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Strenge Beweise und das Verbot der metábasis eis állo génos

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In his booklet ‘Contributions to a better founded presentation of mathematics’ of 1810 Bernard Bolzano made his first serious attempt to explain the notion of a rigorous proof. Although the system of logic he employed at that stage is in various respects far below the level of the achievements in his later Wissenschaftslehre, there is a striking continuity between his earlier and later work as regards the methodological constraints on rigorous proofs. This paper tries to give a perspicuous and critical account of the fragmentary logic of Beyträge, and it shows that there is a tension between that logic and Bolzano's methodological ban on ‘kind crossing’.
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Document Type: Research Article

Affiliations: Philosophisches Seminar der Universität Hamburg, Von-Melle-Park 620146Hamburg, Email: [email protected]

Publication date: February 1, 2012

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