Iconic Arithmetic Volume I begins with marks drawn in sand, with pebbles held in hand, with notches carved in bone, with unity standing alone. [⇒ Parallel Poetry]
Figure 2-8 shows a comparison of conventional group theoretic axioms for arithmetic to those of Unit-Ensembles. There is structure and function hidden within each notation, so the comparison is not intended to demonstrate conceptual simplicity. Rather the comparison shows the understanding needed in order to conduct the operations of arithmetic in each of these abstract theories.