science

Minds, Machines and Gödel

Minds, Machines and Gödel is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Minds, Machines and Gödel rather than just read about it. In short: "Minds, Machines and Gödel" is J. R.

Key takeaways

Minds, Machines and Gödel belongs to science; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Minds, Machines and Gödel to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Minds, Machines and Gödel from memory before moving on to harder problems.

Reference excerpt

"Minds, Machines and Gödel" is J. R. Lucas's 1959 philosophical paper in which he argues that a human mathematician cannot be accurately represented by an algorithmic automaton. Appealing to Gödel's incompleteness theorem, he argues that for any such automaton, there would be some mathematical formula which it could not prove, but which the human mathematician could both see, and show, to be true. The paper is a Gödelian argument against mechanism. Lucas presented the paper in 1959 to the Oxford Philosophical Society. It was first printed in Philosophy, XXXVI, 1961, then reprinted in The Modeling of Mind, Kenneth M. Sayre and Frederick J. Crosson, eds., Notre Dame Press, 1963, and in Minds and Machines, ed. Alan Ross Anderson, Prentice-Hall, 1964, ISBN 0-13-583393-0.

See also Artificial intelligence Philosophy of artificial intelligence

References

External links Minds, Machines and Gödel — the original paper Archived 2007-08-19 at the Wayback Machine

Worked examples

Example 1 — a first encounter with Minds, Machines and Gödel

Start with the simplest possible case. Write down what Minds, Machines and Gödel claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Minds, Machines and Gödel before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Minds, Machines and Gödel ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Minds, Machines and Gödel

In research: Minds, Machines and Gödel appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Minds, Machines and Gödel in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Minds, Machines and Gödel is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1959 essays, Cognitive science literature, Essay stubs, so understanding it makes those chapters shorter.
In everyday life: Look for Minds, Machines and Gödel outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Minds, Machines and Gödel in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Minds, Machines and Gödel means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Minds, Machines and Gödel out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Minds, Machines and Gödel in simple terms?

"Minds, Machines and Gödel" is J. R.

Why does Minds, Machines and Gödel matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Minds, Machines and Gödel?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Minds, Machines and Gödel.