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Logicism, Intuitionism, and Formalism - What Has Become of Them? (Hardcover, 2009 ed.)
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Logicism, Intuitionism, and Formalism - What Has Become of Them? (Hardcover, 2009 ed.)
Series: Synthese Library, 341
Expected to ship within 12 - 19 working days
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The present anthology has its origin in two international
conferences that were arranged at Uppsala University in August
2004: "Logicism, Intuitionism and F- malism: What has become of
them?" followed by "Symposium on Constructive Mathematics." The rst
conference concerned the three major programmes in the foundations
of mathematics during the classical period from Frege's Begrif-
schrift in 1879 to the publication of Godel' ] s two incompleteness
theorems in 1931: The logicism of Frege, Russell and Whitehead, the
intuitionism of Brouwer, and Hilbert's formalist and
proof-theoretic programme. The main purpose of the conf- ence was
to assess the relevance of these foundational programmes to
contemporary philosophy of mathematics. The second conference was
announced as a satellite event to the rst, and was speci cally
concerned with constructive mathematics-an
activebranchofmathematicswheremathematicalstatements-existencestatements
in particular-are interpreted in terms of what can be effectively
constructed. C- structive mathematics may also be characterized as
mathematics based on intuiti- isticlogicand, thus,
beviewedasadirectdescendant ofBrouwer'sintuitionism. The two
conferences were successful in bringing together a number of
internationally renowned mathematicians and philosophers around
common concerns. Once again it was con rmed that philosophers and
mathematicians can work together and that real progress in the
philosophy and foundations of mathematics is possible only if they
do. Most of the papers in this collection originate from the two
conferences, but a few additional papers of relevance to the issues
discussed at the Uppsala c- ferences have been solicited especially
for this volume."
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