Prolegomena 2 (1):61-71 (2003)

Abstract
Boškovićevo razlikovanje dviju vrsta brzina – brzine u prvom ozbiljenju , odnosno, potencijalne brzine i brzine u drugom ozbiljenju , odnosno, aktualne brzine – promišlja se u odnosu na koncept trenutne brzine kako je definira calculus differentialis. Nasuprot naizglednoj nedosljednosti Boškovićeve dualnosti brzina i koncepta trenutne brzine, tragom kritičkoga promišljanja logičkih i metodoloških temelja calculusa u članku se pokazuje kako je dualnost brzina dosljedna tumačenjima trenutne brzine koje daju Oresme, Euler i Maclaurin, kao i definiciji trenutne brzine temeljem strogog cauchyjevskog utemeljenja calculusa. Boškovićeva dualnost brzina također je pokazana dosljednom aristotelijansko-skolastičkom nauku o možnosti i zbiljnosti, posebno u onoj njegovoj domeni koja se odnosi na narav neprekinutoga gibanja.Bošković’s distinction between two kinds of velocities – velocity in the first act , or potential velocity , and velocity in the second act , or actual velocity – is considered in respect to the concept of instantaneous velocity as defined by calculus differentialis. Contrary to the seeming inconsistency of Bošković’s duality of velocities and the concept of instantaneous velocity, due to a critical examination of logical and methodological foundations of the calculus, the article shows that the duality of velocities is consistent with the interpretations of instantaneous velocity given by Oresme, Euler and Maclaurin, as with the definition of instantaneous velocity according to the rigorous Cauchyan founding of the calculus. Bošković’s duality of velocities is also shown to be consistent with Aristotelian-scholastic doctrine of potentiality and actuality, especially in its domain related to the nature of continuous motion
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