Quantification and Logical Form

This paper deals with the logical form of quantied sentences. Its purpose is to elucidate one plausible sense in which quantied sentences can adequately be represented in the language of first-order logic. Section 1 introduces some basic notions drawn from general quantication theory. Section 2 outlines a crucial assumption, namely, that logical form is a matter of truth-conditions. Section 3 shows how the truth-conditions of quantied sentences can be represented in the language of first-order logic consistently with some established undenability results. Section 4 sketches an account of vague quantier expressions along the lines suggested. Finally, section 5 addresses the vexed issue of logicality.