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Infinity and truth

Author: C -T Chong; World Scientific (Firm)
Publisher: Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2014.
Series: Lecture notes series (National University of Singapore. Institute for Mathematical Sciences), v. 25.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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 are by leading experts 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  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: C -T Chong; World Scientific (Firm)
ISBN: 9789814571043 9814571040
OCLC Number: 869905641
Description: 1 online resource (ix, 234 pages) : illustrations.
Contents: Section I. Invited lectures. Absoluteness, truth, and quotients / Ilijas Farah --
A multiverse perspective on the axiom of constructibility / Joel David Hamkins --
Hilbert, Bourbaki and the scorning of logic / A.R.D. Mathias --
Toward objectivity in mathematics / Stephen G. Simpson --
Sort logic and foundations of mathematics / Jouko Väänänen --
Reasoning about constructive concepts / Nik Weaver --
Perfect infinities and finite approximation / Boris Zilber --
Section II. Special session. An objective justification for actual infinity? / Stephen G. Simpson --
Oracle questions / Theodore Slaman and W. Hugh Woodin.
Series Title: Lecture notes series (National University of Singapore. Institute for Mathematical Sciences), v. 25.
Responsibility: editors, Chitat Chong [and others].

Abstract:

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 are by leading experts 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 progresses 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 benefit to students, researchers and mathematicians interested in the foundations of mathematics.

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