Analysis in Prior Analytics I.45

Bibliographic Data

ID21451243
AuthorsIgor Martinjak (0000-0002-2726-4036, University of Zagreb, corresponding author)
Year2022
Volume43
Issue3
Pages207-231
Publication date2022-07-03
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueHistory and Philosophy of Logic (JOURNAL)
Journal identifiersISSN: 0144-5340 • E-ISSN: 1464-5149
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/01445340.2021.1927426
OpenAlexW3166418486
LanguageEN
Citations received1
References cited32

I reconstruct Aristotle’s analytical procedure in Prior Analytics I.45 and its metalogical implications. Aristotle’s analysis unfolds three groups of syllogisms: symmetrically analysable, asymmetrically analysable, and non-analysable syllogisms. From the first and the third group could be extracted 27 combinations of the two mutually non-derivable deductive rules. Aristotle’s reduced deductive system in APr. I.7 with the two moods in the first figure (traditionally called Barbara and Celarent) follows this pattern. I demonstrate that the deductive system with Barbara and Celarent is just one of 27 possible complete deductive systems with the two mutually non-derivable syllogistic rules. On top of that, given the fact that there are two combinations of mutually non-derivable conversion rules, I conclude that Prior Analytics hides in itself 54 complete deductive systems with a minimal number of mutually non-derivable rules. Finally, it is commented what might be the role of analysis; to what extent Aristotle could be aware of possibilities presented here; why he still prefers only one deductive system to many others with the same deductive power

Analytics · Calculus (dental) · Data mining · Deductive method · Deductive reasoning · Epistemology · Sociology · Syllogism · Classical Antiquity Studies · Classical Philosophy and Thought · Computer Science · Historical, Religious, and Philosophical Studies · Mathematics · Medicine · Philosophy

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