"First published by Oxford University Press, 1916."--Title page verso.

The systematic study of supermatrices and super linear algebra has been carried out in 2008. These new algebraic structures find their applications in fuzzy models, Leontief economic models and data-storage in computers.

"Bibliographical notes": pages [243]-244.

The late Jacob Klein’s important book is, remarkably, a lucid presentation of esoteric argument. Dealing with the famed Platonic triad, Theaetetus, Sophist, and Statesman, Klein settles the dispute about the missing dialogue, "The Philosopher," by first denying that it is missing and second showing that it is unnecessary. He argues, in short, that the triad is a dyad. That argument is reinforced by the distinction Klein strongly implies between the Socratic Theaetetus and the Eleatic Sophist and Statesman. "We can now (...) understand why the conversations of the ‘trilogy’ occur in two, not three, days and why the Sophist, the Statesman, and the Philosopher are dealt with in two, not three, dialogues". (shrink)

It is often said to-day that mathematics is nothing but an extension or development of logic; indeed, the identity of logic and pure mathematics is alleged so confidently by persons whose mathematical attainments entitle them to consideration when they talk about the subject-matter of mathematics, as to be in danger of being ranked with the truths that an educated man should accept on the authority of the specialist. Yet a little reflection might at least make one hesitate. For whatever else (...) may be said about logic, it is generally allowed to study thinking. Some would say merely that it studies inference; but inference is thinking. Now the mathematician thinks and infers, but he does not study the activity of thinking and inferring; and a study of that activity would never make the discoveries credited to the mathematicians. (shrink)

(1983). The illustrations of birds in the Vatican manuscript of De arte venandi cum avibus of Frederick II. Annals of Science: Vol. 40, No. 6, pp. 597-634.

Principled discussions of civil rights became inherently less likely as a direct result of the observation by Earl Warren, in Brown v. Board of Education, that, respecting freedmen, “Education of Negroes was almost non-existent, and practically all of the race were illiterate,” and in proportion as that observation increasingly became the foundation of common opinion on the subject. Warren's observation was not true in any meaningful or non-trivial sense. Nevertheless, it served to perpetuate the myth of a backward people needing (...) help to catch up instead of the truth of a people being held back. That is the perspective – the disadvantaged group perspective – that ultimately infected all discussion of civil rights, even after the designation of so-called “disadvantaged groups” had been extended beyond American blacks. To define civil rights, we may well begin with what all mankind would likely recognize. Thus the dictionary definition of “civil rights” stands: “the rights that belong to all individuals in a nation or community touching property, marriage, and the like.” In that definition the term “rights” may be further expanded to mean “legitimate claims,” following the definition of right as law – as “a claim or title or interest in anything whatever that is enforceable by law.” This definition applies with minimal distinction of regimes intruding and, therefore, without the host of recent complications in the United States that create the impression that civil rights have something to do with pluralism. Previously, the generic definition was thought to exhaust the meaning of the term in the United States. (shrink)

The concept of supermatrix for social scientists was first introduced by Paul Horst. The main purpose of his book was to introduce this concept to social scientists, students, teachers and research workers who lacked mathematical training. This book introduces the concept of fuzzy super matrices and operations on them. The author has provided only those operations on fuzzy supermatrices that are essential for developing super fuzzy multi expert models. This book will be highly useful to social scientists who wish to (...) work with multi expert models. (shrink)

Intellectual eminence apart, what did Kant, Clausewitz, Marx and Engels, and Tolstoy have in common? Professor Gallic argues that they made contributions to 'international theory' - to the understanding of the character and causes of war and of the possibility of peace between nations - which were of unrivalled originality in their own times and remain of undiminished importance in ours. But these contributions have been either ignored or much misunderstood ; chiefly because, as with all intellectual efforts in unexplored (...) fields, they were often imperfectly expressed, and were also overshadowed by their author's more striking achievements. Professor Gallic has sorted out, compared and contrasted, criticised and re-phrased the teachings of his chosen authors on peace and war. (shrink)

W. B. Gallie; IV—The Idea of Practice, Proceedings of the Aristotelian Society, Volume 68, Issue 1, 1 June 1968, Pages 63–86, https://doi.org/10.1093/aristoteli.

W. B. Gallie; I *—The Presidential Address: Rationality and the Use of Force, Proceedings of the Aristotelian Society, Volume 71, Issue 1, 1 June 1971, Pages 1–.

W. B. Gallie; IV—The Idea of Practice, Proceedings of the Aristotelian Society, Volume 68, Issue 1, 1 June 1968, Pages 63–86, https://doi.org/10.1093/aristoteli.

W. B. Gallie; I *—The Presidential Address: Rationality and the Use of Force, Proceedings of the Aristotelian Society, Volume 71, Issue 1, 1 June 1971, Pages 1–.

On Death, by the Epicurean philosopher Philodemus of Gadara, is among the most significant philosophical treatments of the theme surviving from the Greco-Roman world. The author was an influential figure in first-century B.C.E. Roman society, associated with poets such as Virgil and politicians such as the father-in-law of Julius Caesar. The surviving copies of his treatises were carbonized following the eruption of Vesuvius in 79 C.E. This edition contains the Greek text, newly reconstituted with the help of the infrared imaging (...) technology that has revolutionized the study of Philodemus’s works in the twenty-first century, and completely translated into English for the first time. An extensive introduction provides background on Philodemus and his writings, accompanying notes enrich the text, and forty-four pages of photographs illustrate the papyrus manuscript from which the translation is drawn. (shrink)

Everyone knows the statement of Servius that Virgil was compelled by Augustus to alter the second half of the Fourth Georgic after the fall of Gallus, and that he substituted the story of Aristaeus for the laudes Galli. This statement, often doubted by older generations, has had such a remarkable success in recent years that anyone who ventures to impugn it must feel that he is pleading with a halter round his neck before a one-sided jury. It is notable, however, (...) that these jurors, though one-sided, are by no means united, save in their determination to uphold the credit of Servius. One group will assure us that the episode of Aristaeus shows obvious signs not only of haste but of immaturity, and they draw a pathetic picture of the grief-stricken Virgil, ordered to bring out a second edition minus the praises of his friend Gallus, and half-heartedly throwing together some bits of juvenile stuff which he happened to have handy. Others assure us that the tale of Aristaeus shows us a more mature Virgil, nearer to the Virgil of the Aeneid. But the Servians really cannot have it both ways. They must make up their minds in the one direction or in the other if they are to be taken seriously. They make it doubly difficult for us to take them seriously when they try to tell us what Servius meant—but of that more anon. The present paper is an attempt by a converted Servian to examine frankly the arguments which have been advanced in support of Servius. Most of these may be found in Skutsch, Aus Vergils Frühzeit, pp. 140–147. One is very reluctant to use disparaging words about an eminent scholar who has served the cause of learning in so many ways; but it can scarcely be denied that the work just mentioned, in spite of its ingenuity and enthusiasm, shows a lamentable lack of three great essentials—a judicial temper, accurate statement of facts, and cogent reasoning. There is also at times a regrettable vagueness of expression, suggesting that the author is concealing inward doubts or shrinking from thought. All these deficiencies are to some extent present in the section with which this paper is concerned. (shrink)