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Between Imagination and Gambling. The Forms of Validity in Scholastic Logic

Bibliographic Data

ID21451295
AuthorsMiroslav Hanke (0000-0002-3906-3151, The Institute of Philosophy of the Czech Academy of Sciences, Prague Czech Republic, corresponding author)
Year2020
Volume41
Issue4
Pages331-351
Publication date2020-10-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueHistory and Philosophy of Logic (JOURNAL)
Journal identifiersISSN: 0144-5340 • E-ISSN: 1464-5149
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/01445340.2020.1800243
OpenAlexW3088740874
LanguageEN
Citations received2
References cited47

Scholastic logic provided us with a variety of accounts of validity. With some degree of simplification, validity translated into truth-preservation evaluated against a set of worlds (casus) and was tested against a set of counter-models (instantia). Which inferences are valid depends on replacing ‘a set’ by ‘the set’ in such definitions, in other words by specifying the underlying concept of modality. Four levels of modality can be identified in scholastic logic: what can be imagined (casus imaginabilis), what can be the case (casus possibilis), what is the case in situations similar to the actual world (ut nunc), and what is mostly the case (ut in pluribus). The result of these analyses are general accounts of both deductive and inductive validity. The paper aims at various uses of ‘casus’ (or equivalent concepts) pertaining to the analysis of validity between the fourteenth-century Calculatores and the eighteenth-century post-Bernoullian or post-Wolffian use of ‘casus’ (in the sense of an outcome in the mathematical treatment of probability and probabilistic logic). The way such concepts were appearing or disappearing in scholastic texts written between late medieval and early modern period will be outlined

Degree (music) · Epistemology · Linguistics · Modality (human–computer interaction) · Probabilistic logic · Set (abstract data type) · Statistics · Truth value · Variety (cybernetics) · Artificial Intelligence · Classical Philosophy and Thought · Computer Science · Historical and Literary Studies · Historical Philosophy and Science · Mathematics · Philosophy · Psychology

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Unique citing works2
Citations per year0,67
Citation span2023 - 2025 (3)
Citation velocityrecent
Highly citedNo
Citation typesNeutral: 1

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