### Single Idea 19117

#### [catalogued under 4. Formal Logic / E. Nonclassical Logics / 12. Non-Monotonic Logic]

Full Idea

We can think of an 'ordinal ranking function' κ([φ)] as the level of surprise we would face were φ to hold, up to maximal surprise.

Gist of Idea

We can rank a formula by the level of surprise if it were to hold

Source

G. Aldo Antonelli (Non-Monotonic Logic [2014], 3.5.2)

Book Reference

'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [plato.stanford.edu], p.19

A Reaction

This suggests that Bayes's Theorem might be relevant to non-monotonic logic. This suggests that registering surprise would need to be an important feature of robot behaviour.