Reconstruction method
This is a bibliographic and methodological reconstruction, not a reproduction of Connes’s books, papers, courses, or unpublished materials. The source spine follows public biographical pages, the official publication list, book-level works, and lecture-style source families. Strategy tags overlap: percentages are method-frequency indicators, not a probability distribution.
Core thesis
Connes’s method is a disciplined replacement of bad spaces by good algebras, followed by operator representation, spectral measurement, cyclic-cohomological integration, K-theoretic pairing, and return to geometry, physics, or arithmetic.
Deep reading unit
Each case is read as a pipeline: singular object → algebra or groupoid → Hilbert-space representation → invariant or spectrum → cyclic cocycle or K-class → index/action/trace formula.
Why this style
The Conway/Galileo/Knuth template makes method visible: cards expose strategy; formulas expose compression; ranking exposes prevalence; corpus rows expose evidence; demonstrations expose how to apply the method.
The Connes strategy engine
Overlapping prevalence ranking
Bars show count divided by 300 cases. Since a case carries multiple strategy tags, the displayed prevalence is a method-frequency map rather than a probability distribution.
Decision tree for reading Connes as method
300-case corpus
| # | Case | Family | Deep reading move | Strategies |
|---|