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Philosophy of mathematics
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| 자료유형 | 단행본 |
|---|---|
| 서명/저자사항 | Philosophy of mathematics/ 횠ystein Linnebo. |
| 개인저자 | Linnebo, 횠ystein,author. |
| 발행사항 | Princeton, NJ: Princeton University Press, [2017]. |
| 형태사항 | 1 online resource (vi, 203 pages). |
| 총서사항 | Princeton foundations of contemporary philosophy |
| 기타형태 저록 | Print version: LINNEBO, OYSTEIN. PHILOSOPHY OF MATHEMATICS. [Place of publication not identified] : PRINCETON University PRES, 2017 0691161402 |
| ISBN | 9781400885244 1400885248 |
| 기타표준부호 | 10.1515/9781400885244doi |
| 서지주기 | Includes bibliographical references and index. |
| 내용주기 | Cover; Title; Copyright; Contents; Acknowledgments; Introduction; CHAPTER ONE Mathematics as a Philosophical Challenge; CHAPTER TWO Frege's Logicism; CHAPTER THREE Formalism and Deductivism; CHAPTER FOUR Hilbert's Program; CHAPTER FIVE Intuitionism; CHAPTER SIX Empiricism about Mathematics; CHAPTER SEVEN Nominalism; CHAPTER EIGHT Mathematical Intuition; CHAPTER NINE Abstraction Reconsidered; CHAPTER TEN The Iterative Conception of Sets; CHAPTER ELEVEN Structuralism; CHAPTER TWELVE The Quest for New Axioms; Concluding Remarks; Bibliography; Index |
| 요약 | Mathematics is one of humanity's most successful yet puzzling endeavors. It is a model of precision and objectivity, but appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic yet accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Written by Oystein Linnebo, one of the world's leading scholars on the subject, the book introduces all of the classical approaches to the field, including logicism, formalism, intuitionism, empiricism, and structuralism. It also contains accessible introductions to some more specialized issues, such as mathematical intuition, potential infinity, the iterative conception of sets, and the search for new mathematical axioms. The groundbreaking work of German mathematician and philosopher Gottlob Frege, one of the founders of analytic philosophy, figures prominently throughout the book.0Other important thinkers whose work is introduced and discussed include Immanuel Kant, John Stuart Mill, David Hilbert, Kurt Godel, W. V. Quine, Paul Benacerraf, and Hartry H. Field. Sophisticated but clear and approachable, this is an essential introduction for all students and teachers of philosophy, as well as mathematicians and others who want to understand the foundations of mathematics. |
| 일반주제명 | Mathematics --Philosophy. MATHEMATICS / Essays MATHEMATICS / Pre-Calculus MATHEMATICS / Reference Mathematics --Philosophy. PHILOSOPHY / General |
| 언어 | In English. |
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