We began with a question that seemed deceptively simple:
How does value become social structure?
The question arose from an intriguing point in Halliday's taxonomy of complex systems.
A biological system, he suggested, is a physical system with the added component of life.
A social system is a biological system with the added component of value.
And a semiotic system is a social system in which value has been further transformed into meaning.
He also noted, cautiously, that the value of social systems was related to Edelman's biological notion of value, though not identical to it.
Halliday gave us the architecture.
He did not, so far as we know, develop the intervening theory.
That is the space we have been exploring.
Our proposal has been that the missing middle can be understood through mattering: the organisation of individual value systems into recurrent relations among organisms.
And that those relations may have something like a topology.
The argument can be summarised as:
biological value → signalling → coupled value-sensitive response → collective organisation → social structure → topology of mattering → repertoire → affiliation → symbolic articulation → meaning → transformed mattering
The important feature is that this is not a ladder in which one level simply replaces the previous one.
It is a recursive process in which new forms of organisation arise from earlier ones and then feed back upon them.
1. Value begins in organised life
An organism does not inhabit an indifferent world.
Its organisation differentiates among states and conditions according to their consequences for its continuing activity.
Some conditions support its organisation.
Others threaten it.
Some differences matter enormously.
Others barely matter at all.
This is what makes Edelman's notion of biological value so useful for our starting point.
Value does not begin with human judgement.
It begins with differential consequence within organised life.
A temperature change, chemical trace, movement or sound need not mean anything before it can matter.
Meaning comes later.
Mattering comes first.
2. A signal connects value systems
When organisms interact, something new becomes possible.
A difference produced by one organism can alter the conditions encountered by another.
A movement can alter the behaviour of a neighbour.
A chemical trace can alter the activity of another insect.
A display can affect another organism's reproductive behaviour.
A sudden change of direction can alter the behaviour of nearby animals.
Such a difference can function as a signal.
The signal is not itself a meaning.
It is a consequential difference that engages another organism's value-sensitive organisation.
The receiving organism is not merely triggered mechanically.
Its own organisation determines how it responds.
We can therefore distinguish:
value — what matters within an organism's own organisation;
signal — a difference produced by one organism that engages the value-sensitive organisation of another;
sign — a form functioning within a symbolic system as a resource for meaning.
That distinction became one of the conceptual foundations of the whole project.
It allows us to place signalling firmly on the mattering side of the transition without confusing it with symbolic meaning.
3. Coupling produces collective form
Once signals engage other value systems, responses become coupled.
One organism acts.
Another organism responds.
That response changes the conditions encountered by others.
They respond in turn.
The original difference has propagated through the system.
Birds forming rapidly changing flight formations and fish forming defensive bait balls provide striking examples of this principle.
No individual needs to contain the collective pattern in advance.
The large-scale form emerges from local interactions among organisms whose own behaviour is already organised by value.
The collective pattern is therefore:
generated from below, but consequential from above.
Once it exists, it changes the conditions under which individuals act.
Collective organisation feeds back into individual possibilities.
4. Coordination becomes social structure
Not every collective pattern is equally persistent.
A flock can form and disperse.
A bait ball can arise and dissolve.
Other collective organisations are much more durable.
Eusocial insects provide a particularly important example.
Ant, bee and termite colonies exhibit recurrent coordination, differentiation of activity, persistent dependencies and collective capacities.
Halliday himself used eusocial insects as an example of social systems.
This helps us interpret his "added component of value" carefully.
The individual organisms already possess biological value.
What becomes new is the organisation of their value-sensitive activities into recurrent social relations.
This gives us a precise meaning for social mattering:
Social mattering is the organisation of individual mattering through recurrent relations among organisms.
The colony does not need to be treated as a collective organism possessing one unified value system.
Its social organisation emerges from the coupling of its participants' value systems.
5. Social structure is an organisation of consequences
A social structure is therefore not simply a collection of roles or categories.
It is a recurrent organisation of consequential relations.
Some participants depend upon others.
Some relations are reciprocal.
Others are asymmetric.
Some connect large numbers of participants.
Others are local.
Some are central.
Some peripheral.
Some endure for generations.
Others are temporary.
A structure persists when the relations that constitute it are continually reproduced through activity.
Structure is therefore not necessarily static.
It can be stable through change.
