↩ ExploRational · A Catalogue of Divergent Rationality
explorational · a divergent move
Say it many ways and you discover what it says: each variation shifts, minutely, what is claimed. What do a sentence's degrees of freedom look like when you walk them?
In 1512 Erasmus published a textbook, De Copia, whose most notorious exercise looks like a parlour game. Take one sentence — Tua epistola me magnopere delectavit, "your letter pleased me greatly" — and render it again, differently. He demonstrates some hundred and fifty variations: the pleasure becomes a feast, a sunrise, a debt repaid; the letter, your hand, your pen, your page freighted with affection. Tudor schoolrooms ran the drill for two centuries because each rendering commits the writer to something slightly new, and the differences between renderings are facts about the claim, discovered by walking it.
Raymond Queneau ran the same experiment on narrative in 1947. Exercises in Style tells one thin anecdote — a crowded Paris bus, a young man with a long neck and an odd hat, a squabble over jostling, the same man spotted later being advised about a coat button — ninety-nine times: as sonnet, official letter, blurb, interrogation. Together the tellings map the story's degrees of freedom: whatever every telling preserves is the story; everything else was a choice. The bench below runs the exercise on a sentence of your own — and measures where you actually went.
the signature instrument
One sentence goes in at the top. Every variation is yours to write: the lever rail offers prompts and tags what you write for the coverage tally; it never writes a word for you. Each rendering gets two live readouts (character-level edit distance from the original, share of tokens the original lacks) and a dot on the variety map. Load the exemplar set to see a walked space before walking your own.
Say it again, differently
0 variations · 0 / 9 levers pulled
| # | variation | lever | edit dist | new words |
|---|
No variations yet. Pick a lever — or none — and write the first rendering yourself.
abundance is analysis
Put greatly at the front — "Greatly did your letter please me" — and the sentence stops reporting and starts performing. Assert it by denying the contrary — "your letter did not displease me" — and a suspicious listener materialises. Compress it to "Letter came. Joy." and the pleasure becomes involuntary, pre-grammatical. Nothing was added in any of these; the claim was re-uttered, and each re-utterance moved something. One sentence shows a point; the set shows the space it sits in.
Erasmus called the capacity copia, abundance, and meant it as thought: abundance of expression is abundance of thought, because you learn what a sentence says by discovering everything it could have said instead. Vary a claim ten ways and a skeleton emerges: elements every variation preserved, because losing them lost the claim, and elements that swapped freely — upholstery. No single rendering can make that distinction; the set can. The move opens options by multiplying, and its working unit is the list, never the line.
what to try
Load your own sentence — one you actually need somewhere: an opening line, a thesis, an apology. Write ten variations. The first three come off the top of your head; four through seven expose your habits; eight through ten are where the levers earn their keep. Then read the list as a document about the claim.
Watch the variety map while you work. Ruts have a geometry: points stacking at similar distance and length mean you are re-upholstering one construction. Pull length — telegraphic, then baroque — and the map opens vertically; pull metaphor and distance jumps without length following.
The exemplar set boots with eight of nine levers pulled — speaker's stance is untouched. Pull it: re-render the sentence as a reluctant witness would, then as a cold auditor filing a report. Watch the tally close and where the new points land relative to the exemplar cloud.
the map of degrees of freedom
The map plots each variation by edit distance from the original (across) and length in characters (up). Points hugging the left edge are paraphrase — the original with local substitutions; points far right rebuilt the sentence from other materials. A tight cluster is the geometry of a rut: many renderings, one move. A long diagonal means distance bought mostly by length — padding registers as departure here, a limit the disclosure below states plainly.
Run the exercise and notice what refused to move. Tense bends easily; the letter itself does not — renderings that dropped it became different claims. The rigid elements are load-bearing: they are the claim. The elastic ones are its clothing. The tally underneath records a complementary fact: nine levers are nine directions the sentence can be bent, and coverage marks which you have tried at all — direction, never distance, never grace.
the honest bench
The displayed values are structural proxies computed from your text. Edit distance is character-level Levenshtein: the minimum insertions, deletions, and substitutions that turn the original into the variation — case-sensitive, punctuation included. New-word ratio lowercases both sentences, strips punctuation, and reports the share of the variation's tokens absent from the original's token set. Coverage lights a lever once any variation carries its tag. Map spread is the mean pairwise distance between points after each axis is normalised to its maximum. Everything recomputes on every edit.
None of it measures merit. Levenshtein counts keystrokes of difference. It cannot see that "a window flung open in a stale room" keeps the claim while a non sequitur at equal distance loses it — to the metric, both are just far. Distance from the original measures departure. Fidelity — whether a rendering is still this claim — is a judgment only you can make, and the bench refuses to fake it with a score.
the move ↔ the bench
| The move | The bench |
|---|---|
| the sentence | the claim as first uttered — the point every variation departs from. |
| a variation | one point in the claim's possibility space, reached by an actual rewrite. |
| a lever | one degree of freedom — a direction the sentence can be bent without breaking. |
| edit distance | how far this rendering strays from the original — in keystrokes, never in merit. |
| the clustered map | circling your habit: many renderings, one move pulled again and again. |
| the spread map | the space actually walked — departures in several directions at once. |
how this opening fails
risk · novelty for its own sake
The readouts can feed the catalogue's named risk: chase edit distance and you will write renderings that stray far and claim nothing — word salad scores superbly. Queneau's ninety-nine hold together because the bus anecdote survives every one; a variation that loses the claim has left the exercise. The bench measures departure and stays silent on fidelity, so that discipline is yours: ask, after each rendering, whether the person the original was for would still be answered.
risk · copia as procrastination
Variation generates comfort as reliably as insight, and the bench will cheerfully log rendering 151 of a sentence that needed sending at rendering six. The tell is on the readouts: coverage full for the last twenty variations, new points landing inside the existing cloud, spread flat. Renderings that open no new territory are polish, and polish can be deferral. Once the map stops growing, choose a rendering and send the letter.
Vary the sentence until you can see the claim.
can you use it?
RECOGNITION — Which of these is copia? A: drafting ten different theses for the essay. B: rewriting your one thesis ten ways — inverted, telegraphic, as metaphor — and reading the set. C: polishing the thesis until the wording is right.
B. Copia re-utters a single claim to walk its degrees of freedom. A multiplies claims rather than renderings, and C stops at one line — the working unit here is the list.
THE NEAREST NEIGHBOR — Quantity before judgment also defers evaluation and piles up material. What separates copia from it, in one criterion?
The original stays fixed. Copia multiplies renderings of one claim and reads the set for what refused to move; a rendering that loses the claim has left the exercise.
PRODUCTION — Your status update reads "The migration is behind schedule." Write three renderings — one inverted, one metaphor, one telegraphic — then name what every version preserved.
"Behind schedule — the migration." "The migration is a train losing minutes at every station." "Migration: late." All three keep the delay; cause, blame, and severity swapped freely — the sentence claims lateness and commits to nothing else. Yours works if you can point to one element every rendering kept and one that moved.