Formas persistentes: de Pitágoras a la Teoría de Kolmogorov

A slide deck arguing that minds, agency, and even subjective experience can be given rigorous algorithmic descriptions — no hand-waving required.

This is a 20-minute talk (in Spanish), not a full paper. The source is a Beamer slide-deck scaffold: it's mostly LaTeX plumbing that assembles pre-existing slide images into a structured presentation. The actual argumentative content lives in those embedded image files, which are not included here. So this summary is necessarily limited to what the structure and slide titles reveal.

The central bet is that an agent — any agent, including a conscious one — can be modeled as an algorithm that receives data, compresses it into an internal model (the talk literally uses a ZIP file as the analogy), and then acts based on that compressed representation. The compression framing is doing real work: Kolmogorov complexity, the information-theoretic measure of how compressible a string is, becomes the formal backbone for what it means to "understand" something. Shannon entropy handles the statistical side; Kolmogorov complexity handles the deeper, program-length side.

The philosophical lineage the talk traces — Pythagoras → Aristotle → Kant → Turing → Kolmogorov — is meant to show this isn't a bolt-from-the-blue computational claim but the latest step in a long tradition of arguing that structure, not substance, is what matters for mind. Aristotle's hylomorphism (the idea that form, not matter, defines a thing) and Kant's notion that the mind actively structures experience both get recruited as ancestors of the KT-ESP framework. Wolpert's thermodynamic limits on computation and the Church-Turing thesis are brought in to bound what's actually computable, keeping the framework honest about its scope.

The most ambitious move comes at the end: the talk claims that qualia — the raw "what it's like" of experience, traditionally considered the hard problem's hardest part — can begin to be quantified within this framework. The slide title says "we begin to quantify qualia," which is a strong claim. The source does not make explicit how that quantification works mechanically; that detail presumably lives in the slide images themselves or in companion papers.