Thursday, June 18, 2026

Infinity as Asemic and also as Polysemic - AI / EZE, 2026

On Drawing

AI

To explain how infinity is asemic, we must first look at the intersection of philosophy, mathematics, and the avant-garde art movement of asemic writing. Asemic writing is a wordless, open form of mark-making that fuses text and image but is completely without specific semantic content—meaning it has no literal, translatable meaning. [1, 2]

Infinity—whether we are talking about endless counting in mathematics, the vastness of space, or the eternal passage of time—is fundamentally asemic because it acts as an "open signifier." Just as asemic scribbles are devoid of a predefined linguistic message to allow the viewer to co-create meaning, infinity is an abstract concept rather than a concrete, definable number. It is boundless, "illegible" to the human brain, and ultimately gives a sense of endless variation rather than containing any single, fixed meaning. [1, 2, 3, 4, 5]
Infinity and asemic expressions are deeply connected through several shared characteristics:
1. The Void of Fixed Meaning
In standard language, a word like "tree" points to a specific, finite object. In asemic art, marks resemble text but carry no specific word. Similarly, the infinity symbol (∞) points to the concept of boundlessness, but it cannot be pinned down, calculated, or reached like a normal number. Because you cannot "arrive" at infinity, its meaning is entirely abstract and endless, behaving like an asemic void that the mind attempts to navigate without ever settling on a final destination. [1, 2, 3, 4, 5]
2. The Illusion of the Esoteric
Asemic writing frequently mimics real scripts—like the enigmatic Voynich Manuscript or the artwork of Henri Michaux—giving the viewer the feeling that a hidden, secret code exists, even when there isn't one. Infinity functions in a remarkably similar way. It implies that if you simply keep going, or counting, or looking, you will eventually find the end or the ultimate truth. However, this is a paradox; infinity guarantees that you will be exploring an endless, unreadable loop forever. [1, 2, 3, 4, 5, 6, 7]
3. Infinite Sequential Variation [1]
In asemic art and neography (the creation of artificial scripts), an artist may create a small, limited set of basic shapes or glyphs. By varying these shapes, arranging them in different sequences, and extending them across a page or canvas, the artist creates the impression that an infinite number of variations could be generated without ever repeating an identical message. The notion of infinity is communicated visually through this "sequential foreverness" rather than through the depth of a single symbol. [1, 2]
4. Mathematical and Geometric Infinity
In mathematics, sets are considered infinite if there is no endpoint. But infinity itself comes in different sizes (e.g., the infinite set of whole numbers vs. the infinite set of real numbers). Similarly, geometric concepts like fractals or the Koch snowflake are built using finite, repetitive steps that ultimately create an infinite perimeter or infinitely zooming layers. This is inherently asemic, as it uses a closed mathematical rule to produce an endless, unknowable visual form. [1, 2, 3, 4, 5]

To explore how these concepts might translate into your own creative or mathematical interests, let me know:
  • Are you interested in asemic art and mark-making?
  • Or would you like to discuss the philosophical or mathematical paradoxes of infinity? [1, 2, 3]

I can tailor the explanation to suit exactly what you are working on or trying to understand.

AI

The concepts of the polysemic (many meanings) and asemic (without specific semantic meaning) are deeply intertwined in the realms of linguistics, semiotics, and visual art, typically explored through how we interpret text and visual communication. While "asemic" describes writing that lacks fixed semantic content, it frequently serves as a bridge to "polysemic" works, where the absence of a single literal meaning invites a limitless array of subjective interpretations. [1, 2, 3, 4]
The relationship between the two can be broken down into their linguistic functions, their intersections in art, and their contrasting natures: [1]
1. The Core Connection: The Paradox of Meaning
  • Asemic text features marks, scribbles, or symbols that look like language but cannot be read literally (like a wordless open semantic form of writing). [1, 2]
  • Because asemic writing creates a "vacuum" of fixed meaning, theorists and artists argue that it is inherently polysemic. [1, 2, 3, 4, 5]
  • When a text has no determinate, intended content, the reader or viewer is forced to project their own experiences onto the symbols to translate them, which naturally yields multiple simultaneous and subjective meanings. [1, 2]
  • Thus, asemic works act as "empty shells" that become highly polysemic, allowing anyone to engage in imaginative translation. [1]
2. Polysemy in Traditional Linguistics
  • In standard linguistics, polysemy is the capacity for a single sign (such as a word or phrase) to have multiple related meanings. For example, the word "bank" can mean a financial institution, the side of a river, or a row of items. [1, 2]
  • Asemic marks, on the other hand, are technically "seme-less" (without distinct semantic units). []
  • The Relation: If a word has multiple established meanings, it is polysemic. If a glyph or abstract scrawl has no established meaning, it is asemic. However, when an artist makes asemic art, observers often interpret these marks as if they were polysemic, assigning them a wide range of fluid, emotional, and interpretive meanings. [1, 2, 3, 4]
3. Application in Visual Art & Literature
  • Pioneered by artists like Henri Michaux, Cy Twombly, and contemporary theorists like Cecil Touchon, asemic writing blends text and visual art. [1, 2, 3, 4, 5]
  • When studying these abstract, illegible scripts, critics often describe them as "polysemic writing" because they force the viewer to look at the work's overall formatting, structure, and emotional resonance rather than a single dictionary definition. [1, 2, 3, 4, 5]
Key Differences at a Glance
Feature [1, 2, 3, 4, 5, 6]AsemicPolysemic
MeaningLacks specific semantic or literal content.Possesses multiple meanings or interpretations.
OriginSubconscious, gestural, or instinctive expression.Rooted in a central etymological or semantic root.
Reader's RoleThe viewer acts as translator, creating their own story.The reader selects the contextual meaning intended by the author.
DomainAbstract calligraphy, visual poetry, "found" noise.Natural language, rhetoric, media studies.
If you are exploring these concepts for a specific project, let me know if you want to focus on:
  • Asemic art and mark-making techniques
  • Examples of linguistic polysemy and how context disambiguates meaning
  • Deconstructionist or Postmodern philosophy regarding the indeterminacy of meaning (e.g., Roland Barthes' "Death of the Author") [1

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spun / EZE, 2026

 


Tuesday, June 16, 2026

An Asemics of Transcendental Number - AI / EZE, 2026

Transcendental Number

Transcendental Number

Transcendentality

Mathematical Transcendence

Uncomputable as Asemic?

