We begin with the history of the discovery of computability in the 1930’s, the roles of Gödel, Church, and Turing, and the formalisms of recursive functions and Turing automatic machines . To whom did Gödel credit the definition of a computable function? We present Turing’s notion [1939, §4] of an oracle machine and Post’s development of it in [1944, §11], [1948], and finally Kleene-Post [1954] into its present form. A number of topics arose from Turing functionals including continuous functionals on (...) Cantor space and online computations. Almost all the results in theoretical computability use relative reducibility and o-machines rather than a-machines and most computing processes in the real world are potentially online or interactive. Therefore, we argue that Turing o-machines, relative computability, and online computing are the most important concepts in the subject, more so than Turing a-machines and standard computable functions since they are special cases of the former and are presented first only for pedagogical clarity to beginning students. At the end in §10–§13 we consider three displacements in computability theory, and the historical reasons they occurred. Several brief conclusions are drawn in §14. (shrink)

Much modern scholarship on Delphic oracles has revolved around the question of authenticity, where authenticity implies it is a fact that there was a consultation of the Delphic oracle, that a response was given and that the account of these events reports the occasion of the consultation and the response verbatim. This article challenges the usefulness and validity of this definition on two grounds. First, there is ample evidence that most Delphic oracles circulated orally for at least a (...) generation before being recorded in writing. Therefore, Delphic oracles should be examined through what we know about orality from Homeric studies. Second, all six hundred or so oracles attributed to Delphi are fulfilled. This observation suggests that Delphic tales are religious testimonia and should be read for what they tell us about the beliefs, though not necessarily the facts and details, of the communities who circulated them. This article, then, both provides an alternate definition of authenticity that takes into account the oral transmission of these tales by communities of believers and comments on the nature of the historical evidence these tales provide. (shrink)

Karl Giberson and Mariano Artigas offer an informed analysis on the views of Stephen Jay Gould, Richard Dawkins, Edward O. Wilson, Carl Sagan, Stephen Hawking and Steven Weinberg; carefully distinguishing science from philosophy and religion in the writings of the oracles.

Groundhog Day animal weather forecasting ceremonies continue to proliferate around the United States despite a lack of public confidence in the oracles. This essay probes religio-historical and original ethnographic perspectives to offer a psychological argument for why these ceremonies exist. Employing Paul Shepard's notion of a felt loss of sacred, intimate relationships with nonhuman nature, as well as Peter Homans's concept of the monument that enables mourning, this essay argues that groundhog oracles serve as monuments that allow humans (...) experientially to attempt to heal lost sacred relationships with animals like weather forecasting bears, hedgehogs, and badgers. (shrink)

Apollo's oracle gives specific instructions concerning the treatment of the murderer of Laius. Oedipus issues an edict of excommunication and bindshimself under a curse. I wish to examine the relationship between these three pronouncements as they occur initially and as they are used throughout the play. The basis of what I have to say is tentative in that it consists in a particular interpretation of Oedipus' addres, 216 ff., and in the assumption that Sophocles employed a distinction between an edict, (...) that is a secular command of the kingas governing authority, and a curse which, once pronounced, is felt to operate independently. However, both the interpretation and the assumption are farfrom arbitrary, and if they are acceptable the resulting analysis reveals whatmight be called Sophocles' creative use of past episodes. The terms of the oraclegive way to an edict of excommunication, and this in turn, becomes the contentof a curse which initially had a different content. (shrink)

Apollo's oracle gives specific instructions concerning the treatment of the murderer of Laius. Oedipus issues an edict of excommunication and bindshimself under a curse. I wish to examine the relationship between these three pronouncements as they occur initially and as they are used throughout the play. The basis of what I have to say is tentative in that it consists in a particular interpretation of Oedipus' addres, 216 ff., and in the assumption that Sophocles employed a distinction between an edict, (...) that is a secular command of the kingas governing authority, and a curse which, once pronounced, is felt to operate independently. However, both the interpretation and the assumption are farfrom arbitrary, and if they are acceptable the resulting analysis reveals whatmight be called Sophocles' creative use of past episodes. The terms of the oraclegive way to an edict of excommunication, and this in turn, becomes the contentof a curse which initially had a different content. (shrink)

