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A wide shot of a vast warehouse where Aaron stands directing a group of workers constructing a colossal metal frame.

The Granger Theorem

Preamble This text is not a review or an explainer. It attempts to construct a formal model of Shane Carruth’s 2004 film Primer, treating the work as an axiomatic system to be reverse-engineered. The film's notorious difficulty constitutes its primary aesthetic and philosophical statement: it models the

29 Dec 2025
An intricate geometric diagram showing the five Platonic solids nested inside one another to form a skeletal sphere.

The House of Mirrors

7. A Static, Closed and Singular Universe To accept the logical premises of New Foundations (NF) is to affirm the existence of the Universal Set ($V$) and reject the hierarchy of types as an ontological reality. This commitment forces us to abandon the comfortable metaphysics of the "Iterative Conception.

15 Dec 2025
Ancient alchemical line drawing of the Ouroboros from the Chrysopoeia of Cleopatra. A serpent eating its own tail forms a circle that encloses Greek text translating to "all is one."

W. V. O. Quine and the Universal Set

1. The Library and the Censor To practice the philosophy of mathematics today is to accept an incomplete reality. The dominant paradigm, the "Iterative Conception of Set" codified in Zermelo-Fraenkel set theory (ZF), models the mathematical universe as an ever-expanding hierarchy. It bootstraps from the void of the

30 Nov 2025
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