Incomparable Values

Analysis, Axiomatics and Applications

John Nolt

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Hardback

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English

Routledge
11 February 2022

Philosophy: logic; Ethics & moral philosophy; Philosophy of mathematics; Probability & statistics

Series: Routledge Studies in Ethics and Moral Theory

People tend to rank values of all kinds linearly from good to bad, but there is little reason to think that this is reasonable or correct. This book argues, to the contrary, that values are often partially ordered and hence frequently incomparable.

Proceeding logically from a small set of axioms, John Nolt examines the great variety of partially ordered value structures, exposing fallacies that arise from overlooking them. He reveals various ways in which incomparability is obscured: using linear indices to summarize partially ordered data, relying on an inadequately defined concept of parity, or conflating incomparability with vagueness. Incomparability can enrich and clarify a range of topics including the paradoxes of Derek Parfit, rational decision theory, and the infinite values of theology. Finally, Nolt shows how to generalize many of the concepts introduced earlier, explores the intricate depths of certain noteworthy partially ordered value structures, and argues for the finitude of value.

Incomparable Values will be of interest to scholars and advanced students working in ethics, value theory, rational decision theory, and logic.

By: John Nolt
Imprint: Routledge
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm,
Weight: 453g
ISBN: 9780367563684
ISBN 10: 0367563681
Series: Routledge Studies in Ethics and Moral Theory
Pages: 458
Publication Date: 11 February 2022
Audience: College/higher education , Further / Higher Education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Part I. Preliminaries 1. Incomparability, Axiologies, Axiomatics, and Model Theory 2. Logic, Comparison, Hasse Diagrams, and Set Theory Part II. Basic Formal Axiology 3. Arithmetical Value Structures 4. Cartesian Models 5. Integer Multiplication, Delimitation, and Commensurability 6. Incomparability Obscured 7. Aggregating Welfare over Populations 8. Evaluating and Comparing Situations Part III. Ethical Decision Theory 9. The Deontic Logic of Decision 10. Rational Ethical Decisions Part IV. Bounds 11. Absolute Value and Concept Generalization 12. Bounds of Finite Value Sets 13. Value Analysis 14. Incomparability and Infinity

John Nolt is Professor Emeritus in Philosophy at the University of Tennessee and a Research Fellow at the Howard Baker Center for Public Policy. He has published seven books, including Environmental Ethics for the Long Term (Routledge, 2015), and numerous articles on logic and environmental, intergenerational, and climate ethics.

Reviews for Incomparable Values: Analysis, Axiomatics and Applications

"""This book is an outstanding contribution to the literature. Its combination of formal rigour and thoroughness with philosophical acumen is rare. This type of work is very much needed in axiology and ethics. The discussion of incomparable values in the book is by far the most detailed and precise to date. In addition, the book contains much material that should be of interest to axiologists, ethicists and decision theorists quite independently of its connections to value incomparability."" – Erik Carlson, Uppsala University, Sweden ""This book is an outstanding contribution to the literature. Its combination of formal rigour and thoroughness with philosophical acumen is rare. This type of work is very much needed in axiology and ethics. The discussion of incomparable values in the book is by far the most detailed and precise to date. In addition, the book contains much material that should be of interest to axiologists, ethicists and decision theorists quite independently of its connections to value incomparability."" Erik Carlson, Uppsala University, Sweden"