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Books > Science & Mathematics > Science: general issues > Philosophy of science
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Goedel, Tarski and the Lure of Natural Language - Logical Entanglement, Formalism Freeness (Hardcover)
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Goedel, Tarski and the Lure of Natural Language - Logical Entanglement, Formalism Freeness (Hardcover)
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Is mathematics 'entangled' with its various formalisations? Or are
the central concepts of mathematics largely insensitive to
formalisation, or 'formalism free'? What is the semantic point of
view and how is it implemented in foundational practice? Does a
given semantic framework always have an implicit syntax? Inspired
by what she calls the 'natural language moves' of Goedel and
Tarski, Juliette Kennedy considers what roles the concepts of
'entanglement' and 'formalism freeness' play in a range of logical
settings, from computability and set theory to model theory and
second order logic, to logicality, developing an entirely original
philosophy of mathematics along the way. The treatment is
historically, logically and set-theoretically rich, and topics such
as naturalism and foundations receive their due, but now with a new
twist.
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