Abstract Objects

Cover
Title page
Copyright page
Abstract Objects
	Contents
	1 Introduction to this Element
	2 Introduction to the Debate
		2.1 What Does ‘Abstract Object’ Mean?
		2.2 The Abstract/Concrete Distinction
		2.3 Who Has the Burden of Proof?
	3 For Abstract Objects
		3.1 Numbers
		3.2 Propositions and Other Abstract Objects
		3.3 Responses to the Arguments: Concretism
		3.4 Responses to the Arguments: Paraphrase
		3.5 Responses to the Arguments: Error Theory
			3.5.1 Error Theories and Benacerraf’s ‘Mathematical Truth’
			3.5.2 Criticisms of Error Theories
			3.5.3 Error-Theoretic Responses to the Indispensability Argument
			3.5.4 Hard Road Responses
			3.5.5 Easy Road Responses
	4 Against Abstract Objects
		4.1 Ontological Motivations for Nominalism
		4.2 Epistemological Motivations for Nominalism
	5 Concluding Reflection
References
Acknowledgements