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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.
List of contents
- Part One: Introduction
- 1: Peter Fritz and Nicholas K. Jones: Higher-Order Metaphysics: An Introduction
- 2: Andrew Bacon: A Case for Higher-Order Metaphysics
- 3: Jeremy Goodman: Higher-order logic as metaphysics
- Part Two: Pure
- 4: Andrew Bacon and Cian Dorr: Classicism
- 5: Øystein Linnebo: Reality as tall and ne, not at and coarse
- 6: Laura Crosilla: Constructive Type Theory, An Appetizer
- Part Three: Applied
- 7: Tim Button and Robert Trueman: A fictionalist theory of universals
- 8: Maegan Fairchild: Symmetry and Hybrid Contingentism
- 9: Harvey Lederman: Higher-order metaphysics and propositional attitudes
- Part Four: History
- 10: Kevin C. Klement: Higher-Order Metaphysics in Frege and Russell
- 11: Fraser MacBride: Against Second-Order Logic: Quine and Beyond
- 12: Adriane Rini: Ordinary Language meets Higher-Order Quantication
- Part Five: Discussion
- 13: Christopher Menzel: Pure Logic and Higher-order Metaphysics
- 14: Timothy Williamson: Menzel on Pure Logic and Higher-Order Metaphysics
- 15: Bryan Pickel: Against Second-Order Primitivism
- 16: Timothy Williamson: Pickel against Second-Order Primitivism
- 17: Agustín Rayo: Why I am not an Absolutist (or a First-Orderist)
About the author
Peter Fritz is Professor of Philosophy at the Dianoia Institute of Philosophy at the Australian Catholic University, and at the Department of Philosophy, Classics, History of Art and Ideas at the University of Oslo. He studied philosophy and logic at the Universities of Konstanz, Amsterdam, and Oxford, and works on logic, metaphysics, and the philosophy of language.
Nicholas K. Jones is an Associate Professor of Philosophy at the University of Oxford, as well as Official Fellow and Tutor in Philosophy at St John's College, Oxford. He studied philosophy at the University of Leeds before receiving his PhD from Birkbeck, University of London. His research lies at the intersection of metaphysics with the philosophy of logic and the philosophy of language.
Summary
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.