Coverart for item
The Resource Philosophy of mathematics, Øystein Linnebo

Philosophy of mathematics, Øystein Linnebo

Label
Philosophy of mathematics
Title
Philosophy of mathematics
Statement of responsibility
Øystein Linnebo
Creator
Author
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Linnebo, Øystein
Index
index present
Language note
In English
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Princeton foundations of contemporary philosophy
http://library.link/vocab/subjectName
  • Mathematics
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
  • PHILOSOPHY
  • Mathematics
  • Philosophie
  • Mathematik
Label
Philosophy of mathematics, Øystein Linnebo
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
ocn984692735
Dimensions
unknown
Extent
1 online resource (vi, 203 pages)
File format
unknown
Form of item
online
Isbn
9781400885244
Lccn
2017938623
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
Other control number
10.1515/9781400885244
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt215vksc
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)984692735
Label
Philosophy of mathematics, Øystein Linnebo
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
ocn984692735
Dimensions
unknown
Extent
1 online resource (vi, 203 pages)
File format
unknown
Form of item
online
Isbn
9781400885244
Lccn
2017938623
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
Other control number
10.1515/9781400885244
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt215vksc
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)984692735

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