Article/Publication Details

Quantificational Accounts of Logical Consequence II: In the Footsteps of Bolzano

(Original title: Quantificational Accounts of Logical Consequence II: In the Footsteps of Bolzano)
Organon F, 2014, vol. 21, No 3, pp. 303-326.
Language: English
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Abstract

Quantificational accounts of logical consequence account for it in terms of truth-preservation in all cases – be it admissible substitutional variants or interpretations with respect to non-logical terms. In this second of my three connected studies devoted to the quantificational tradition I set out to reconstruct the seminal contributions of Russell, Carnap, Tarski and Quine and evaluate them vis-à-vis some of the most pressing objections. This study also prepares the ground for my discussion of the standard model-theoretic account of consequence to be found in the concluding study.

Keywords

interpretations, logical consequence, persistence, quantificational accounts, substitutions

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