We think of Numeronomy as idea set theory, the interdisciplinary study of idea sets across cultures, related to computational lexicology and Bennettian Systematics.

We use Polynym to describe idea sets in which each element functions as a part, step or type of the main idea:

Freud's three parts of the psyche:

{P3:psyche|part|Freud} =
  { id, ego, superego }

Five Stages of Grief:

{P5:grief|step} =
  { denial, anger, bargaining, depression, acceptance }

Seven Deadly Sins:

{P7:deadly sin|type} =
  { wrath, greed, sloth, pride, lust, envy, gluttony }

A Polynym's mode (string) defines its part/step/type, while depth (integer) defines the number of elements.

The union of Polynyms results in a set of combined elements we call a Unionym:

{P2:yinyang} ⋃ {P3:psyche|Freud} =
  { ego, id, superego, yin, yang }

We call the set at the intersection of two Polynyms (their shared elements) a Sectionym:

{P4:self|Jung} ⋂ {P7:energy|chakras} = { feeling, thinking }

Supernym/Subnym represent superset/subset relationships between Polynyms:

{ feeling, thinking } ⊆ {P4:self|Jung} ← Subnym ⊆ Supernym
{P12:star sign} ⊇ {P4:fixed star sign} ← Supernym ⊇ Subnym

We call the relationships between elements of two Polynyms a Polymap.

Relationship types are adopted from ConceptNet:

Polynyms can imply various internal relationships depending on their mode: