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Mark Siebel: Der Begriff der Ableitbarkeit bei Bolzano

Mark Siebel: Der Begriff der Ableitbarkeit bei Bolzano Mark Siebel: Der Begriff der Ableitbarkeit bei Bolzano Sankt Augustin: Academia Verlag 1997 (Beiträge zur Bolzano-Forschung Bd. 7) It is generally agreed that Bolzano was the first to give a viable definition of logical consequence. But he deemed this concept “too obvious and important … to have escaped entirely the attention of logicians.” Yet it seemed to him that “the nature of this relation has not always been correctly grasped, or, if comprehended, discussed with insufficient generality, or without a precise definition …” (WL (Wissenschaftslehre ) § 155, II p. 128). Bolzano’s comments on his predecessor’s theories are generally (except for Hegel) most kind. He amends them and attributes insight and understanding where less generous observers may see only confusion. No doubt, earlier Bolzano scholars – I am thinking of H. Scholz and Y. Bar- Hillel – thought of themselves as similarly gracious when they took Bolzano to have anticipated a fair bit of classical logic – even if eight of 22 theorems in Bar-Hillel’s reconstruction are not provable in Bolzano, while three of Bar- Hillel’s are anti-theorems in WL (Bar-Hillel, Bolzano’s Propositional Logic;cf. also Scholz’s review of Bar-Hillel and his Die Wissenschaftslehre Bolzano’s ). When they wrote, the http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png History of Philosophy and Logical Analysis Brill

Mark Siebel: Der Begriff der Ableitbarkeit bei Bolzano

History of Philosophy and Logical Analysis , Volume 2 (1): 6 – Apr 5, 1999

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Publisher
Brill
Copyright
Copyright © Koninklijke Brill NV, Leiden, The Netherlands
ISSN
2666-4283
eISSN
2666-4275
DOI
10.30965/26664275-00201020
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Abstract

Mark Siebel: Der Begriff der Ableitbarkeit bei Bolzano Sankt Augustin: Academia Verlag 1997 (Beiträge zur Bolzano-Forschung Bd. 7) It is generally agreed that Bolzano was the first to give a viable definition of logical consequence. But he deemed this concept “too obvious and important … to have escaped entirely the attention of logicians.” Yet it seemed to him that “the nature of this relation has not always been correctly grasped, or, if comprehended, discussed with insufficient generality, or without a precise definition …” (WL (Wissenschaftslehre ) § 155, II p. 128). Bolzano’s comments on his predecessor’s theories are generally (except for Hegel) most kind. He amends them and attributes insight and understanding where less generous observers may see only confusion. No doubt, earlier Bolzano scholars – I am thinking of H. Scholz and Y. Bar- Hillel – thought of themselves as similarly gracious when they took Bolzano to have anticipated a fair bit of classical logic – even if eight of 22 theorems in Bar-Hillel’s reconstruction are not provable in Bolzano, while three of Bar- Hillel’s are anti-theorems in WL (Bar-Hillel, Bolzano’s Propositional Logic;cf. also Scholz’s review of Bar-Hillel and his Die Wissenschaftslehre Bolzano’s ). When they wrote, the

Journal

History of Philosophy and Logical AnalysisBrill

Published: Apr 5, 1999

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