We study the phenomenon of merging of opinions for computationally limited Bayesian agents from the perspective of algorithmic randomness. When they agree on which data streams are algorithmically random, two Bayesian agents beginning the learning process with different priors may be seen as having compatible beliefs about the global uniformity of nature. This is because the algorithmically random data streams are of necessity globally regular: they are precisely the sequences that satisfy certain important statistical laws. By virtue of (...) agreeing on what data streams are algorithmically random, two Bayesian agents can thus be taken to concur on what global regularities they expect to see in the data. We show that this type of compatibility between priors suffices to ensure that two computable Bayesian agents will reach inter-subjective agreement with increasing information. In other words, it guarantees that their respective probability assignments will almost surely become arbitrarily close to each other as the number of observations increases. Thus, when shared by computable Bayesian learners with different subjective priors, the beliefs about uniformity captured by algorithmic randomness provably lead to merging of opinions. (shrink)

We explore the question of whether sustained rational disagreement is possible from a broadly Bayesian perspective. The setting is one where agents update on the same information, with special consideration being given to the case of uncertain information. The classical merging of opinions theorem of Blackwell and Dubins shows when updated beliefs come and stay closer for Bayesian conditioning. We extend this result to a type of Jeffrey conditioning where agents update on evidence that is uncertain but solid. (...) However, merging of beliefs does not generally hold for Jeffrey conditioning on evidence that is fluid. Several theorems on the asymptotic behavior of subjective probabilities are proven. Taken together they show that while a consensus nearly always emerges in important special cases, sustained rational disagreement can be expected in many other situations. (shrink)

Merging of opinions results underwrite Bayesian rejoinders to complaints about the subjective nature of personal probability. Such results establish that sufficiently similar priors achieve consensus in the long run when fed the same increasing stream of evidence. Initial subjectivity, the line goes, is of mere transient significance, giving way to intersubjective agreement eventually. Here, we establish a merging result for sets of probability measures that are updated by Jeffrey conditioning. This generalizes a number of different merging (...) results in the literature. We also show that such sets converge to a shared, maximally informed opinion. Convergence to a maximally informed opinion is a (weak) Jeffrey conditioning analogue of Bayesian “convergence to the truth” for conditional probabilities. Finally, we demonstrate the philosophical significance of our study by detailing applications to the topics of dynamic coherence, imprecise probabilities, and probabilistic opinion pooling. (shrink)

Bayesians often appeal to “merging of opinions” to rebut charges of excessive subjectivity. But what happens in the short run is often of greater interest than what happens in the limit. Seidenfeld and coauthors use this observation as motivation for investigating the counterintuitive short run phenomenon of dilation, since, they allege, dilation is “the opposite” of asymptotic merging of opinions. The measure of uncertainty relevant for dilation, however, is not the one relevant for merging of (...) opinions. We explicitly investigate the short run behavior of the metric relevant for merging, and show that dilation is independent of the opposite of merging. (shrink)

In this paper, we investigate the problem of truth approximation via belief merging, i.e., we ask whether, and under what conditions, a group of inquirers merging together their beliefs makes progress toward the truth about the underlying domain. We answer this question by proving some formal results on how belief merging operators perform with respect to the task of truth approximation, construed as increasing verisimilitude or truthlikeness. Our results shed new light on the issue of how rational (...) (dis)agreement affects the inquirers’ quest for truth. In particular, they vindicate the intuition that scientific inquiry, and rational discussion in general, benefits from some heterogeneity in opinion and interaction among different viewpoints. The links between our approach and related analyses of truth tracking, judgment aggregation, and opinion dynamics, are also highlighted. (shrink)

