Finite geometries can also be defined purely axiomatically. Euclidean geometry can be axiomatically described in several ways. By contrast, non-philosophy axiomatically deploys immanence as being endlessly conceptualizable by the subject of non-philosophy. He axiomatically studied the properties of fields and defined many important field-theoretic concepts. Nambooripad axiomatically characterised the structure of the set of idempotents in a regular semigroup. The hyperreals can be developed either axiomatically or by more constructively oriented methods. "Gestural", however, implies that the forms are not planned and thought-out, which axiomatically they are. An adopted brother who suckled from the mother of the woman is axiomatically a mahram. This means the formula does not axiomatically hold for arbitrary formula 3 and formula 27. The synthetic approach axiomatically defines the real number system as a complete ordered field. A related group is the collineation group, which is defined axiomatically.