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Relatively recent literature on supposition theory seems to use different modern logical tools of interpretation that can be generally described as formalizations. Since the act of formalizing may be understood as a process of changing its object in the sense of making it more formal, an assessment of this kind of approaches is necessary. Accordingly, our main goal in this paper is to analyze the formality of Peter of Spain's theory of supposition and to evaluate its interpretation as a quantification theory. Our main thesis is that although Peter's theory presents certain weak notions of formality, the formality presupposed by the quantificational interpretation is nowhere to be found in his considerations. [ABSTRACT FROM AUTHOR]

The present paper aims to reconsider our approaches to the suppositio theory (in the particular case of Peter of Spain's Summaries of logic) in light of a new hypothesis of the double nature1 of medieval logic. Starting from the existing points of view, i.e. the theory of suppositio as a theory of reference and suppositio as a theory of an untranslatable, this paper will examine their underlying commitments to the nature of medieval logic. Such an analysis will entail for the former approach a commitment to a formal nature, while for the latter to a non-formal one. The possibility of a new approach emerges when both natures can be traced in Peter's theory. [ABSTRACT FROM AUTHOR]