
Contents
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2.1 Three Concepts 2.1 Three Concepts
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2.2 Similarity 2.2 Similarity
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2.3 Dimensions 2.3 Dimensions
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2.4 Paradigm Cases 2.4 Paradigm Cases
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2.5 The Structure and Scope of Moral Principles 2.5 The Structure and Scope of Moral Principles
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2.6 Four Types of Regions in Moral Space 2.6 Four Types of Regions in Moral Space
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2.7 Degrees of Moral Rightness 2.7 Degrees of Moral Rightness
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2.8 An Example: Nuclear Power 2.8 An Example: Nuclear Power
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Cite
Abstract
This chapter details the conceptual foundations of the geometric construal of moral principles. The notion of a “case” is discussed, and two methods for identifying paradigm cases are introduced, the ex-ante and the ex-post method. It is claimed that moral principles can be represented by Voronoi tessellations of paradigm cases. A Voronoi tessellation divides space into a number of regions such that each region consists of all cases that are closer to a predetermined seed point (paradigm case) than to any other seed point for another principle. The distance between two cases reflects their degree of similarity. This discussion is followed by a presentation of various measures of similarity and an overview of the multidimensional scaling technique. The chapter emphasizes Peter Gärdenfors’s theory of conceptual spaces as an important source of inspiration.
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