**Motivations:**
- Apply the scientific writing rules to the Collatz conjecture manuscript section.
- Remove non-neutral phrasing while preserving the mathematical content.
**Root causes:**
- Residual conversational and evaluative phrasing remained in the manuscript.
- Generic section titles `Introduction` and `Conclusion` were still present.
**Correctifs:**
- Replaced non-neutral wording with neutral technical formulations.
- Renamed section titles to `Introduction de ...` and `Conclusion de ...` at level `##`.
- Removed reader-addressed/meta delivery sentences and kept only proof-relevant statements.
**Evolutions:**
- Clarified the projective-state section wording around the 60-state decomposition and linear forms.
- Harmonized consistency phrasing for the corrected ratio value in the m15 block.
**Pages affectées:**
- v0/conjoncture_collatz.md