My aim in this essay is to shed light on the origins of Peircean vagueness. The intention is therefore primarily historical-philological, exploring the logical-semiotic roots of vagueness. First, I distinguish the two senses in which Peirce treats the notion of vagueness: one referring to the subject, the other to the predicate within a proposition, specifying that I am only concerned here with the first sense of vagueness. Second, I argue that Brock and Chauviré, while attempting to unravel the…
Read moreMy aim in this essay is to shed light on the origins of Peircean vagueness. The intention is therefore primarily historical-philological, exploring the logical-semiotic roots of vagueness. First, I distinguish the two senses in which Peirce treats the notion of vagueness: one referring to the subject, the other to the predicate within a proposition, specifying that I am only concerned here with the first sense of vagueness. Second, I argue that Brock and Chauviré, while attempting to unravel the origins of Peircean vagueness through the notion of the _individuum vagum_, fail to fully resolve the problem. Third, I expound the medieval theory of _suppositio_, which concerns the denotation and quantification of the propositional subject. This medieval logical theory aimed to clarify the meaning of indefinite and indeterminate propositions. Fourth, I present textual evidence in which Peirce demonstrates his thorough knowledge of the medieval theory of _suppositio_, Peter of Spain's theory in particular. In the same section, I highlight a neglected detail within R 530, in which Peirce directly refers to the origins of the notion of vagueness. Finally, I argue that once the quantifiers (existential and universal) were discovered and formalized, Peirce gradually lost interest in the theory of _suppositio_ as a useful tool for clarifying vague (indefinite) and general (indeterminate) propositions, since he had a better logical tool at his disposal.