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Determine whether the set of possible functions of complex objects is finite or infinite

Determine whether the set of possible uses or functions that a complex object can perform across contexts is finite or (at least asymptotically) infinite.

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Background

The authors argue that Assembly Theory focuses on how objects are constructed rather than cataloging all possible functions, because the latter may be unlistable and context-dependent.

They explicitly note uncertainty regarding whether the space of possible uses for a complex object is finite or infinite, underscoring a fundamental question about functional diversity in complex systems.

References

Indeed, it is unclear if the possible uses of a complex object are finite or (at least asymptotically) infinite.

Assembly Theory and its Relationship with Computational Complexity (2406.12176 - Kempes et al., 18 Jun 2024) in Generalizing Assembly Theory Beyond Covalent Chemistry, discussion of function