physics

Paradigm case argument

Paradigm case argument is a physics 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 Paradigm case argument rather than just read about it. In short: In analytic philosophy, the paradigm case argument (PCA) is an argument which is applied as a rebuttal to the claim that certain concepts, such as free will or knowledge are meaningless. The paradigm case argument is that if a term, such as "knowledge", is regularly applied to some cases and not to others, then that term (and the concept it refers to) cannot truly be undefined, as it clearly has some kind of definit…

Key takeaways

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

Reference excerpt

In analytic philosophy, the paradigm case argument (PCA) is an argument which is applied as a rebuttal to the claim that certain concepts, such as free will or knowledge are meaningless. The paradigm case argument is that if a term, such as "knowledge", is regularly applied to some cases and not to others, then that term (and the concept it refers to) cannot truly be undefined, as it clearly has some kind of definition in practice. The argument is so named because it often takes the form of pointing out a paradigm case—a case which unambiguously falls under the common definition of the term, and so can be taken as a definite instance of the supposedly non-existent concept. This argument was commonly applied during the flourishing of linguistic philosophy. Ian Hacking was critical of the argument structure, describing it as follows:

some British philosophers invented a happily short-lived "paradigm-case argument," so named, I think, in 1957. It was much discussed, for it seemed to be a new and general argument against various kinds of philosophical skepticism. Here is a fair parody of the idea. You cannot claim we lack free will (for example), because we had to learn the use of the expression "free will" from examples, and they are the paradigms. Since we learned the expression from the paradigms, which exist, free will exists. The argument has fallen from favour. Hacking wrote, "The authoritative Encyclopedia of Philosophy (1967) devoted six careful and informative pages to the paradigm-case argument... The argument has now disappeared from sight. The current online Stanford Encyclopedia of Philosophy does not mention it by name anywhere in its truly encyclopedic pages."

Worked examples

Example 1 — a first encounter with Paradigm case argument

Start with the simplest possible case. Write down what Paradigm case argument claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, 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 Paradigm case argument 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 Paradigm case argument 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 Paradigm case argument

In research: Paradigm case argument appears in physics 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 Paradigm case argument 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: Paradigm case argument is common in secondary-school and first-year university syllabi. It links to neighbouring topics Analytic philosophy, Metaphysics stubs, Ordinary language philosophy, so understanding it makes those chapters shorter.
In everyday life: Look for Paradigm case argument 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 Paradigm case argument in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Paradigm case argument 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 Paradigm case argument out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Paradigm case argument in simple terms?

Why does Paradigm case argument matter?

Because it connects several physics 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 Paradigm case argument?

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 Paradigm case argument.