Étude de la réception de Fontenelle dans l'Encyclopédie qui démontre que celui-ci joue un rôle important à titre de figure tutélaire pour les encyclopédistes, à titre de penseur des progrès de l'esprit humain. -/- Study of Fontenelle's reception in the Encyclopédie, showing that he plays an important role as an authority for the encyclopedists, as a thinker of the progress of human mind.

We focus on how we should define the relevance of information to a context for information processing agents, such as oracles. We build our formalization of relevance upon works in pragmatics which refer to contextual information without giving any explicit representation of context. We use a formalization of context (due to us) in Situation Theory, and demonstrate its power in this task. We also discuss some computational aspects of this formalization.

Cet article a pour but d’offrir un bilan clair des connaissances archéologiques actuelles sur l’aménagement intérieur du temple d’Apollon à Delphes, où se déroulait la consultation de l’oracle. Trois temples (au moins) se sont succédé à Delphes. Le premier fut détruit en 548 av. n.è. Le second, achevé avant l’an 500, fut détruit dans les années 370. Le troisième, terminé vers 330, vécut jusqu’à l’Antiquité tardive. On ne possède aucune donnée archéologique sur l’aménagement intérieur des deux premiers. Le troisième est (...) un peu moins mal connu, grâce aux travaux récents de P. Amandry et E. Hansen. La cella était divisée en deux parties inégales par une barrière ou une cloison dont on ne sait si elle était assez haute pour arrêter la vue. La seconde partie de la cella, où devait se trouver l’adyton, n’était que partiellement dallée : il faut imaginer un sol en terre battue, mais au même niveau que les dallages, sans local souterrain. (shrink)

John Calvin claims that the foundation of Scripture is the oracles and visions revealed to the patriarchs, transmitted through countless generations by an oral tradition that faithfully preserved these oracles. The oral tradition of the patriarchs also contains practices not found in written Scripture that are applicable to the church of Calvin day.

La présente étude propose une lecture « à la verticale » des vers homériques composant l’Ὁμηρομαντεῖον du Papyrus de Londres 121, au-delà du mode d’emploi interactif selon lequel fonctionne ce texte. Outre le recours à un stock de vers homériques circulant de façon relativement autonome dans le monde érudit, l’étude des critères de sélection des vers composant ce passage révèle un effort conscient d’y reproduire les caractéristiques de la littérature oraculaire : caractère gnomique ou proverbial, obscurité, ton instructif et offensant, (...) etc. Tirés des discours des dieux ou de leurs élus, ces vers/oracles introduisent le questionneur dans une relation intime avec le divin tout en lui proposant des modèles de comportement moyennant les figures de Diomède ou d’Ulysse. Or, dans l’Oracle…, tout comme dans l’Iliade, Diomède paraît en quête d’un juste équilibre entre les maîtres du jeu, à savoir Athéna et Apollon. (shrink)

