Plato: The Timaeus There is nothing easy about the Timaeus. Its length, limited dramatic discourse, and arid subject-matter make for a dense and menacing work. But make no mistake, it is a menacing work of great subtly and depth. Cosmology has traditionally received the bulk of scholarly attention. No less important, however, are the dialogue’s … Continue reading Plato: The Timaeus →.
A recursive enumerator for a function h is an algorithm f which enumerates for an input x finitely many elements including h(x), f is a k(n)-enumerator if for every input x of length n, h(x) is among the first k(n) elements enumerated by f. If there is a k(n)-enumerator for h then h is called k(n)-enumerable. We also consider enumerators which are only A-recursive for some oracle A. We determine exactly how hard it is to enumerate the Kolmogorov function, which (...) assigns to each string x its Kolmogorov complexity: • For every underlying universal machine U, there is a constant a such that C is k(n)-enumerable only if k(n) ≥ n/a for almost all n. • For any given constant k, the Kolmogorov function is k-enumerable relative to an oracle A if and only if A is at least as hard as the halting problem. • There exists an r.e., Turing-incomplete set A such for every non-decreasing and unbounded recursive function k, the Kolmogorov function is k(n)-enumerable relative to A. The last result is obtained by using a relativizable construction for a nonrecursive set A relative to which the prefix-free Kolmogorov complexity differs only by a constant from the unrelativized prefix-free Kolmogorov complexity. Although every 2-enumerator for C is Turing hard for K, we show that reductions must depend on the specific choice of the 2-enumerator and there is no bound on the quantity of their queries. We show our negative results even for strong 2-enumerators as an oracle where the querying machine for any x gets directly an explicit list of all hypotheses of the enumerator for this input. The limitations are very general and we show them for any recursively bounded function g: • For every Turing reduction M and every non-recursive set B, there is a strong 2-enumerator f for g such that M does not Turing reduce B to f. • For every non-recursive set B, there is a strong 2-enumerator f for g such that B is not wtt-reducible to f. Furthermore, we deal with the resource-bounded case and give characterizations for the class ${\rm S}_{2}^{{\rm P}}$ introduced by Canetti and independently Russell and Sundaram and the classes PSPACE, EXP. • ${\rm S}_{2}^{{\rm P}}$ is the class of all sets A for which there is a polynomially bounded function g such that there is a polynomial time tt-reduction which reduces A to every strong 2-enumerator for g. • PSPACE is the class of all sets A for which there is a polynomially bounded function g such that there is a polynomial time Turing reduction which reduces A to every strong 2-enumerator for g. Interestingly, g can be taken to be the Kolmogorov function for the conditional space bounded Kolmogorov complexity. • EXP is the class of all sets A for which there is a polynomially bounded function g and a machine M which witnesses A ∈ PSPACEf for all strong 2-enumerators f for g. Finally, we show that any strong O(log n)-enumerator for the conditional space bounded Kolmogorov function must be PSPACE-hard if P = NP. (shrink)
Many of the things that we try to explain, in both our common sense and our scientific engagement with the world, are capable of being explained more or less finely: that is, with greater or lesser attention to the detail of the producing mechanism. A natural assumption, pervasive if not always explicit, is that other things being equal, the more finegrained an explanation, the better. Thus, Jon Elster, who also thinks there are instrumental reasons for wanting a more fine-grained explanation, (...) assumes that in any case the mere fact of getting nearer the detail of production makes such an explanation intrinsically superior: “a more detailed explanation is also an end in itself”. Michael Taylor agrees: “A good explanation should be, amongst other things, as fine-grained as possible.”. (shrink)
Despite the renewed interest in Frank Lloyd Wright and the increasing body of literature that has illuminated his career, the deeper meaning of his architecture continues to be elusive. His own writings are often interesting commentaries but tend not to enlighten us as to his design methodology, and it is difficult to make the connection between his stated philosophy and his actual designs. This book is a refreshing account that evaluates Wright’s contribution on the basis of his architectural form, (...) its animating principle and consequent meaning. Wright’s architecture, not his persona, is the primary focus of this investigation. This study presents a comprehensive overview of Wright’s work in a comparative analytical format. Wright’s major building types have been identified to enable the reader to pursue a more systematic understanding of his work. The conceptual and experiential order of each building group is demonstrated visually with specially developed analytical illustrations. These drawings offer vital insights into Wright’s exploration of form and underscore the connection between form and principle. The implications of Wright’s work for architecture in general serves as an important underlying theme throughout. This volume also integrates the research of several noted scholars to clarify the interaction of theory and practice in Wright’s work, as well as the role of formal order in architectural experience in general. By seeing how Wright integrates his intuitive and intellectual grasp of design, the reader will build a keen awareness of the rational and coherent basis of his architecture and its symbiotic relationship with emotional, qualitative reality. A graphic taxonomy of plans of Wright’s building designs helps the reader focus on specific subjects. Among the diverse areas covered are sources and influences of Wright’s work, domestic themes and variations, public buildings and skyscraper designs, and the influence of site on design. Complete with a chronology of the master architect’s work, Frank Lloyd Wright: Between Principle and Form is an important reference for students, architects and architectural historians. (shrink)
