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Feferman on Foundations - Logic, Mathematics, Philosophy (Hardcover, 1st ed. 2017)
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Feferman on Foundations - Logic, Mathematics, Philosophy (Hardcover, 1st ed. 2017)
Series: Outstanding Contributions to Logic, 13
Expected to ship within 18 - 22 working days
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This volume honours the life and work of Solomon Feferman, one of
the most prominent mathematical logicians of the latter half of the
20th century. In the collection of essays presented here,
researchers examine Feferman's work on mathematical as well as
specific methodological and philosophical issues that tie into
mathematics. Feferman's work was largely based in mathematical
logic (namely model theory, set theory, proof theory and
computability theory), but also branched out into methodological
and philosophical issues, making it well known beyond the borders
of the mathematics community. With regard to methodological issues,
Feferman supported concrete projects. On the one hand, these
projects calibrate the proof theoretic strength of subsystems of
analysis and set theory and provide ways of overcoming the
limitations imposed by Goedel's incompleteness theorems through
appropriate conceptual expansions. On the other, they seek to
identify novel axiomatic foundations for mathematical practice,
truth theories, and category theory. In his philosophical research,
Feferman explored questions such as "What is logic?" and proposed
particular positions regarding the foundations of mathematics
including, for example, his "conceptual structuralism." The
contributing authors of the volume examine all of the above issues.
Their papers are accompanied by an autobiography presented by
Feferman that reflects on the evolution and intellectual contexts
of his work. The contributing authors critically examine Feferman's
work and, in part, actively expand on his concrete mathematical
projects. The volume illuminates Feferman's distinctive work and,
in the process, provides an enlightening perspective on the
foundations of mathematics and logic.
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