EN
Quantificational accounts of logical consequence account for it in terms of truth-preservation in all cases – be it admissible substitution variants or interpretations with respect to non-logical terms. In this second of the three connected studies devoted to the quantificational tradition the author 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 his discussion of the standard model-theoretic account of consequence to be found in the concluding study.