nucleation

CLAIM-015: Classical structuralism studies relations within a system, whereas this theory makes the transport of relational systems its object and does not require structure to remain invariant

1 min read

Properties6
StatusSuperseded — by CLAIM-113 — Transformations and invariants define one another: translation preserves some structures exactly, carries some equivariantly, preserves some approximately and reorganizes others, and identity is studied through what a class of transformations leaves invariant
Rolethesis
Warrantinterpretive
Tagsphilosophy-of-language, mathematics
Linepragmatic-transport
Objected byCLAIM-040 — Symmetry is a kind of invariance, and Noether's theorem is the point: invariance under transformation yields conservation

Graph View

The claim

A102: “classical structuralism tends to emphasize relations within systems, whereas our proposal makes the transport, reconstruction, and transformation of those relational systems the central object of study.” A102 §3: “We do not require the structure to remain invariant. Instead, we investigate the extent to which particular relations survive, change, or cease to be jointly realizable.”

Why it was replaced

The owner quoted those two sentences at U37 (CLAIM-040). A105: “My earlier contrast between structural invariance and structural transport was too sharp.” Its replacement is CLAIM-113.

Backlinks