Cajetan of Thiene on the Logic of Paradox

Studia Neoaristotelica 13 (1):71-95 (2016)
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Abstract

In the first half of the fifteenth century, the Italian logician, natural philosopher, and doctor of medicine Cajetan of Thiene wrote a commentary on William Heytesbury’s Regulae solvendi sophismata, which later became a part of the printed edition of Heytesbury’s treatises. Several late fifteenth century reprints sustained its circulation and further influence. Following Heytesbury, Cajetan listed four alternative treatments of paradoxes, where the first three were formulated in general logico-semantic terms and the last one in terms of obligationes. The present analysis reconstructs the first three positions in terms of the theories of logical operators endorsed as part of the solution to paradoxes. This reconstruction uncovers different underlying views of operators, namely context-sensitive, value-functional, and supervaluationist.Priore dimidia parte saeculi 15 Caietanus de Thiena, logicus, physicus et medicus, commentarium super G. Hentisberi Regulis solvendi sophismata conscripsit, quod posterius una cum Hentisberi tractatibus typis impressum est. Cuius commentarii notitiam auctoritatemque continuam iteratae nonnullae eius editiones in fi ne 15 saeculi factae sustinebant. Caietanus quattuor vias tractandi insolubilia distinxit, quarum tres primae conceptibus generalibus logico-semanticis, quarta doctrina de obligationibus innixae sunt. In analysi hic proposita auctor primas tres vias reconstruit, doctrinas varias de logicis coniunctionibus vel notis reserans, super quibus illae viae solvendi paradoxa fundantur. Quarum prima vim notarum a contextu sermonis dependentem facit. Altera notas pure “compositionaliter” tractat. Tertia iuxta modum doctrinae de “supervaluatione” omnes formales tautologias servat, aliis considerationibus neglectis.

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Miroslav Hanke
Czech Academy of Sciences

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