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Higher-Order Metaphysics is written by Peter Fritz and published by Oxford University Press. It's available with International Standard Book Number or ISBN identification 0192894889 (ISBN 10) and 9780192894885 (ISBN 13).
This volume explores the use of higher-order logics in metaphysics. Seventeen original essays trace the development of higher-order metaphysics, discuss different ways in which higher-order languages and logics may be used, and consider their application to various central topics of metaphysics.