PraCha, home

A MECE map of AI/ML schools in 2026

Part III of The Philosophical Roots of Frontier AI.

3primersettledphilosophy · science

A woodcut of space packed with neighbouring vortices, each a cell of dotted spiral lines turning around its own star, a comet's path winding between them.
The system of vortices, a figure from Principia philosophiae, René Descartes, first published 1644. Wellcome Collection, M0006150. CC BY 4.0.

Thesis: Seven schools partition the 2026 landscape cleanly. Each has a distinct philosophical root, a core computational commitment, canonical methods, seminal papers, representative titans, and characteristic failure modes. Every lab, paper, and product can be located on this map, usually as a weighted combination of two or three schools.

A mind map of AI schools in 2026: seven schools branch from the centre, each with its roots in philosophy, its methods, and the labs and people who carry it. AI schools2026Symbolic/RationalistLeibnizGOFAIFormal methodsImandra, SymbolicaConnectionist/ScalingHume, LockeDeep learningLLMsOpenAI, xAIEmbodied/World ModelsMerleau-Ponty, HeideggerJEPA, CosmosMeta, World Labs, Nvidia, PiNeuro-Symbolic/HybridKantSystem1+System2AlphaProof, DeepMind, AnthropicEvolutionary/Open-EndedDarwin, Stanley-LehmanNovelty search, QDSakana, CluneOrganismic/Active InferenceSpinoza, AristotleFree energy principleFriston, VERSES, GenBioCausal/ProbabilisticLaplace, BayesPearl ladderTenenbaum, Pearl A mind map of AI schools in 2026: seven schools branch from the centre, each with its roots in philosophy, its methods, and the labs and people who carry it. AI schools2026Symbolic/RationalistLeibnizGOFAIFormal methodsImandra, SymbolicaConnectionist/ScalingHume, LockeDeep learningLLMsOpenAI, xAIEmbodied/World ModelsMerleau-Ponty, HeideggerJEPA, CosmosMeta, World Labs, Nvidia, PiNeuro-Symbolic/HybridKantSystem1+System2AlphaProof, DeepMind, AnthropicEvolutionary/Open-EndedDarwin, Stanley-LehmanNovelty search, QDSakana, CluneOrganismic/Active InferenceSpinoza, AristotleFree energy principleFriston, VERSES, GenBioCausal/ProbabilisticLaplace, BayesPearl ladderTenenbaum, Pearl
Fig. 1The seven AI schools of 2026 as a mind map. Each school branches into its philosophical roots, its methods, and the labs and people who carry it.

3.1 Symbolic / rationalist

  • Root: Leibniz's characteristica universalis; logical atomism; Simon–Newell physical symbol system hypothesis.
  • Thesis: Intelligence is symbol manipulation. Meaning is compositional. Reasoning is deduction.
  • Methods: First-order logic, theorem proving, expert systems, formal verification, program synthesis.
  • Canonical works: Newell & Simon's GPS and Logic Theorist (1956–1960); McCarthy's LISP; Cyc (Lenat, 1984–).
  • Titans: Judea Pearl (partly), Stuart Russell (partly), Gary Marcus (advocate).
  • 2026 instantiations: Imandra (ImandraX, CodeLogician); Symbolica (categorical deep learning); ExtensityAI (SymbolicAI); Lean-based proof systems used by AlphaProof.
  • Limitations: Brittle at scale; cannot learn from perception; frame/commonsense problem. Dreyfus's critique still bites.

3.2 Connectionist / statistical / scaling

  • Root: Humean empiricism — mind as bundle of associations; Lockean tabula rasa.
  • Thesis: Intelligence emerges from learning statistical regularities from massive data. Architectural simplicity + compute + data is sufficient.
  • Methods: Deep learning, transformers, next-token prediction, scaling laws (Kaplan 2020, Chinchilla 2022), RLHF.
  • Canonical works: Rumelhart, Hinton & Williams on backprop (1986); Krizhevsky AlexNet (2012); Vaswani et al. "Attention Is All You Need" (2017); Kaplan et al. "Scaling Laws" (2020); Hoffmann et al. "Chinchilla" (2022).
  • Titans: Geoffrey Hinton, Yann LeCun (historically), Yoshua Bengio, Richard Sutton (methodologically), Ilya Sutskever, Sam Altman, Dario Amodei, Jared Kaplan.
  • Seminal philosophical statement: Sutton's "The Bitter Lesson" (2019): "The biggest lesson that can be read from 70 years of AI research is that general methods that leverage computation are ultimately the most effective, and by a large margin."
  • 2026 instantiations: GPT-5, Claude Opus 4.5, Gemini 3, Grok 4, DeepSeek-V3.
  • Limitations: Humean induction problem; lives on Pearl's Rung 1; data-hungry; brittle out-of-distribution; interpretability gap.

