We investigate computability theoretic and topological properties of spaces of orders on computable orderable groups. A left order on a group G is a linear order of the domain of G, which is left-invariant under the group operation. Right orders and bi-orders are defined similarly. In particular, we study groups for which the spaces of left orders are homeomorphic to the Cantor set, and their Turing degree spectra contain certain upper cones of degrees. Our approach unifies and extends Sikora’s [28] (...) investigation of orders on groups in topology and Solomon’s [31] investigation of these orders in computable algebra. Furthermore, we establish that a computable free group Fn of rank n>1 has a bi-order in every Turing degree. (shrink)

Integration (interaction among parts of an entity) is suggested to be necessary for individuality (contra, Metaphysics and the Origin of Species). A synchronic species is an integrated individual that can evolve as a unified whole; a diachronic lineage is a non-integrated historical entity that cannot evolve. Synchronic species and diachronic lineages are consequently suggested to be ontologically distinct entities, rather than alternative perspectives of the same underlying entity (contra Baum (1998), Syst. Biol. 47, 641–653; de Queiroz (1995), Endless Forms: Species (...) and Speciation, pp. 57–75; Genes, Categories and Species). Species concepts usually refer to either one or the other entity; for instance, the Biological Species Concept refers to synchronic species, whereas the Cladistic Species Concept refers to diachronic lineages. The debate over species concepts has often failed to recognise this distinction, resulting in invalid comparisons between definitions that attempt to delineate fundamentally different entities. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:152 BOOK REVIEWS with Weinrih's theory of formalism which Joseph Raz points out in his essay. One of the most serious of these deficiencies in my opinion is the role that is accorded to the judiciary. Weinrih's theory, as Raz shows, requires that when positive law is in conflict with the " form of law," positive law should he disregarded by the courts, and the courts in these cases (...) not only have the legal right to disregard the statutes of law hut even the moral duty to do so. To give such total discretionary power to the courts is certainly to offer an invitation impossible to re· sist, as the recent judicial history of the United States Supreme Court clearly shows, to autocratic and politically motivated judicial activism. The above remarks, inadequate as they are because of the constraints of space, may offer some indication of the rich diversity of natural law theories currently offering themselves for our consideration. Those interested in natural law theory either within the framework of moral theory, or legal theory, or both, will surely find that a careful reading of this volume will amply reward their efforts. St. John's University Jamaica, New York THOMAS A. FAY Metaphysics: An Outline of the History of Being. By MIECZYSLAW ALBERT KRAPIEC, O.P., translated by Theresa Sandok. New York: Peter Lang, 1991. Pp. 539. $69.95 (cloth). This volume is the second in Lang's Catholic Thought from Lublin series edited by Andrew Woznicki. Krapiec's work is a tour de force of Gilsonian Thomism as it founds metaphyscis upon a judgmental grasp of the act of existence in sensible things. The hook is unrelentingly Krapiec. Though there are abundant historical descriptions, there is a minimum of textual citation. Also, the reader can plainly see that Krapiec is intent upon presenting his understanding of metaphysics ad mentem Thomae. Three main parts comprise the hook. Part One is on the object of metaphysics-being as being (as existing). Part One contains the most crucial pages of the hook, viz., pp. 86-100. There Krapiec explains the attainment of this object. This portion is obviously the heart of the hook, and I will treat it in detail later. Part One also includes a lengthy exposition of the transcendentals. Part Two focuses on the structure of being and elaborates the following : act and potency, substance and accidents, matter and form, essence and existence, and the causes of being. There are two noteworthy points here. First, Krapiec's lengthy inclusion (pp. 313-374) of BOOK REVIEWS 153 matter and form within his metaphysics seems to have metaphysics swallowing up natural philosophy. One's misgivings are not assuaged by Krapiec's presentation of the division of the speculative sciences hack in his General Introduction. There the first degree of abstraction is no longer the home of natural philosophy hut the home of the modern humanistic and natural sciences (p. 28). The second degree harbors mathematics, while the third degree is home not only to metaphysics hut "philosophy" (pp. 28-9). The reader is left wondering what has happened to natural philosophy. I see no exigency' for Krapiec's metaphysics to eclipse natural philosophy. Moreover, for some Thomists, the move will create an unfortunate distraction from the good points of Krapiec's metaphysics. Second, by this reader's count, Krapiec presents no less than nine arguments for the real distinction between essence and existence. These arguments include the following: Aquinas's De Ente et Essentia argument that one can know what a phoenix is without knowing that one exists; the necessary character of existence as an essence vs. contingent realities; the monism of existence as an essence vs. the plurality of beings ; the infinity of existence as an essence vs. finite realities; and the reality of the potency/act distinction applied to essence-as·potency and existence-as-act. I cannot engage this involved topic in the short space of a review. I will say, however, that with Joseph Owens, I fail to see why a conceptual distinction between essence and existence is insufficient to deal with the above facts and problems. Underwriting my skepticism is the understanding that meanings can remain... (shrink)

By proposing the Microcosm and Macrocosm analogy for dialogue between Islamic Philosophy and Occidental Phenomenology, the authors of this volume are reviving the perennial positioning of the human condition in the play of forces within and without the human being. This theme has run from Plato through the Middle Ages, Renaissance and Modernity, and has been ignored by contemporaries. It now acquires a new pertinence and striking significance due to the scientific discoveries into the "infinitely small" in life, on the (...) one hand, and the prodigious technological discoveries of the "infinitely great" on the other. Both open up undreamt-of prospects for the continuing conquest of cosmic forces. The human person – thrown into turmoil by the new approaches to life and needing to acquire new habits of mind, having lost security of all beliefs – desperately seeks a new clarification of the Human Condition within the unity of everything-there-is, of cosmic forces, and of his destiny. The dialogue between Islamic Philosophy and phenomenology of life can show the way. Papers by: Gholam-Reza A'awani, Mehdi Aminrazavi, Roza Davari Ardakani, Mohammad Azadpur, Gary Backhaus, Marina Banchetti-Robino, William Chittick, Seyed Mostafa Muhaghghegh Damad, Golamhossein Ebrahimi Dinani, Nader El-Bizri, Kathleen Haney, Salahaddin Khalilov, Sayyid Mohammad Khamenei, Mahmoud Khatami, Mieczyslaw Pawel Migon, Nikolay Milkov, Sachiko Murata, Anna-Teresa Tymieniecka, Daniela Verducci. (shrink)