The Resource Philosophy of mathematics, Øystein Linnebo
Philosophy of mathematics, Øystein Linnebo
Resource Information
The item Philosophy of mathematics, Øystein Linnebo represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Philosophy of mathematics, Øystein Linnebo represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (vi, 203 pages)
- 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
- Isbn
- 9781400885244
- Label
- Philosophy of mathematics
- Title
- Philosophy of mathematics
- Statement of responsibility
- Øystein Linnebo
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.sandiego.edu/portal/Philosophy-of-mathematics-%C3%98ystein/v8OGFKAOHWI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Philosophy-of-mathematics-%C3%98ystein/v8OGFKAOHWI/">Philosophy of mathematics, Øystein Linnebo</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>
