Liberal Arts and Reasoning: Start Here

This wing is about learning to think well and to make things that work, and about doing both at once. It treats logic, reading, number and craft as one practice instead of four school subjects. The aim is a mind that is hard to deceive, manipulate or frighten, and a pair of hands that can build something and explain how it works.

Most of what follows is a method, not a body of settled doctrine. The historical claims about the thinkers are well documented. The way this wing arranges them into a program of study is the author's design, and is offered as a Provisional framework you can test on yourself.

What the wing is for

The old phrase "liberal arts" meant the arts that suit a free person. In that spirit, the wing aims at intellectual freedom: you should be able to check a claim yourself, notice when an argument is a trick, and decide calmly when others are alarmed. The second aim is practical. A person who can only argue is as incomplete as a person who can only build. The The Philosopher-Engineer: Study and Workshop Together page develops that pairing.

Knowing methods versus being methodologically intelligent

A person can recite the vocabulary of Bayesian updating, falsification and formal proof and still be poor at an unfamiliar problem. Knowing about methods is not the same as using them under pressure. The deeper skill is to meet a confusing situation, work out what kind of problem it is, represent it so its structure shows, propose explanations, work out what each predicts, test, and revise without defensiveness.

The core cycle underneath all of this is simple. You observe. You form a model. The model creates an expectation. You compare it with what happens. Where they differ you have found an error, and you revise the model. Established as a description of how empirical inquiry works; Provisional as a claim that practising it deliberately makes you better at it.

One machine for reducing error

Seen this way, the great traditions are parts of one error-reducing machine. This is an analogy, not a historical claim that these thinkers were collaborating.

• Socrates cross-examines beliefs until contradictions appear.
• Euclid builds chains of necessity from stated premises.
• Aristotle asks what a thing is, what causes it and what follows from its nature.
• Bacon names the habits of mind that corrupt observation.
• Hume shows how much everyday inference exceeds what reason can strictly prove.
• Peirce describes inquiry as abduction, deduction and induction working together.
• Popper insists that a claim worth believing must expose itself to refutation.
• Bayes gives belief revision a quantitative form.
• Pearl separates seeing an association from intervening on a cause.
• Simon shows that real reasoners work under limits of time and information.

The operating loop

Ten verbs make a loop you can run on any problem. Each step also prevents a characteristic error.

The first three steps are developed in Observe, Define, Represent: The First Three Moves. A worked, everyday version of the middle steps appears in Evidence-Based Troubleshooting: Separating Explanations, and the same discipline applied to food claims is in Reading Nutrition Evidence: What a Study Can and Cannot Show.

Neither antiquarianism nor presentism

If you read only old books, you risk treating them as ornaments and ignoring tools the old authors never had, such as probability theory and computing. If you use only current techniques, you inherit their fashions and cannot judge them. This wing pairs each ancient idea with a modern counterpart so each corrects the other.

Nine powers that correct one another

A well-rounded program of study develops nine capacities, each checking the others' blind spots:

1. Ends: what is real, good and worth pursuing
2. Language and proof: what follows from what
3. Character: whether reason can govern desire and fear
4. History and politics: how groups organize, rule and fail
5. Scarcity: how finite resources are valued and allocated
6. Science and probability: what evidence justifies belief
7. Systems and risk: how interacting parts fail or endure
8. Computation: what machines can represent and miss
9. Moral imagination: what abstraction overlooks about suffering and meaning

Three kinds of page, and where to start

Pages here are of three kinds: ideas (what a thinker claimed), methods (what to do), and maps (how topics relate). A sensible order:

1. The Philosopher-Engineer: Study and Workshop Together (idea): the ideal behind the wing.
2. The Weekly Loop: Read, Reconstruct, Make, Defend, Log (method): the weekly practice. Begin here if you want to start doing something today.
3. How to Read a Great Book: Levels, Modes and the Completion Standard (method): how to read difficult texts.
4. Observe, Define, Represent: The First Three Moves (method): the first three moves.
5. A Map of Mathematics: Twenty-Five Areas and What Depends on What (map): where number fits, and what depends on what.
6. Peirce on the Fixation of Belief (idea): a first primary text to practise on.

How to use the wing

Hold one text, one question and one made thing at a time. Finish the made thing before opening another text. A week with something produced beats a week of wide reading.

Connections across the site

The wing links outward. The monochord and the Pythagorean comma show number and music meeting. Euclid's postulates and the elenchus are hands-on entries to proof and questioning, and sourced quotations gives primary-source wording you can check.

Try this

1. Take one belief you hold about your work or health. Write the observation behind it in one sentence, free of interpretation.
2. Run the ten-step loop on a small problem this week and note which step you skipped.

Further reading

• Aristotle, Nicomachean Ethics, Book I.
• Charles S. Peirce, "The Fixation of Belief" (1877).
• George Polya, How to Solve It (Princeton University Press, 1945).
• Herbert A. Simon, The Sciences of the Artificial (1969).
• Mortimer J. Adler and Charles Van Doren, How to Read a Book (rev. ed., 1972).