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Philosophy of Mathematics (Hardcover, New)
Loot Price: R5,697
Discovery Miles 56 970
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Philosophy of Mathematics (Hardcover, New)
Series: Handbook of the Philosophy of Science
Expected to ship within 10 - 15 working days
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One of the most striking features of mathematics is the fact that
we are much more certain about the mathematical knowledge we have
than about what mathematical knowledge is knowledge of. Are
numbers, sets, functions and groups physical entities of some kind?
Are they objectively existing objects in some non-physical,
mathematical realm? Are they ideas that are present only in the
mind? Or do mathematical truths not involve referents of any kind?
It is these kinds of questions that have encouraged philosophers
and mathematicians alike to focus their attention on issues in the
philosophy of mathematics. Over the centuries a number of
reasonably well-defined positions about the nature of mathematics
have been developed and it is these positions (both historical and
current) that are surveyed in the current volume.
Traditional theories (Platonism, Aristotelianism, Kantianism), as
well as dominant modern theories (logicism, formalism,
constructivism, fictionalism, etc.), are all analyzed and
evaluated. Leading-edge research in related fields (set theory,
computability theory, probability theory, paraconsistency) is also
discussed.
The result is a handbook that not only provides a comprehensive
overview of recent developments but that also serves as an
indispensable resource for anyone wanting to learn about current
developments in the philosophy of mathematics.
-Comprehensive coverage of all main theories in the philosophy of
mathematics
-Clearly written expositions of fundamental ideas and
concepts
-Definitive discussions by leading researchers in the field
-Summaries of leading-edge research in related fields (set theory,
computability theory, probability theory, paraconsistency) are also
included
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