Isomorphism across systems

Summary

A specified correspondence of formal structure across domains. A useful correspondence preserves identified relations; it does not establish that the compared systems have the same material properties or social purposes.

Implications for practice

Inspect the passage and the stated domain before using a term in a new setting.

Key distinctions

• source account vs editorial interpretation
• material exchange vs causal openness
• bibliographic access vs full-text evidence

Historical development

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Ideas it depends on

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Further developments

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Connections to practice

• Name the domain, conditions, and observation that could challenge the proposed connection.

Common confusions

• Treating a shared term as proof that two accounts are equivalent.

Further checks

• Original-source verification and human editorial review remain open.

Recorded connections

Check the wording, direction, scope, sources, and status of a connection before relying on it.

• Bertalanffy: organisation, openness, and equifinality (Challoner, 2026) introduces distinction Isomorphism across systems

  Status: candidate · Relation: introduces distinction

  In Challoner’s reconstruction: Cross-domain formal correspondences do not remove substantive differences between domains.

  Locator: pp. 2–3, DG3 and PG3–PG4

  • Bertalanffy: organisation, openness, and equifinality: researcher module (source scoped research pass)

• Ashby Laboratory presents account of Isomorphism across systems

  Status: candidate · Relation: presents account of

  The laboratory distinguishes structure-preserving relabelling from simplifications that may lose distinctions.

  Locator: Chapter 6: isomorphism, coordinate changes and coarse-graining

  • Ashby Laboratory (source scoped research pass)

Claims and disputes

• In Challoner’s reconstruction: Cross-domain formal correspondences do not remove substantive differences between domains.

  Claim status: candidate. Review status: research pass needs editor.

  Source-scoped interpretation. Human editorial acceptance remains pending.

  Supporting sources

  • Bertalanffy: organisation, openness, and equifinality: researcher module (source scoped research pass)

Sources and passage locators

• Bertalanffy: organisation, openness, and equifinality: researcher module (source scoped research pass)
• Ashby Laboratory (source scoped research pass)

• Bertalanffy: organisation, openness, and equifinality: researcher module: pp. 2–3, DG3 and PG3–PG4 · research pass needs editor

Cite this entry

Taylor, B. P. (2026). Isomorphism across systems. The Necessary Tangle, release 0.35. https://transduction.systems/entries/concept_isomorphism/

Include the release and review status when you quote or reuse this account.