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Archemathics, or archemathical studies, was the mathematics (PROSE: Of the City of the Saved...) underlying the fundamental semiotic structure of the universe. (PROSE: Against Nature) As such, it was the most fundamental form of physics. It was studied on the Homeworld.

Allisheer St Marx was a prominent archemathicist in Onesia and the City of the Saved. She derived her first archemathical theorem when she was eight years old, and later wrote or edited several books on the topic, including Archemathical Criteria, Interdisciplinary Archemathics, and Astounding Contributions to Archemathical Studies.

The study of the imago was split between archemathics and biodata research. (PROSE: Of the City of the Saved...)

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