Multiplying senses

Abstract
My aim is to motivate and develop a view of what senses are. Senses, as I conceive of them, avoid a number of the problems that plague a broadly Fregean approach to the semantics of belief ascriptions, as I hope to show. The chief innovation of my view that enables these solutions is that beliefs are taken to have multiple, truth-conditionally equivalent contents. In traditional Fregean terminology, a belief does not involve a relation to a single thought, but to many thoughts, some of which are very fine-grained, and some of which are rather coarse-grained. Each thought is a structured entity ultimately composed of unstructured senses that themselves vary in their level of grain. It is no part of my attempted vindication of senses that senses are closely related to the meanings of words, phrases, and sentences; this feature of historical Fregeanism I disavow. I endorse rather the equally traditional claim that senses are concepts or, if truth-evaluable, the propositional contents of belief.
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