Infinity And Truth, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814571040
  • ISBN-13: 9789814571043
  • DDC: 510.1
  • Grade Level Range: College Freshman - College Senior
  • 244 Pages | eBook
  • Original Copyright 2013 | Published/Released December 2014
  • This publication's content originally published in print form: 2013

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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.

Table of Contents

Front Cover.
Half Title Page.
Other Frontmatter.
Title Page.
Copyright Page.
1: Invited Lectures.
2: Absoluteness, Truth, and Quotients.
3: A Multiverse Perspective on the Axiom of Constructibility.
4: Hilbert, Bourbaki and the Scorning of Logic.
5: Toward Objectivity in Mathematics.
6: Sort Logic and Foundations of Mathematics.
7: Reasoning about Constructive Concepts.
8: Perfect Infinities and Finite Approximation.
9: Special Session.
10: An Objective Justification for Actual Infinity?.
11: Oracle Questions.