Los teóricos de la democracia dejaron de lado la pregunta de quién legalmente forma parte del "pueblo" autorizado, pregunta que atraviesa a todas las teoría de la democracia y continuamente vivifica la práctica democrática. Determinar quién constituye el pueblo es un dilema inabordable e incluso imposible de responder democráticamente; no es una pregunta que el pueblo mismo pueda decidir procedimentalmente porque la propia premisa subvierte las premisas de su resolución. Esta paradoja del mandato popular revela que el pueblo para ser (...) mejor comprendido como una demanda política, como un proceso de subjetivación, surge y se desarrolla en distintos contextos democráticos. En Estados Unidos el disputado poder para hablar en beneficio del pueblo deriva de un excedente constitutivo heredado de la era revolucionaria, a partir del hecho de que desde la Revolución el pueblo ha sido por vez primera encarnado por la representación y como exceso de cualquier forma de representación. La autoridad posrevolucionaria del vox populi deriva de esa continuamente reiterada pero nunca realizada referencia a la soberanía del pueblo a partir de la representación, legitimidad a partir de la ley, espíritu a partir de la letra, la palabra a través de la palabra. Este ensayo examina la emergencia histórica de este exceso de democracia en el período revolucionario, y cómo este habilita a una subsecuente historia de "momentos constituyentes", momentos cuando subautorizados -radicales, entidades autocreadas-, se apoderan del manto de la autoridad, cambiando las reglas de la autoridad en ese proceso. Estos pequeños dramas de reclamos de autoridad política para hablar en nombre del pueblo son felices, aun cuando explícitamente rompan con los procedimientos o reglas estatuidas para representar la voz popular. -/- Momentos constituyentes: paradojas y poder popular en los Estados Unidos de América posrevolucionarios [traducción], Revista Argentina de Ciencia Política, N°15, EUDEBA, Buenos Aires, Octubre 2012, pp. 49-74. ISSN: 0329-3092. Introducción de “Constituent Moments: Enacting the People in Postrevolutionary America”, de Jason Frank [Ed.: Duke University Press Books, enero de 2010. ISBN-10: 0822346753; ISBN-13: 978-0822346753]. (shrink)
Prescriptive political and moral theories contain ideas about what human beings are like and about what, correspondingly, is good for them. Conceptions of human “nature” and corresponding human good enter into normative argument by way of support and justification. Of course, it is logically open for the ratiocinative traffic to run the other way. Strongly held convictions about the rightness or wrongness, goodness or badness, of certain social institutions or practices may help condition and shape one's responses to one or (...) another set of propositions about what people are like and what, in consequence, they have reason to value. (shrink)
Wind, water, and molten rock constantly tear apart and resculpt the natural world we live in, and people have always struggled to create structures that will permanently establish their existence on the land. Frank Golhke has committed his camera lens to documenting that fraught relationship between people and place, and this retrospective collection of his work by John Rohrbach reveals how people carve out their living spaces in the face of constant natural disruption. An acclaimed master of landscape photography, (...) Golhke explores in Accommodating Nature how people configure the places where they live, work, and commune, both on an everyday level and in the aftermath of catastrophic destruction. Whether a ranch house anchored fast on an endless Texas plain, the shattered buildings and whipped trees left by a category 5 tornado, or the jagged cliffs of ash and rock created by the volcanic eruption of Mount St. Helens, the photographs unearth the ways in which new homes and lives emerge from the fragments of the old. Thought-provoking essays by Rebecca Solnit, Frank Gohlke, and John Rohrbach expand upon the issues raised by the images, contemplating the complexities of human and cultural geography and the relationships we have with our respective place. An arresting and vibrant visual essay combining magnificent vistas with intimate emotional detail, Accommodating Nature exposes the intricate threads that bind our lives to the land surrounding us. (shrink)
Frank A. Lewis presents a close study of book Zeta of Aristotle's Metaphysics, one of his most dense and controversial texts, commonly understood to contain his deepest thoughts on the definition of substance and related metaphysical issues. Lewis argues that Aristotle returns to the causal view of primary substance from his Posterior Analytics.
