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Infinity And Truth

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Title: Infinity And Truth
Description: This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the nature of mathematical truth and how does one resolve questions that are formally unsolvable within the Zermelo-Fraenkel Set Theory with the Axiom of Choice, and (ii) Do the discoveries in mathematics provide evidence favoring one philosophical view over others? These issues are discussed from the vantage point of recent progress in foundational studies.The final chapter features questions proposed by the participants of the Workshop that will drive foundational research. The wide range of topics covered here will be of interest to students, researchers and mathematicians concerned with issues in the foundations of mathematics.
Authors: Chi Tat Chong, Qi Feng, Theodore A Slaman, W Hugh Woodin
Resource Type: eBook.
Subjects: Axiomatic set theory--Congresses, Logic, Symbolic and mathematical--Congresses, Mathematics--Philosophy--Congresses, Set theory--Congresses
Categories: MATHEMATICS / Logic, MATHEMATICS / Set Theory, MATHEMATICS / Study & Teaching
Database: eBook Collection (EBSCOhost)
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PubType: eBook
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  Data: This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the nature of mathematical truth and how does one resolve questions that are formally unsolvable within the Zermelo-Fraenkel Set Theory with the Axiom of Choice, and (ii) Do the discoveries in mathematics provide evidence favoring one philosophical view over others? These issues are discussed from the vantage point of recent progress in foundational studies.The final chapter features questions proposed by the participants of the Workshop that will drive foundational research. The wide range of topics covered here will be of interest to students, researchers and mathematicians concerned with issues in the foundations of mathematics.
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  Data: <searchLink fieldCode="AR" term="%22Chi+Tat+Chong%22">Chi Tat Chong</searchLink><br /><searchLink fieldCode="AR" term="%22Qi+Feng%22">Qi Feng</searchLink><br /><searchLink fieldCode="AR" term="%22Theodore+A+Slaman%22">Theodore A Slaman</searchLink><br /><searchLink fieldCode="AR" term="%22W+Hugh+Woodin%22">W Hugh Woodin</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Axiomatic+set+theory--Congresses%22">Axiomatic set theory--Congresses</searchLink><br /><searchLink fieldCode="DE" term="%22Logic%2C+Symbolic+and+mathematical--Congresses%22">Logic, Symbolic and mathematical--Congresses</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics--Philosophy--Congresses%22">Mathematics--Philosophy--Congresses</searchLink><br /><searchLink fieldCode="DE" term="%22Set+theory--Congresses%22">Set theory--Congresses</searchLink>
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      – Code: 510.1
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Axiomatic set theory--Congresses
        Type: general
      – SubjectFull: Logic, Symbolic and mathematical--Congresses
        Type: general
      – SubjectFull: Mathematics--Philosophy--Congresses
        Type: general
      – SubjectFull: Set theory--Congresses
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      – TitleFull: Infinity And Truth
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            – D: 01
              M: 01
              Type: published
              Y: 2014
            – D: 04
              M: 02
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