Abductive Reasoning & the Limits of AI Discovery

Peirce's third mode of inference — generating a novel explanatory hypothesis or axiom (Rule+Result → Case) to account for a surprising result — argued to be structurally missing from current LLMs, which have mastered induction and deduction but lack the embodied/simulation-grounded mechanism needed to invent axioms under data scarcity.

Also known as: abduction, Abduction (Peirce), abductive reasoning, abductive leap, the Jump, inference to the best explanation, manipulative abduction, creativity as compression, axiom generation

Part of: LLM Limitations

How authors use it

Oldest first (extraction date when no publication date is known).

AuthorTheir termTheir meaning
LLMs Can't Jump
Tom Zahavy, Google DeepMind · 2026-05-23
The Jump (J)The intuitive, non-logical cognitive leap Einstein described in his letter to Solovine connecting Sense Experience (E) to a System of Axioms (A) — the specific act the paper argues LLMs cannot perform.
LLMs Can't Jump
Tom Zahavy, Google DeepMind · 2026-05-23
AbductionFollowing Peirce: inference of a Case (or new Rule) from a Rule and a surprising Result (Rule+Result -> Case) — a creative leap that invents a cause for a singular phenomenon, distinct from both deduction (guarantees truth) and induction (finds statistical patterns).
LLMs Can't Jump
Tom Zahavy, Google DeepMind · 2026-05-23
Manipulative AbductionMagnani's (2009) concept: abduction driven by active, embodied interaction with mental models ('thinking by doing') rather than passive symbolic search — e.g., Einstein simulating the physical sensation of falling.
LLMs Can't Jump
Tom Zahavy, Google DeepMind · 2026-05-23
Creativity as CompressionSchmidhuber's (2008) theory that scientific discovery is driven by the inductive desire to compress data — the 'joy' of discovery being the rate at which complex observations become subjectively simpler. Used in this paper as the rival theory being refuted.

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2026-05

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