mathematics

Justin T. Moore

Justin T. Moore 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 Justin T. Moore rather than just read about it. In short: Justin Tatch Moore (born 1974) is a set theorist and logician. He is a full professor in mathematics at Cornell University.

Key takeaways

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

Reference excerpt

Justin Tatch Moore (born 1974) is a set theorist and logician. He is a full professor in mathematics at Cornell University.

Career Moore received his PhD in 2000 from the University of Toronto under the supervision of Stevo Todorcevic. He was an assistant professor in mathematics at Boise State University. In the fall of 2007, he joined the faculty at Cornell University.

Research His primary research area is Ramsey theory of infinite sets. He is known for solutions to the basis problem for uncountable linear orders and to the L space problem from general topology and for his work in determining the consequences of relating the continuum to certain values of the aleph function. Moore, together with his PhD student Yash Lodha, produced the first torsion-free and finitely presented counterexample to the von Neumann-Day problem, originally described by mathematician John von Neumann in 1929. Lodha presented this solution at the London Mathematical Society's Geometric and Cohomological Group Theory symposium in August 2013.

Awards, distinctions, and recognitions Moore won the "Young Scholar's Competition" award in 2006, in Vienna, Austria. The Competition was a part of the "Horizons of Truth" celebrating the Gödel Centenary 2006. He was an invited speaker at the ICM, Hyderabad 2010, Logic session, where he presented his solution to the problem of constructing an L-space. The L-space was constructed without assuming additional axioms and by combining Todorcevic's rho functions with number theory. Moore is an editor for the Archive of Mathematical Logic where he handles papers in set theory. He was one of the organizers of the fall 2012 Thematic Program in Forcing and its Applications (Forcing Axioms and their Applications) at the Fields Institute. In 2012, he was elected as a Fellow (Inaugural Class of Fellows) of the American Mathematical Society.

Sources

External links Justin Tatch Moore Collected Works

Worked examples

Example 1 — a first encounter with Justin T. Moore

Start with the simplest possible case. Write down what Justin T. Moore 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 Justin T. Moore 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 Justin T. Moore 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 Justin T. Moore

In research: Justin T. Moore 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 Justin T. Moore 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: Justin T. Moore is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1974 births, Cornell University faculty, Fellows of the American Mathematical Society, so understanding it makes those chapters shorter.
In everyday life: Look for Justin T. Moore 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.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Justin T. Moore in 20 minutes

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

Frequently asked questions

What is Justin T. Moore in simple terms?

Justin Tatch Moore (born 1974) is a set theorist and logician. He is a full professor in mathematics at Cornell University.

Why does Justin T. Moore 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 Justin T. Moore?

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 Justin T. Moore.