Article/Publication Details

Quantificational Accounts of Logical Consequence I: From Aristotle to Bolzano

(Original title: Quantificational Accounts of Logical Consequence I: From Aristotle to Bolzano)
Organon F, 2014, vol. 21, No 1, pp. 22-44.
Language: English
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Abstract

So-called quantificational accounts explicate logical consequence or validity as truth-preservation in all cases, cases being construed as admissible substitutional variants or as admissible interpretations with respect to non-logical terms. In the present study, which is the first from three successive studies devoted to quantification accounts, I focus on the beginning of systematic theorizing of consequence in Aristotle‘s work, which contains the rudiments of both modal and formal accounts of consequence. I argue, inter alia, that there is no evidence for the claim that Aristotle propounded a quantificational account, and that for a full-fledged quantificational approach in a modern style we need to turn to Bolzano’s substitutional approach, whose motivation, structure and problems are explained in the second part of this study.

Keywords

Aristotle, Bolzano, form, logical consequence, modality, validity

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