Methodological note: This appendix records a personal, AI-assisted research exploration at the intersection of theology, computer science and mathematical logic. The formulas below therefore have different statuses: some state established mathematical results; others propose notation or conjectural research structures; and the theological interpretations require arguments beyond mathematics. AI helped translate my questions into candidate formal language and locate relevant fields, but its fluency is not evidence.

The question that interrupted the formalization

The main essay ended with a possible research…
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*This exploratory essay grew from personal theological reflection and sustained dialogue with AI. It investigates mathematical possibilities and limitations without claiming to present a new proof or completed formal theory.

I began with a question that seemed much simpler than the one I am now trying to formulate. Mathematics has studied infinity rigorously for more than a century and has shown that infinite collections can have different cardinalities. Theology, meanwhile, has spoken about the infinity and incomprehensibility of God for…
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A prediction about mathematics led me somewhere I did not initially expect. Jacob Tsimerman had suggested that artificial intelligence could become better than mathematicians at doing mathematics within two years. I began by asking how such an abrupt transition could be possible. The obvious question concerned capability: had AI suddenly acquired mathematical intuition comparable to that of the strongest human researchers? But another explanation seemed increasingly important. Mathematics may be among the earliest disciplines to experience this transformation because it…
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Mein vorheriger Essay, Building a Generative Artwork That Can Change Its Maker, endete mit dem Gedanken, dass das Kunstwerk geantwortet habe. Dieser Essay setzt dort ein, wo mir diese Formulierung nicht mehr ausreichte. „Antworten“ lässt noch immer zwei relativ stabile Partner vermuten: auf der einen Seite einen Schaffenden, auf der anderen ein vollendetes Werk. Was sich tatsächlich entwickelte, war weniger geordnet. Ein visuelles System erzeugte Formen; die Formen veränderten meine Fragen; die Reaktion eines anderen Menschen veränderte, wie ich…
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My previous essay, Building a Generative Artwork That Can Change Its Maker, ended with the thought that the artwork had answered back. This essay begins where that formulation became insufficient. “Answering back” still suggests two relatively stable partners: a maker on one side and a completed work on the other. What actually developed was less orderly. A visual system generated forms; the forms changed my questions; another person’s response changed how I understood the forms; an old theoretical vocabulary…
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Drei Tage nachdem ich einen Artikel darüber veröffentlicht hatte, wie sich der Aktualisieren-Button meiner Website in eine künstlerische Geste der Komposition verwandeln lässt, lud mich Prof. Yvonne Dohna-Schlobitten unerwartet dazu ein, an ihrem sich entwickelnden internationalen Projekt als Künstler teilzunehmen – und beinahe im selben Atemzug auch in wissenschaftlicher Funktion. Dieses konkrete Werk hatte sie zu diesem Zeitpunkt noch nicht gesehen. Ich schickte es ihr, erklärte, dass jede Aktualisierung oder Navigation eine neue Komposition hervorbringen könne, und bat sie, es…
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