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Structuralism, Not Objects: Dirac Deltas, Algebraic Effects, and Why C Comes First
A Mastodon thread on formalizing Dirac deltas as algebraic effects, read through the pflow lens — the same refusal to posit an object, the same check-after-the-fact discipline, and a question about whether the predicate future is an effect rather than a value.
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Brouwer Ordinals and the Shape of a Witness
de Jong et al. (2026) put an ordinal axis under decidability. That axis is past-tense, and Brouwer ordinals are the scalar specialization of our vector tropical past.
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The Pflow Square
One square that collects six earlier posts — the free SMC on a net, the zipper W(M) = 𝓛 × M × 𝓡, and three analyses that read the ρ boundary off the incidence matrix — with what has been checked and what is still only drawn.
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The Zipper Whose Hole Is a Universe
Execution state is a zipper — the present moment is not a parameter or a modality but a universe that separates tropical past from predicate future. Tic-tac-toe makes the structure visible.
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Earned Compression
ODE simulation, tropical analysis and zero-knowledge proofs each draw a line between a Petri net's core and its observer. Where the three agree on tic-tac-toe, why the agreement follows from one definition, and where the code does not yet match the theorem.
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Tropical Petri Nets
Timed event graphs are max-plus linear and ReLU networks are tropical rational, so the two meet over the tropical semiring. This post covers what those two theorems give us, what pflow-tropical checks in code, and how far the Petri-net/neural-net analogy has actually been earned.