Treating mathematical science as a distinct cultural entity subject to environmental factors which influence its evolution, the author examines the creation and development of its major concepts since early times.

This_classic undergraduate text_elegantly acquaints students with the_fundamental concepts and methods of mathematics. In addition to introducing_many noteworthy historical figures_from the 18th through the mid-20th centuries, it examines_the axiomatic method, set theory, infinite sets, the linear continuum and the real number system, groups, intuitionism,_formal systems, mathematical logic, and other topics.

Treating mathematical science as a distinct cultural entity subject to environmental factors which influence its evolution, the author examines the creation and development of its major concepts since early times.

English summary: Ruyer argued that metaphysics spanned the spaces or gaps of knowledge that escaped from scientific teaching. Attentive to the latest scientific advancements, Ruyer produced a monism that placed a finalism attached to existing forms at the center of the universe, creating an original philosophical theology. After a brief biography, this book presents Ruyers work and thought, his principal texts in which he emerges as one of the most important thinkers of the twentieth century. French description: Il y deux (...) manieres de se convaincre qu'on peut retirer une connaissance profonde de l'etude des sciences de la nature. Ou l'on croit que les sciences decrivent avec exactitude l'univers (et l'homme lui-meme). Ou l'on tient avec Ruyer qu'en suivant mot a mot, et pas a pas, les enseignements des sciences, on enjambe des espaces de connaissance qui leur echappent et qui sont l'objet de la metaphysique. Attentif aux dernieres avancees du savoir, Ruyer decouvre la possibilite de retourner le materialisme et de produire un monisme qui place au centre de l'univers, non plus la matiere, mais le finalisme attache aux formes existantes. Cette metaphysique qui est exposee notamment dans le Neo-finalisme, rejette le dualisme, se passe du sujet cartesien et aboutit a une theologie originale. Apres une breve biographie de Ruyer, le present ouvrage etudie les constantes et les evolutions de sa pensee, puis analyse ses oeuvres principales, ou l'on reconnaitra sans peine un des penseurs majeurs du XXe siecle. (shrink)

The development of the aquaculture industry in Canada has triggered a conflict of a scope never seen before. As stated in Young and Matthews’ The Aquaculture Controversy, this debate has “mushroomed over the past several decades to become one of the most bitter and stubborn face-offs over industrial development ever witnessed in Canada” (Young and Matthews in The aquaculture controversy in Canada. Activism, policy and contested science. UBC Press, Vancouver, p 3, 2010). It opposes a wide variety of actors: from (...) industrial investors, scientists, politicians and environmentalists to Native associations and communities, citizens groups and local stakeholders. The opposition is fierce between those in favor of a flourishing and modern aquaculture of industrial nature and those who fear the dreadful consequences of such an industry. In particular, the possible implementation of biotechnology innovations, such as a genetically modified salmon, has made this debate coextensive with the GMO debate, thus multiplying the opposition’s spectrum of arguments against the industry. Throughout the debate, Canadian environmental NGOs like the Suzuki Foundation and Greenpeace Canada have assumed leadership over the opposition to aquaculture development with certain success. Their participation in the debate features numerous ethical concerns related to environmental health, a respect for wilderness and local human communities. Such a position can be associated overall with a form of ecocentric ethics or concern. Nevertheless, a careful examination of the technical solutions proposed by these NGOs reveals their embeddedness in biocentrism. Through the example taken from the Canadian debate on aquaculture development, this paper aims to highlight the conceptual difficulty of enacting ecocentric ethical positions beyond formal arguments. Because ecocentrism implies a true paradigm shift, not only in mentality, but also in the way we conceive our technical interventions in nature, biocentrism remains an important practical method to enact ethical positions related to environmental concerns in public debates. (shrink)

Le présent dossier consacré à Raymond Ruyer s’inscrit dans le contexte d’une redécouverte de ce penseur français admiré en son temps par plusieurs de ses pairs, tels que Merleau-Ponty, Canguilhem ou Deleuze, et dans la dynamique de ce qu’on peut désormais appeler les « études ruyériennes ». Plusieurs revues ont en effet consacré ces dernières années des numéros au philosophe nancéien : Les Études philosophiques, la Revue philosophique de la France et de l’étranger (n°1/...

Ubuntu has been defined as a moral quality of human beings, as a philosophy or an ethic, as African humanism, and as a worldview. This paper explores these definitions as conceptual tools for understanding the cultural, educational, and philosophical landscape of post-apartheid South Africa. Key to this understanding is the Althusserian concept of state apparatus. Louis Althusser divides the state apparatus into two forces: the repressive state apparatus (RSA); and the ideological state apparatus (ISA). RSAs curtail the working classes, (...) predominately through direct violence or the threat of violence, whereas ISAs function primarily by ideology, including forms of organised religion, the education system, family units, legal systems, trade unions, political parties, and media. This paper discusses the link between increasing inequality in post-apartheid South Africa and education, with specific reference to Althusser’s ISAs and the abuse of Ubuntu as a subterfuge for socio-economic inequality. (shrink)

Madness and Modernism provides a phenomenological study of schizophrenic disorders, criticizing some standard conceptions of these disorders. Sass argues that many aspects of this group of disorders can actually involve more sophisticated (albeit dysfunctional) forms of mind and experience.