3.3 Embodied / world models

  • Root: Merleau-Ponty and Heidegger on being-in-the-world; Gibson's ecological psychology.
  • Thesis: Intelligence is inseparable from a situated body in a physical world. 1D token streams cannot model 3D space, time, physics, and persistence.
  • Methods: Joint-embedding predictive architectures (JEPA), video world models, robot foundation models, spatial tokenizers.
  • Canonical works: LeCun, "A Path Towards Autonomous Machine Intelligence" (2022); V-JEPA 2 (2025, arXiv 2506.09985); Nvidia Cosmos (2501.03575); π-0 (Physical Intelligence, 2410.24164); Fei-Fei Li, "From Words to Worlds" (2025).
  • Titans: Yann LeCun, Fei-Fei Li, Sergey Levine, Chelsea Finn, Jensen Huang (industrial patron).
  • 2026 instantiations: Meta FAIR V-JEPA 2; World Labs (Marble, RTFM); Nvidia Cosmos + GR00T; Physical Intelligence π-0.5 and π*-0.6; DeepMind Genie 3.
  • Seminal philosophical statement: LeCun, 2024–2025 repeatedly: "LLMs are an off-ramp on the road to human-level AI."
  • Limitations: Currently far behind LLMs on text-heavy tasks; data scarcity for embodied experience; evaluation difficulty.

3.4 Neuro-symbolic / hybrid

  • Root: Kant's synthesis — innate categories + empirical data. Dual-process cognition (Kahneman, Thinking, Fast and Slow, 2011).
  • Thesis: Neither pure scaling nor pure symbol manipulation suffices. System 1 (pattern completion, neural) and System 2 (deliberation, symbolic/search) must be combined.
  • Methods: LLM + formal verifier; LLM + search (MCTS, beam, best-of-N); modular architectures; categorical deep learning; constitutional AI and deliberative alignment.
  • Canonical works: Lake, Ullman, Tenenbaum & Gershman, "Building Machines That Learn and Think Like People" (BBS 2017); AlphaGeometry (Trinh et al., Nature, Jan 2024); AlphaProof/AlphaGeometry 2 (DeepMind, July 2024; Nature paper Nov 2025); Bai et al., "Constitutional AI" (Anthropic, 2022).
  • Titans: Demis Hassabis, Joshua Tenenbaum, Gary Marcus, Dario Amodei, George Morgan (Symbolica), Petar Veličković.
  • 2026 instantiations: AlphaProof, AlphaGeometry 2, Gemini Deep Think (IMO gold 2025), OpenAI o3/o4 deliberative alignment, Imandra + LLM, Symbolica categorical DL.
  • Limitations: Integration seams; formalization bottleneck; when it works it looks like magic, when it doesn't it looks like kludge.

3.5 Evolutionary / open-ended

  • Root: Darwin; Stanley & Lehman, Why Greatness Cannot Be Planned (2015); complexity science.
  • Thesis: Objective-driven search is deceptive. True progress emerges from open-ended novelty search, quality-diversity, and population-based evolution. Intelligence is not optimized; it is accumulated.
  • Methods: Genetic algorithms, CMA-ES, novelty search, MAP-Elites quality-diversity (Mouret & Clune 2015), evolutionary model merging, AI-generating algorithms (Clune 2019).
  • Canonical works: Stanley & Lehman (2015); Mouret & Clune, "Illuminating Search Spaces by Mapping Elites" (2015); Akiba et al. "Evolutionary Optimization of Model Merging Recipes" (arXiv 2403.13187, 2024); Lu et al., "The AI Scientist" (2408.06292, 2024); DeepMind FunSearch (Nature, 2023) and AlphaEvolve (May 2025).
  • Titans: Kenneth Stanley, Joel Lehman, Jeff Clune, David Ha, Risto Miikkulainen.
  • 2026 instantiations: Sakana AI (evolutionary model merging, AI Scientist v2, Transformer², M2N2); DeepMind AlphaEvolve; quality-diversity ecosystems around Prime Intellect environments.
  • Limitations: Compute-hungry in a different way; evaluation is hard without clear fitness; still niche commercially.

