Jesuit Probabilistic Logic between Scholastic and Academic Philosophy

History and Philosophy of Logic 40 (4):355-373 (2019)
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Abstract

There is a well-documented paradigm-shift in eighteenth century Jesuit philosophy and science, at the very least in Central Europe: traditional scholastic version(s) of Aristotelianism were replaced by early modern rationalism (Wolff's systematisation of Leibnizian philosophy) and early modern science and mathematics. In the field of probability, this meant that the traditional Jesuit engagement with probability, uncertainty, and truthlikeness (in particular, as applied to moral theology) could translate into mathematical language, and can be analysed against the background of the accounts of probability, pre-mathematical Jesuit logic, Wolff's conceptual analysis, and Bernoullian mathematisation. The works of two Jesuit philosophers, Berthold Hauser and Sigismund Storchenau, can be related to this context. The core of their logic of (epistemic) probability is the account of negation (or ‘contradiction’) and implication (or ‘argument’), in particular, the algorithms for computing the reliability of one piece of evidence when compared to the respective counter-evidence and for computing the probability of a conclusion given the probability of its premises.

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Miroslav Hanke
Czech Academy of Sciences

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References found in this work

The logic of inexact concepts.J. A. Goguen - 1969 - Synthese 19 (3-4):325-373.
Modal Logic.James W. Garson - 2009 - Stanford Encyclopedia of Philosophy.
[Omnibus Review].Theodore Hailperin - 1967 - Journal of Symbolic Logic 32 (2):252-252.

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