6. This gives social structure a topology
At this point, the metaphor of a value landscape became inadequate.
A landscape suggests locations and magnitudes.
Topology draws our attention to relations.
Proximity.
Connectivity.
Boundaries.
Regions.
Pathways.
Bridges.
Bottlenecks.
Continuity.
Transitions.
A topology of mattering would therefore not ask:
How much does this person value freedom?
It would ask:
How are participants related through what matters?
Who affects whose possibilities?
Where are dependencies concentrated?
Which relations are reciprocal?
Which are asymmetric?
Where can consequences propagate?
Which regions are densely connected?
Where are the boundaries?
Where are the bridges?
The topology is therefore not a map of abstract values.
It is a proposed account of the relational shape of social mattering.
7. Topology and dynamics belong together
A social topology cannot be understood as a frozen map.
Relationships change.
Participants enter and leave.
Dependencies strengthen or weaken.
Boundaries move.
New connections form.
Old ones disappear.
A topology therefore describes the organisation of possible and actual relations, while dynamics describes the trajectories by which the system moves through them.
Some configurations are relatively stable.
Others are unstable.
Some changes remain local.
Others propagate throughout the system.
A social system may even preserve itself by changing its configuration.
This distinction between structure and dynamics became important because we are interested not simply in where social systems are, but in how they move.
8. Individuals inhabit the topology through repertoires
The topology is collective.
But individuals do not encounter the whole social system at once.
Each has a history of participation.
Each has learned particular practices and distinctions.
Each can recognise some pathways more readily than others.
This is where the distinction between collective reservoir and individual repertoire becomes valuable.
The collective reservoir contains more possibilities than any individual can possess.
A repertoire is a historically developed capacity for participating in and construing particular regions of that social world.
It is not merely an inventory of meanings.
It is a capacity for participation.
A person learns how to navigate relationships.
How to recognise expectations.
How to cross boundaries.
How to cooperate.
How to occupy roles.
How to construe what matters.
The topology shapes the development of repertoires.
Repertoires shape how individuals participate in the topology.
The relation is therefore recursive.
9. Repertoire creates differentiated pathways
People inhabiting the same social system can experience quite different possibilities.
One participant may have a repertoire that allows easy movement between several regions.
Another may be highly specialised within one.
A third may have partial access to several regions without being fully integrated into any.
A fourth may become a bridge because their repertoire spans otherwise distant communities.
The topology is therefore one thing.
The trajectories available through it are another.
This distinction allows us to talk about individual differentiation without making the individual a miniature version of the entire social system.
The individual does not possess a private topology.
They possess a repertoire through which they participate in the collective one.
10. Affiliation emerges from recurrent overlap
We then asked how people find one another within the topology.
The answer is not simply similarity.
Two people can be similar without affiliating.
Two very different people can form a strong relationship.
Affiliation is better understood as recurrent alignment around overlapping patterns of mattering.
The overlap need not be complete.
A shared repertoire of participation may be enough.
People can repeatedly coordinate.
Become mutually dependable.
Share practices.
Recognise similar possibilities.
A "we" can emerge.
Eventually that "we" may acquire a name, boundary, identity and institution.
But the affiliation precedes its formal symbolic recognition.
The symbolic category is an articulation of a relational pattern already in existence.
11. Meaning begins when mattering becomes symbolically available
We can now return to Halliday's most provocative formulation.
A semiotic system is a social system in which:
value has been further transformed into meaning.
The word further is crucial.
Meaning does not replace mattering.
It transforms it.
A recurrent social relation can become symbolically construed.
A role acquires a name.
A boundary becomes a category.
An affiliation becomes an identity.
A pattern of dependence becomes a concept.
A recurring concern becomes a value in words.
A historical experience becomes a narrative.
Social mattering becomes available for symbolic construal.
12. Signal becomes sign
This is where our distinction between signal and sign reaches its second great use.
A signal can coordinate action without symbolic meaning.
A sign can be used to construe relations within a symbolic system.
The difference is qualitative.
The pheromone of an ant can coordinate behaviour because it engages another ant's value system.
A political slogan can coordinate human behaviour because it symbolically construes a field of social mattering.
A warning signal and a political symbol may both alter behaviour.
But they do so through different kinds of organisation.
The first belongs to signalling.
