Against Singularism
Against Singularism
Because of the power and significance of first-order logic in its traditional form, restricted to distributive predication, it has been natural to try to express non-distributive plurals within that framework. Two approaches leap quickly to the mind of the student of standard first-order logic who is trying to come to terms with non-distributive plurals. The first is ‘the multiple relations idea’. The second is the adoption of some variety of singularism, representing plurals by a single object that encompasses many. This chapter presents some initial considerations for the case that it will ultimately be better to reconsider the underlying logic.
Keywords: first-order logic, non-distributive predication, multiple relations idea, plurals
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