Every HTML file in the geometry repo except those excluded by rule — see the footer for the scope and the count. Generated directly from the filesystem, not the hand-built nav. Search across all 1104 chapters, papers and pages at once. Amber tags mark files with zero inbound links from anywhere else in the repo; the generated indexes themselves are excluded as link sources, so they cannot mask an orphan. Evidence tags live here. Each row shows the tags its page carries — SHOWN, CITED, MODEL, CONJECTURE, OPEN, PROVED, COMPUTED — and how many numbered claims it makes. A page with claims and no tag is marked amber; type untagged in the box to see only those, or a tag word to see every page that carries it. Two vocabularies are in use and this page reports both rather than choosing between them.
The rule this series is built on
People are passed over a lot, and then the mathematics gets another status.
A result with a person attached is contingent. Somebody wanted something, tried something, was working in a place at a time, and could have been wrong. Strip the person off and the same result reads as if it were found rather than made — ownerless, timeless, above the ordinary business of being argued with. The promotion is unearned, and it is invisible, because nothing on the page says a name was removed.
This is a didactic for polymaths, and that is not a flourish. Someone who works across fields is the reader most exposed to it. In a field you trained in, the community carries the memory: you were told which conventions are arbitrary, which results were contested for thirty years, which definition won a vote. Crossing into a field you did not train in, you get the polished surface with the argument sanded off — and no one to tell you where the seams were. What you cannot see, you cannot doubt in the right place.
On the word: it is old, and it began as a warning. Araki (2025, University of Louisville dissertation, §1.3) traces it to Heraclitus, who said polymathy does not teach understanding, and to Morhof (1688), who separated those who draw the map from those who travel there. It was an educational ideal in the Renaissance, was turned on by the eighteenth-century encyclopedists, and survived in Victorian England: De Morgan’s wide reading cost him his Tripos rank, and he distrusted competitive examinations for the rest of his life (Attar, Rice & Stray, eds., 2024). Cohen (2015, “A Return to Polymathy”) says it was common until specialization pushed it aside. The modern vocabulary is Araki (2018, Journal of Genius and Eminence 3(1), 66–82; breadth, depth and integration, p. 67). That the cross-field reader is the one most exposed to context-stripped results is this series’ own argument, not theirs.
How to read it. Do not take the series on trust; test it. Pick a system you already understand — an oscillator, a business cycle, a clock, a catalyst — and describe it in the series’ shared terms. Where the description holds, you have learned what your system has in common with others. Where it breaks, either the description is wrong or your model of the system was, and finding out which is the learning. The manifesto asks for exactly this: use the language, challenge it, and improve it (Nogueira Grossi, 2025, §5.4). A shared description does not replace what a specialist knows (§5.2); the gap between the two is the exercise. The same test applies to the series’ own claims, which is why Vol VI publishes audits of them (WP-24, WP-28, WP-29, WP-30).
A way to picture the whole is the Thousand and One Nights. One frame holds many tales, each complete in itself, and you may begin on any night. The collection grew over centuries with no single fixed form, and this one is meant to keep growing too. The comparison stops where it matters. A tale in the Nights does not have to be true, and its frame cannot be proved wrong. A page here says something that can be checked, and the frame itself has already lost pieces that failed the check. So read it the way you would listen to Scheherazade, with curiosity and in no particular order, and then do what she never asked of her listener: test what you were told.
So the method, in three questions, asked of anything you did not grow up inside:
- Who made this, and what were they trying to do? A result you cannot attribute is a result you cannot yet argue with.
- What did it cost them to be wrong? Conventions adopted cheaply and defended for a century look identical to theorems, until you ask.
- Where does it resolve? A file, a page number, a script that recomputes it. If the answer is “it is well known”, you have found the seam.
That is also why every volume here names its people, and why every claim carries the path it resolves at. Anonymity is what lets a claim get promoted without being checked — in mathematics exactly as in a citation. The apparatus in this series is one rule applied twice.