A part of relativistic dynamics is axiomatized by simple and purely geometrical axioms formulated within first-order logic. A geometrical proof of the formula connecting relativistic and rest masses of bodies is presented, leading up to a geometric explanation of Einstein's famous E = mc² . The connection of our geometrical axioms and the usual axioms on the conservation of mass, momentum and four-momentum is also investigated.

The democratic principle in its extreme form is the assertation that the mere fact of free birth is alone sufficient to constitute a claim to all offices. It is never the claim of a majority to rule, but it is the demand that every one, whether rich or poor, high- or low-born, shall be equally represented in the constitution. This is what Aristotle calls the principle of numerical equality.-from "Chapter VI: Democracy"One of the most renowned classical scholars of the turn (...) of the 20th century here offers a lucid and highly readable overview of a difficult and little understood aspect of Greek history: its public law, not just how it was structured but how it behaved in action. This 1896 book-perfect for university students, amateur historians, and readers of the history of the law-covers the full range of Greek legal development, from the origin of the city-state and the beginnings of the Greek monarchy to the social and political institutions of the far-flung Greek civilization to the rise of federalism and its long-term historical impact on the cultures that came after.British classical scholar A.H.J. GREENIDGE was a lecturer in ancient history at Brasenose College, Oxford. He is also the author of Roman Public and Private Law (1894), Legal Procedure in Cicero's Time (1901), and Roman Public Life (1901), among many other works of ancient history. (shrink)

Le rôle de la méthode. La question de l'origine de la méthode est une question philosophique. Théorie biologique de la méthode ; la méthode moyen de défense ; critique de cette théorie. Origine transcendantale de la méthode. Caractère spirituel de la méthode. Méthode et calcul; leur différence. La vоlоnté, caractéristique de la raison et facteur constitutif de la méthode. Caractère esthétique de la méthode.

The modal completeness proofs of Guaspari and Solovay (1979) for their systems R and R – are improved and the relationship between R and R – is clarified.

An increasingly number of patients in Western civilizations suffer from weak authenticity structure which is characterized by a lack of self-realization, autonomy, character strength, stereotype behavior, inability to use (internal) dialogue in order to learn about oneself and defining oneself as a individual, and so on. In this paper a theoretical model of fragile authenticity structure and some suggestions to regain a more authentic attitude are presented.

The language $L_A$ is formed by adding the quantifier $\Finv x$ , "few x", to the infinitary logic L A on an admissible set A. A complete axiomatization is obtained for models whose universe is the set of ordinals of A and where $\Finv x$ is interpreted as there exist A-finitely many x. For well-behaved A, every consistent sentence has a model with an A-recursive diagram. A principal tool is forcing for $L_A$.

Studie over het werk van de Nederlandse filosoof Herman Dooyeweerd (1894- 1977).

L'auteur distingue entre la vérité constatante et la vérité vécue. Ces deux vérités sont qualitativement distinctes, et elles sont des ennemies archanées, dès qu'elles se trouvent en présence l'une de l'autre. De nos jours elles se combattent sous les noms de rationalisme et antirationalisme. Pourtant elles peuvent sans aucun compromis se transformer en une synthèse. Et cette synthèse se réalise lorsque la vérité constatante aboutit à sa suprême subtilité: l'observation introspective d'idées à tendance universelle (cette observation s'exprime en définitions exactes) (...) et l'introspection du mouvement de ces idées (qui s'exprime en logique exacte). Cette ultime introspection est la tâche de la philosophie. Le sens véritable de la philosophie est donc d'invoquer logiquement l'intuition postlogique. Cette intuition succède nécessairement à la pure logique philosophique et révèle aussi la valeur universelle des idées logiques par une rétrospection clarifiaǹte. (shrink)

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.