Structure Sharing

is different than Structural Abstraction. Structure sharing is not available in textual dialects.

In structure sharing, nodes in a network that share the same Linking Structure can be joined into a single node with multiple links. Entire subnetworks are replaced by links to shared Structure (Struktur).

Sharing joins together multiple references to the same form, while abstraction ignores selected features. [The occurrence of identical subpatterns within a Form. ⇒ Dnet Dialect]

Sharing is a property of Representation rather than reality. Human prejudice probably does not apply to structure sharing.

> The fluidity of object and reference in networks can be expressed as a transformation rule that is unique to this (and similar) dialects, structure sharing. In structure sharing, nodes in a network that share the same linking structure can be joined into a single node with multiple links. Entire subnetworks are replaced by links to shared structure. **Structure sharing is not available in textual dialects.** […] Multiple occurrence of the same variable in a textual dialect emulates shared structure in a network dialect. The absence of structure sharing in symbolic mathematics has lead to rampant replication of symbols and a presumption that replication is free. […], replication is the source of complexity.

We do have patent laws that adjudicate cases of structure sharing in creative works. [⇒ Establish Rules]

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BRICKEN, William, 2019. Iconic Arithmetic Volume I: The Design of Mathematics for Human Understanding. Unary press. ISBN 978-1-73248-513-6, p. 320 and p. 340N8.