Thinghood Limited

Oliver Byrne's 1847 Euclid, Prop 47. Bright red, blue, and yellow squares and triangles in a windmill pattern visually demonstrate the Pythagorean theorem without text labels.

Blind Faith in the Model

1. The Crisis of the God’s Eye View Disciplines once distinct are converging. We find ourselves in a trading zone where the rigorous formalism of mathematical logic merges with the algorithmic pragmatism of computer science and the conceptual depth of analytic philosophy. In this zone, researchers share a vocabulary

A 17th-century oil painting showing the mutilated, naked bodies of Johan and Cornelis De Witt hanging upside down from a scaffold against a dark background.

The Night in Which All Cows Are Black

The Cartesian Grid Before we reach the blood, we must map the geometry of the mud. To understand the catastrophe that shattered Baruch Spinoza’s faith in human reason, we must look past the "Dutch Miracle" as a Golden Age of art and view it instead as a

Mistaking a tar pit for a bank vault, the US is entombed in a "geological singularity defined by extreme viscosity." The trap is not scarcity, but the stickiness of debt.

The Tar Pit Trap

1. The Subject of History The road to the 23 de Enero climbs into a lucid dream of concrete and tropical improvisation. Coiling up the hillsides of western Caracas, the noise of the blockade fades into the golden, cinematic clarity of a memory that refuses to age. Entering the "

A woman operates a manual pantograph punch in a vintage photo, using a stylus to punch holes in a data card, illustrating the physical and industrial labor of early computing.

Evil Quine

"The story of writing in the digital age is every bit as messy as the ink-stained rags that littered the floor of Gutenberg's print shop... The 'electronically perfect' page is not a positive characteristic per se. It masks the struggle." — Matthew Kirschenbaum, Track Changes

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

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

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.

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

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