mathematics

Michael Resnik

Michael Resnik 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 Michael Resnik rather than just read about it. In short: Michael David Resnik (; born March 20, 1938) is a leading contemporary American philosopher of mathematics. Biography Resnik obtained his B.A. in mathematics and philosophy at Yale University in 1960, and his PhD in Philosophy at Harvard University in 1964.

Key takeaways

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

Reference excerpt

Michael David Resnik (; born March 20, 1938) is a leading contemporary American philosopher of mathematics.

Biography Resnik obtained his B.A. in mathematics and philosophy at Yale University in 1960, and his PhD in Philosophy at Harvard University in 1964. He wrote his thesis on Frege. He was appointed Associate Professor at the University of North Carolina at Chapel Hill in 1967, Professor in 1975, and University Distinguished Professor in 1988. He is Professor Emeritus of University of North Carolina at Chapel Hill and currently resides in rural Chatham County, North Carolina.

Publications

Books Elementary Logic. 1970. Frege and the Philosophy of Mathematics. 1980. Choices: An Introduction to Decision Theory. 1987. Gefwert, Christoffer (1995). Mathematical Objects and Mathematical Knowledge. Ashgate. ISBN 978-1-85521-638-9. Mathematics As a Science of Patterns. 1997.

Journal articles "On Skolem's Paradox". Journal of Philosophy. 1966. "On the Philosophical Significance of Consistency Proofs". Journal of Philosophical Logic. 1974. "Frege and Analytic Philosophy: Facts and Speculations". Midwest Studies. 1981. Resnik, Michael D. (1981). "Mathematics as a Science of Patterns: Ontology and Reference". Noûs. 15 (4): 529–550. doi:10.2307/2214851. JSTOR 2214851. Resnik, Michael D. (1982). "Mathematics as a Science of Patterns: Epistemology". Noûs. 16 (1): 95–105. doi:10.2307/2215419. JSTOR 2215419. Resnik, Michael D. (1985). "Logic: Normative or Descriptive?". Philosophy of Science. 52 (2): 221–238. doi:10.1086/289241. S2CID 122441386. "Impartial Welfarism and the Concept of a Person". Erkenntnis. 1986. "Second-order Logic Still Wild!". Journal of Philosophy. 1988. "Between Mathematics and Physics". Philosophy of Science Association Proceedings. 1990. "A Naturalized Epistemology for Mathematical Objects". Philosophica. 1990. "Immanent Truth". Mind. 1991. "Proof as a Source of Truth". Proof and Knowledge in Mathematics, ed. By Detlefsen. 1992. "Scientific vs. Mathematical Realism: The Indispensability Argument". Philosophia Mathematica. 1995. "Structural Relativity". Philosophia Mathematica. 1996. "On Positing Mathematical Objects". Frege: Importance and Legacy, M. Schirn, Ed. 1996.

References

External links Philpapers.org Home page of Michael_Resnik

Worked examples

Example 1 — a first encounter with Michael Resnik

Start with the simplest possible case. Write down what Michael Resnik 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 Michael Resnik 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 Michael Resnik 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 Michael Resnik

In research: Michael Resnik 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 Michael Resnik 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: Michael Resnik is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1938 births, 20th-century American philosophers, 20th-century American science writers, so understanding it makes those chapters shorter.
In everyday life: Look for Michael Resnik 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 Michael Resnik in 20 minutes

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

Frequently asked questions

What is Michael Resnik in simple terms?

Michael David Resnik (; born March 20, 1938) is a leading contemporary American philosopher of mathematics. Biography Resnik obtained his B.A. in mathematics and philosophy at Yale University in 1960, and his PhD in Philosophy at Harvard University in 1964.

Why does Michael Resnik 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 Michael Resnik?

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 Michael Resnik.