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    Bolzano's and Gentzen's criteria are structurally paralle... — Carmelics
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    Supports→Bolzano anticipated Gentzen's Hauptsatz in a certain sense

    Bolzano's and Gentzen's criteria are structurally parallel: both require that inferential steps not introduce extraneous conceptual content

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    Bolzano anticipated Gentzen's Hauptsatz in a certain senseBolzano's semantic notion of entailment requires that from the smallest number o...Gentzen's characterization of normal proofs holds that they do not make a detour...

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    The relation of entailment between (sets of) conceptual truths has the characteristic feature that, according to it, from the smallest number of premisses the largest number of conclusions will follow none of which has simple components which are not also contained in its premisses (WL II, 386). Ideas such as these sound akin to Gerhard Gentzen’s characterization of normal proofs: “They do not make a detour. They do not introduce concepts which are not contained in its final result and must ther

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