Contemporary syllogistics: Comparative and quantitative syllogisms

In G. Kreuzbauer & G. J. W. Dorn (eds.), Argumentation in Theorie Und Praxis: Philosophie Und Didaktik des Argumentierens. Lit. pp. 57--71 (2006)

Authors
Niki Pfeifer
Universität Regensburg
Abstract
Traditionally, syllogisms are arguments with two premises and one conclusion which are constructed by propositions of the form “All… are…” and “At least one… is…” and their respective negated versions. Unfortunately, the practical use of traditional syllogisms is quite restricted. On the one hand, the “All…” propositions are too strict, since a single counterexample suffices for falsification. On the other hand, the “At least one …” propositions are too weak, since a single example suffices for verification. The present contribution studies algebraic interpretations of syllogisms with comparative quantifiers (e.g., “Most… are…”) and quantitative quantifiers (e.g., “n/m… are…”, “all, except n… are…”). This modern version of syllogistics is intended to be a more adequate framework for argumentation theory than traditional syllogistics.
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Mental Probability Logic.Niki Pfeifer & Gernot D. Kleiter - 2009 - Behavioral and Brain Sciences 32 (1):98-99.
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AWide-Reflective-Equilibrium Conception of Reconstructive Formalization.Winfried Löffler - 2014 - History of Philosophy & Logical Analysis 17 (1):130-151.

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