Twentieth-century developments in quantum physics, together with an emerging science of consciousness, have created the need for a new cosmology, or model of the universe. The theory of process contained in THE REFLEXIVE UNIVERSE places consciousness within the context of contemporary science. One of the central themes of this extraordinary work is that each successive organization of matter, from fundamental particles in physics to living organisms, expresses a particular stage in the evolution of mind. Starting with the photon, the basic (...) unit of light, and moving through atomic physics, molecular chemistry, the morphology of plants and animals and finally to levels of human evolution, Young develops his theory in vivid step-by-step detail. Consciousness, in his point of view, is not isolated from the material universe. It exists in a continuum, one in which physical and nonphysical realms can be linked and the teachings of mythology and religion can be integrated. To order: FAX: 415-883-9280; e-mail: [email protected]; or write: Anodos Foundation, c/o Publishers Services, P.O. Box 2510, Novato, CA 94948. Visa and MasterCard only. Trade STOP orders 40% plus postage. (shrink)

We prove that if p ≠ q are distinct primes, then the classification problems for p-local and q-local torsion-free abelian groups of rank two are incomparable with respect to Borel reducibility.

If some infinitary sentence provides a counterexample to Vaught's Conjecture, then there is an infinitary sentence which also provides a counterexample but has no model of cardinality bigger than ℵ₁.

Machine generated contents note: General editor's preface; Editorial notes and references; Introduction; Notes on text and translation; Chronology; Bibliography; Part I. On the Fourfold Root of the Principle of Sufficient Reason: 1. Introduction; 2. Survey of what is most important in previous teachings about the principle of sufficient reason; 3. Inadequacy of previous accounts and sketch of a new one; 4. On the first class of objects for the subject and the form of the principle of sufficient reason governing in (...) it; 5. On the second class of objects for the subject and the form of the principle of sufficient reason governing in it; 6. On the third class of objects for the subject and the form of the principle of sufficient reason governing in it; 7. On the fourth class of objects for the subject and the form of the principle of sufficient reason governing in it; 8. General remarks and results; Variants in different editions; Collation of the two editions; Part II. On Vision and Colours: 9. On vision; 10. On colours; Variants in different editions; Part III. On Will in Nature: 11. Introduction; 12. Physiology and pathology; 13. Comparative anatomy; 14. Plant physiology; 15. Physical astronomy; 16. Linguistics; 17. Animal magnetism and magic; 18. Sinology; Reference to ethics; Conclusion; Variants in different editions; Glossary of names; Index. (shrink)

If there is a good $\Delta^1_3$ wellordering of the reals, then there is a $\Pi^1_1$ wellfounded relation for which the comparison relation is not projective.

We show that every dominating analytic set in the Baire space has a dominating closed subset. This improves a theorem of Spinas [15] saying that every dominating analytic set contains the branches of a uniform tree, i.e. a superperfect tree with the property that for every splitnode all the successor splitnodes have the same length. In [15], a subset of the Baire space is called u-regular if either it is not dominating or it contains the branches of a uniform tree, (...) and it was proved that Σ21-Kσ-regularity implies Σ21-u-regularity. Here we show that these properties are in fact equivalent. Since the proof of analytic u-regularity uses a game argument it was clear that determinacy implies u-regularity of all sets. Here we show that an inaccessible cardinal is enough to construct a model for projective u-regularity, namely it holds in Solovay's model. Finally we show that forcing with uniform trees is equivalent to Laver forcing. (shrink)

1929. The course of Gifford Lectures that Eddington delivered in the University of Edinburgh in January to March 1927.

. . . The book is enhanced by the polished and lucid style of Mr. Waley's translations.

