Symposium on the Platonic Space (2025)

“Platonic Space” refers to a structured, non-physical space of patterns — the properties of mathematical objects, and perhaps higher-agency patterns we detect as anatomy, physiology, and behavior across the biosphere. The contents of this space may in-form events in our physical world: constraining physics and enabling biology. The first interdisciplinary symposium on the topic uses Plato and Pythagoras as a springboard — not a doctrine — to go beyond “emergence” and ask how the latent space of possibilities gets explored.

Organized by Michael Levin & Hananel Hazan as an asynchronous interdisciplinary event across Fall 2025 — spanning philosophy, biology, physics, computer science, and mathematics.

Seminar summaries

Michael Levin — Platonic Space and Biology: understanding evolved, engineered, and hybrid embodied minds

Tufts University. Michael Levin's work reframes the body as a collective intelligence: cells cooperate toward anatomical goals using bioelectric signaling, and that same problem-solving competency shows up across evolved organisms, engineered constructs (xenobots, anthrobots), and hybrid systems. Read through the Platonic-Space lens, the target morphology a regenerating animal navigates toward behaves less like something built bottom-up from the genome and more like a pattern selected from a latent space of reachable forms — an attractor the bioelectric network can settle into. This talk situates Levin's Technological Approach to Mind Everywhere (TAME) and the cognitive light cone inside that question: where do the patterns organisms recognize and grow toward actually live, and how does an evolved or engineered mind come to ingress them?

Concepts covered: Latent Platonic Space, Cognitive Light Cone, Attractor / Attractor Landscape, Multiscale Competency Architecture (MCA), TAME (Technological Approach to Mind Everywhere).

Karl Friston — On the (Platonic) Nature of Things

University College London. Karl Friston is the architect of the free energy principle and active inference — the idea that any system that persists must act and perceive so as to minimize surprise relative to a generative model of its world. A Markov blanket is what lets us speak of an “agent” at all: the statistical boundary separating internal states from the environment. Through the Platonic-Space lens, the priors and attracting states inside that generative model start to look like the formal patterns a system is built to expect and return to — the “nature of things” it presupposes. This talk is expected to connect active inference to the symposium's central question of where stable forms come from: not as transcendent ideals out in a separate realm, but as the lawful structure that self-organizing, boundaried systems must encode to keep existing.

Concepts covered: Active Inference, Boundary / Markov Blanket, Latent Platonic Space, Virtual Governor.

Denis Noble — Mathematics justifies the Metaphysics in Biology

Oxford University. Denis Noble built the first mathematical model of the heartbeat and went on to argue, in The Music of Life and his principle of biological relativity, that no single level of organization — least of all the genome — holds privileged causal power. Causation runs both upward and downward between molecules, cells, tissues, and the whole organism. His symposium title is a deliberate provocation: that the mathematics of multi-level biological systems doesn't just describe life but forces metaphysical commitments — about what is real, what causes what, and which levels can be treated as autonomous. In Platonic-Space terms, this is an argument that formal/mathematical structure is load-bearing in biology, not decorative: the equations of a system constrain which forms and behaviors are even possible, giving formal causality a seat at the table alongside material and efficient causes.

Concepts covered: Biological Relativity, Formal Causality, Multiscale Competency Architecture (MCA).

Iain McGilchrist — Spherical Causation

All Souls College, Oxford. Iain McGilchrist, in The Master and His Emissary and The Matter With Things, argues that the brain's two hemispheres deliver two whole ways of attending to the world — one narrow, abstracting, and manipulative; the other broad, contextual, and relational — and that Western culture has over-committed to the former. His symposium title, “Spherical Causation,” pushes against the linear, billiard-ball picture of cause and effect: causation, on this view, is better imagined as radiating in all directions at once, with wholes and contexts shaping their parts as much as the reverse. For the Platonic-Space program this is a claim about how form should be approached at all — that reducing rich, mutually-constituting patterns to one-way mechanical chains loses precisely the structure that matters. It connects naturally to formal causality and to the symposium's resistance to flat, bottom-up “emergence.”

Concepts covered: Spherical Causation, Formal Causality.

Blaise Agüera y Arcas — Functions As Forms: From Computation to Agency

Google Research. Blaise Agüera y Arcas leads AI work at Google and has argued — in Who Are We Now? and recent work on computation and the origins of life — that agency and even life are better understood as computational phenomena that emerge once simple programs start interacting, replicating, and competing. His symposium title, “Functions As Forms,” takes the Platonic question into machine intelligence: the functions a learning system converges on may themselves be the relevant forms — abstract, substrate-independent structures that many different systems rediscover. This resonates strongly with the Platonic Representation Hypothesis, the observation that large neural networks trained on different data and modalities drift toward a shared internal geometry, as if converging on the same underlying space of representations. The talk is expected to trace the arc from computation to agency: how form-like functions, once instantiated, start to behave like goal-directed agents.

Concepts covered: Latent Platonic Space, Platonic Representation Hypothesis, Computation, Polycomputation.