Bottom is the empty recognition — the one that nothing satisfies. It is the absurd, the recognition with no content. Bottom entails everything, because from nothing, anything follows.

Bottom arises in Movement I: Logical Origination as a boundary condition of exclusion. Together with Top, Bottom marks the full extent of the relational field. Bottom also serves as the target of denial: to negate a recognition is to find the strongest recognition whose combining with it yields Bottom — the strongest thing incompatible with it.

Choosing (Either) with Bottom leaves any recognition unchanged — Bottom contributes nothing. This makes Bottom the identity element of Either, just as Top is the identity element of Together.

Mathematical correspondence

Bottom is the least element (bottom, ⊥) of the lattice — the identity element of Either. In the Foundation stratum’s acts, Bottom is earned as (Recognition, Nothing) — recognition witnessing Nothing.

  • Top — the dual: the universal recognition that everything satisfies
  • Either — Bottom is the identity element of choosing
  • Negate — Bottom is the consequent in the definition of denial
  • Entails — Bottom entails every recognition