Shaftesbury's Characteristicks of Men, Manners, Opinions, Times is a collection of treatises on interconnected themes in moral philosophy, aesthetics, literature, and politics. It was immensely influential on eighteenth-century British taste and manners, literature, and thought, and also onthe Continental Enlightenment. The author was a Whig, a Stoic, and a theist, whose commitment to political liberty and civic virtue shaped all of his other concerns, from the role of the arts in a free state to the nature of the beautiful (...) and the good.This is the first new edition of Shaftesbury's Characteristicks as a coherent collection for almost a century. A substantial Introduction discusses Shaftesbury's works and ideas in the context of his times, and traces the reception and influence of his writings through the eighteenth century andbeyond. A full and scholarly commentary is provided, as well as a complete textual apparatus. The very thorough Index is Shaftesbury's own.The text is essentially that of the first edition of 1711, as marked up with changes by Shaftesbury himself in preparation for the posthumous second edition of 1714; and the striking emblematic engravings he commissioned especially for the second edition are incorporated. (shrink)

We approach the traditional problem of the relationship between opinion and truth, objects and appearances, from the standpoint and tools of logic of belief, combining an informal and technical approach. We describe and comment on some logics of individual concepts and modes of representation, and address the question of how to explain the possibility of a contradictory de re belief integrated with the corresponding non-contradictory de dicto belief. The QB logic is proposed, where the semantic problem is resolved (1) by (...) extending the framework and model domain with the domain of appearances, with a special S-accessibility relation among worlds, and with non-rigid interpretation of appearance names, as well as (2) redefining the concept of satisfaction (and truth), including the satisfaction of identity statements, by relativizing satisfaction to the difference between things and appearances and to the S-accessibility of different epistemic alternatives. In doing so, all worlds are classical within themselves, while inconsistency and incompleteness in beliefs stem from different ways of connecting (merging and separating) worlds in determining the satisfaction of a formula. (shrink)

Article is devoted to research of the views of the Algerian philosopher and Muslim intellectual Mālik Bin Nabī (1905-1973) and reviews his sociological, cultural, historical and philosophical ideas. In his works Mālik Bin Nabī was writing about human society, paying special attention to the reasons for the decline of Muslim civilization and raised the issue of the degree of necessity, ways and forms of perception of its achievements. The author points to the complex approach of the thinker to the problems (...) of the civilizational revival of the Muslim world in the context of the phenomenon of nahda ( al-Nahda ), the main problem of which was and remains the problem of relationship with Western civilization. According to M. Bin Nabī, both in political and social aspects, Nahda is conceptually connected with the Muslims’ search for their own identity and a way out of the crisis generated by long centuries of colonization. In its broad socio-cultural context al-Nahda implies an authentic way for Arabs to meet modernity and constitutes one of the main concepts aimed at achieving a way out of the crisis and a genuine revival of the Muslim world. He sees the ways of solving this problem through the expression of the social values of Islam, arising from the moral and ethical foundations of the Islamic religion, which, in his opinion, affect the restoration of Muslim identity in all realms of existence of the global universe. The thinker proposes a way for the productive revival of the Muslim world based on a harmonious synthesis in line with the merging of the achievements of Western philosophical rationalism and the Islamic religious heritage. In addition, in order to unite the efforts of the Afro-Asian peoples in the face of colonialism, the cultural and economic expansion of the West and the true revival, ultimately, of all the peoples of the East, M. Bin Nabī developed the concept of Afro-Asianism, in which he puts forward the tasks of a globalist scale, pursuing again revival goals. According to the ontological differentiation of M. Bin Nabī, present in the ratio of man, time, space, it has an Islamic basis. This aspect can play an important role in both positive and negative reorganization of the world by man. This situation is directly related to the issue of what meaning people give to the world, as well as the level of their responsibility for that. (shrink)

The problem of the aggregation of inputs coming from different sources arises in several contexts. Examples are the combination of individual preferences (studied in social choice theory), opinions (judgment aggregation), and data (artificial intelligence). While a number of results are available in each of these disciplines, a question that has been addressed only recently is how similar these aggregation problems are, despite the different types of inputs they try to combine.

This paper describes the construction method of a legal application ontology. This method is based on the merging of micro-ontologies built from European community directives. The terminae construction method from texts enhanced by an alignment process with a core legal ontology is used for building micro-ontologies. A merging process allows constructing the legal ontology.