The second belongs to semiosis.
Meaning is not merely more complicated signalling.
It is value further transformed into symbolic form.
13. The collective reservoir becomes a semiotic resource
Once social mattering has been symbolically construed, the resulting forms enter the collective reservoir.
Words.
Categories.
Images.
Narratives.
Symbols.
Rituals.
Concepts.
Institutions.
No individual masters the whole reservoir.
But individuals develop repertoires from it.
The repertoire therefore becomes simultaneously a capacity for participation in social mattering and a capacity for symbolically construing that mattering.
This is where social differentiation and semiotic differentiation become closely connected.
14. Meaning makes social structure reflexive
The most important change may be that social systems can now, to some extent, construe themselves.
Participants can ask:
What kind of relation is this?
Is it legitimate?
Is it fair?
Should it continue?
What should replace it?
A dependency can become "exploitation".
An asymmetry can become "authority".
A relationship can become "obligation".
A shared commitment can become "solidarity".
A boundary can become "citizenship".
The symbolic articulation gives social mattering a form in which it can be reflected upon, compared and contested.
15. Politics is a symbolic map of mattering
This allowed us to approach political affiliation without beginning from political labels.
Political affiliations can be understood as relatively stable symbolic articulations of configurations of social mattering.
The familiar political vocabulary turns out to be surprisingly underdeterminate.
"Freedom", "security", "equality" and "justice" can occupy very different regions of the topology depending on the relations around them.
The same word can therefore conceal very different social configurations.
A political disagreement may sometimes be less a disagreement about vocabulary than a disagreement about what relations make the value possible.
16. The political spectrum may be a projection
This led to one of the more speculative but potentially fruitful proposals of the series.
The left/right political spectrum is conventionally represented as a line.
But the social topology may be multidimensional.
There may be different dimensions involving:
dependence,
reciprocity,
hierarchy,
autonomy,
redistribution,
authority,
boundary maintenance,
openness,
solidarity,
stability,
transformation.
If so, the political spectrum may be a projection of a multidimensional social topology onto a single line.
The projection can be useful.
But it can also conceal proximity in one dimension and distance in another.
This might help explain unexpected political coalitions, internal contradictions and shifting affiliations.
It remains a hypothesis.
Its value will depend upon whether it produces distinctions that can actually be investigated.
17. Campbell and the dynamics of continuity and transformation
The mythological material introduced another possibility.
Campbell's distinction between the path of the village compound and the individual quest can be read, cautiously, as a symbolic representation of a recurrent social problem:
How does a community preserve what matters when its existing repertoire is no longer sufficient?
The village compound represents the familiar region.
Its relations are established.
Its repertoire is known.
The hero leaves when the existing organisation cannot provide what is now required.
The hero enters an unfamiliar region.
A new possibility is acquired.
The hero returns.
The boon becomes available to the collective.
This gives us a dynamic pattern:
established topology → departure → exploration → new possibility → return → transformed topology
The Left-Hand and Right-Hand Paths should not be equated mechanically with modern political left and right.
But the mythological distinction may illuminate a deeper polarity between reproduction through continuity and reproduction through transformation.
18. The hero expands the repertoire
From the perspective of our model, the hero is particularly interesting not because the hero is a special kind of person, but because the hero performs a distinctive social function.
They explore beyond the existing repertoire.
They encounter something for which the community lacks an adequate symbolic or practical resource.
They acquire something new.
They return.
If the community can incorporate it, the collective reservoir expands.
A new pathway becomes available.
The topology changes.
The myth therefore gives narrative form to a mechanism by which a social system can renew itself through exploration.
19. Meaning feeds back into mattering
And here the whole system becomes recursive.
A new concept can reveal a previously unnoticed pattern.
A new identity can create an affiliation.
A new category can establish a boundary.
A new story can make a different course of action imaginable.
An ideology can reorganise political participation.
An institution can turn a symbolic distinction into a material relation.
Meaning changes repertoire.
Repertoire changes participation.
Participation changes social relations.
Social relations change the topology.
The complete feedback is:
meaning → repertoire → participation → transformed mattering
Meaning is therefore not merely the symbolic endpoint of social evolution.
It becomes a source of further social evolution.
20. The collective reservoir also evolves
This feedback occurs at both individual and collective levels.
An individual encounters or creates a new symbolic resource.
