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William Bigelow Easton

William Bigelow Easton is a mathematics 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 William Bigelow Easton rather than just read about it. In short: William Bigelow Easton is an American mathematician and computer scientist who proved Easton's theorem about the possible values of the continuum function. His advisor at Princeton was the mathematician and computer scientist Alonzo Church.

Key takeaways

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

Reference excerpt

William Bigelow Easton is an American mathematician and computer scientist who proved Easton's theorem about the possible values of the continuum function. His advisor at Princeton was the mathematician and computer scientist Alonzo Church. As of 2026, he lives in Charlottesville, Virginia.

Publications Easton, W. (1970), "Powers of regular cardinals", Ann. Math. Logic, 1 (2): 139–178, doi:10.1016/0003-4843(70)90012-4 Easton, William B. (1972). "Process Synchronization without Long-Term Interlock". In McCluskey, Edward J.; Fortis, Nicholas A.; Lampson, Butler W.; Bredt, Thomas H. (eds.). Proceedings of the Third Symposium on Operating System Principles, SOSP 1971, Stanford University, Palo Alto, California, USA, October 18-20, 1971. ACM. pp. 95–100.

References

Worked examples

Example 1 — a first encounter with William Bigelow Easton

Start with the simplest possible case. Write down what William Bigelow Easton claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, 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 William Bigelow Easton 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 William Bigelow Easton 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 William Bigelow Easton

In research
William Bigelow Easton appears in mathematics 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 William Bigelow Easton 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
William Bigelow Easton is common in secondary-school and first-year university syllabi. It links to neighbouring topics American computer scientists, American mathematician stubs, American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for William Bigelow Easton 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 William Bigelow Easton in 20 minutes

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

Frequently asked questions

What is William Bigelow Easton in simple terms?

William Bigelow Easton is an American mathematician and computer scientist who proved Easton's theorem about the possible values of the continuum function. His advisor at Princeton was the mathematician and computer scientist Alonzo Church.

Why does William Bigelow Easton matter?

Because it connects several mathematics 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 William Bigelow Easton?

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 William Bigelow Easton.

Tags

  • American computer scientists
  • American mathematician stubs
  • American mathematicians
  • Set theorists

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