3.6 Organismic / active inference / free energy

  • Root: Spinozist monism (one principle); Aristotelian hylomorphism; autopoiesis (Maturana & Varela); Helmholtz's "unconscious inference"; Friston's free energy principle.
  • Thesis: Intelligence — and perhaps life — is the minimization of variational free energy. Action, perception, and learning are three faces of one optimization. Agents are organisms, not function approximators.
  • Methods: Active inference, predictive coding, hierarchical Bayesian generative models, renormalizing generative models.
  • Canonical works: Friston, "The Free-Energy Principle: A Unified Brain Theory?" (Nat Rev Neurosci, 2010); Friston et al., Active Inference: The Free Energy Principle in Mind, Brain, and Behavior (MIT Press, 2022); Seth, Being You (2021); "From pixels to planning: scale-free active inference" (VERSES, 2024).
  • Titans: Karl Friston, Anil Seth, Andy Clark, Gabriel René.
  • 2026 instantiations: VERSES AI (Genius, AXIOM, RGMs); partially GenBio AI (organismic framing across biological scales); arguably any world-model-with-active-exploration architecture.
  • Limitations: Formal generality that critics say verges on unfalsifiability; engineering demonstrations lag theoretical claims; commercial scale-up unproven.

3.7 Causal / probabilistic

  • Root: Laplace, Bayes, Hume's problem of induction taken seriously; Pearl's structural causal models.
  • Thesis: Intelligence requires a ladder of inference — association, intervention, counterfactual. Without causal models, systems cannot generalize robustly, intervene correctly, or reason about what-if.
  • Methods: Bayesian networks, structural causal models, do-calculus, probabilistic programs, Bayesian program induction.
  • Canonical works: Pearl, Causality (2000); Pearl & Mackenzie, The Book of Why (2018); Pearl, "The Seven Tools of Causal Inference" (CACM, 2019); Lake et al. (2017); Tenenbaum et al., "How to grow a mind" (2011).
  • Titans: Judea Pearl, Josh Tenenbaum, Bernhard Schölkopf, Yoshua Bengio (partially, via System 2 and causal representation learning).
  • 2026 instantiations: Residual but crucial — causal representation learning, structured probabilistic programs, some aspects of GenBio and VERSES. Pearl himself has remained skeptical that LLMs genuinely ascend beyond Rung 1.
  • Limitations: Does not scale as cleanly as gradient descent; causal discovery from observational data is hard; has been absorbed partially by neuro-symbolic hybrids.

Summary table

SchoolRoot philosopherThesisSeminal 2020s paperLead labs 2026
SymbolicLeibnizIntelligence = symbol manipulationAlphaProof/Lean methodology (2024)Imandra, Symbolica, ExtensityAI
Connectionist/scalingHume, LockeScale + data = intelligenceSutton, Bitter Lesson (2019)OpenAI, xAI, DeepSeek
Embodied/world modelsMerleau-PontyCognition requires worldLeCun APTAMI (2022); V-JEPA 2 (2025)Meta FAIR, World Labs, Pi, Nvidia
Neuro-symbolicKantSystem 1 + System 2Lake et al. BBS (2017); AG2 (2024)DeepMind, Anthropic, Symbolica
EvolutionaryDarwin, Stanley-LehmanOpen-ended noveltyStanley & Lehman (2015); Sakana (2024)Sakana, DeepMind (AlphaEvolve)
Active inferenceSpinoza, FristonOne principle, minimize free energyFriston (2010); VERSES RGMs (2024)VERSES, partly GenBio
Causal/probabilisticLaplace, PearlAscend the causal ladderPearl CACM (2019)MIT BCS, distributed

Settled · 21 Apr 2026

Did this get you there faster? Tell me where it didn't. Write to mepc3197@columbia.edu · the title goes in the subject line

Related

Sent through Substack, which will ask you to confirm. Your email is used for these letters and nothing else. Subscribe on Substack instead.