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Infinity And Truth (Hardcover)
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Infinity And Truth (Hardcover)
Series: Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore, 25
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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.
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