Their repertoire changes.
They use the resource.
Others adopt it.
It enters the collective reservoir.
The reservoir changes.
Future participants inherit a different field of possibilities.
Thus:
individual repertoire → collective reservoir → new repertoires
Social systems can therefore evolve by circulating and transforming semiotic resources.
The topology changes partly because the collective reservoir changes.
21. Topological expansion and contraction
Meaning can increase the range of social possibilities.
A new institution can create a new role.
A new category can create a new affiliation.
A new concept can make a new form of cooperation intelligible.
A new symbol can create a bridge between previously separate groups.
The topology expands.
But meaning can also contract the topology.
A category can harden a boundary.
An identity can exclude outsiders.
An ideology can make some pathways illegitimate.
A symbol can divide what was previously shared.
The topology can therefore become more open or more closed through symbolic transformation.
22. Polarisation becomes a topological phenomenon
This offers another way to think about political polarisation.
It is not simply movement toward opposite ends of a line.
It may involve:
stronger internal coupling;
weaker external connections;
reduced repertoire overlap;
hardened symbolic boundaries;
loss of bridges;
increasing reinterpretation of shared signs.
The social topology becomes divided into denser internal regions with fewer pathways between them.
Meaning has changed connectivity.
The political conflict is therefore also a transformation of social structure.
23. The topology is historical
The topology is never timeless.
It carries the effects of previous transformations.
Institutions preserve old relations.
Narratives preserve histories.
Repertoires preserve learned practices.
Symbols preserve past distinctions.
The present therefore contains traces of earlier configurations.
A social system remembers not through one central memory but through the persistence of its structures and resources.
Meaning is one of the principal ways that history is carried forward.
24. The levels remain distinct
At this point, the argument might seem to have collapsed biology, society and semiosis into one continuous process.
We should resist that temptation.
The continuity is real.
The levels are not identical.
Biological value is not social mattering.
Social mattering is not symbolic meaning.
A signal is not a sign.
An individual repertoire is not the collective reservoir.
A political ideology is not the topology that it symbolically maps.
Meaning is a transformation of value, not simply value itself.
The strength of the model depends upon preserving these differences while showing how they are related.
25. A possible general model
We can now put the whole argument into one sequence:
Organismic value
↓
Signal
↓
Engagement of another value system
↓
Value-sensitive response
↓
Recurrent coupling
↓
Collective form
↓
Social structure
↓
Topology of mattering
↕
Individual repertoire
↓
Affiliation
↓
Symbolic articulation
↓
Meaning
↓
Altered repertoire and attention
↓
Changed participation
↓
Transformed topology
This is not a linear ladder.
It is a recursive developmental system.
Each passage changes the conditions under which the next occurs.
26. What the topology adds to Halliday
Halliday's taxonomy gives us the vertical sequence:
physical → biological → social → semiotic.
His formulation identifies life, value and meaning as the successive additions.
Our proposal has been to explore the structure of the middle transition.
The key question becomes:
How can biological value become socially organised without ceasing to be biological value?
Our provisional answer is:
through the coupling of value-organised organisms in recurrent relations of consequence.
Social structure is the organisation of those relations.
The topology is a proposed way of describing their shape.
And meaning is value further transformed into symbolic construal.
We are not claiming that Halliday supplied this full theory.
He gave us the opening.
The elaboration is ours.
27. What Edelman contributes
Edelman gives us the other end of the bridge.
Value is not introduced by language.
It is already present in organised life.
An organism is a system in which some conditions matter more than others.
This gives social value a biological substrate without making social structure reducible to biology.
The challenge is to explain the transformation.
Our model proposes that social organisation emerges when value-sensitive organisms become recurrently consequential to one another.
This preserves continuity without collapsing the levels.
28. What repertoire contributes
Repertoire solves another problem.
A social topology exists at the level of collective relations.
But individuals participate differentially.
They have histories.
They have learned different practices.
They recognise different distinctions.
They can navigate different pathways.
The repertoire provides the bridge between the collective and the individual.
And because repertoires can change through participation, they also provide a mechanism for social transformation.
The individual is therefore neither outside the social system nor reducible to it.
The individual inhabits the topology through a repertoire.
29. What affiliation contributes
Affiliation gives us the bridge between individual participation and collective identity.