From a socio-theoretical and media-theoretical perspective, this article analyses exemplary practices and structural characteristics of contemporary digital political campaigning to illustrate a transformation of the public sphere through the platform economy. The article first examines Cambridge Analytica and reconstructs its operational procedure, which, far from involving exceptionally new digital campaign practices, turns out to be quite standard. It then evaluates the role of Facebook as an enabling ‘affective infrastructure’, technologically orchestrating processes of political opinion-formation. Of special concern are various tactics (...) of ‘feedback propaganda’ and algorithmic-based user engagement that reflect, at a more theoretical level, the merging of surveillance-capitalist commercialization with a cybernetic logic of communication. The article proposes that this techno-economic dynamic reflects a continuation of the structural transformation of the public sphere. What Jürgen Habermas had analysed in terms of an economic fabrication of the public sphere in the 1960s is now advancing in a more radical form, and on a more programmatic basis, through the algorithmic architecture of social media. As the authors argue, this process will eventually lead to a new form of ‘infrastructural power’. (shrink)

A historical episode of evolutionary theory, which has lead to the Red Queen theory of the evolutionary maintenance of sex, includes two striking contingencies. These are used to explore alternative what-if scenarios, in order to test some common opinions about such counterfactuals. This sheds new light on the nature of science and its historiography. One counterfactual leads to an unexpected convergence of its result to that of the actual science but, nevertheless, differs in its causal structure. The other diverges (...) towards an incompatible alternative, but this requires further contingent choices that also diverge from actual science. -/- The convergence in the first counterfactual is due to a horizontal transfer of knowledge. Similar transfers of knowledge are typical for innovations of actual science. This suggests that contingent choices can merge as well as fork research traditions both in actual research and counterfactual history. Neither the paths of the actual history of science nor those of its counterfactual alternatives will form a tree of exclusively diverging bifurcations, but a network instead. Convergencies in counterfactuals may, therefore, be due to the web-structure of science as much as to the aims of the historians in question. Furthermore, the difference in causal structure between the actual science and its convergent counterfactual might become diagnostic for external factors rather than internal aims forcing a historian towards convergence. (shrink)

This paper is presented as a performance between the two authors who are discussing the notion of daydreaming as a transitional space between their research interests in dreams and the semantic associations of conscious thought. The first half concerns the logical, rational awake mind when applied to an understanding of daydreaming as a bridge between one state and another. It investigates the idea of the interactive interface as a parallel with the daydream where both enable a middle ground, or safe (...) space for crossing-over. The difficulty highlighted through the performative reading of the paper is to keep focus without slipping into the interstitial state of a daydream. The paper gently drifts towards the second half, which explores understanding of dreamstates and the neuroscientific models of the unconscious brain. (shrink)

In 2018, three journalists accused one of the Members of the Russian Parliament of harassment at workplace. Many influential persons of the Russian elite engaged themselves in the public discussion of the conflict. We studied that high-profiled discussion using a hybrid method merging human- and logic-oriented approaches in argumentation studies. The method develops ideas of the new dialectics, the argumentation logic and the logical-cognitive approach to argumentation, on which is based the algorithm for determining of dispute resolution by aggregating (...) formal and informal tools of analysis. We have reconstructed the discussion as two disputes about questions A and B. A: Did the MP violate the code of conduct by making statements or actions against the journalists? B: Are actions like the behavior of the MP harassment? The opinions of the discussion participants were grouped into the four points of view: A1 – the MP did not violate the code of conduct, A2 – the MP violated the code of conduct, B3 – the actions are not harassment, B4 – the actions are harassment. We mapped arguments in support or against each of them using OVA software, evaluated the arguments with the help of the critical questions, a tool proposed in the new dialectics, and determined the ultimate A + B resolution by applying of the algorithm that combines elements of gradual and labelling semantics from the argumentation logic and the classification of disputes from the dialectical approaches. The resolution was a subset of four arguments that ensured the victory of A1+B4. However, the substantial incompatibility of those arguments highlighted a deep disagreement, an unresolvable difference of opinion, between the parties about the permissibility of courtship. The deep disagreement, a bonus result yielded by the application of the hybrid method, excluded the interpretation of the determined resolution as convincing for the parties, but pointed out a way to smooth the difference of opinions by elaborating of legal, social and moral aspects of the problem of harassment at workplace. (shrink)

