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Michael Resnik
American mathematician

Michael Resnik

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Quick Facts

Intro
American mathematician
Gender
Male
Place of birth
New Haven, USA
Age
86 years
Education
Harvard University
Yale University
The details (from wikipedia)

Biography

Michael David Resnik (/ˈrɛznɪk/; 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. 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.
  • "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.
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Frequently Asked Questions
FAQ
What is Michael Resnik known for?
Michael Resnik is an American philosopher known for his work in philosophy of mathematics and philosophy of language.
What are some of Michael Resnik's notable contributions to philosophy?
Resnik has made notable contributions to the philosophy of mathematics by developing a structuralist philosophy of mathematics and defending it against various objections. He has also developed a theory of reference for natural language terms and explored the relationship between language and mathematics.
What is Resnik's approach to philosophy of mathematics?
Resnik's approach to philosophy of mathematics is known as structuralism. According to this approach, mathematical objects do not have inherent nature but are defined by their relations to other mathematical objects within a structure. Resnik argues that mathematical objects are abstract structures that exist independently of the physical world.
What is Resnik's theory of reference?
Resnik's theory of reference involves the idea that the meaning of a natural language term depends on the reference-fixing conventions of the language community. He argues that reference is not solely determined by the properties of the objects referred to, but also by the social conventions and practices of the language community.
What is the relationship between language and mathematics according to Resnik?
Resnik explores the relationship between language and mathematics by considering how the two interact and influence each other. He argues that language plays a foundational role in mathematics, as it is through language that mathematical ideas are expressed, communicated, and developed. Resnik also examines how mathematical structures can inform our understanding of language and its meaning.
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