gardenfors-triviality-theorem
IN premise — summaries/2026/08/24/wiki-Belief_revision-chunk-1.md
Created 2026-08-24T17:11:06+00:00
The Gärdenfors triviality theorem states that no non-trivial belief revision operator can simultaneously satisfy all AGM postulates and the Ramsey test when the logical language includes the counterfactual connective '>'
Summary
If a reasoning system is allowed to draw "what would have happened if" conclusions, then it is mathematically impossible to update its knowledge in a way that is both fully rational (never wasteful, never contradictory) and consistent with the standard way we evaluate if-then statements. In practice this means the system must deliberately relax one of those principles when counterfactual reasoning enters the picture, rather than expecting a single update rule to satisfy everything at once.