Bayʿ al-wafā is a fatwa issue (waqıʿat/nawazil) in the form of a legal solu-tion (hīla al sharʿiyyah), the legal nature of which was intensely debated by Central Asian Hanafi jurists. This contract appears to be a practice by which Muslim communities living in Central Asia, particularly in Bukhara and Samarkand, were able to conduct their debt relations without involving interest. The initial assessments regarding the legal nature of bayʿ al-wafā, for which there is no transmission from the founding imams, emerged (...) in the fatwas of Central Asian Hanafi scholars in the 4th/10th century. Subsequently, from this century, when the first examples of fatwa literature were penned, to the 6th/12th century, when the most advanced and influential examples were produced, there were many different opinions on the legal nature of this contract according to the Hanafī doctrine. In this study, based on the fatwa literature that emerged between these centuries, the chronological development of opinions on the legal nature of the bayʿ al-wafâ contract has been examined. Furthermore, this study also addresses the fundamental trends that have led to different assessments on the subject and identifies the subordinate and opposing views concerning it. (shrink)

John Stuart Mill advocated for increased interactions between individuals of dissenting opinions for the reason that it would improve society. Whether Mill and similar arguments that advocate for opinion diversity are valid depends on background assumptions about the psychology and sociality of individuals. The field of opinion dynamics is a burgeoning testing ground for how different combinations of sociological and psychological facts contribute to phenomena that affect opinion diversity, such as polarization. This paper applies some recent results from the (...) opinion dynamics literature to assess the impacts of the Millian suggestion. The goal is to understand how the scope of the validity of Mill-style arguments depends on plausible assumptions that can be formalized using agent-based models, a common modeling approach in opinion dynamics. The most salient insight is that homophily (increased interactions between like-minded individuals) does not sufficiently explain decreased opinion diversity. Hence, decreasing homophily by increasing interactions between individuals of dissenting opinions is not the simple solution that a Millian-style argument may advocate. (shrink)

A half-billion years ago, a few species of single-celled protozoa stumbled irreversibly from loose social interaction into a tight, specialized interdependence. They became multi-celled metazoa, and human beings are one sort. Metazoa greatly transcend their constituent cells in lifetime, abilities, experiences and even materials (like bone). New kind of beings emerged out of the interactions of the old.

Summary The author is of the opinion that as a result of Alexander the Great’s conquest of Syria, which had been a single administrative entity under the Achaemenids, it was divided into two satrapies – the northern and the southern one. He believes that Menon, son of Cerdimmas, was appointed as the first head of the northern satrapy, to be replaced by Arimmas, who, in his turn, was succeeded by Asclepiodorus, son of Eunicus. Besides, it seems that Andromachus became the (...) first head of the southern satrapy, and after he was killed, Menon, transferred from the north to the south, took his place. Already in Alexander’s lifetime, probably in 329/328, Syria was once again merged into one satrapy. It is unclear who was installed as satrap of the unified region. At any rate, it could not have been Menes, son of Dionysius: the hypothesis that in winter 331/330 he was made satrap of the new province including Syria and Cilicia does not stand scrutiny. In the author’s view, the main task Alexander assigned to Menes was to take control and then to keep open and organized the sea communications with the coast of Syria, Phoenicia and Cilicia, and in the matters concerning these activities Menes was fully independent of the local satraps. (shrink)

