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Abstractionism - Essays in Philosophy of Mathematics (Hardcover)
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Abstractionism - Essays in Philosophy of Mathematics (Hardcover)
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Abstractionism, which is a development of Frege's original
Logicism, is a recent and much debated position in the philosophy
of mathematics. This volume contains 16 original papers by leading
scholars on the philosophical and mathematical aspects of
Abstractionism. After an extensive editors' introduction to the
topic of abstractionism, five contributions deal with the semantics
and meta-ontology of Abstractionism, as well as the so-called
Caesar Problem. Four papers then discuss abstractionist
epistemology, focusing on the idea of implicit definitions and
non-evidential warrants (entitlements) to account for a priori
mathematical knowledge. This is followed by four chapters
concerning the mathematics of Abstractionism, in particular the
issue of impredicativity, the Bad Company objection, and the
question of abstractionist set theory. Finally, the last section of
the book contains three contributions that discuss Frege's
application constraint within an abstractionist setting.
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