It is a classical result of Mortimer that $L^2$ , first-order logic with two variables, is decidable for satisfiability. We show that going beyond $L^2$ by adding any one of the following leads to an undecidable logic:– very weak forms of recursion, viz.¶(i) transitive closure operations¶(ii) (restricted) monadic fixed-point operations¶– weak access to cardinalities, through the Härtig (or equicardinality) quantifier¶– a choice construct known as Hilbert's $\epsilon$ -operator.In fact all these extensions of $L^2$ prove to be undecidable both for satisfiability, (...) and for satisfiability in finite structures. Moreover most of them are hard for $\Sigma^1_1$ , the first level of the analytical hierachy, and thus have a much higher degree of undecidability than first-order logic. (shrink)

Routledge is now re-issuing this prestigious series of 204 volumes originally published between 1910 and 1965. The titles include works by key figures such asC.G. Jung, Sigmund Freud, Jean Piaget, Otto Rank, James Hillman, Erich Fromm, Karen Horney and Susan Isaacs. Each volume is available on its own, as part of a themed mini-set, or as part of a specially-priced 204-volume set. A brochure listing each title in the "International Library of Psychology" series is available upon request.

This book constitutes the outcome of an international conference held at the Otto-Mobes-Volkswirtschaftsschule, Graz-Stifting( Austria), from June 16 to 22, 1974. The conference was initiated by a project group working on determinants and controls of social science development at the In stitute for Advanced Studies and Scientific Research in Vienna and or ganized by the editors of this volume. It was held under the auspices of the Austrian Ministry of Science and Research. The main topics of the conference were (...) those at the forefront of the 'state of argumentation' (to borrow from one of our contributors) in philosophy and sociology of science ever since the controversy between Thomas S. Kuhn and Sir Karl R. Popper has sharpened our awareness for the methodological and substantial presuppositions involved with questions of growth and development in science. Let us give two examples of those topics. The borderline between sociology of science and philo sophy of science has become more and more unclear; while the work of at least some philosophers of science comes to have an empirical flavour, sociologists of science are increasingly apt to include logical and methodo logical components of the research process as their objects of examina tion. Papers included in this volume testify to both tendencies. (shrink)

Treatises on Indian philosophy have multiplied in the last thirty years, in the “West as well as in India itself. And in spite of the demanding nature of this subject—it exacts, so to speak, a uniform presentation; it entails a whole succession of systems, each one of which is elaborated in a more or less independent manner—this abundance is nonetheless profitable. Each author makes his contribution in the detailed account of new views and strives to rejuvenate a somewhat refractory material, (...) even if this involves the taking up of old views, discarded or neglected by the new generation of scholars. (shrink)

Routledge is now re-issuing this prestigious series of 204 volumes originally published between 1910 and 1965. The titles include works by key figures such asC.G. Jung, Sigmund Freud, Jean Piaget, Otto Rank, James Hillman, Erich Fromm, Karen Horney and Susan Isaacs. Each volume is available on its own, as part of a themed mini-set, or as part of a specially-priced 204-volume set. A brochure listing each title in the "International Library of Psychology" series is available upon request.

The oceanic feeling -- The psyche's unitive trends -- Otto Rank's will therapy -- Erich Fromm's humanistic psychoanalysis -- The mystical in art and culture : Milner, Winnicott, and Ehrenzweig -- D.W. Winnicott's analysis of the self -- The cosmic narcissism of Heinz Kohut -- Hans W. Loewald and psychic integration -- Wilfred R. Bion's transformations of O -- James Grotstein and the transcendent position -- The personal monism of Neville Symington -- The ecstasies of Michael Eigen.

Routledge is now re-issuing this prestigious series of 204 volumes originally published between 1910 and 1965. The titles include works by key figures such asC.G. Jung, Sigmund Freud, Jean Piaget, Otto Rank, James Hillman, Erich Fromm, Karen Horney and Susan Isaacs. Each volume is available on its own, as part of a themed mini-set, or as part of a specially-priced 204-volume set. A brochure listing each title in the "International Library of Psychology" series is available upon request.

The three books presented in this volume, _Integral Humanism_, _Freedom in the Modern World_, and _A Letter on Independence_, were all written in the early 1930s, a time of dire trouble for France. France was then surrounded by enemies preparing for war and was itself so violently split between parties of Left and Right that it seemed on the verge of Civil War. In this collection, Jacques Maritain accepts the responsibility of a Christian philosopher to actively address the agonizing practical (...) problems of the time. Maritain discusses major political issues such as the relation of freedom and religion, the opposition of democracy to any form of totalitarianism, the relation of the spiritual and the temporal, the need for an integral and Christian humanism, and the prospects for a new Christian civilization, all in opposition to the materialism of both communism and capitalism. Against the fierce antagonism of the parties of the political Left and Right, Maritain declares a plague on both their houses and strongly affirms the need for independence from both of them. He does so by distinguishing between two senses of the terms Left and Right, one denoting a temperamental or physiological disposition, the other a definite political position. In the latter sense, Maritain asserts that he is an independent, while acknowledging that he is, by temperament, a man of the Left. (shrink)

Routledge is now re-issuing this prestigious series of 204 volumes originally published between 1910 and 1965. The titles include works by key figures such asC.G. Jung, Sigmund Freud, Jean Piaget, Otto Rank, James Hillman, Erich Fromm, Karen Horney and Susan Isaacs. Each volume is available on its own, as part of a themed mini-set, or as part of a specially-priced 204-volume set. A brochure listing each title in the "International Library of Psychology" series is available upon request.