The Swiss psychologist Jean Piaget contends that children below the age of 12 see no necessity for the logical law of non-contradiction. I argue this view is problematic. First of all, Piaget's dialogues with children which are considered supportive of this position are not clearly so. Secondly, Piaget underestimates the necessary nature of following the logical law of non-contradiction in everyday discourse. The mere possibility of saying something significant and informative at all presupposes that the law of non-contradiction is enforced.

W. I. Matson; VIII—Against Induction and Empiricism, Proceedings of the Aristotelian Society, Volume 62, Issue 1, 1 June 1962, Pages 143–158, https://doi.org/10.

Smarandache in 2019 has generalized the algebraic structures to NeutroAlgebraic structures and AntiAlgebraic structures. In this paper, authors, for the first time, define the NeutroAlgebra of neutrosophic triplets group under usual+ and x, built using {Zn, x}, n a composite number, 5 < n < oo, which are not partial algebras. As idempotents in Zn alone are neutrals that contribute to neutrosophic triplets groups, we analyze them and build NeutroAlgebra of idempotents under usual + and x, which are not partial (...) algebras. We prove in this paper the existence theorem for NeutroAlgebra of neutrosophic triplet groups. This proves the neutrals assocaited with neutrosophic triplet groups in { Zn, X} under product is a NeutroAlgebra of triplets. We also prove the non-existence theorem of NeutroAlgebra for neutrosophic triplets in case of Zn when n = 2p, 3p and 4p (for some primes p). Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained. (shrink)

Received interpretation. As far as I have been able to determine, all scholars who have dealt with this fragment have followed Plutarch in holding that.

I argue, In opposition to george f burch, That anaximander was not a metaphysician but a natural scientist, And a very great one.

In lieu of an abstract, here is a brief excerpt of the content:184 BOOK REVIEWS knower, one may avoid undercutting the position that the cognitive powers are passive, without failing to do justice to the fact that aware· ness and discrimination are activities of the knower {pp. 71-72; 148· 49, n. 6). Second, Kai holds that the individual human being cannot really he said to have intuitive mind in himself: "Man has mind; hut only to a certain degree and without (...) mind losing its independence from the human whole.... the divine mind is present in man without los· ing its character of divine mind " (p. 75). If only God has intuitive mind {pp. 155, n. 32; 156-57, n. 13), how can the individual human being really know, even in the sense of having discursive thought? Since knowledge depends on first principles, what does not possess the intuitive mind which knows the first principles would, it seems, not properly have knowledge. The only hope for a definitive interpretation of the disconcertingly brief De Anima, 3. 5, lies in the possibility that one can establish a definite connection between this chapter and other elements in the Aris· totelian corpus, a connection that would elucidate the otherwise in· scrutable teaching on active mind. It is the great merit of Kai to have made an excellent case for a connection between De Anima, 3. 5, and two other elements in the Aristotelian corpus: nous as it functions in the logic and epistemology, and the unmoved mover of Metaphysics, Lambda. Exploring this connection in a penetrating and thorough analysis of a great body of Aristotelian and secondary te~ts, Kai has not merely taken a position on a more than two-thousand-year-old con· troversy, hut also has decisively advanced our understanding of active mind. St. John's University Jamaica, New York JAMES T. H. MARTIN Anselm Studies: An Occasional Journal. Vol. 2. Edited by JosEPH ScHNAUBELT, OSA, et al., White Plains, New York: Kraus Inter· national Publications, 1988. Pp. 634. $55.00. This volume contains the proceedings of the Fifth International Saint Anselm Conference (Villanova University, September 16-21, 1985). Held in conjunction with the Tenth International Patristic, Medieval, and Renaissance Conference, the meeting occasioned papers concen· trating on areas of "influence and juncture" in the life and thought of St. Anselm and St. Augustine. Given the dependence of much of Anselm's work on the thought of St. Augustine, the Conference took as its particular objective the understanding of the relationship between BOOK REVIEWS 185 faith and reason. While the focus of the papers in this volume includes both saints, the principal emphasis falls on Anselm as inheritor and interpretor of the methods and ideas of his intellectual ancestor. A brief introduction provides cameo presentations of Anselm's character as abbot, monk, and archbishop, together with a conspectus on Anselm's position vis-a-vis the canonical and ecclesiological issues of his day. The papers are then divided into five chapters: "Anselm's Monasticism." "The Proslogion Argument," "Truth: Anselm and Augustine," "Theological Method," and "The Anselmian Worldview." While the papers are of use to scholarly readers desiring detailed treatment of central issues in Anselm's logic and epistemology, the un· doubted strength of the collection lies in its well-calculated effort to integrate an understanding of Anselm's intellectual and spiritual out· look with the theological, spiritual, and literacy currents of his time. Especially for the historian of intellect and society, the essays in this volume provide analysis that advances our understanding of the cultural context of the 11th and 12th centuries. The contribution to our understanding of Anselm's culture is par· ticularly clear in the first and fourth divisions of the volume, the sec· tions dealing with monasticism and Anselm's worldview. In the former division, Glenn Olsen's assessment of " Anselm and Homosexuality" neatly evaluates the evidence for Anselm's sexual orientation made controversial by John Boswell's Christianity, Social Tolerance, and Homosexuality. In fact, the present article, together with its notes, provides a useful summary of the critical literature which has grown up of late around the Boswellian thesis as well as the study of literary expressions of affection in the 11th and 12th centuries. Olsen grasps the... (shrink)