Dung’s argumentation frameworks have been applied for over twenty years to the analysis of argument justification. This representation focuses on arguments and the attacks among them, abstracting away from other features like the internal structure of arguments, the nature of utterers, the specifics of the attack relation, etc. The model is highly attractive because it reduces most of the complexities involved in argumentation processes. It can be applied to different settings, like the argument evaluation of an individual agent or the (...) case of dialectic disputes between two agents (pro and con), or even in multi-agent collective argumentation. The latter case involves agents with possibly different arguments and/or opinions on how to evaluate them, leading to the possibility of considering multiple sets of arguments and attack relations. Two basic questions can be asked here, namely ‘what to aggregate’ and ‘how to aggregate’. The former concerns what kinds of entities do the agents intend to choose (arguments, attacks, assessments, etc.), while the second one focuses on which aggregation mechanisms yield rational choices (voting on arguments, merging procedures to obtain a common argumentation framework, deliberation processes, etc.). In particular, the question about the rationality of a collective argument choice relates this topic to Social Choice and Judgment Aggregation theories, while its associated strategic issues relate it to Game Theory. The research efforts on the disparate problems elicited by collective argumentation have generated a considerable corpus of literature that deserves an orderly evaluation. This survey is intended as a contribution to that end. (shrink)

Cet article propose de faire dialoguer Adorno et Bourdieu en explorant certains de leurs textes sur l’opinion personnelle, l’opinion publique et le sondage d’opinion. À partir de leurs réflexions respectives concernant ces phénomènes socialement interdépendants, il s’agit de mettre en relief ce qui rapproche et distingue ces deux penseurs. En examinant d’abord la question de l’intériorisation de la domination par les acteurs sociaux, puis la production sociale et médiatique d’opinions et d’habitus communs, et enfin la consolidation a-critique de ces (...) derniers occasionnée par certains présupposés propres aux sondages d’opinion, l’article analyse trois niveaux différents où opère la domination sociale. Malgré les différences entre ces deux penseurs, je soutiens qu’il existe entre eux une complémentarité critique, théorique et méthodologique, qui permet à la fois de prolonger, d’enrichir et de mettre à l’épreuve aussi bien le projet d’une théorie critique de la société que la sociologie engagée et critique. (shrink)

In this paper, I propose a study of the invention and development of the technique of genetic mapping in the 1920's. I show that what is usually taken as one and the same theory (Classical Genetics) is in fact the result of the articulation of various levels of explanations corresponding to two different disciplines, with different methods and representational practices -- namely Mendelian theory and cytology. The merging of these two disciplinary frameworks is embodied in the very rules underlying (...) the construction and interpretation of genetic maps. Moreover, the debates between the geneticists around how to display data within these maps reveal that they have different understanding of the articulation of these disciplines (and different theoretical commitments). (shrink)

Negotiation is not only used to settle differences of interest but also to settle differences of opinion. Discussants who are unable to resolve their difference about the objective worth of a policy or action proposal may be willing to abandon their attempts to convince the other and search instead for a compromise that would, for each of them, though only a second choice yet be preferable to a lasting conflict. Our questions are: First, when is it sensible to enter into (...) negotiations and when would this be unwarranted or even fallacious? Second, what is the nature of a compromise? What does it mean to settle instead of resolve a difference of opinion, and what might be the dialectical consequences of mistaking a compromise for a substantial resolution? Our main aim is to contribute to the theory of argumentation within the context of negotiation and compromise formation and to show how arguing disputants can shift to negotiation in a dialectically virtuous way. (shrink)

Negotiation is not only used to settle differences of interest but also to settle differences of opinion. Discussants who are unable to resolve their difference about the objective worth of a policy or action proposal may be willing to abandon their attempts to convince the other and search instead for a compromise that would, for each of them, though only a second choice yet be preferable to a lasting conflict. Our questions are: First, when is it sensible to enter into (...) negotiations and when would this be unwarranted or even fallacious? Second, what is the nature of a compromise? What does it mean to settle instead of resolve a difference of opinion, and what might be the dialectical consequences of mistaking a compromise for a substantial resolution? Our main aim is to contribute to the theory of argumentation within the context of negotiation and compromise formation and to show how arguing disputants can shift to negotiation in a dialectically virtuous way. (shrink)

