Strenge Beweise und das Verbot der metábasis eis állo génos

History and Philosophy of Logic 33 (1):1 - 31 (2011)
Abstract
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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References found in this work BETA
Bernard Bolzano (1969). Bernard Bolzano-Gesamtausgabe. Stuttgart-Bad Cannstatt, Frommann Holzboog.
Ettore Casari (1987). Matematica E Verità. Rivista di Filosofia 78 (3):329-350.
Stefania Centrone (2011). Begründungen bei Bolzano und beim frühen Husserl. Zeitschrift für Philosophische Forschung 65 (1):5-27.
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