Manipulés par les puissances hégémoniques, les sanctuaires oraculaires auraient rendu des oracles intéressés, et du même coup ambigus pour laisser aux consultants toute la responsabilité de leurs erreurs d’interprétation. Un coup d’œil aux réponses conser­vées dans les sources contemporaines des faits suffit pour se convaincre du contraire. De plus, il existe une tradition méconnue qui contredit le topos de l’ambiguïté volontaire : la seconde consultation du même sanctuaire pour préciser un oracle rendu. On trouve d’abondants exemples, privés et publics, (...) fictifs et réels, sur tous les sujets possibles, de l’archaïsme à la période romaine, à Delphes, Didymes et Dodone, entre autres. Qui plus est, et même dans les cas légendaires ou rapportés longtemps après les faits, la seconde consultation n’est presque jamais la conséquence de l’ambiguïté de la première réponse.It is often argued that Greek oracular sanctuaries provided self-interested answers, and that they were manipulated by hegemonic States. Hence, those oracles would have been ambiguous in the responses they gave and would have left the responsibility for any wrong interpretation to the person consulting them. In fact, a quick look at the preserved oracular responses reported by contemporary sources proves the opposite. Furthermore, there is a little-known tradition, which contradicts the topos of intentional ambiguity, i.e. a second consultation in the same sanctuary in order to clarify the first response given by an oracle. Many examples, private and public, fictitious and real, on all possible topics, from the archaic to the Roman period, exist at Delphi, Didyma and Dodona, among other places. Even in the legendary cases, or in those reported long after the fact, the second consultation is almost never prompted by the ambiguity of the first answer. (shrink)

The need for foreknowledge intensifies and a prophetic promise of today’s palm readers causes us wet palms: letting the world speak for itself. Big Data comes with the promise of enabling people to listen to that speaking world and of gaining accurate foreknowledge by Big Data predictions. The uncertainty of our modern, complex world overstrains our present coping capabilities, causing a feeling of slipping off a slippery slope, which in turn causes a need for increasing our own foreknowledge. Part of (...) the Big Data promise is to grant better foreknowledge by overcoming the wrongness of scientific theory or causation assumptions. But thus, people have no other option than to believe in these results and perform their actions in good faith. This makes Big Data based outcomes a matter of faith. This article argues that Big Data based outcomes can be seen as today’s oracle, as prophecies without prophets and reflects on the consequences of that perspective. (shrink)

"Explores the relationships between science and other societal sectors, notably law, religion, government and public culture, in terms of the concepts of expert and moral authority"--Provided by publisher.

We investigate the connection between interference and computational power within the operationally defined framework of generalised probabilistic theories. To compare the computational abilities of different theories within this framework we show that any theory satisfying four natural physical principles possess a well-defined oracle model. Indeed, we prove a subroutine theorem for oracles in such theories which is a necessary condition for the oracle model to be well-defined. The four principles are: causality, purification, strong symmetry, and informationally consistent composition. Sorkin (...) has defined a hierarchy of conceivable interference behaviours, where the order in the hierarchy corresponds to the number of paths that have an irreducible interaction in a multi-slit experiment. Given our oracle model, we show that if a classical computer requires at least n queries to solve a learning problem, because fewer queries provide no information about the solution, then the corresponding “no-information” lower bound in theories lying at the kth level of Sorkin’s hierarchy is \. This lower bound leaves open the possibility that quantum oracles are less powerful than general probabilistic oracles, although it is not known whether the lower bound is achievable in general. Hence searches for higher-order interference are not only foundationally motivated, but constitute a search for a computational resource that might have power beyond that offered by quantum computation. (shrink)

Earlier, we have studied computations possible by physical systems and by algorithms combined with physical systems. In particular, we have analysed the idea of using an experiment as an oracle to an abstract computational device, such as the Turing machine. The theory of composite machines of this kind can be used to understand (a) a Turing machine receiving extra computational power from a physical process, or (b) an experimenter modelled as a Turing machine performing a test of a known physical (...) theory T.Our earlier work was based upon experiments in Newtonian mechanics. Here we extend the scope of the theory of experimental oracles beyond Newtonian mechanics to electrical theory. First, we specify an experiment that measures resistance using a Wheatstone bridge and start to classify the computational power of this experimental oracle using non-uniform complexity classes. Secondly, we show that modelling an experimenter and experimental procedure algorithmically imposes a limit on our ability to measure resistance by the Wheatstone bridge.The connection between the algorithm and physical test is mediated by a protocol controlling each query, especially the physical time taken by the experimenter. In our studies we find that physical experiments have an exponential time protocol; this we formulate as a general conjecture. Our theory proposes that measurability in Physics is subject to laws which are co-lateral effects of the limits of computability and computational complexity. (shrink)

