Naslov
Analysis in Prior Analytics I.45

Autori
Martinjak, Igor

Izvornik
History and philosophy of logic (0144-5340) 43 (2021), 3; 207-231

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
analysis ; Aristotelian deductive system(s) ; reductio ad absurdum ; rule elimination ; syllogism

Sažetak
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. Previous article

Izvorni jezik
Engleski

Znanstvena područja
Filozofija

POVEZANOST RADA