Accumulation

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]

Unification: As a type of unit, [ ] must have different additive properties than ( ), otherwise the two would be indistinguishable. Round-brackets provide a Tally via accumulation, which explicitly forbids deleting replicated units. In contrast, [ ] dominates rather than accumulates. We can express this as an iconic equation, one that reduces apparent multiplicity to unity. The Unification axiom defines the Behavior of Square-Brackets. [⇒ Operational Description of Round- And Square-Brackets]

[] [] ⇒ []

Square-Brackets are blind to multiplicity, making them clearly non-numeric. Strictly speaking, [ ] does not absorb the forms within its environment (no forms in the same space interact). More accurately, [ ] completely fills its container, so that the outer container can support no other contents. From the perspective of the outer container, Unification asserts that there is only one empty square-bracket whereas Accumulation asserts that every round-bracket makes a difference.

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There is a correct amount of any resource to hold in reserve for unforeseen circumstances. Money, however, is easily over accumulated since the costs of doing so are not apparent.