Topologies

[v0.2]

A concept field shows what a proposition contains. An evidence mantle shows what bears upon it. A reasoning lineage shows what follows — and why. Choosing the wrong one is not a styling error; it makes a different claim.

[rule] Semantic topology ≠ evidential topology ≠ inferential topology.

Five modules, typed at the boundary

Each module imports named IDs and exports named IDs. The typed boundary is what lets an argument be inspected rather than trusted.

Concept Field

Explanation

What a proposition contains

Imports

Canonical proposition and declared context

Exports

CF proposition ID, knot IDs, typed satellites and semantic joins

Sentence → knots → satellites → conditions → feedback

Evidence Mantle

Explanation

What bears upon exact spans

Imports

Exact CF or source span ID

Exports

EM evidence-object IDs, function, method, limit, version and correction route

Source → addressable span → evidence function → method + limit → source reread

Reasoning Lineage

Explanation

What follows from what

Imports

Named claim and EM object IDs

Exports

RL claim IDs, relation IDs, warrants, mechanisms, authority result and review trigger

Evidence → inference → authority gate → decision → action → consequence → correction

Decision Surface

Decision

What action is requested, and what follows

Imports

RL basis, evidence bundle and mandate version

Exports

DS decision-object ID, prior and resulting state, receipt, expiry and remedy

Basis → prior state → requested action → resulting state → remedy

Review

Explanation

What the observed outcome revises

Imports

DS outcome and observed consequence

Exports

New EM objects, revised RL basis and continue, amend, pause, cease or remedy decision

Outcome → observation → revised basis → decision

Concept field — required function, automatic failure

A concept field begins with one grammatically complete proposition. The sentence must be readable aloud without reconstructing it from fragments.

Canonical proposition

One complete grammatical claim whose conditions remain visible

✗ A noun-chain replaces the sentence or the reader must guess its order

Semantic knot

An exact term that acts as a port into greater resolution

✗ Highlighted nouns overpower the verbs that make the claim meaningful

Typed satellite

Actor, condition, practice, resource, limit, consequence or countercondition

✗ The annotation has no exact anchor, type or relation phrase

Soft curve

Elaborates or belongs with the exact knot

✗ It appears to assert evidence, sequence or causality

Feedback edge

A named return mechanism such as revises or reshapes

✗ A decorative loop manufactures recursion

Mobile transposition

Sentence first; satellites nested beneath anchors in sentence order

✗ Stacking detaches a satellite from its host or deletes a condition

Reasoning lineage

Every node carries one proposition. Every edge states one defensible verb. Evidence, inference, value, assumption, authority, decision and consequence stay distinguishable even when they interact.

Edge test

Read it as a sentence

"A supports B under W", "A increases B through M". If no precise verb fits, the relation is not ready.

Warrant

Expose the bridge

An observation does not interpret itself. Name the rule, assumption or theory connecting it to the next claim.

Authority gate

Knowledge cannot authorise itself

Expectation enters a decision with values, mandate, standing, resources and contestability.

Evidence

A pattern recurs under stated conditions.

Source, interval, measurement and uncertainty are recorded.

I1 / supports under warrant W1

Inference

The recurrence is expected to continue.

The warrant, countercondition and competing explanation are explicit.

G1 / enters authority gate

Authority gate

Expectation, value criterion, standing and mandate pass — or fail — a commitment gate.

No epistemic claim confers institutional authority by itself.

G2 / authorises or refuses commitment

Decision

An authorised institution commits resources.

Authority, value judgment, threshold, duration and review are named.

T1 / commits resources and initiates action

Action

The commitment changes material capacity.

Operating conditions, reversibility, cost and affected parties enter the account.

M1 / produces outcomes under conditions

Consequence

Capability, liability and option space become path-dependent.

Future actors inherit assets, burdens and narrowed or expanded alternatives.

R1 / returns through observation and review

Correction

Observed outcomes revise the evidence base.

Review may continue, amend, pause, cease or remedy the commitment.

Because X, through mechanism Y, state Z changes; therefore Q follows — unless U — with gains and liabilities across V, implying R.

Transposition

Responsive design is semantic transposition, not visual reduction. Coordinates may change; the proposition, relation types, authored pauses, reader roles and choice parity may not.

[rule] If the narrow version becomes a centred stack, the words survive but the argument may not.

Must remain invariant

Canonical nucleus and complete accessible route
Primary attractor and governing relation
Any deliberately authored suspension and its resolution point
Anchor–satellite or span–evidence addressability
Register functions and subject positions
Action, refusal and consequence parity
No horizontal pan for core content

May recompose

Column count and coordinates
Amplitude of the left/right movement
Which side carries a non-operative rail
Opening silence and connector length
Font scale within legibility limits
Annotation placement and diagram orientation

Topology

Wide

Narrow

Invariant

Concept Field

Sentence spine with soft semantic satellites

Complete sentence, then satellites nested under each knot in sentence order

Exact anchor, semantic role and relation phrase

Evidence Mantle

Source nucleus with indexed evidence objects

Source first, then evidence capsules grouped beneath each exact span

Exact wording, evidence function, method, limit and return to source

Reasoning Lineage

Typed propositions joined by verb-labelled edges

One proposition per step with the edge sentence between steps

Evidence, warrant, mechanism, authority and countercondition remain distinct

Decision Surface

Bounded action, review and consequence field

Action, refusal, consequence and remedy remain equally proximal

No change of institutional meaning or choice parity