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Rhetorica · Trivium

Rhetoric

The science of speaking well (bene dicendi scientia), a definition that takes in the speaker's character.

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The question rhetoric asks

How can I persuade honestly, and how can I tell when I am being persuaded?

Level 1

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5 ideas. Read the hook, pick an answer, see the picture.

The Seven Liberal Arts, Hands-On

The Seven Liberal Arts, Hands-On: Logic, Proof and the Quadrivium

Euler's polynomial, n squared plus n plus 41, gives a prime for every n from 0 to 39. At n = 40 it gives 1681, which is 41 squared. Testing refutes a rule quickly; it cannot prove it for every n.

Pick one

You want a new square with exactly twice the area of an old one. What should its side be?

Seven Arts in Order

  1. GrammarRead precisely: parse before judging.
  2. LogicReason validly: premises, conclusion, weakest premise.
  3. RhetoricSpeak persuasively and honestly against the best objection.
  4. ArithmeticNumber in itself.
  5. MusicNumber in relation, that is ratio.
  6. GeometryMagnitude at rest.
  7. AstronomyMagnitude in motion.
Language and argument first, then quantity: the quadrivium is where reasoning meets things that can be checked.

Open the page · 1 min

English Expression Mastery

English Expression Mastery: Words, Sentences, Paragraphs and Speech

One word can invent a cause. 'Although the service is running, users cannot log in' is fair to the facts. Swap in 'because' and the grammar is still fine, but the logic is invented.

Pick one

A large 2018 meta-analysis looked at adult bilingualism and executive function. Once publication bias was corrected, what happened to the apparent bilingual advantage?

The 25-minute weekday session

  1. Recall5 minutes retrieving earlier words and moves.
  2. Study a model5 minutes with one author's prose.
  3. Write8 minutes on the week's evolving piece.
  4. Revise5 minutes; keep uncertainty in the text.
  5. Speak2 minutes explaining the point aloud.
Each weekday session loops through recalling, studying, writing, revising and speaking.

Open the page · 1 min

Technical Writing as Reasoning

Technical Writing as Reasoning

When a sentence will not come, the sentence is rarely the problem. Usually you cannot yet tell your observations from your inferences and assumptions.

Pick one

Nygard's decision records give context, decision, status and consequences. What does the page say most records leave out?

Five Steps to a Checkable Recommendation

  1. Define termsSay what 'slow' or 'down' actually measures.
  2. Separate claimsLabel observations, inferences and assumptions.
  3. Best opponentState the strongest competing explanation or design.
  4. Name evidenceSay what would change your conclusion.
  5. Rewrite to actLead with the recommendation, then reasons, then limits.
Separate what you saw from what you assumed, then write so others can act.

Open the page · 1 min

The Weekly Loop

The Weekly Loop: Read, Reconstruct, Make, Defend, Log

On a test five minutes later, students who had reread a passage beat students who had practised recalling it. A week later the recallers won, though the rereaders felt more confident (Roediger and Karpicke 2006).

Pick one

An AI can do many jobs in this loop. Which one does the page rule out?

The Weekly Loop

  1. ReadOne primary text, slowly.
  2. ReconstructPremises, conclusion, hidden premises, weakest premise.
  3. MakeAn essay, proof, program or diagram as evidence.
  4. DefendFace the strongest objection and revise.
  5. LogOne line: what was wrong, what changed.
No week counts without something made. In a short week, reconstruct one passage in writing and log it: the reconstruction is the made thing.

Open the page · 1 min

Peirce on the Fixation of Belief

Peirce on the Fixation of Belief

In 1877 Peirce had a kind word for the ostrich. One that buries its head as danger approaches, he wrote, 'very likely takes the happiest course.' The catch is other people.

Pick one

Peirce says inquiry has exactly one job. What is it?

Four Ways to Settle Belief

Tenacity

  • Cling to a view, avoid challenges
  • Other people's views bring doubt back

Authority

  • An institution fixes doctrine
  • Other times and places believe differently

A priori

  • Adopt what seems agreeable to reason
  • Beliefs follow taste and fashion

Science

  • Belief caused by something external
  • Slower, but mistakes can be corrected
Only the method of science rests on something independent of our opinions, so it can correct itself.

Open the page · 1 min

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Level 2

Test it

8 questions from the Rhetoric curriculum, Round 1.

Question 1 of 8

Aristotle names three kinds of proof furnished by speech (Rhetoric I.2, 1356a): the speaker's character (ethos), the hearer's frame of mind (pathos) and the argument itself (logos). A speaker says: 'I have inspected this town's bridges for twenty years and have never once played down a fault. Trust me: the bridge is safe.' Which does the speaker lean on?

Question 2 of 8

The English Expression page sets one standard for clear expression. What is it?

Question 3 of 8

Step 1 of the Academy's elenchus asks for the claim stated so it could be wrong. Which version of 'the new rota is working' does that?

Question 4 of 8

A charity appeal opens: 'Tonight a child in this city will sleep in a doorway in the rain. Picture her.' No figure or reason has yet been given. Which appeal is this opening making?

Question 5 of 8

In the English Expression page's table of what mastery looks like, what is the evidence of improvement in speech?

Question 6 of 8

The Academy's elenchus asks for the strongest objection, not the weakest. Why?

Question 7 of 8

A council report says: 'The bridge's sensors recorded loads above its rated limit on 40 of the last 60 days. The council's own rule requires an inspection whenever the rated limit is exceeded. So the bridge must be inspected.' Which appeal does most of the work?

Question 8 of 8

Augustine asks what use a golden key is if it cannot open what we want it to open, and what objection there is to a wooden one that can. What does the image say about words?

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Try it, then read the source

Rhetoric in the curriculum Pick another art

First seminar text: Gorgias, Encomium of Helen