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The Metaphysics and Mathematics of Arbitrary Objects

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Title: The Metaphysics and Mathematics of Arbitrary Objects
Description: Building on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how arbitrary objects can engage with the nineteenth-century concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day.
Authors: Leon Horsten
Resource Type: eBook.
Subjects: Mathematical recreations, Metaphysics, Logic, Symbolic and mathematical, Mathematics--Philosophy, Random variables, Probabilities--Philosophy, Variables (Mathematics), Abstraction
Categories: SCIENCE / Philosophy & Social Aspects
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 2144055
RelevancyScore: 1090
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1090.09973144531
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  Data: The Metaphysics and Mathematics of Arbitrary Objects
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  Data: Building on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how arbitrary objects can engage with the nineteenth-century concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day.
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 510.1
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Mathematical recreations
        Type: general
      – SubjectFull: Metaphysics
        Type: general
      – SubjectFull: Logic, Symbolic and mathematical
        Type: general
      – SubjectFull: Mathematics--Philosophy
        Type: general
      – SubjectFull: Random variables
        Type: general
      – SubjectFull: Probabilities--Philosophy
        Type: general
      – SubjectFull: Variables (Mathematics)
        Type: general
      – SubjectFull: Abstraction
        Type: general
    Titles:
      – TitleFull: The Metaphysics and Mathematics of Arbitrary Objects
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Leon Horsten
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          Name:
            NameFull: Leon Horsten
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2019
            – D: 28
              M: 06
              Type: profile
              Y: 2019
          Identifiers:
            – Type: isbn-print
              Value: 9781107039414
            – Type: isbn-electronic
              Value: 9781108601771
          Titles:
            – TitleFull: The Metaphysics and Mathematics of Arbitrary Objects
              Type: main
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