According to Christian doctrine as formulated by the Council of Chalcedon (451), Christ is one person (one supposit, one hypostasis) existing in two natures (two essences), human and divine. The human and divine natures are not merged into a third nature, nor are they separated from one another in such a way that the divine nature goes with one person, namely, the Word of God, and the human nature with another person, namely, Jesus of Nazareth. The two natures belong to (...) just one person, and the one person has two distinct natures. Chalcedon‟s justly-famous formula brought the debate into sharper focus and ruled out certain options, but of course it did not bring the arguments to a complete end. More councils,more debates, and more questions were to follow, although the range of disagreement tended to narrow. In the medieval Latin West, Peter Lombard (†1160) identified in book III of the Sententiae three “opinions” on the topic, but by the middle of the thirteenth century, it was widely agreed that only one of them was orthodox teaching. This relative unity of thought provided the space within which more detailed issues could be debated, and one of the most interesting of these concerned existence (esse): how many existences are there in Christ? Since Christ is only one person, it might seem that he has only one existence. On the other hand, he has two natures, so perhaps instead he has more than one existence. In this one paper, my goal is rather modest. I discuss only a few of the relevant authors, and I focus primarily on which questions they were asking. I proceed as follows. I first look at Thomas Aquinas, whose remarks on these topics had such a large influence on the debate later in the thirteenth and fourteenth centuries. Crucial will be certain distinctions that Thomas makes, distinctions we can see as disambiguating the question we began with, namely, „How many existences are there in Christ?‟. After that I will look at how one of those distinctions makes its appearance in the writings of two post-Thomistic authors, Giles of Rome and Godfrey of Fontaines. (shrink)

Consumer psychologists now have a wide array of tools for studying the behavior of individuals in the marketplace. Attitudes, opinions, and activities are monitored on a regular basis by a large number of research organizations. Within the past half dozen years it has even become possible to merge all of those data at the level of the individual household. The result is a powerful tool for the analysis of consumer behavior. Such powerful tools for observation and analysis are the (...) dream of many social scientists and they certainly provide important and useful information for scholars, commercial organizations, and government regulators. Yet, for all the power offered by these research tools and data sources consumer psychologists still find the answer to the "why" question elusive. 2012 APA, all rights reserved). (shrink)

Although most colonisations have been invasions of territory by neighbouring peoples with similar appearances, languages, and customs, postcolonial theory is dominated by cases of inter-civilizational imperialism between the West and the non-West. This article argues that a new theoretical framework is needed to describe intra-civilizational colonial encounters because the psychological conflicts of the intra-civilizational colonial sphere and their political ramifications function differently to those described in postcolonial theory. Drawing on Nobel Prize nominee Richard E. Kim’s memoir of growing up in (...) Korea during the Japanese Occupation, this article explicates the primary differences between the two forms of colonialism with reference to Homi Bhabha’s theories of hybridity and mimicry. It argues that without a visible racial difference between coloniser and colonised, hybridity and mimicry are imperial strategies of assimilation rather than native strategies of resistance and that the growth of cultural nationalism is a logical response. (shrink)

The theorem of convergence of opinions is an important theorem in the subjective theory of probability.It demonstrates that the subjectivity of a prior probability will be substituted with the objectivity of a posterior probability as evidences increase.The theorem of convergence of opinions is regarded as the dynamic principle of rationality concerning the subjective probability,and therefore is used to resolve Hume's problem,i.e.,the problem of inductive rationality.However,Hacking convincingly argues that the theorem of convergence of opinions is not about the (...) convergence of a posterior probability Pre(h),but about the convergence of a conditional probability Pr(h/e).The subjective theory of probability implies a tacit acceptance of an equation that is Pre(h)=Pr(h/e),usually called "the rule of conditionalisation".Thus,the problem of rationality of induction is converted into one concerning the rule of conditionalisation.In this paper a new principle of rationality(the principle of minimum number of initial probabilities)is put forward,which,in combination with the concept of "local rationality",offers a justification for the rule of conditionalisation. (shrink)

The will has generated a wider range of opinions than most phenomena, lacking as it does both an animal model and consistent behavioral correlates. It has even been held not to exist. The commentators approached my intertemporal bargaining (picoeconomic) model from many angles. Doubts about the existence of the underlying phenomenon, hyperbolic discounting, were still raised by some, but other commentators added to the evidence for it, which I regard now as overwhelming. Where mechanisms of self-control were specified, I (...) found it possible to place them within a picoeconomic framework. (shrink)

