The Ideal Language Project and the Non‐discrete

In Words without objects: semantics, ontology, and logic for non-singularity. New York: Oxford University Press (2006)
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Abstract

The notion of an ‘ideal language’ or ‘concept-script’ is explicated and defended, and constraints upon formal systems imposed by the ideal of transparency are explored. It is argued that non-singular symbolisms, including non-singular variables, largely fail to satisfy such constraints. In general, the semantics of non-singular expressions do not transparently reflect the corresponding ontic categories. The conditions for the possibility of transparent non-singular assertions, freed from the concept of identity, are briefly explored. The questionable influence within philosophy of the ‘Classical’ Weltanschaung is highlighted.

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Henry Laycock
Queen's University

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