In At the Will of the Body , Arthur Frank told the story of his own illnesses, heart attack and cancer. That book ended by describing the existence of a "remission society," whose members all live with some form of illness or disability. The Wounded Storyteller is their collective portrait. Ill people are more than victims of disease or patients of medicine they are wounded storytellers. People tell stories to make sense of their suffering when they turn their diseases (...) into stories, they find healing. Drawing on the work of authors such as Oliver Sacks, Anatole Broyard, Norman Cousins, and Audre Lorde, as well as from people he met during the years he spent among different illness groups, Frank recounts a stirring collection of illness stories, ranging from the well-known--Gilda Radner's battle with ovarian cancer--to the private testimonials of people with cancer, chronic fatigue syndrome, and disabilties. Their stories are more than accounts of personal suffering: they abound with moral choices and point to a social ethic. Frank identifies three basic narratives of illness in restitution, chaos, and quest. Restitution narratives anticipate getting well again and give prominence to the technology of cure. In chaos narratives, illness seems to stretch on forever, with no respite or redeeming insights. Quest narratives are about finding that insight as illness is transformed into a means for the ill person to become someone new. (shrink)

Arthur Waley's brilliant and definitive translation of one of the foremost of all mystical books, Lao Tzu's Tao Te Ching, has become a modern classic in its own right. Unlike previous translations, it is founded not on the medieval commentaries but on a close study of all the early Chinese literature, and it provides a singular example of authoritative scholarship skillfully blended with brilliant, precise writing. In his introduction, Dr. Waley gives an extensive scholarly account of Chinese thought down (...) to the end of the third century B.C. Here, the author presents a full picture of Chinese prehistory, early philosophy, and literature, showing the original, lofty conception of Taoism before the gradual corruption through the course of centuries, tracing this conflict of philosophies and its background of politics. (shrink)

"Popular summaries of existentialism and Sartre's ideas have ensured a wide currency for such words as 'absurdity', 'nothingness', 'engagement', 'shame', and 'anguish'. But for Sartre, each of these words embodies a precise philosophical concept which he applies and explores further in his fiction and plays. Synthesized in 'Being and Nothingness' and 'Critique of Dialectical Reason', these concepts comprise a fully articulated philosophical system which, as Arthur C. Danto argues, in its vision and scope, logical responsibility and human relevance, takes (...) its place among the greatest of philosophical achievements. This book offers a synoptic and sympathetic reconstruction of the Sartrean system and in particular Sartre's analysis of the nature of language, consciousness, knowledge, self, and values." --Descripción del editor. (shrink)

Using the theory of Borel equivalence relations we analyze the isomorphism relation on the countable models of a theory and develop a framework for measuring the complexity of possible complete invariants for isomorphism.

Asl. Atthasalinl of Buddhaghosa, ed. PTS. 1897. BB. Bibliotheca Buddhica, Petrograd. BC. Buddhacarita, ed. Cowell, Oxford, 1893. BCA. ...

The English Franciscan, William of Ockham (c. 1285-1349), was one of the most important thinkers of the later middle ages. Summoned to Avignon in 1324 to answer charges of heresy, Ockham became convinced that Pope John XXII was himself a heretic in denying the complete poverty of Christ and the apostles and a tyrant in claiming supremacy over the Roman empire. Ockham's political writings were a result of these personal convictions, but also include systematic discourses on the basis and functions (...) of spiritual and secular power as well as exhaustive discussions of Franciscan poverty and the general problem of papal heresy. Ockham emerges in this study as a man deeply committed to natural and Christian human rights, who found these fundamental values so seriously menaced in his time that their survival could be assured only by radical, even revolutionary, personal action and by a basic reworking of traditional political thought. (shrink)

We consider Borel equivalence relations E induced by actions of the infinite symmetric group, or equivalently the isomorphism relation on classes of countable models of bounded Scott rank. We relate the descriptive complexity of the equivalence relation to the nature of its complete invariants. A typical theorem is that E is potentially Π03 iff the invariants are countable sets of reals, it is potentially Π04 iff the invariants are countable sets of countable sets of reals, and so on. The proofs (...) use various techniques, including Vaught transforms, changing topologies, and the Scott analysis of countable models. (shrink)