The purpose of this article is to show that Boudon’s explanation of action in terms of “good reasons” can be philosophically enriched by merging his methodological perspective with Mises’ praxeology and Gadamer’s hermeneutics. In order to develop our goal of merging Boudon’s approach with Mises’ and Gadamer’s, we will focus on two points. The first is the identification of the invariable structure of human action. Unlike Boudon, we suggest that the best way to establish this invariable structure, which (...) makes the explanation of action possible, is not to refer to the controversial concept of “human nature,” but rather to use Mises’ praxeological analysis of the invariable logic which all actions have in common. The second point analyzed in this article is the temporal and cultural dimension of the interpretative process which individuals elaborate to develop their reasons. This point, which is related to hermeneutical philosophy and is not investigated in detail by Boudon, is largely discussed by Gadamer. In our opinion, merging Gadamer’s description of the interpretative process – a process that Gadamer calls “hermeneutical circle” – and Boudon’s sociology of “good reasons” is useful because, unlike Boudon, Gadamer clarifies the epistemological nature of the interpretative process as well as the reasons why this process – which is a trial and error process – allows us to understand the actions of people who belong to different cultures. (shrink)

An aspect of Peirce’s thought that may still be underappreciated is his resistance to what Levi calls _pedigree epistemology_, to the idea that a central focus in epistemology should be the justification of current beliefs. Somewhat more widely appreciated is his rejection of the subjective view of probability. We argue that Peirce’s criticisms of subjectivism, to the extent they grant such a conception of probability is viable at all, revert back to pedigree epistemology. A thoroughgoing rejection of pedigree in the (...) context of probabilistic epistemology, however, _does_ challenge prominent subjectivist responses to the problem of the priors. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Thomas Abbt and the Formation of an Enlightened German “Public”Benjamin W. RedekopScholarly interest in the emergence of a “public sphere” and “public opinion” in eighteenth-century Europe remains strong, and with good reason. The ideological construct of a modern public in Europe “was a characteristic product of the Enlightenment, and it marked one of the critical zones of intersection between Enlightenment discourse and a broad range of socio-economic and institutional (...) changes.” 1 Analysis of the emerging figure of “the public” helps illuminate the relationship between intellectual and material culture, between “Enlightenment” and society. The recognition of the constitutive nature of language and its role in the interplay between “meaning” and “experience” 2 lead one to take seriously terms like “the public” and “public opinion” as important links between linguistic and social domains. Text and context merge into one as social entities like “the public” become rhetorical ones, and vice-versa.Keith Baker, for example, resolves the contextual dimension of “public opinion” in France into the textual one, whereby it emerges as a “rhetorical figure” or “political invention” in the latter decades of the eighteenth century. 3 Others stay closer to the social domain, including the salons of Paris, to look for the emergence of the notion of rational public opinion. 4 Taken together, these are two sides of the same coin—an emerging sphere of “public” discourse carried on by “private” individuals, and a more private sphere in which public discursivity was nurtured. 5 [End Page 81]In this article I explore these themes in a German context, focusing on the writings of Thomas Abbt (1738–66) as an attempt to grapple with the exigencies of German social and intellectual life in a novel fashion. Making use of a variety of European sourc es, Abbt—an academic with broad interests—strove in On Dying for the Fatherland (1761), On Merit (1765), and in his contributions to the seminal journal Letters Concerning the Newest Literature to conceptualize and to create a sense of citizenship and the “common good” which cut across the various divisions of German society, uniting all orders into a greater and harmonious whole or Publikum (public). The written word was the primary vehicle available for this simultaneous mo vement of enlightenment and socio-political formation, and Abbt’s works represent an early attempt to inscribe a public sphere—to create a space in which it became possible for individuals to think, talk, and act in reference to a larger socio-political whole. While Prussian patriotism was behind his initial foray into the topic of the public sphere in On Dying for the Fatherland, Abbt’s On Merit reveals an expansion in perspective, and with it the emergence of “the public” as a moral and s ocio-political point of reference. There is a good degree of continuity, however, between the two works, concerned as they are with overcoming the basic German problem of a fragmented public sphere with enlightened arguments designed to lead readers to lo cate themselves and their well-being in an enlarged societal frame.While at least one commentator has argued that Abbt was seeking to write for the common German Volk, 6 his primary audience was clearly that of the middling and higher orders. 7 The general problem Abbt addressed, however, was that of reconciling Enlightenment and reform with the entire spectrum of German society. This entailed the exploration of new, informal, and inclusive terms and modes of address: an available term was “the public,” and the mode of address a writing style which transformed ancient forms of public oratory into text—the public speaker became, under modern circumstances, the public writer.It is in this sense that Abbt was original and influential. Johann Gottfried Herder, Friedrich Nicolai, Moses Mendelssohn, J. G. Zimmerman, Friedrich Schiller, and others were moved in one way or another by Abbt’s writings. 8 [End Page 82] Herder in particular was stimulated by Abbt’s works, and Herder’s project was informed by the same kinds of socio-political concerns outlined here in relation to Abbt. 9 G. E. Lessing’s work also reflected a concern with the formation of a broader Publikum, as he mediated... (shrink)