At the most general level I am interested in how we come to make sense of the world around us. Much of this research involves asking how intuitive explanations and understandings emerge in development and how they are related to notions of cause, mechanism and agency. These relations are linked to broader questions of what concepts are, how they change with development and increasing expertise and how they are structured in adults.
If any student, graduate or advanced undergraduate, should offer to delve deeper than survey samples and seriously “take on” the Transcendentalists, he or she would be well advised to begin with the histories by Barbara Packer and Philip Gura. For that matter, these sharply differing studies will undoubtedly provoke and clarify the thinking of even the most seasoned scholars, especially if they were to read these works against each other. The more specialized though no less interesting monograph by Elisabeth Hurth, (...) which is not offered as an introductory overview, nevertheless comprises a fully imagined history in its own right, as it places Transcendentalism in the context of crucial nineteenth-century German innovations in Protestant thought, and of the American movement's thence-derived tendency—as its critics alleged—to “atheism.” These three books, as a group, raise interesting questions about how literary history is now being written, what purposes such studies can serve, what coherence “Transcendentalism” might yet retain as a subject of useful historical inquiry, and what kind of importance the movement might have for readers today. (shrink)
I'm pleased to have been offered the chance of replying to Joseph Frank's criticisms . He is a courteous opponent, though capable of a certain asperity. . . . Frank complains that his critics appear incapable of attending to what he really said in his original essay. It is the blight critics are born for; and it is undoubtedly sometimes caused by the venal haste of reviewers, and sometimes by native dullness, and sometimes by malice. But there are (...) other reasons why an author may sometimes feel himself to be misrepresented. One is that a genuinely patient and intelligent reader may be more interested in what the piece under consideration does not quite say than in what is expressly stated. Another is the consequence of fame. Frank's original article is over thirty years old; it crystallised what had been for the most part vague notions, ideas that were in the air, and gave them a memorable name. "Spatial form" entered the jargon of the graduate school and began an almost independent existence. The term might well be used by people who had never read the essay at all; or they might casually attribute to him loose inferences made by others from the general proposition—inferences he had already disallowed and now once more contests. It must be difficult, particularly for an exasperated author, to distinguish between these causes of apparent misrepresentation. But sometimes it can be done; and then it will appear that the effect of the first is far more interesting than that of the second cause. For the suggestion then must be that the author has repressed a desire to take a position which, in his manifest argument, he differentiates from his own. This, as it happens, is what he advances as an explanation of certain ambiguities in my Sense of an Ending; the least one can say is that it is perfectly possible. Frank Kermode is the author of The Sense of an Ending: Studies in the Theory of Fiction, Continuities, and Shakespeare, Spenser, Donne: Renaissance Essays; his works also include The Classic and The Genesis of Secrecy. His contributions to Critical Inquiry are "Novels: Recognition and Deception" , "A Reply to Denis Donoghue" , and "Secrets and Narrative Sequence". (shrink)
In what follows I argue for two interrelated theses: that early Buddhism is not a form of empiricism, and that consequently there is no basis for an early Buddhist apologetic which contrasts an empirical early Buddhism with either a metaphysical Hinduism on the one hand, or with a baseless Christianity on the other.