We show that every ℵα can be characterized by the Scott sentence of some countable model; moreover there is a countable structure whose Scott sentence characterizes ℵ1 but whose automorphism group fails the topological Vaught conjecture on analytic sets. We obtain some partial information on Ulm type dichotomy theorems for the automorphism group of Knight's model.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

We announce two new dichotomy theorems for Borel equivalence relations, and present the results in context by giving an overview of related recent developments.§1. Introduction. For X a Polish space and E a Borel equivalence relation on X, a classification of X up to E-equivalence consists of finding a set of invariants I and a map c : X → I such that xEy ⇔ c = c. To be of any value we would expect I and c to be (...) “explicit” or “definable”. The theory of Borel equivalence relations investigates the nature of possible invariants and provides a hierarchy of notions of classification.The following partial ordering is fundamental in organizing this study. Given equivalence relations E and F on X and Y, resp., we say that E can be Borel reduced to F, in symbolsif there is a Borel map f : X → Y with xEy ⇔ fFf. Then if is an embedding of X/E into Y/F, which is “Borel”.Intuitively, E ≤BF might be interpreted in any one of the following ways: The classi.cation problem for E is simpler than that of F: any invariants for F work as well for E. One can classify E by using as invariants F-equivalence classes. The quotient space X/E has “Borel cardinality” less than or equal to that of Y/F, in the sense that there is a “Borel” embedding of X/E into Y/F. (shrink)

As social, locative, and mobile media render the intimate public and the public intimate, this volume interrogates how this phenomenon impacts art practice and politics. Contributors bring together the worlds of art and media culture to rethink their intersections in light of participatory social media. By focusing upon the Asia-Pacific region, they seek to examine how regionalism and locality affect global circuits of culture. The book also offers a set of theoretical frameworks and methodological paradigms for thinking about contemporary art (...) practice more generally. (shrink)

Open peer commentary on the article “Elementary Students’ Construction of Geometric Transformation Reasoning in a Dynamic Animation Environment” by Alan Maloney. Upshot: Parnorkou and Maloney’s article presents an interesting, well-structured and clearly described study of children’s reasoning about mental rotations. Specifically, Parnorkou and Maloney deploy the microworld Graphs ’n Glyphs, and use it as a “window on thinking-in-change” as they observe and interview children who use it. Reading the article raised a few questions for me about the role of body (...) syntonicity in learning about rotation of geometric shapes, and I wonder where the authors feel these foundational concepts fit in with their research. (shrink)

Open peer commentary on the article “Circularity and the Micro-Macro-Difference” by Manfred Füllsack. Upshot: Füllsack provides a convincing argument for viewing circularity through a systems sciences perspective and for seeing micro-level emergence as an explanatory lens for phenomena that are circular at the macro-level. However, as an educator focusing on reasoning about circular macro-level phenomena through explanations at the micro-level, I see a series of issues relating designing appropriate learning experiences and fundamentally defining what this kind of thinking looks like.

The existence of a countable complete theory with exactly $\aleph_1$ many minimal models is independent of $\mathrm{ZFC} + \neg\mathrm{CH}$.

The English Franciscan, William of Ockham (c. 1285-1349), was one of the most important thinkers of the later middle agesThis book provides a coherent account of Ockham's aims and the principles operating in all his political works.

