Estimating the length of the Greek stadion remains controversial. This paper highlights the pitfalls of a purely metrological approach to this problem and proposes a formal differentiation between metrologically defined ancient measuring units and other measures used to estimate long distances. The common-sense approach to the problem is strengthened by some cross-over documentary evidence for usage of the so-called itinerary stadion in antiquity. We discuss the possibility of using statistical analysis methods to estimate the length of the stadion by comparing (...) ancient routes with the actual distances. Simple numerical examples explain the limits of this approach, caused by the low number of data and by their mixed character. A special case of distances which can be calculated with the help of coordinates given in Ptolemy’s Geography is discussed, and has been shown to lead unavoidably to ambiguous solutions. (shrink)

Summary Evidence for the transmission of Babylonian astronomy into the Greco-Roman world is well attested in the form of observations, numerical parameters and astronomical tables. This paper investigates the reception of Babylonian astronomy in the Greco-Roman world and in particular the transmission, transformation and exploitation of the layout of texts and other visual information. Two examples illustrate this process: the use of Babylonian lunar eclipse records by Greek astronomers and the adaptation of Babylonian methods of eclipse prediction in the Antikythera (...) Mechanism. (shrink)

ABSTRACTThere has been much debate surrounding the way in which Ptolemy handled the observations that are behind his planetary models. This article aims at presenting an interesting case of manipulation of observational data within the epistemological frame of what we may call Ptolemy’s philosophy of knowledge. It deals with an interesting case from the Almagest, that of the determination of the longitudes of the apogee and perigee of Venus’s deferent, and shows that the selections and adjustments Ptolemy carried out in (...) order to obtain the needed results are nothing but an analogous application of the epistemological doctrines expressed in his On the Kriterion and in his Harmonics. (shrink)

► I present an intellectual history of Ptolemy’s accounts of the human soul. ► I assess the accounts for consistency. ► I argue that disparities in the psychological accounts are significant. ► I argue that the disparities demonstrate the maturation of his scientific method.

The gravitational influence of Jupiter on Saturn produces, among other things, non-negligible changes in the eccentricity of Saturn that affect the magnitude of error of Ptolemaic astronomy. The value that Ptolemy obtained for the eccentricity of Saturn is a good approximation of the real eccentricity—including the perturbation of Jupiter—that Saturn had during the time of Ptolemy's planetary observations or a bit earlier. Therefore, it seems more probable that the observations used for obtaining the eccentricity of Saturn were done near Ptolemy’s (...) time, and rather unlikely earlier than the first century AD. Even if this is not quite a demonstration that Ptolemy used observations of his own, my argument increases its probability and practically discards the idea that Ptolemy borrowed values or observations from astronomers further back than the first century AD, such as Hipparchus or the Babylonians. (shrink)

The Ptolemy-Copernicus transition is analyzed in the interdisciplinary context. It is argued that in Ptolemaic programme mathematical exactness diverged from the principles of Aristotelian physics well-grounded empirically. The Copernican revolution can be considered as a realization of the dualism between mathematical astronomy and Aristotelian qualitative physics and the corresponding gradual efforts to eliminate it. The works of Copernicus, Galileo, Kepler and Newton were all the stages of the mathematics descendance from skies to earth and reciprocal extrapolation of earth physics on (...) divine phenomena. -/- Key words: Ptolemy, Copernicus, scientific revolution -/- . (shrink)