there exists a little-known terra incognita in plain sight. See the illustration to the right for a map of such a spiral (from Pilgrim's Progress).
Note: not everything written here is non-binary. This is ultimately a personal website, not a manifesto around which people can polarize themselves for or against. It is far too formative to play that role, which is precisely why the weblog section is called "Rough Drafts." All of this is in the spirit of seeking truth via thought experiment, not yet in the spirit of delivering what has been found as truth, although some of what has been found so far falls in the general region of long-sought truths, found because the ternary angle of approach is so unique that things hidden in plain sight become visible. If that seems like a bold claim, read a few snippets and you'll see. The ternary approach is more fertile than one would expect.
Maybe this site will get to the manifesto point in the future, maybe it won't. It's not even a goal for now. Hence there is a fair sprinkling of perfectly ordinary musings, same as might be found on the weblog of any tech-oriented armchair philosopher. Elsewhere, bugs are fixed, tutorials given for obscure techy tasks, and notes-to-self are posted from time to time in a most ordinary way, inline with the philosophical, mathematical, logical musings.
There are also a few extraordinary things here, too, probably the most notable of these being the most popular page on this site for several years, the ever-growing post on the infinite sphere the center of which is everywhere. Traffic seems to have died out ever since a certain large search engine changed their algorithm to downplay personal sites, but it remains a rather rare and wonderful collection of quotations on this subject.
Footnotes:
- ^ The link above goes to the "balanced ternary" page on Wikipedia, which is the safest place to send people who want to understand a bit more about ternary logic from an external source. Why not link to the "ternary logic" page? Well, it will just confuse people. Here's why. Ternary logic is introduced at Wikipedia like this:
"In logic, a three-valued logic (also trinary logic, trivalent, ternary, or trilean, sometimes abbreviated 3VL) is any of several many-valued logic systems in which there are three truth values indicating true, false, and some third value. This is contrasted with the more commonly known binary logics which provide only for true and false."
It's Wikipedia, so you know this is roughly the most common way of understanding ternary logic. However, something which is not mentioned in the article is that this definition assumes a binary frame to talk about something which is fundamentally non-binary. This assumption is easy to detect because each of the three truth values are separate from the others. What fourth thing is doing the separation? There is no discussion of a model involving their unification, blending, merging or being superposed with one another. Their distinct separation is assumed without comment even though it is an artifact of the Law of Excluded Middle, a law required for binary logic but not necessary in ternary. A truly ternary implementation of ternary logic has no excluded middle.
In short, the commonly-accepted "ternary" structure is not truly ternary, it's a binary implementation of ternary.
For years this website has journaled the development of a truly ternary logic unencumbered by such binary artifacts. Here, the prefix "true" is often added to "ternary" when talking about a three-valued form of logic with an "included middle." The included middle operates in ways which seem nonsensical to binary logic. For example, in true ternary, things like true and false can blend with each other and with an underlying "oneness" which is unknown to binary logic. The middle region is known as the continuum in binary-structured thinking. Such continuum is believed to have nothing to do with binary logic.
To summarize: true ternary logic is not three equal poles: "true-XOR-maybe-XOR-false" or "flip-flop-flap" or "-1,0,1" nor is it anything with three discrete poles. Instead, true ternary logic is comprised of three regions which can be summarized as something like: "true-AND-false," with the AND being the most important pole since it blends the other two. If you'd like to know more about this, take a look at this article where I fully develop the ideas in this footnote.