This paper argues that God may create and exist in any possible world, no matter how much suffering of any sort that world includes. It combines the traditional free will defence with the notion of an ‘occasion’ for good or evil action and limits God's responsibility to the creation of these occasions. Since no possible world contains occasions for more evil than good action, God is morally permitted to create any possible world. With regard to suffering that is not due (...) to free will, namely the suffering of beings who are not moral agents, the paper questions the idea that the relief of such suffering is a moral perfection. (shrink)
We make a huge variety of claims framed in vocabularies drawn from physics and chemistry, everyday talk, neuroscience, ethics, mathematics, semantics, folk and professional psychology, and so on and so forth. We say, for example, that Jones feels cold, that Carlton might win, that there are quarks, that murder is wrong, that there are four fundamental forces, and that a certain level of neurological activity is necessary for thought. If we follow Huw Price's Carnapian lead, we can put this by (...) saying that we make many claims in many different frameworks. (shrink)
Wind, water, and molten rock constantly tear apart and resculpt the natural world we live in, and people have always struggled to create structures that will permanently establish their existence on the land. Frank Golhke has committed his camera lens to documenting that fraught relationship between people and place, and this retrospective collection of his work by John Rohrbach reveals how people carve out their living spaces in the face of constant natural disruption. An acclaimed master of landscape photography, (...) Golhke explores in _Accommodating Nature_ how people configure the places where they live, work, and commune, both on an everyday level and in the aftermath of catastrophic destruction. Whether a ranch house anchored fast on an endless Texas plain, the shattered buildings and whipped trees left by a category 5 tornado, or the jagged cliffs of ash and rock created by the volcanic eruption of Mount St. Helens, the photographs unearth the ways in which new homes and lives emerge from the fragments of the old. Thought-provoking essays by Rebecca Solnit, Frank Gohlke, and John Rohrbach expand upon the issues raised by the images, contemplating the complexities of human and cultural geography and the relationships we have with our respective place. An arresting and vibrant visual essay combining magnificent vistas with intimate emotional detail, _Accommodating Nature_ exposes the intricate threads that bind our lives to the land surrounding us. (shrink)
Frank Jackson champions the cause of conceptual analysis as central to philosophical inquiry. In recent years conceptual analysis has been undervalued and widely misunderstood, suggests Jackson. He argues that such analysis is mistakenly clouded in mystery, preventing a whole range of important questions from being productively addressed. He anchors his argument in discussions of specific philosophical issues, starting with the metaphysical doctrine of physicalism and moving on, via free will, meaning, personal identity, motion, and change, to ethics and the (...) philosophy of color. In this way the book not only offers a methodological program for philosophy, but also casts new light on some much-debated problems and their interrelations. (shrink)
This book presents the theory of the validity of legal norms, aimed at the practice of law, in particular the jurisdiction of the constitutional courts. The postpositivist concept of the validity of statutory law, grounded on a critical analysis of the basic theories of legal validity elaborated up to now, is introduced. In the first part of the book a contemporary German nonpositivist conception of law developed by Ralf Dreier and Robert Alexy is analysed in order to answer the question (...) whether the juristic concept of legal validity should include moral standards or criteria. In the second part, a postpositivist concept of legal validity and an innovative model of validity discourse, based on the juristic presumption of the validity of legal norms, are proposed. The book is a work on analytical legal theory, written from a postpositivist, detached point of view. (shrink)
Wittgenstein has a remark in which he admonishes us to remember that not everything which is expressed in the language of information belongs to the language game of giving information. In this paper I want to illustrate how the language of information may be used to disguise the character of the interest we take in social life, an interest whose candid and undisguised manifestations are to be found in literature.
His discussion of aesthetics was mingled in a curious way with criticism of assumptions which he said were made by Frazer in The Golden Bough and also with criticisms of Freud ’.
