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Causation, constructors and codes.

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Summary

Formal cause, crucial for understanding processes, is explicitly represented in relational diagrams. This framework resolves paradoxes in universal constructors and explains causal entailment in biological and computational systems.

Keywords:
Aristotelan causationFormal causeOrganic codesRosen's paradoxUniversal constructor

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Area of Science:

  • Relational Biology
  • Formal Systems Theory
  • Philosophy of Science

Background:

  • Relational biology utilizes Aristotle's four causes, with a focus on efficient and final causes.
  • Formal cause, though less explored, is vital for understanding process dynamics.
  • Graph-theoretic relational diagrams are key tools in relational biology.

Purpose of the Study:

  • To develop an explicit representation of formal cause within relational diagrams.
  • To demonstrate how formal cause interacts with efficient cause to create mappings.
  • To resolve paradoxes in Von Neumann's universal constructor using relational diagrams and codes.

Main Methods:

  • Developing graph-theoretic relational diagrams to represent formal cause.
  • Combining formal and efficient cause representations to model mappings.
  • Extending relational diagrams with formal definitions of codes (organic codes) to capture translation processes.

Main Results:

  • Formal cause is explicitly represented in relational diagrams, interacting with efficient cause.
  • Von Neumann's universal constructor is modeled in a relational diagram, avoiding logical paradoxes.
  • The extended relational diagram successfully captures the translation of formal cause into process via codes.

Conclusions:

  • Formal cause is essential for a comprehensive understanding of diverse processes, including biological and computational ones.
  • Relational diagrams, when extended to include formal cause and coding mechanisms, provide a powerful framework for analyzing causal entailment.
  • This approach offers new insights into systems ranging from enzyme action to genetic code translation and automaton construction.