Taken together with my previous articles [77], [80] devoted to the history of finite random sums and to Laplace's theory of errors, this paper sheds sufficient light on the whole work of Laplace in probability. Laplace's theory of probability is subdivided into theory of probability proper, limit theorems and mathematical statistics (not yet distinguished as a separate entity). I maintain that in its very design Laplace's theory of probability is a discipline pertaining to natural science rather than to mathematics. I (...) maintain also the idea that the so-called Laplacian determinism was no hindrance to applications of his theory of probability to natural science and that one of his utterances in this connection could have well been made by Maxwell's contemporaries. Two possible reasons why the theory of probability stagnated after Laplace's work are singled out: the absence of new fields of application and, also, the insufficient level of mathematical abstraction used by Laplace. For all his achievements, I reach the general conclusion that he did not originate the theory of probability as it is now known. (shrink)

We analyze the rather unusual properties of some exact solutions in 2D dilaton gravity for which infinite quantum stresses on the Killing horizon can be compatible with regularity of the geometry. In particular, the Boulware state can support a regular horizon. We show that such solutions are contained in some well-known exactly solvable models (for example, RST). Formally, they appear to account for an additional coefficient B in the solutions (for the same Lagrangian which contains also “traditional” solutions) that gives (...) rise to the deviation of temperature T from its Hawking value T H . The Lorentzian geometry, which is a self-consistent solution of the semiclassical field equations, in such models, is smooth even at B≠0 and there is no need to put B=0 (T=T H ) to smooth it out. We show how the presence of B≠0 affects the structure of spacetime. In contrast to “usual” black holes, full fledged thermodynamic interpretation, including definite value of entropy, can be ascribed (for a rather wide class of models) to extremal horizons, not to nonextreme ones. We find also new exact solutions for “usual” black holes (with T=T H ). The properties under discussion arise in the weak-coupling regime of the effective constant of dilaton-gravity interaction. Extension of features, traced in 2D models, to 4D dilaton gravity leads, for some special models, to exceptional nonextreme black holes having no own thermal properties. (shrink)

The results of education in the conditions of collective creative interaction are discussed. The results of research of the self-image, an image of the senior companion, images of the good and the bad man in consciousness of children and adult, present and former members of the children’s organization working by a technique of collective creative education are presented.

It appears to be a generally accepted opinion among modern historians that the expedition which the Athenians led up-Nile in 459 B.C. in support of the Egyptian insurrection against Persia was an exceptionally large one, numbering no less than 200 sail. Modern authors also seem to imply, though they may not say so explicitly, that the whole of this armada was involved in the catastrophe which overtook the rebels in 454 B.C.

‘Ivravit in mea uerba tota Italia sponte sua et me belli quo uici ad Actium ducem depoposcit.’ In these words the Emperor Augustus clearly meant to suggest that the war in which he got rid of Mark Antony was none of his making, but was imposed upon him by the free and self-determined action of the Italian nation. Modern historians have unanimously refused to regard Augustus as a passive instrument in the hands of the Roman people at large; yet they (...) have generally accepted his account of the oath-taking of 32 B.C. as the outcome of a spontaneous burst of enthusiasm in his behalf, which they interpret as the reflex result of the nation's resentment against Antony's un-Roman and treasonable behaviour. (shrink)

It has usually been held, on the strength of several passages in Thucydides, that the Athenian army which was besieging Syracuse in 414–413 b.c. contained a contingent of Etruscans desirous of retaliating upon the Syracusans for losses inflicted upon them in past days—e.g., in 474 at Cumae and in 453 at Elba.

This work is designed to answer both sceptical attacks on knowledge and epistemological relativism implied in the sceptic’s position. Rather than following the traditional path of developing a foundations picture along either rationalist or empiricist lines, Harrison turns to the resources of pure reason alone to repel the sceptic’s attacks and to find that about which we can be certain. Since the sceptic’s arguments "have been produced by reason, it is important if reason is going to be considered trustworthy that (...) they can also be answered by reason." Harrison’s thesis is that by reason alone "standards that judgments have to match up to if they are going to be thought of as judgments about the world" can be found. Such standards can be produced by an "inquiry into the essential conditions of our world being a comprehensible world.". (shrink)

While Hirst provides valuable insights into the thought of Bernard and of Durkheim, especially The Rules of Sociological Method, he does not attempt a full explanation of either man's thought. His goal is broader than that. Hirst's purpose in this book is "... to question and to challenge the dominant conceptions of epistemology in sociology.".

In this work Pollock attempts to recast the epistemological enterprise. Traditional epistemology has been centered on the search for truth conditions. It has been assumed that unless these are found the sceptic’s attack on knowledge claims cannot be conclusively answered. Pollock contends that traditional epistemologists have been barking up the wrong tree. The problem of epistemology is not to prove the trustworthiness of the justification condition. The proper task of epistemologists is to reveal the logical connection between the source of (...) our knowledge and the knowledge the source provides. This is to be done through an analysis of the meaning of statements, and the meaning of a statement is determined by the "justification conditions of it and its denial." Epistemological issues, such as perception, other minds, historical knowledge, a priori knowledge, amount to "nothing more than describing the justification conditions for statements in the different areas of knowledge." But, then what is meant by "justification conditions"? (shrink)