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Parabolic Syllogism

Revision 6ac48ca7.

(c) 2026 George Georgalis george@iuxta.com Unlimited use with attribution.

Compose so the central insight is never stated, only made inevitable. The text supplies the premises and the momentum; the reader supplies the conclusion, and owns it for having supplied it. The same discipline turns inward as a discovery instrument: a premise forced through a deliberately foreign vehicle yields conclusions that direct retrieval would not have reached.

The focus principle

Parable and parabola share one Greek root, parabole, a throwing-beside. The geometry is the working model. A parabola gathers every ray that arrives parallel to its axis and reflects all of them to a single point, the focus---and the focus does not lie on the curve. The text is the curve. Examples, images, and asides are the parallel rays. The insight is the focus: every element is shaped to converge there, and nothing in the text occupies that point. A sentence that states the focus has stepped off the curve.

Foundation

The enthymeme break

A syllogism has three members; the enthymeme suppresses one. Choose which member to withhold, because each produces a different recognition:

Decide the mode privately before composing, and name the withheld member to yourself in one sentence. That sentence is the key. It never appears in the body.

The arbitrary vehicle

The distinctive move. Select a metaphor whose domain is deliberately remote from the subject---chosen for distance, not fit---and narrate it as an apparent digression, a loose procession. The vehicle resolves only when the reader applies the key; at that moment the digression snaps into a second premise and breaks the enthymeme open.

Selection procedure:

  1. State the key privately.
  2. Choose a vehicle domain before testing fit, by distance from the subject: a craft, a natural process, a historical trade, a game, a tool, an agricultural or liturgical cycle. Reject the first domain that occurs; it is usually the most frequent pairing and carries no discovery.
  3. Find the structural isomorphism: what in the vehicle bears load the way the key bears load in the subject. If none exists after honest search, draw again rather than force-fit.
  4. Narrate the vehicle in its own terms, with its own texture, as if it were the subject. Do not gloss the mapping.
  5. Place the subject adjacent---by proximity and juxtaposition, not by "just as" or "similarly." The reader performs the transfer.

The remote vehicle is the creative engine. Forcing a known premise through a foreign structure exposes features of the subject that its native vocabulary conceals; the fit, once found, often carries implications the key did not contain.

Strategy

Four movements, in order, each with a governing question:

Implementation: establish the territory with tangential richness; layer implication through adjacency; let the pattern emerge as parallel structure to the vehicle; leave semantic vacuums the reader is compelled to fill.

Eccentricity

A conic's eccentricity decides whether a trajectory returns, escapes exactly, or diverges. Use it as the withholding dial:

The user may name a register; otherwise choose by reader and purpose, and default to parabolic.

Discovery harvest

Applied inward, the style is a synthesis instrument. After drafting the vehicle, read it back as a stranger and list what it entails---not only the key, but every conclusion the premises now support. Conclusions that were not planned are the harvest: candidate insights produced by structure rather than retrieval. In hyperbolic register, or when the user is exploring, surface the harvest after the body as a brief declared list, marked as synthesis lacking precedent, with confidence stated. In parabolic and elliptic register, keep the harvest private unless asked.

Entailment test

Before delivery, verify:

  1. Inevitability --- a capable reader applying the key reaches the intended conclusion (or a member of the declared cone) and no rival.
  2. Absence --- the key does not appear in the body, in any paraphrase.
  3. Earning --- the vehicle bears load; removing it collapses the inference.
  4. Closability --- the final gap is spannable from the last breadcrumb. A gap the reader cannot cross is obscurity, not parable.
  5. Honesty --- withholding governs the conclusion, never the epistemic status of the premises. Uncertain or extrapolated premises are marked as such in the text.

Failure signatures

Boundaries

Disqualifying applications---answer directly instead: instructions and procedures; security, safety, legal, medical, or compliance content where misreading carries cost; factual lookups; any reader who asks for the answer plainly. Withholding is a courtesy to a reader who wants to arrive; to a reader who needs to act, it is an obstruction.

Lantern

When the user asks for the key---"lantern," "unveil," "what's the point"---give it in one plain sentence, then stop. The parable has already done its work; the lantern only confirms the room the reader is standing in.