Philosophical discussions of akrasia over the last fifteen years have focused on certain skeptical arguments which purport to question the possibility of a kind of akratic action which, following Pears, I call 'last ditch akrasia' (Pears [38]). An agent, succumbing to last ditch akrasia, freely, knowingly, and intentionally performs an action A against his better judgment that an incompatible action B is the better thing to do. (See Audi [1] for a detailed analysis.) Last ditch akrasia is not the only (...) kind that has been discussed. Some philosophers (Mele [32], Scaltas [48]) have been concerned with a more extreme form of akratic action, viz. one in which the agent not only judges that action B is best, but in addition intends (chooses, decides) to B. Some have even questioned whether freely acting against one's better judgment is sufficient for akratic action (Schiffer [49]: 201-3).1 Weaker types of akratic action have been discussed, though to a much lesser extent, since they are thought less problematic. Pears distinguishes last ditch akrasia from what he calls, "motivated irrational action" ([38]: 160). In cases of the latter, the akrates' rebellious desire infects his prior reasoning and thinking in such a way that his contemplated action seems to him warranted, and he acts accordingly. (For a taxonomy of cases of akratic action, see Rorty ([44])). Nor has the discussion of akrasia been restricted to akratic action. Philosophers have discussed whether akrasia can be exhibited in the formation of intentions, wants (See Audi [1]: 181-185), and beliefs (Mele [32]: ch. 8; Heil [19]). The primary focus in this paper is on last ditch akratic action. (shrink)

Assuming AD + DC, we characterize the self-dual boldface pointclasses which are strictly larger than the pointclasses contained in them: these are exactly the clopen sets, the collections of all sets of Wadge rank [Formula: see text], and those of Wadge rank [Formula: see text] when ξ is limit.

The study of continuous group actions is ubiquitous in mathematics, and perhaps the most general kinds of actions for which we can hope to prove theorems in just ZFC are those where a Polish group acts on a Polish space.For this general class we can find works such as [29] that build on ideas from ergodic theory and examine actions of locally compact groups in both the measure theoretic and topological contexts. On the other hand a text in model theory, (...) such as [12], will typically consider issues bearing on the actions by the symmetric group of all permutations of the integers. More generally [1] shows that the orbit equivalence relations induced by closed subgroups of the infinite symmetric group can be reduced to the isomorphism relation on corresponding classes of countable models.This paper considers a third category formed by the continuous actions of separable Banach spaces on Polish spaces. These examples cannot be subsumed under the two earlier headings, and it is known from [10] that theBorel cardinalitiesof the quotient spaces that arise from such actions are incomparable with the equivalence relations induced by the symmetric group or any locally compact Polish group action.One of the first things to be addressed concerns the complexity of these equivalence relations. This question forappears in [1]. (shrink)

A sympathetic and systematic reconstruction of Sartre's philosophy, explaining its relation to other major philosophical theories. Among the themes elucidated are the relation between reality and our representation of it; the parities between language and consciousness; the relationship between the world as it may be and as we structure it in our interventions as engaged beings; the conceptual interdependence of the self and others; and the connections between factual beliefs and systems of value.--Adapted from book jacket.

Michael Oakeshott’s distinction between ‘civil association’ and ‘enterprise association’ has inspired international society theorists to conceive of international society as not just a ‘purposive association’ constructed by states to satisfy their interests but also as a ‘practical association’ providing formal and pragmatic rules that are not instrumental to particular goals of state policy. While this article is supportive of the Oakeshottian turn in international society theory, it suggests that somewhat different conclusions can be drawn from it. The article sketches out (...) an alternative conception of international ‘civil association’, one that transcends the boundaries of communities. It is argued that such a notion of civil association is both possible and at the same time anchored in the experiences of the modern state. It is suggested that this notion of international civil association, when sustained by an adequate legal conception, promotes the enforcement of moral and political responsibility acr... (shrink)

The aim of this book is to give an account of Einstein's work without introducing anything very technical in the way of mathematics, physics, or philosophy.

Let E be a Σ1 1 equivalence relation for which there does not exist a perfect set of inequivalent reals. If 0# exists or if V is a forcing extension of L, then there is a good ▵1 2 well-ordering of the equivalence classes.

In the presence of large cardinals, or sufficient determinacy, every equivalence relation in L(R) either admits a wellordered separating family or continuously reduces E 0.