People affiliate through recurrent patterns of overlapping mattering and repertoire.
The affiliation can become symbolic.
Then the symbol can strengthen or transform the affiliation.
So affiliation is both an emergent relation and a possible object of meaning.
It is one of the places where the topology becomes visible to itself.
30. What politics and myth contribute
Politics and myth show us two different ways of symbolically mapping the social world.
Political ideology organises concepts of what matters, who belongs, what should change and what should be preserved.
Myth can turn recurrent social dynamics into narrative patterns.
The hero's departure can symbolise exploration beyond an established repertoire.
The return can symbolise incorporation of novelty.
The village can symbolise continuity.
The transformation can symbolise adaptive renewal.
Neither political ideology nor myth gives us the topology itself.
They give us symbolic construals of social possibility.
31. The deepest feedback
Perhaps the deepest conclusion is that meaning does not merely appear at the end of the sequence.
It changes the beginning.
Once symbolic categories have entered a repertoire, they can alter attention.
Attention alters what becomes salient.
Salience affects value-sensitive response.
Response changes social relations.
Social relations change the topology.
The topology creates new symbolic problems.
New meanings arise.
The cycle continues.
Meaning therefore becomes part of the environment within which mattering develops.
This is why the semiotic level can transform the social level without ceasing to depend upon it.
32. From mattering to meaning — and back
We can now see why the title of our earlier series was not merely poetic.
Mattering really can become meaning.
But meaning can become mattering again.
The process is not:
mattering → meaning
as though significance simply climbs upward and leaves its origin behind.
It is:
mattering → meaning → transformed mattering
And because the transformation is recursive, each cycle can alter the possibilities of the next.
The system can learn.
Differentiate.
Innovate.
Remember.
Forget.
Stabilise.
Reorganise.
Expand.
Contract.
It can evolve.
33. What the topology finally means
We should therefore return to the title.
The topology of mattering is not a map of what people believe.
It is not a political chart.
It is not a hierarchy of values.
It is not a catalogue of affiliations.
It is a proposed way of thinking about the relational geometry of social consequence:
who matters to whom;
through which dependencies;
across which boundaries;
along which pathways;
with what possibilities for connection, separation and transformation.
Repertoires allow individuals to inhabit that topology.
Affiliations stabilise some regions.
Institutions formalise others.
Ideologies and myths symbolically construe it.
Meaning changes it.
The topology therefore describes not a finished social world but a field of evolving possibilities.
34. The project remains a hypothesis
We should end where we began: cautiously.
We have not demonstrated that social mattering has a mathematically rigorous topology.
We have not established that political affiliations form particular regions.
We have not shown that Campbell's mythic patterns correspond to universal social structures.
Those are questions for further work.
What we have done is formulate a hypothesis that connects ideas which are usually treated separately:
Edelman's biological valueHalliday's social and semiotic taxonomysocial structuresignallingcollective emergencerepertoireaffiliationpolitical ideologymyth
The proposed topology is the conceptual bridge among them.
Its value will ultimately depend upon what it allows us to see that other frameworks do not.
35. The argument in one sentence
If the entire series had to be reduced to one proposition, it might be this:
Social structure emerges when value-organised organisms become recurrently consequential to one another; individuals inhabit that structure through differentiated repertoires; and when those relations become symbolically construed, meaning emerges and feeds back into the organisation of what matters.
That is the whole argument.
And perhaps its deepest implication is that society is neither a collection of individuals nor an abstract structure imposed upon them.
It is a dynamically evolving organisation of relations among organisms whose own value systems have become coupled.
Meaning does not float above that world.
It grows from it.
And then it returns to change it.
The final sequence is therefore not a ladder but a loop:
value → mattering → structure → repertoire → affiliation → meaning → new mattering
The topology is the shape of that loop as it becomes social.
And the loop never quite closes, because every transformation creates new possibilities for the next.
That may be the most interesting thing a topology of mattering could reveal:
a social world is not merely a place in which things matter.
It is a continually changing system in which what matters to one participant can change what matters to another, in which those relations can become structures, in which structures can become meanings, and in which meanings can return to change the structures from which they arose.
That is how a world of differential value becomes a world of shared significance.
And perhaps that is the deeper continuity running from organised life to society, from society to meaning, and from meaning back into life.
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