ch. 1. Ocherki teorii intelligent︠s︡ii -- ch. 2. Ocherki istorii russkoĭ intelligent︠s︡ii.

In this study, complex dynamics of Briggs–Rauscher reaction system is investigated analytically and numerically. First, the Briggs–Rauscher reaction system is reduced into a new nonlinear parametric oscillator. The Melnikov method is used to derive the condition of the appearance of horseshoe chaos in the cases ω = Ω and ω ≠ Ω. The performed numerical simulations confirm the obtained analytical predictions. Second, the prediction of coexisting attractors is investigated by solving numerically the new nonlinear parametric ordinary differential equation via the (...) fourth-order Runge–Kutta algorithm. As results, it is found that the new nonlinear chemical system displays various coexisting behaviors of symmetric and asymmetric attractors. In addition, the system presents a rich variety of bifurcations phenomena such as symmetry breaking, symmetry restoring, period doubling, reverse period doubling, period-m bubbles, reverse period-m bubbles, intermittency, and antimonotonicity. On the contrary, emerging chaotic band attractors and period-1, period-3, period-9, and period-m bubbles routes to chaos occur in this system. (shrink)

So far his weapons of defence are taken from a common armoury; but in the next verses he develops the argumentum ad hominem which was foreshadowed in ‘eques’ and ‘intra fortunam qui cupis esse tuam.’ Such promptings, says he, come strangely from Maecenas, whose own discreetness and self-repression will be famous in history, and whom he is resolved, so far as in him lies, to imitate.

Both the author and the date of this five-volume poem, the first Western document to link the houses of the zodiac with the course of human affairs, are uncertain. The author's name may be Marcus Manilius, or Manlius, or Mallius, and the latest datable event mentioned in the books themselves is the disastrous defeat of Varus' Roman legions by the German tribes in 9 CE. The writing shows knowledge of the work of Lucretius, but the work is not referred to (...) by any subsequent writer, suggesting that it was never widely disseminated. A manuscript was rediscovered by Poggio Bracciolini in 1416 or 1417, and a version was published by the astronomer Regiomontanus in 1473. Editions were later produced by Scaliger and Bentley, but this immensely erudite edition of 1903–30 by the scholar and poet A. E. Housman is regarded as authoritative. (shrink)

In this paper I hope to show that Geach misunderstands the nature of Plato's argument in the Euthyphro and more importantly the reasoning behind the dialectical strategy adopted by Socrates. Furthermore I shall argue that Geach's reading of the Euthyphro engenders serious difficulties, that stand in the way of understanding the manner in which Plato construes the problem of determining the nature of, and relationship between universal and particulars, which is of great significance because it is precisely this problem, in (...) relation to piety, that is central to the Euthyphro. In the appendix I shall sketch the outline of an argument in order to justify the assumption that the theory of Forms is present in the Euthyphro. (shrink)

Both the author and the date of this five-volume poem, the first Western document to link the houses of the zodiac with the course of human affairs, are uncertain. The author's name may be Marcus Manilius, or Manlius, or Mallius, and the latest datable event mentioned in the books themselves is the disastrous defeat of Varus' Roman legions by the German tribes in 9 CE. The writing shows knowledge of the work of Lucretius, but the work is not referred to (...) by any subsequent writer, suggesting that it was never widely disseminated. A manuscript was rediscovered by Poggio Bracciolini in 1416 or 1417, and editions were produced by Scaliger and Bentley, but this immensely erudite edition of 1903–1930 by the scholar and poet A. E. Housman is regarded as authoritative. Volume 4 describes the influence of the zodiacal signs on the people born under them. (shrink)

Both the author and the date of this five-volume poem, the first Western document to link the houses of the zodiac with the course of human affairs, are uncertain. The author's name may be Marcus Manilius, or Manlius, or Mallius, and the latest datable event mentioned in the books themselves is the disastrous defeat of Varus' Roman legions by the German tribes in 9 CE. The writing shows knowledge of the work of Lucretius, but the work is not referred to (...) by any subsequent writer, suggesting that it was never widely disseminated. A manuscript was rediscovered by Poggio Bracciolini in 1416 or 1417, and editions were produced by Scaliger and Bentley, but this immensely erudite edition of 1903–1930 by the scholar and poet A. E. Housman is regarded as authoritative. Volume 4 describes the influence of the zodiacal signs on the people born under them. (shrink)

Nec, si rationem siderum ignoret, poetas iniellegat said Quintilian of Γ ραμματική; and in the history of scholarship during the last two centuries there is much to confirm his sentence. The elements of astronomy were once part of a scholar's ordinary equipment, and astronomical allusions in the poets, if expounded at all and not left by the editor to the knowledge and intelligence of the reader, were usually expounded aright. The first three lines of Lucan's seventh book are briefly but (...) correctly explained by the scholiast, and Oudendorp so late as 1728 was content to quote his explanation: then Cortius and Burmann and Bentley came forward to misinterpret them, and they have been misinterpreted ever since, because editors of the classics no longer know which way the sun moves. (shrink)