Philosophy of Mathematics: Structure and Ontology
"Clearly and charmingly written, and provides a strong defence of structuralism....There is no doubt that the book represents an important and original contribution to the field, and deserves to be widely read and discussed."--Mathematical Reviews"This book is an important contribution...presenting an original, structuralist philosophy and axiomatic framework in comprehensive detail, placing it in broad philosophical and historical perspective, and comparing it systematically with other approaches seen as leading structuralist alternatives to the one set forth by Shapiro himself....this is an interesting, important, and thought-provoking book, sure to stimulate further work in developing structuralist philosophy in mathematics."--Journal of Symbolic Logic