Epidemics that were probably influenza have been reported throughout recorded history. There were 13 fairly severe epidemics during the 18th century and 12 during the 19th century. Probably 8 of these 25 were influenza pandemics. In the 20th century there have been 4 pandemics (1918/19, 1957/58, 1968/69 and 1977) due to the emergence of new subtypes of influenza A virus. The great pandemic of 1918/19 caused an estimated 20 million deaths. Between pandemics usually there have been epidemics of varying severity (...) at intervals of one to three years and a trickle of sporadic cases every winter. The morbidity and mortality rates have varied greatly from epidemic to epidemic and from place to place during the same epidemic. Generally the morbidity has been lowest in people over 60 years of age, but, except for 1918/19, the mortality has been predominantly in old people. The epidemic behaviour of influenza has been so erratic and difficult to understand that there are still a few scientists who consider that extraterrestrial influences operate. These views are not taken seriously by most virologists but there are puzzling aspects of influenza that are not yet understood. (shrink)

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

The present paper develops arguments for the need to formulate the basic theories of physics in terms of a six-dimensional manifold, as opposed to the four-dimensional space-time continuum of conventional theory. Employing a purely classical approach, some of the dynamical consequences of such a formulation with regard to both electrodynamics and gravitation are evaluated. The results lead to interesting implications with regard to various questions such as the occurrence and importance of superluminal particles, the existence of two or more physically (...) distinct time scales, and the variation of the gravitational coupling constant G and the law of energy conservation. The analysis also suggests a physical interpretation of the additional coordinates that occur in the metric. (shrink)

Let all finite sequences of letters of the English alphabet be ordered serially so that shorter sequences precede longer ones, and sequences of the same length are ordered alphabetically. Thus, an ordinal number is assigned to every possible English sentence of finite length. Among these numbers, some--call them S-numbers --will be the numbers of sentences which are instructions for writing down an infinite sequence of numbers. Now, it is impossible to state, in an English sentence of finite length, a generally (...) applicable procedure for determining whether an arbitrarily given number is an S-number. (shrink)

This most stupendous revolution in all intellectual history may seem in retrospect to have been long overdue. However, since myths are far more satisfying, emotionally and esthetically, than metaphysics, which moreover has no immediate survival value, we should wonder not at the tardiness of this development but rather at its having ever got started.

Nevertheless it is unfortunate that the great "sophist" has been cast into the outer darkness. Much of Plato's polemic becomes puzzling if it is not realized that the partisans of "opinion" as against "knowledge" were neither straw men nor the uncultured Many, but the leader and members of a vigorous and influential school, well-matched in their war with the Academy. Furthermore, Isocrates' philosophical views are of interest both intrinsically and as anticipations, sometimes astonishing, of various contemporary movements which profess allegiance (...) to "common sense.". (shrink)