Time's mysteries seem to resist comprehension and what remains, once the familiar metaphors are stripped away, can stretch even the most profound philosopher. In Of Time and Lamentation, Raymond Tallis rises to this challenge and explores the nature and meaning of time and how best to understand it. The culmination of some twenty years of thinking, writing and wondering about (and within) time, it is a bold, original, and thought-provoking work. With characteristic fearlessness, Tallis seeks to reclaim time from (...) the jaws of physics. For most of us, time is composed of mornings, afternoons, and evenings and expressed in hurry, hope, longing, waiting, enduring, planning, joyful expectation, and grief. Thinking about it is to meditate on our own mortality. Yet, physics has little or nothing to say about this time, the time as it is lived. The story told by caesium clocks, quantum theory, and Lorentz coordinates, Tallis argues, needs to be supplemented by one of moss on rocks, tears on faces, and the long narratives of our human journey. Our temporal lives deserve a richer attention than is afforded by the equations of mathematical physics.The first part of the book, "Killing Time" is a formidable critique of the spatialized and mathematized account of time arising from physical science. Part 2, "Human Time" examines tensed time, the reality of time as it is lived: what we mean by "now", how we make sense of past and future events, and the idea of eternity. (shrink)

This work subjects the fundamental ideas of Derrida, Lacan, Barthes and their followers to an examination and demonstrates the baselessness of post-Saussurean claims about the relations between language, reality and self.

An entertaining series of logic problems and puzzles of increasing difficulty, and all relating important mathematical and logical concepts, includes mind-benders, paradoxes, metapuzzles, number exercises, and a mathematical novel.

Raymond Turner first provides a logical framework for specification and the design of specification languages, then uses this framework to introduce and study ...

This book establishes the connection between the evolutionary scientific ideas of The Human Phenomenon and the Christian spirituality and theology of The Divine Milieu.

In The Other Half of Church, pastor Michel Hendricks and neurotheologian Jim Hendricks couple brain science and the Bible to identify how to overcome spiritual stagnation by living a full-brained faith. They also identify the four ingredients necessary to develop and maintain a vibrant transformational community where spiritual formation occurs, relationships flourish, and the toxic spread of narcissism is eradicated.

Malgré un titre qui peut paraître imposant et intimider, le lecteur trouvera dans ce livre le condensé, particulièrement clair et élégant, que Raymond Ruyer voulut donner de sa pensée au soir de sa vie, en un ultime effort de présentation et d'actualisation. L'ouvrage, entièrement achevé, était jusqu'à ce jour inédit, ce qui fait de sa publication un événement. La pensée de Ruyer a retenu l'attention de nombre des penseurs les plus importants de la seconde moitié du XXe siècle (comme (...) Merleau-Ponty, Canguilhem, Deleuze ou Lacan), qui n'hésitaient pas à la placer au plus haut. La publication du dernier manuscrit philosophique de Ruyer représente l'occasion de se familiariser avec sa pensée et de lui accorder enfin la place qu'elle mérite. L'objectif du philosophe de Nancy a consisté à construire un système métaphysique ajusté aux découvertes de la science contemporaine. S'il est bien question ici de "Dieu", ce n'est pas dans la perspective d'une révélation : le Dieu de Ruyer est un Dieu spéculatif, comme celui d'Aristote ou de Whitehead, et nous sommes loin des considérations sur "le savant et la foi". D'autre part, "l'embryogenèse du monde" n'est pas une rêverie incontrôlée sur quelque Oeuf primordial, mais une tentative argumentée de constituer un panpsychisme à la manière de Leibniz, selon ce que Ruyer appelle lui-même une "monadologie corrigée". (shrink)

Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems. Smullyan's accessible narrative provides memorable examples of concepts related to proofs, propositional logic and first-order logic, incompleteness theorems, and incompleteness proofs. Additional topics include undecidability, combinatoric logic, and recursion theory. Suitable for undergraduate and (...) graduate courses, this book will also amuse and enlighten mathematically minded readers. (shrink)

Cet ouvrage est une réédition numérique d’un livre paru au XXe siècle, désormais indisponible dans son format d’origine.

More on propositional and first-order logic -- More on propositional logic -- More on first-order logic -- Recursion theory and metamathematics -- Some special topics -- Elementary formal systems and recursive enumerability -- Some recursion theory -- Doubling up -- Metamathematical applications -- Elements of combinatory logic -- Beginning combinatory logic -- Combinatorics galore -- Sages, oracles, and doublets -- Complete and partial systems -- Combinators, recursion, and the undecidable -- Where to go from here.