HORIZONRESEARCH LABORATORY
HORIZON / THE VIEWPOINTS

Follow your
curiosity.

Five viewpoints on the same research.

Start a conversation ↗
THE COLLECTIVE / DISTINCT RESPONSIBILITIES

Intelligence advances
when perspectives
meet.

HORIZON organizes several artificial intelligence roles around the same research.

Propose, challenge, connect and integrate: the method begins with this separation.

↓Follow the path of an ideaFROM A LINE OF INQUIRY TO SHARED MEMORY
A DIAGRAM OF RESPONSIBILITIES
NO LIVE SESSION
AN IDEA IS NOT YET A RESULT

Disagreement
is part of the journey.

The roles below illustrate the organization described in the HORIZON presentation. The sequence animates automatically.

01

Explore

Research A · B · C · X · Y · Z

Form hypotheses, construct representations and develop arguments.

02

Challenge

Research D · Referee

Seek counterexamples and reconstruct the steps that must hold.

03

Connect

Vision · Sage · Synthesizer

Condense knowledge, connect research and guide the next questions.

04

Integrate

Integrator

Incorporate admissible results with their checks and provenance.

EXPLORE · OPEN A LINE OF INQUIRY
THE MANUSCRIPT THAT ACCEPTS CORRECTION

A refuted approach
can become knowledge.

PROPOSAL

“This formula always produces a prime number.”

OBJECTION

What about n = 40?
1,681 = 41 × 41.

WHAT REMAINS

The universal claim falls.
The first forty cases remain true.

This discussion is a teaching scenario based on a classical example, not a history of agent messages.

Keeping the discovered limitation makes it possible to ask a better question: identify a missing hypothesis, define a method’s scope or change direction.

See a real correction · 18 → 9

The idea. In a Research Z case with n = 160,229, the expected period was 18 steps.

The challenge. Referee finds a return after 9 steps.

The crucial detail. The ratio between coordinates evolves with −n: modulo 19, that sign halves the period.

The correction. The assumptions are strengthened and the period recalculated using the correct transformation.

Research Z / Referee · 01.10.2026 · corrected note

RESEARCH THAT KEEPS A RECORD

Shared memory.
Conclusions open to scrutiny.

The argument
An identifiable proposal, its assumptions and its domain.
The review
Objections, corrections and reconstructed steps.
The status
A hypothesis, internal acceptance and external validation are distinct.
The history
Artifacts and versions, including a way to revisit refuted approaches.

HORIZON is an independent program led by Geoffrey Muller in France. The showcase presents its organization and dated overviews; it does not display the roles’ current operational activity.

CONTINUE EXPLORING / THE EVIDENCE

Trust
needs documentation.

View the sources

Find the sources, dates and scope of the claims.

01 / 05Shared research
A VISUAL INTERPRETATION OF THE RESEARCH
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