The APS Glossary as a Constraint-Closed Conceptual System

Role of This Article

This article specifies the structure of the APS glossary as a constraint-closed conceptual system. It builds on the general principle that APS concepts form an organised system of mutually constraining definitions and makes that principle explicit in the organisation, composition, and regulation of the glossary.

For the general rationale underlying this approach, see APS as an Organised Conceptual System — Why Definitions Form a System.

From Glossary to Conceptual System

In most scientific contexts, a glossary is treated as an auxiliary tool: a list of definitions that clarifies terminology used elsewhere. It is assumed to be descriptive, expandable, and largely independent of the theoretical structure it supports.

Within APS, this assumption does not hold.

APS is not a collection of loosely related concepts but a structured account of biological organisation. Its terms are not interchangeable labels but components of an interdependent conceptual system. The glossary is therefore not an open-ended list. Its size, composition, and internal relations are themselves theoretically significant.

The APS glossary should be understood as a constraint-closed conceptual system.

Conceptual Constraint Closure

In APS, a living system is defined by constraint closure: a network of constraints that mutually sustain one another and thereby maintain the system’s viability.

This idea extends to the conceptual domain.

A set of concepts exhibits conceptual constraint closure when:

• each concept is defined in relation to others within the system
• no concept is fully intelligible in isolation
• the system is sufficient to express the framework’s core claims
• the addition or removal of any concept alters the structure of the whole

On this view, the glossary is not merely a reference resource but the minimal conceptual structure required to articulate APS. Relations between terms are relations of conceptual articulation rather than temporal or causal sequence.

Sufficiency and Minimality

A constraint-closed conceptual system must satisfy two conditions:

• Sufficiency: it contains enough concepts to define biological organisation, articulate normativity, distinguish living from non-living systems, and support explanation across scales
• Minimality: it excludes redundant, loosely related, or non-structural terms

These conditions impose a strict discipline. If a concept can be removed without loss of explanatory capacity, it does not belong in the core glossary.

Functional Organisation of the Glossary

The glossary is organised into three functional groupings:

1. Core closure concepts (Tier 1)

The irreducible backbone of APS. These concepts are mutually interdependent and define the system.

2. Derived concepts

Concepts that depend on the core set while extending its explanatory reach.

3. Interface concepts

Concepts that connect APS to other theoretical frameworks and introduce additional commitments.

The Core Closure Set

The Tier 1 glossary consists of eleven concepts:

• viability
• biological organisation
• constraint
• constraint closure
• process
• scale
• biological agency
• normativity
• evaluation
• function
• persistence

These are included because each satisfies strict criteria:

• each is indispensable to defining life in APS terms
• each is mutually dependent with others in the set
• each introduces a non-redundant conceptual distinction
• none can be derived from the others without loss of explanatory structure

These relations form a network of mutual constraint in which each concept stabilises the meaning and role of the others.

Structure of Conceptual Dependence

Taken together, the Tier 1 concepts define the system.

Constraint, constraint closure, and organisation specify structural constitution.
Viability and normativity specify system-internal conditions of continuation.
Evaluation and biological agency specify the regulation of activity in relation to those conditions.
Process and scale provide the ontological framing within which all of these are understood.
Function and persistence specify contribution to viability and continuity through time.

These relations are not additive but interdependent. Organisation is constituted through constraint closure; viability is defined through organisation; normativity arises from viability; evaluation expresses normativity; agency realises evaluation; function contributes to viability; and persistence stabilises the system across time.

No concept stands alone, and none is redundant.

Derived Concepts

Derived concepts extend the framework without introducing new primitives. These include:

• semiosis
• cognition
• counterfactual depth
• adaptation
• inheritance
• variation

Each can be analysed in terms of the core set. Their role is to elaborate the framework, not to redefine it.

Interface Concepts

Interface concepts include terms such as information, representation, design, and teleonomy.

These are historically loaded and theoretically contested. Within APS, they require reinterpretation in terms of the core conceptual system. Because they introduce additional commitments, their inclusion must be carefully controlled and deferred until the core system is stable.

Conditions of Inclusion

Maintaining a constraint-closed glossary requires explicit criteria:

• a concept must be defined through other concepts in the system
• it must contribute to the explanation of at least one other concept
• it must introduce a distinct, non-redundant conceptual role

A concept that lacks dependency is isolated.
A concept that lacks contribution is redundant.
A concept that lacks distinctiveness is duplicative.

Such cases require removal, merging, or redefinition.

Controlled Expansion

Uncontrolled glossary expansion is not progress but a risk to coherence.

The glossary should expand only when:

• a domain cannot be expressed using existing concepts
• a genuine explanatory gap is identified
• a new concept can be fully integrated into the existing system

Expansion is therefore driven by structural necessity, not descriptive convenience.

The Glossary as Conceptual Map

When properly constrained, the glossary functions as:

• a map of the framework’s conceptual structure
• a diagnostic tool for identifying inconsistencies
• a guide to explanatory priorities

In this respect, it mirrors constraint closure in living systems: conceptual organisation is maintained through mutually defining terms.

Constraint-Closed Conceptual Structure of APS

Notes. Arrows indicate conceptual dependence, not temporal sequence. Constraint closure denotes mutual dependence among constraints. Viability is understood as a region of state space. Persistence contributes to the maintenance of organisation across time. Process and scale function as global framing conditions.

Colour Scheme and Conceptual Role

The colour scheme provides a secondary encoding of the framework’s structure:

• Grey: process and scale as framing conditions
• Blue: structural constitution (constraint, constraint closure, organisation)
• Amber: system-internal significance (viability, normativity)
• Green: regulation and activity (evaluation, biological agency)
• Purple: temporal continuity (function, persistence)

This distinguishes structure, value, activity, and persistence within a unified conceptual system.

Conclusion

The APS glossary is not a supplementary resource but the conceptual core of the framework.

Treating it as a constraint-closed system imposes a discipline that is both restrictive and generative. It restricts arbitrary expansion while enabling clarity, coherence, and cumulative explanation. The result is a glossary that does not merely accompany the theory but constitutes the minimal structure required to express it.