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.

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)

Let ≤r and ≤sbe two binary relations on 2ℕ which are meant as reducibilities. Let both relations be closed under finite variation and consider the uniform distribution on 2ℕ, which is obtained by choosing elements of 2ℕ by independent tosses of a fair coin.Then we might ask for the probability that the lower ≤r-cone of a randomly chosen set X, that is, the class of all sets A with A ≤rX, differs from the lower ≤s-cone of X. By c osure (...) under finite variation, the Kolmogorov 0-1 aw yields immediately that this probability is either 0 or 1; in case it is 1, the relations are said to be separable by random oracles.Again by closure under finite variation, for every given set A, the probability that a randomly chosen set X is in the upper ≤r-cone of A is either 0 or 1; let Almostr be the class of sets for which the upper ≤r-cone has measure 1. In the following, results about separations by random oracles and about Almost classes are obtained in the context of generalized reducibilities, that is, for binary relations on 2ℕ which can be defined by a countable set of total continuous functionals on 2ℕ in the same way as the usual resource-bounded reducibilities are defined by an enumeration of appropriate oracle Turing machines. The concept of generalized reducibility comprises a natura resource-bounded reducibilities, but is more general; in particular, it does not involve any kind of specific machine model or even effectivity. The results on generalized reducibilities yield corollaries about specific resource-bounded reducibilities, including several results which have been shown previously in the setting of time or space bounded Turing machine computations. (shrink)

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.

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)

When presented with a situation involving an agent’s choice between alternative actions, a moral oracle says what the agent is allowed to do. The oracle bases her advice on some moral theory, but the nature of that theory is not known by us. The moral oracle’s test consists in determining whether a series of questions to the oracle can be so constructed that her answers will reveal which of two given types of theories she adheres to. (...) The test can be applied to moral theories in order to determine if they differ in their recommendations for action. Based on this test, a terminology is developed to specify different forms and degrees of distinguishability between moral theories, or types of theories, in terms of their recommendations for action. In conclusion, the test is applied to consequentialism and utilitarianism. (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)

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)

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)

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)

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)

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 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.

This paper presents the design and development of intelligent tutoring system for teaching Oracle. The Oracle Intelligent Tutoring System (OITS) examined the power of a new methodology to supporting students in Oracle programming. The system presents the topic of Introduction to Oracle with automatically generated problems for the students to solve. The system is dynamically adapted at run time to the student’s individual progress. An initial evaluation study was done to investigate the effect of using the (...) intelligent tutoring system on the performance of students. (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)

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)

This article is currently available as a free download on ingentaconnect.

In this contribution to an exchange of views about “lyric philosophy,” the author argues that the philosopher-poet Jan Zwicky, beginning as early as her dissertation at the University of Toronto, has championed the nonlogical, including the ineffable, the oracular, and the mystical, and that more recently those concerns have merged in a more focused way in her attention to ecological issues. The impulse to fix philosophy and the environment depends in her work mainly on further linguistic statements and declarations, and (...) on occasional overt rejections of traditional political remedies. Thus, the audience for her campaign against analytic philosophy, for example, does not seem to reach beyond the walls of higher education in North America. Zwicky has aligned herself with an esoteric philosophical tradition that has sought to achieve its aims covertly — meaning, for one thing, that it becomes difficult to measure the success of those aims, since they are deliberately meant to be unavailable to public scrutiny. Those aims are not dependent on the general populace's involvement or engagement. Indeed, the author concludes, the general populace has been viewed consistently in the esoteric philosophical tradition as weak and resistant, if not hostile, to philosophical thought. (shrink)

Oracles and philosophy -- Oracles, allegory and mystery cults -- Debating oracles: pagan and Christian perspectives -- Debating oracles: Porphyry's letter to Anebo and Iamblichus' De mysteriis -- Divination, rationality and ritual in neoplatonism -- Divination inspiration, possession and contact with the gods in Iamblichus' De mysteriis -- Divination and theurgy in Iamblichus' De mysteriis -- Manifesting the gods: oracles as symbola.

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)

Babylonian Oracle Questions. By W. G. Lambert. Mesopotamian Civilizations, vol. 13. Winona Lake, Ind.: Eisenbrauns, 2007. Pp. xiv + 216, plates. $49.50.

Inductive inference considers two types of queries: Queries to a teacher about the function to be learned and queries to a non-recursive oracle. This paper combines these two types — it considers three basic models of queries to a teacher (QEX[Succ], QEX[ The results for each of these three models of query-inference are the same: If an oracle is omniscient for query-inference then it is already omniscient for EX. There is an oracle of trivial EX-degree, which allows (...) nontrivial query-inference. Furthermore, queries to a teacher cannot overcome differences between oracles and the query-inference degrees are a proper refinement of the EX-degrees. In the case of finite learning, the query-inference degrees coincide with the Turing degrees. Furthermore oracles can not close the gap between the different types of queries to a teacher. (shrink)

The Half-Life of Oracles speaks from a way-station between mortals and immortals, a place where the strangeness of daily life meets the intimacy of distant ages. These are poems in which the living and the dead play endless games of musical chairs, emperors and philosophers wage war against rivers, and dusty incantations for achieving immortality are reborn as pick-up lines. By turns tender and thundering, capable of calling the gods down from Olympus if necessary, The Half-Life of Oracles charts with (...) lucidity and intensity the cross-pollination of memory and myth. (shrink)

In order for Bayesian inquiry to count as objective, one might argue that it must lead to a consensus among those who use it and share evidence, but presumably this is not enough. It has been proposed that one should also require that the consensus be reached from very different initial opinions by conditioning only on basic experimental evidence, evidence free from subjective, social, or psychological influence. I will argue here, however, that this notion of objectivity in Bayesian inquiry is (...) too narrow. (shrink)

La pratique de la divination, telle que Xénophon l’expose tout au long de l’Anabase, est la mise en œuvre d’un mode de communication avec les dieux qui peut emprunter des formes diverses, mais dont la principale est le sacrifice et l’observation des signes positifs ou négatifs, offerts par les victimes. Elle suppose une bienveillance de la divinité toujours prête, semble-t-il, à répondre aux questions posées par les hommes, dans le domaine public comme dans le privé, pourvu que ces questions soient (...) légitimes. Le reste de l’œuvre relève de la même conception, influencée par Socrate, comme le suggèrent les Mémorables, et trouve son origine dans la consultation de l’oracle de Delphes, au moment de son départ pour l’expédition organisée par Cyrus et qui deviendra l’expédition dite des Dix Mille.Divination, as described by Xenophon in the Anabasis, represents a means of communication with the gods, which can take several forms. The offer of a sacrifice is the first of these, with the observation of the signs given by the victims. This practice assumes that the gods are kind and that they are always ready to respond to questions posed by people either in public or in private, if these questions are legitimate. The same idea, influenced by Socrates, is found in all Xenophon’s works, as evidenced in the Memorabilia, beginning with Xenophon’s consultation of the Delphic oracle on joining Cyrus’ expedition, which would known as the “Ten Thousand” expedition. (shrink)