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Bolzano's Concept of Grounding (Abfolge) against the Background of Normal Proofs

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2013

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http://nbn-resolving.de/urn:nbn:de:bsz:352-266294
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https://doi.org/10.1017/S1755020313000154
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The Review of Symbolic Logic. 2013, 6(03), pp. 424-459. ISSN 1755-0203. eISSN 1755-0211. Available under: doi: 10.1017/S1755020313000154

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In this paper, I provide a thorough discussion and reconstruction of Bernard Bolzano’s theory of grounding and a detailed investigation into the parallels between his concept of grounding and current notions of normal proofs. Grounding (Abfolge) is an objective ground-consequence relation among true propositions that is explanatory in nature. The grounding relation plays a crucial role in Bolzano’s proof-theory, and it is essential for his views on the ideal buildup of scientific theories. Occasionally, similarities have been pointed out between Bolzano’s ideas on grounding and cut-free proofs in Gentzen’s sequent calculus. My thesis is, however, that they bear an even stronger resemblance to the normal natural deduction proofs employed in proof-theoretic semantics in the tradition of Dummett and Prawitz.

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100 Philosophie

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ISO 690RUMBERG, Antje, 2013. Bolzano's Concept of Grounding (Abfolge) against the Background of Normal Proofs. In: The Review of Symbolic Logic. 2013, 6(03), pp. 424-459. ISSN 1755-0203. eISSN 1755-0211. Available under: doi: 10.1017/S1755020313000154
BibTex
@article{Rumberg2013Bolza-26629,
  year={2013},
  doi={10.1017/S1755020313000154},
  title={Bolzano's Concept of Grounding (Abfolge) against the Background of Normal Proofs},
  number={03},
  volume={6},
  issn={1755-0203},
  journal={The Review of Symbolic Logic},
  pages={424--459},
  author={Rumberg, Antje}
}
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