Recently Steven E. Boër gave another turn to the discussion of the free will defence by claiming that the free will defence is irrelevant to the justification of moral evil. Conceding that free will may be of real value, Boër claims that free will could have been allowed creatures without that leading to any moral evil at all. What I shall hereafter refer to as the ‘Boër reform’ is the suggestion that God could have allowed creatures to exercise free choices (...) but have intervened with ‘coincidence miracles’ to prevent all the intended evil from actually occurring. What is important to the free will defence, according to Boër, is the ability to choose freely and not the ability to succeed in effecting what we have intended to accomplish. It is no intrusion on the freedom of our wills for God to prevent us from accomplishing what we tried to do with our free wills as long as we were free to try. (shrink)
The study is an intercultural comparison of the theory of reasoned action and the theory of planned behavior to predict students’ intentions for academic cheating. The sample included university students from 7 countries: Poland, Ukraine, Romania, Turkey, Switzerland, United States, and New Zealand. Across countries, results show that attitudes, perceived behavioral control, and moral obligation predict students’ intentions to engage in academic dishonesty in the form of cheating. The extended modified version of the theory of planned behavior emerged as the (...) best explanatory model predicting intentions to cheat. Significant cross-cultural differences were found and discussed. (shrink)
_Language, Names, and Information_ is an important contribution to philosophy of language by one of its foremost scholars, challenging the pervasive view that the description theory of proper names is dead in the water, and defending a version of the description theory from a perspective on language that sees words as a wonderful source of information about the nature of the world we live in. Challenges current pervasive view that the description theory of reference for proper names has been refuted (...) Discusses several topics at the center of current debates, including representation and information, two-dimensionalism, possible worlds, and broad vs. narrow content Maintains the conversational and somewhat informal tone of the original lectures upon which the book is based. (shrink)
Frank Ramsey was the greatest of the remarkable generation of Cambridge philosophers and logicians which included G. E. Moore, Bertrand Russell, Ludwig Wittgenstein and Maynard Keynes. Before his tragically early death in 1930 at the age of twenty-six, he had done seminal work in mathematics and economics as well as in logic and philosophy. This volume, with a new and extensive introduction by D. H. Mellor, contains all Ramsey's previously published writings on philosophy and the foundations of mathematics. The (...) latter gives the definitive form and defence of the reduction of mathematics to logic undertaken in Russell and Whitehead's Principia Mathematica; the former includes the most profound and original studies of universals, truth, meaning, probability, knowledge, law and causation, all of which are still constantly referred to, and still essential reading for all serious students of these subjects. (shrink)
In Brennan and Democracy, a leading thinker in U.S. constitutional law offers some powerful reflections on the idea of "constitutional democracy," a concept in which many have seen the makings of paradox. Here Frank Michelman explores the apparently conflicting commitments of a democratic governmental system where key aspects of such important social issues as affirmative action, campaign finance reform, and abortion rights are settled not by a legislative vote but by the decisions of unelected judges. Can we--or should we--embrace (...) the values of democracy together with constitutionalism, judicial supervision, and the rule of law? To answer this question, Michelman calls into service the judicial career of Supreme Court Justice William Brennan, the country's model "activist" judge for the past forty years. Michelman draws on Brennan's record and writings to suggest how the Justice himself might have understood the judiciary's role in the simultaneous promotion of both democratic and constitutional government.The first chapter prompts us to reflect on how tough and delicate an act it is for the members of a society to attempt living together as a people devoted to self-government. The second chapter seeks to renew our appreciation for democratic liberal political ideals, and includes an extensive treatment of Brennan's judicial opinions, which places them in relation to opposing communitarian and libertarian positions. Michelman also draws on the views of two other prominent constitutional theorists, Robert Post and Ronald Dworkin, to build a provocative discussion of whether democracy is best conceived as a "procedural" or a "substantive" ideal. (shrink)
Frank Ramsey was a brilliant Cambridge philosopher, mathematician, and economist who died in 1930 at 26 having made landmark contributions to decision theory, game theory, mathematics, logic, semantics, philosophy of science, and the theory of truth. This rich biography tells the story of his extraordinary life and intellectual achievement.
In this volume, fourteen scholars, many of them contemporaries of Professor Frank, engage with his legacy with important and seminal works which take some of ...
I submit as a good rule of thumb that if a discussion of any major philosophical position or proposition ends with the conclusion that that position or proposition is ‘absurd’ or ‘meaningless’ then a mistake has been made in the discussion. The mistake often turns out to be the accuser's failure to appreciate precisely what the position being attacked really is.