On Asemic Math


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AI

Explaining transcendental numbers as asemic means viewing these mathematical values through the lens of art and communication. It treats their infinite, non-repeating digits not as solvable data, but as pure, unreadable expression—a profound visual rhythm that communicates the concept of "the beyond" without using structured human language.
The connection between transcendental numbers (like \(\pi \) or \(e\)) and asemic aesthetics rests on several intersecting properties:
1. The Breakdown of the "Algebraic Language"
In mathematics, algebraic numbers (like rational fractions or square roots) can be expressed as the roots of finite, solvable polynomial equations. You can think of algebra as a structured, clear language with a distinct alphabet. Transcendental numbers, however, refuse to fit this linguistic structure. To translate this to the asemic concept: they break the "language of algebra" entirely. Their digits stretch infinitely without conforming to a predictable, finite vocabulary.
2. Meaning Beyond Comprehension (The Asemic Experience)
"Asemic" means having no specific semantic content or meaning. When you look at the decimal expansion of \(\pi \) (\(3.14159...\)), you are looking at an infinite sequence of symbols. As a number, \(\pi \) has a very specific geometric use (the ratio of a circle's circumference to its diameter). However, as a string of numbers, it is functionally asemic. It defies comprehension, looking like random "noise" or visual poetry. It transcends traditional algebraic methods of description, rendering it a metaphysical text that "communicates" its own boundlessness.
3. The Symbolism of the Unknowable
In visual arts, artists sometimes use asemic writing (mark-making that resembles text but has no literal meaning) to express spiritual or transcendental realities that cannot be contained by words. Similarly, transcendental numbers are the closest mathematical equivalents to "infinity." Because they cannot be captured by finite equations or perfectly pinned down, they evoke a sense of awe, acting as abstract ciphers for a reality that is beyond human measurement.
Would you like to explore how specific transcendental numbers (like \(\pi \) or the Euler's number \(e\)) show up in chaotic patterns in art or music, or dive into the pure mathematics behind how they are proven to exist?

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AI

An asemic of a transcendental number likely refers to an asemanship or formal definition of transcendental numbers—numbers that cannot be the root of any non-zero polynomial equation with rational coefficients. Unlike algebraic numbers (which can be solved via basic arithmetic and roots), transcendental values require infinite processes to express. [1, 2, 3, 4]
The Core Definition
In mathematics, the real and complex numbers are split into two groups: algebraic and transcendental. [1, 2]
  • Algebraic Numbers: These are numbers that solve a polynomial equation. For example, the number \(\sqrt{2}\) is algebraic because it is a solution to \(x^2 - 2 = 0\). Fractions and integers are also algebraic. [1, 2, 3]
  • Transcendental Numbers: These are numbers that are strictly not algebraic. No finite combination of addition, subtraction, multiplication, division, and radicals with rational coefficients will ever yield a transcendental number as an exact root. [1, 2, 3, 4]
As discussed by users on Mathematics Stack Exchange, you have to go beyond or "transcend" standard algebra to construct them. [1]

Famous Examples
The most well-known transcendental numbers are geometric and analytical constants: [1, 2]
  • \(\pi \) (Pi): Approximately \(3.14159...\), it is the ratio of a circle's circumference to its diameter. Its transcendence, proven by Ferdinand von Lindemann in 1882, settled the ancient Greek problem of "squaring the circle".
  • \(e\) (Euler's Number): Approximately \(2.71828...\), it is the base of the natural logarithm and was proven transcendental by Charles Hermite in 1873. [1, 2, 3, 4]
For a visual breakdown of how these sets nest within the real number system, you can review the Transcendental Numbers Definition and Examples guide or the deep dive on Transcendental Number -- from Wolfram MathWorld. [1, 2]

The Uncountable Infinity of Transcendentals
According to a consensus on Reddit, the vast majority of real numbers are transcendental. []
Because the set of algebraic numbers is "countable" (they can be put into an infinite list), while the set of real numbers is "uncountable" (a higher order of infinity), mathematicians know that nearly 100% of randomly selected real numbers will be transcendental. You can explore the mechanics of how infinities separate these numbers on Math is Fun or read the formal proofs on Wikipedia. [1, 2, 3, 4]
If you'd like, I can:
  • Walk you through the proof by contradiction used to show \(\pi \) is transcendental.
  • Explain the difference between computable and non-computable transcendental numbers.
Let me know which area of transcendental number theory you'd like to explore next.
  • Transcendental number - Wikipedia
    In mathematics, a transcendental number is a real or complex number that is not algebraic: that is, not the root of a non-zero pol...
    Wikipedia
  • Transcendental Numbers | Brilliant Math & Science Wiki
    A transcendental number is a number that is not a root of any polynomial with integer coefficients. They are the opposite of algeb...
    Brilliant
  • Recounting the History of Math's Transcendental Numbers
    Jun 27, 2023 — The key to resolving the problem, it turned out, was to cleverly divide the set of complex numbers into two sets, much as earlier ...
    Quanta Magazine
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Question on the word by AI asemanship.
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