Vol. I · No. 1ISSN 0000-0000
Acta Observationum · Vol. I · No. 1pp. 123–128
THEORETICAL NOTE

Reading Wondereal with Oyo

On nested belonging: selection by index against selection by mask, and the zero as a sleeping relation

Katerina Solstad1
1 Independent Researcher, Boston, Massachusetts
DOI10.0000/acta.obs.2026.029
ArticleNo. XXIX, Vol. I
Received21 July 2026
Accepted21 July 2026
Published21 July 2026
IssueSummer 2026, Boston
Abstract

Two methods of selecting elements from an ordered structure are compared, taking as the test structure the twelve months of the calendar and as the selection the set {January, May, September}. Under extraction into a nested array of character vectors, the selected names are shown to preserve their own shapes (7 3 9) while losing their visible positions (1 5 9), that is, their relation to the structure which conferred their meaning. Under a Boolean mask (1 0 0 0 1 0 0 0 1 0 0 0), the same selection is shown to preserve order, distance, and belonging, the unselected positions persisting as zeros rather than being deleted. The construction is then extended one level downward, each letter being treated as a mask over its alphabet, and one level upward, the observer's field of vision being treated as a mask over the sky. The principal result is negative and is stated as such: a mask of all ones is not maximal information but the abolition of distinction. Legibility is therefore shown to depend on the sleeping positions. The paper read in the field is entered as Fig. 26.

Keywords · nested arrays; Boolean mask; selection; indexing; zero; alphabet; calendar; stars; Aya; Oyo; Aplogos

Aya was reading a paper about APL datatypes with her friend Oyo from Aplogos.

Oyo liked to think in nested arrays and binaries. Aya always felt related to binaries. She imagined them as sleeping and awakened bunnies.

The document under joint reading, 21 July 2026. Smith, R., “50 Years of APL Datatypes,” Sudley Place Software, written 29 Sep 2016 and updated 11 Jul 2017. The passage attended to is that in which the author observes that a new datatype obliges every existing primitive to be re-evaluated in its light. The present note records the same effect occurring outside the language.
Fig. 26.The document under joint reading, 21 July 2026. Smith, R., “50 Years of APL Datatypes,” Sudley Place Software, written 29 Sep 2016 and updated 11 Jul 2017. The passage attended to is that in which the author observes that a new datatype obliges every existing primitive to be re-evaluated in its light. The present note records the same effect occurring outside the language.

1. The ordered field

They began with months. There was an ordered array of twelve:

January, February, March, April, May, June, July, August, September, October, November, December.

Aya selected three: January, May, September.

As names, their shapes had lengths:

7 3 9

But as months, they belonged to positions:

1 5 9

2. What extraction removes

When Aya extracted the three names and placed them together as nested character arrays, she preserved their spellings and their different shapes. But something had disappeared.

January was no longer visibly the first month. May was no longer visibly the fifth. September was no longer visibly the ninth.

They had retained their bodies but lost their visible relationship to the calendar that had given them meaning.

3. Selection by mask

Oyo showed Aya another way to select them:

1 0 0 0 1 0 0 0 1 0 0 0

Now January, May, and September were the awakened bunnies inside the field of twelve months. The other months had not been erased. They remained as sleeping positions, preserving distance, order, and belonging.

Extraction (nested)shapes preserved; positions lost
Mask (Boolean)positions preserved; field retained
1awakened bunny — visible
0sleeping bunny — related, not absent
Deletionnot performed at any stage

4. Downward: the letter as a mask

Then Aya thought about letters. What if each letter were not stored only as an isolated character, but as a mask over the alphabet of its language?

The letter J would be one awakened position inside the whole alphabet. The name January would be a nested array of letter masks. Each letter would remain related to the alphabet, while all seven letters together formed a name.

The name would belong to the month. The month would belong to the calendar. And the chosen month would belong to the selection.

An extracted thing could still carry the relationships of the larger structures from which it came.

“Nested belonging,” Aya said.

5. Upward: the sky as a field

That night, Aya looked at a small part of the sky where only three separate stars were visible.

“How many stars are really there?” she asked Oyo.

Aya looked again at the small chosen part of the sky. In reality, she thought, that space must contain many more stars than she could see. The sky was immensely deep, and in that depth more invisible stars might appear. If Aya could see infinitely far, perhaps every sleeping bunny would awaken.

The small dark patch would become solid light.

Aya transferred the thought to the whole sky and became deeply grateful that she could not truly see into infinity. A sky made of uninterrupted light felt blinding even in imagination.

“Oyo, I just saw all your binaries awaken into ones. It was frightening. I am glad there is a mask over my vision, so I can see only three stars there — three awakened bunnies in a field of sleeping ones.”

6. The zero

The three stars were not isolated as an array of three lights of different sizes. They belonged to the invisible ones between and behind them.

The darkness did not mean that nothing was there. It meant that nothing there had become visible to Aya.

A zero was not an absence. It was a sleeping relation.

The three visible stars remained nested in the chosen patch of sky, the visible sky, the galaxy, the deep universe, and Aya’s act of seeing.

Their light belonged not only to the stars. It belonged to the encounter: the universe, distance, time, light, and Aya’s eyes.

7. The limiting case

If every position became visible at once, distinction would disappear. There would be no star and darkness, no figure and field, no signal and interval.

Everything would be present. Nothing would be articulated.

Aya understood that the mask over her vision was not only a limitation. It was what allowed the sky to speak.

The alphabetheld its letters
The calendarheld its months
The darknessheld its stars
All positions awakeno figure, no field, no reading

Nothing appeared alone. Wondereal was made of nested belonging.

References
  1. [1]Smith, R. (2016, upd. 2017). 50 Years of APL Datatypes. Sudley Place Software. On the datatype that obliges every primitive to be re-read.
  2. [2]Iverson, K. E. (1962). A Programming Language. On compression by Boolean vector, in which the unselected are not removed but withheld.
  3. [3]Acta Obs. XI, “The Enclosure — and its Disclosure,” on the item that carries its structure with it.
  4. [4]Acta Obs. XXVIII, “Encounting,” pp. 117–122. On the value carried by what is not seen.
  5. [5]Acta Obs. XXIII, “Aya,” pp. 91–94. On the encounter as the site at which a thing is counted.

Author statement · The three stars were not identified and are not claimed to be three. The journal notes that the author's inability to see to infinity is here reported as a result rather than a limitation of the apparatus, and that no attempt was made to correct it. Oyo of Aplogos declined authorship on the ground that he had contributed only the mask. The author declares no competing interests and twelve months, nine of them asleep.

Conflicts of interest · The author declares no competing interests.

Funding · This work received no external funding, only tea.

Cite as · Solstad, K. (2026). Reading Wondereal with Oyo. Acta Observationum, I(1), pp. 123–128.