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Quantification in ordinary language

In Richmond H. Thomason (ed.), Formal Philosophy. Yale University Press. pp. 247--270 (1974)

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  1. Adequate formalization.Michael Baumgartner & Timm Lampert - 2008 - Synthese 164 (1):93-115.
    This article identifies problems with regard to providing criteria that regulate the matching of logical formulae and natural language. We then take on to solve these problems by defining a necessary and sufficient criterion of adequate formalization. On the basis of this criterion we argue that logic should not be seen as an ars iudicandi capable of evaluating the validity or invalidity of informal arguments, but as an ars explicandi that renders transparent the formal structure of informal reasoning.
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  • The Problem of Validity Proofs.Michael Baumgartner & Timm Lampert - 2010 - Grazer Philosophische Studien 80 (1):79-109.
    In philosophical contexts, logical formalisms are often resorted to as a means to render the validity and invalidity of informal arguments formally transparent. Since Oliver and Massey , however, it has been recognized in the literature that identifying valid arguments is easier than identifying invalid ones. Still, any viable theory of adequate logical formalization should at least reliably identify valid arguments. This paper argues that accounts of logical formalization as developed by Blau and Brun do not meet that benchmark. The (...)
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