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  1. Das Problem der apagogischen Beweise in Bolzanos Beyträgen_ und seiner _Wissenschaftslehre.Stefania Centrone - 2012 - History and Philosophy of Logic 33 (2):127-157.
    This paper analyzes and evaluates Bolzano's remarks on the apagogic method of proof with reference to his juvenile booklet ‘Contributions to a better founded presentation of mathematics’ of 1810 and to his ‘Theory of science’ (1837). I shall try to defend the following contentions: (1) Bolzanos’ vain attempt to transform all indirect proofs into direct proofs becomes comprehensible as soon as one recognizes the following facts: (1.1) his attitude towards indirect proofs with an affirmative conclusion differs from his stance to (...)
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  • Strenge Beweise und das Verbot der metábasis eis állo génos : Eine Untersuchung zu Bernard Bolzanos Beyträgen zu einer begründeteren Darstellung der Mathematik.Stefania Centrone - 2012 - History and Philosophy of Logic 33 (1):1 - 31.
    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 (...)
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  • Strenge Beweise und das Verbot der metábasis eis állo génos : Eine Untersuchung zu Bernard Bolzanos Beyträgen zu einer begründeteren Darstellung der Mathematik.Stefania Centrone - 2012 - History and Philosophy of Logic 33 (1):1-31.
    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 (...)
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  • Das Problem der apagogischen Beweise in Bolzanos Beyträgen und seiner Wissenschaftslehre.Stefania Centrone - 2012 - History and Philosophy of Logic 33 (2):127 - 157.
    This paper analyzes and evaluates Bolzano's remarks on the apagogic method of proof with reference to his juvenile booklet "Contributions to a better founded presentation of mathematics" of 1810 and to his ?Theory of science? (1837). I shall try to defend the following contentions: (1) Bolzanos vain attempt to transform all indirect proofs into direct proofs becomes comprehensible as soon as one recognizes the following facts: (1.1) his attitude towards indirect proofs with an affirmative conclusion differs from his stance to (...)
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