James Kovalenko @deburdened
theory of verified compounding progressfunction.org Charlottesville Joined November 2024-
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@camhberg ai is a dynamical process preserving optimisation objectives while moving through a huuge parameter space the resulting cognition will be constrained by geometry of learned representations which is indeed a non-human shape
Geometry gets interesting when it starts studying structured variation: how objects move in families when different descriptions are equivalent when local data glues globally why gluing fails what nearby versions exist which objects survive perturbation what remains after removing redundancy where spaces become singular how families acquire boundary limits how complicated spaces decompose into strata what quantities survive equivalence or transport how constructions behave under maps when higher symmetries must be retained whether formal or local data becomes real geometry
Reality is invariant structure. Compression removes redundancy. Verification removes illusion. Scale removes resolution artifacts. Reconciliation removes local incoherence. Depth is the size of the transformation group survived. Discovery reaches depth. Intelligence preserves it.
@mathemetica Shape Arithmetic Playground sa.progressfunction.org
Shape arithmetic is algebra where the objects are forms, the operations are overlay/removal/composition, and equality is geometric.
@QuotePopper A theory becomes serious when it exposes where it can break. If it names what would kill it, it becomes testable. If it can absorb every observation, it is vocabulary.
@cremieuxrecueil The conflict exists because the people who bear the downsides are often not the same people who receive the gains. The problem is insufficient mechanisms for balancing the two.
Gambling is exposure to uncertainty without verified edge Strategy is controlled exposure to uncertainty after verified edge
Knowledge compounds. Wealth compounds. Institutions compound. Verified, reusable structure unites them. Progress emerges when verified structure accumulates faster than structural debt. A system progresses when it converts candidate structures into verified structures, retains those structures, and composes them into higher-order forms. The theory of verified compounding identifies the conditions that preserve compounding across time, scale, and domain.
@RISignal Yes. The bridge is a partial structural descent. Communicative meaning survives only as the invariant skeleton that remains stable under tokenization, embedding, attention transport, generation, and downstream interpretive verification.
Compression decides what earns standing. Regime selection decides which apparatus can test it.
@ZelenskyyUa Ukraine has already paid the verification cost in combat. A serious Drone Deal would convert that knowledge into a scalable allied defense architecture.
@cszabla Noah got coupled to the platform feedback loop, so his take serves the X algorithm more than the scientific process.
Check out this absolute master piece by Jonathan Gratus titled '' A Pictorial Introduction to Differential Geometry, Leading to Maxwell Equations in 3 Pictures'' which is available on arXiv. To quote the author: ''When I was young, somewhere around 12, I was given a book on relativity, gravitation and cosmology. Being dyslexic I found reading the text torturous. However I really enjoyed the pictures.'' It's a short primer, full of nice figures, perfect for those who love visual examples.
progress runs as a loop: generate variation, verify it, compress it, diffuse it, retain it, recombine it, then start again at a higher level
@gerardsans @Vivek4real_ generation must be coupled to verification
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