Earlier, we have studied computations possible by physical systems and by algorithms combined with physical systems. In particular, we have analysed the idea of using an experiment as an oracle to an abstract computational device, such as the Turing machine. The theory of composite machines of this kind can be used to understand (a) a Turing machine receiving extra computational power from a physical process, or (b) an experimenter modelled as a Turing machine performing a test of a known physical (...) theory T. Our earlier work was based upon experiments in Newtonian mechanics. Here we extend the scope of the theory of experimental oracles beyond Newtonian mechanics to electrical theory. First, we specify an experiment that measures resistance using a Wheatstone bridge and start to classify the computational power of this experimental oracle using non-uniform complexity classes. Secondly, we show that modelling an experimenter and experimental procedure algorithmically imposes a limit on our ability to measure resistance by the Wheatstone bridge. The connection between the algorithm and physical test is mediated by a protocol controlling each query, especially the physical time taken by the experimenter. In our studies we find that physical experiments have an exponential time protocol, this we formulate as a general conjecture. Our theory proposes that measurability in Physics is subject to laws which are co-lateral effects of the limits of computability and computational complexity. (shrink)

We exhibit a family of computably enumerable sets which can be learned within polynomial resource bounds given access only to a teacher but which requires exponential resources to be learned given access only to a membership oracle. In general, we compare the families that can be learned with and without teachers and oracles for four measures of efficient learning.

Maria Lugones and other writers of post-colonial discourse emphasize hybrid over univocal identities. I argue that a significantly expanded version of Mikhail Bakhtin’s notion of “dialogized heteroglossia” reveals that the linguistic community and the “voives” at play in the latter constitute a form of dialogic hybridity. This view of the linguistic community offers an alternative to the notion of pure identities and the politics of exclusion that it has supported either overtly or tacitly. Moreover, a political principle - “the interplay (...) of equally audible voices” - can be derived from this view; it permits us simultaneously to affirmmulticulturalism and to deny racism, sexism, classism and other exclusionary discourses the right to become policy-making voices.Maria Lugones et d’autres théoriciens du discours post-colonial mettent l’accent sur les identités hybrides par opposition à univoques. Je soutiens qu’une version significativement plus large de la notion bakhtinienne d’“hétéroglossie dialogisée” fait ressortir que la communauté linguistique et les “voix” en jeu dans cette dernière constituent une forme d’hybridité dialogique. Cette conception de lacommunauté linguistique offre une alternative à la notion d’identité pure et à la politique d’exclusion qu’elle a défendue, ouvertement ou de façon tacite. De plus, un principe politique - “le jeu de voix audibles au même degré” - peut être tiré de cette conception, lequel permettrait à la fois d’affirmer le multiculturalisme et d’empêcher que le racisme, le sexisme, le classicisme et tout autre discours d’exclusion puissent devenir des voix qui déterminent fes pofitiques du jour. (shrink)

Claims about freedom and predestination are ubiquitous in movies, novels, and myths. These claims touch upon the philosophical problem of the compatibility of free will and determination. In order to make an informed judgment about whether these claims are true, it is helpful to know what philosophers have to say about free will. However, philosophical discussions are usually absent in popular culture. It is perhaps no wonder, since free will is a topic that has been discussed for millennia. Consequently, these (...) discussions have become quite complicated and not easy to decipher. This essay is a popular introduction to these discussions, accessible to readers without former acquaintance with the topic. I provide references to other works for readers interested in knowing more. My aim is to show that while there are persuasive arguments against free will, there are no fewer persuasive replies to these arguments. Free will is a fascinating topic, and I hope that acquaintance with the relevant philosophical discussion will prove useful for those who wonder if anyone is free to create their own destiny. (shrink)

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