In this paper I examine critically the relationship between the realist and nominalist views of abstract objects. I begin by pointing out some differences between the usage of existential statements in metaphysics and the usage of such statements in disciplines outside of philosophy. Then I propose an account of existence that captures the characteristic intuitions underlying the latter kind of usage. This account implies that abstract object existence claims are not as ontologically extravagant as they seem, and that such claims are immune to certain standard nominalistic criticisms.
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The Problems of Philosophy.Bertrand Russell - 1912 - Home University Library.
The Problems of Philosophy.Theodore de Laguna - 1913 - Philosophical Review 22 (3):329.

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