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    Home » Why is it so hard to describe consciousness with words? How math might help us capture our experiences.
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    Why is it so hard to describe consciousness with words? How math might help us capture our experiences.

    morshediBy morshediMarch 28, 2025No Comments8 Mins Read
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    Why is it so hard to describe consciousness with words? How math might help us capture our experiences.
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    The concept language is a slipshod, imperfect instrument for capturing the depth and richness of our experiences is ancient. For hundreds of years, a gentle stream of poets, philosophers, and non secular practitioners have pointed to this indescribability, the troublesome undeniable fact that our experiences are ineffable, or bigger than what phrases can talk.

    However as a frenzy of developments throughout AI, neuroscience, animal studies, psychedelics, and meditation breathe new life into consciousness analysis, scientists are devising new methods of, perhaps, pushing our descriptions of expertise past the bounds of language. A part of the hope behind what mathematician and physicist Johannes Kleiner recently termed the “structural flip in consciousness science” is that the place phrases fall quick, math could prevail.

    “My view is that mathematical language is a manner for us to climb out of the boundaries that evolution has set for our cognitive methods,” Kleiner informed Vox. “Hopefully, [mathematical] construction is sort of a little hack to get round a number of the personal nature of consciousness.”

    For instance, phrases might give you a poem in regards to the feeling of standing on a sidewalk when a automotive driving by splashes a puddle from final night time’s rain straight into your face. A mathematical construction, however, might create an interactive 3D mannequin of that have, exhibiting how all of the completely different sensations — the odor of moist concrete, the maddening sound of the automotive fleeing the scene of its crime, the viscous drip of soiled water down your face — relate to at least one one other.

    Structural approaches might present new and extra testable predictions about consciousness. That, in flip, might make a complete new vary of experimental questions on consciousness tractable, like predicting the extent of consciousness in coma patients, which structural concepts like Integrated Information Theory (IIT) are already doing.

    However for my cash, there’ll at all times be a niche between even one of the best structural fashions of consciousness and the what-it’s-like-ness of the experiences now we have. Mica Xu Ji, a former post-doctoral fellow on the Mila AI Institute and lead creator of a new paper that takes a structural method to creating sense of this longstanding truth of ineffability, thinks ineffability isn’t a bug, it’s a function that evolution baked into consciousness.

    From people to machine studying fashions, info loss is a typical drawback. However one other manner to have a look at dropping info is to see it as gaining simplicity, and ease, she defined, helps to make consciousness generalizable and extra helpful for navigating conditions we haven’t skilled earlier than. So perhaps ineffability isn’t only a drawback that locks away the total feeling of our experiences, however can be an evolutionary function that helped us survive by the ages.

    In principle, understanding the exact ineffability of an expertise is fairly simple.

    Ji and her colleagues started with the concept the richness of conscious experience is dependent upon the quantity of data it accommodates. We will already take real-world reads of richness by measuring the entropy, or unpredictability, {of electrical} exercise within the mind.

    Her paper argues that to gauge ineffability, all you’d want are two variables: the unique state and the output state. The unique state may very well be a direct measure of mind exercise, together with all of the neural processing that goes on beneath acutely aware consciousness. The output state may very well be the phrases you produce to explain it, and even the narrativized ideas in your head about it (except you may have no inner monologue).

    Then, evaluating these numbers would provide you with an approximation of the ineffability. The extra info misplaced within the conversion of expertise to language, as measured by evaluating the relative entropy of the unique and output variables, the higher the magnitude of the ineffable, or the knowledge that language left behind. “Ineffability is about how info will get misplaced as stuff goes downstream in mind processing,” mentioned Kleiner.

    Now, consider the lengthy arc of human evolution. Ineffability implies that consciousness can produce easier representations of the overwhelming richness of pure expertise, what the American thinker William James famously called the “blooming, buzzing confusion” of consciousness. Which means encountering a pissed-off tiger will be generalized to the broader thought that every one massive cats with huge enamel could pose a menace, quite than constraining that lesson to solely that particular tiger in that particular context.

    In machine studying fashions, as in people, simplicity helps generalization, which makes the fashions helpful past what they encounter of their coaching knowledge units. “Language has been optimized to be easy in order that we are able to transmit info quick,” Ji mentioned. “Ineffability, or info loss, is a elementary function of studying methods that generalize.”

    Ache, well being, and the mundane potential of cracking ineffability

    Ineffability is commonly related to mysticism, poetry, or heady conversations in regards to the nature of the thoughts. Or now, the maths of data principle and the evolutionary function of consciousness.

    However ineffability additionally performs a job in additional speedy and mundane issues. Take persistent ache. Some of the widespread approaches to understanding what somebody with persistent ache is experiencing is to have them self-report the depth of their ache on a scale from 0 to 10. One other, the Visual Analog Scale, asks them to mark their ache depth alongside a 10-centimeter line, zero being no ache and 10 representing the worst doable ache.

    These are … not essentially the most detailed of measures. Additionally they smuggle in assumptions that may distort how we perceive the ache of others. For instance, a linear scale with equal areas between every doable quantity means that assuaging somebody’s reported ache from a 4 to a 3 is roughly much like dropping another person’s from a 9 to an eight. However the experiential distance between an eight and a 9 may very well be orders of magnitude higher than between smaller numbers on the size, main us to drastically underestimate how a lot struggling individuals on the excessive finish of the spectrum are enduring.

    Kleiner defined that structural approaches to representing ache can have the identical impact as transferring from a 2D picture to 3D. “Structural analysis can distinguish not solely location, however completely different qualities of the ache. Like whether or not it’s throbbing, for instance. We might simply have 20 dimensions.” And every dimension provides extra richness to our understanding of the ache. That might lend motivation — and funding — to treating a number of the world’s most debilitating situations that lack efficient remedies, corresponding to cluster headaches.

    The identical precept applies to mental health. Many mental health indicators rely on self-reporting the richness of our inside expertise on linear scales. But when structural approaches to consciousness can render 3D representations of expertise, perhaps they’ll add some richness to how we measure, and subsequently handle, psychological well being at massive.

    For instance, neuroscientist Selen Atasoy has been creating the concept of “brain harmonics,” which measures electrical exercise within the mind and delivers precise 3D representations of moments of expertise. With these representations, it’s doable that we might study extra about their nature, just like the amount of pleasure or pain, by operating mathematical analyses primarily based on the harmonic frequencies they include quite than asking the particular person to report how they really feel by way of language.

    Structural approaches and math absolutely have their limits. Galileo kicked off the scientific technique by assuming that the universe is “written within the language of arithmetic,” which demotes the ineffable depths of human expertise to, apparently, one thing irrelevant to science. Reviving that concept with extra superior math would be a mistake.

    However language, perhaps by design, won’t ever seize the total richness of consciousness. That may be to our profit, serving to us generalize our expertise in an ever-uncertain world. In the meantime, extra exact mathematical buildings to explain acutely aware expertise might additionally convey welcome advantages, from greedy simply how intense ache will be to conveying essentially the most blissful of pleasures.

    A model of this story initially appeared within the Future Perfect publication. Sign up here!

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