pith. sign in

what is love?

Big AI job. Grok 4.3 reads the canon and writes a Lean-grounded derivation; usually 20 seconds to 2 minutes. Your answer will appear below.
confidence: moderate in recognition cached

Love in Recognition Science

Love is the action that reduces the target's J-cost (target_delta_j < 0), thereby decreasing global sigma imbalance.

Definition. An action a : MoralAction is loving precisely when a.target_delta_j < 0:

isLovingAction

Key properties.

Loving actions are always just:

love_is_just

In the virtue signature framework, love is the unique virtue with nonzero sigma effect:

love_has_unique_sigma_effect

Love's sigma effect is strictly negative:

love_reduces_sigma

Love's signature is family_loading = (1,0,0,0) and sigma_effect = -1, while justice, courage and wisdom each have sigma_effect = 0 and distinct loadings. Thus love is the sole equilibrating mechanism on the moral ledger.

cited recognition theorems

outside recognition

Aspects Recognition does not yet address:

  • The referenced theorem only_love_changes_sigma (mentioned in MoralDebt but located in ULQ, absent from supplied slice)
  • Any derivation linking love to the forcing chain T0-T8 or derived constants

recognition modules consulted

The Recognition library is at github.com/jonwashburn/shape-of-logic. The model is restricted to the supplied Lean source and instructed not to invent theorem names. Treat output as a starting point, not a verified proof.