Architecture and Deconstruction Case of Peter Eisenman and Bernard Tschumi -/- Introduction Towards deconstruction in architecture Intensive relations between philosophical deconstruction and architecture, which were present in the late 1980s and early 1990s, belong to the past and therefore may be described from a greater than before distance. Within these relations three basic variations can be distinguished: the first one, in which philosophy of deconstruction deals with architectural terms but does not interfere with real architecture, the second one, in which (...) a collaboration between Jacques Derrida and a group of architects interested in his concepts is commenced, and the third one, in which completed or only designed objects or new concepts of deconstruction created by architects gain their supremacy over philosophy. The following book analyses these three possible ways, first of all with the reference to Peter Eisenman and Bernard Tschumi. -/- Peter Eisenman -/- Misreading… and Other Errors -/- The issue of relations between Peter Eisenman’s work and philosophy of deconstruction may be referred to his activity more than ten years preceding his direct collaboration with Jacques Derrida (in 1985) and organisation of the exhibition Deconstructivist Architecture at Museum of Modern Art in New York (in 1988). As soon as at the stage of designing the first houses (House I-III, 1967-1970), which almost entirely inscribed in formalistic aesthetics of Modernism, the architect analysed the problem of architecture dependence on its assumptions. All his later designs may be treated as consequence of this initial interest in relations between practice and theory, and at the same time as an introduction to manipulations later on led at the level of metaphysics of architecture. Beginning with the issue of presence, considered in comments to House VI (1972), the number of ideas having their analogies in philosophy of deconstruction increased. The text entitled The End of the Classical: The End of the Beginning, The End of the End (1984), in which Eisenman criticised questions of representation in architecture, its delusive strive for truth and comparably unattainable attempts at ultimate definition of elementary rules, should be acclaimed the breaking point. This attitude was extended by numerous strategies disturbing architecture rules defined at metaphysical level in an essay Moving Arrows, Eros, and Other Errors: an Architecture of Absence (1986). The issue of Eisenman’s passage from formalism to deconstruction has already been much discussed in the literature (Rosalind Krauss, Thomas Patin among others), still it should be mentioned that the threads similar to Derrida’s concept included in Eisenman’s writing reveal untranslatability of architecture and philosophy. -/- Choral Works or Separate tricks -/- In 1985-1986 a series of seven disputes between Jacques Derrida and Peter Eisenman took place. The pretext for them were designs concerning Parc de la Villette in Paris. The situation of many months of collaboration between a notable philosopher of the second half of the 20th c. and an architect that already had a huge theoretical oeuvre, ended up with a publication of a large volume entitled Chora L Works and it became at the same time a vast study area for historians of contemporary architecture and philosophers. Derrida’s contribution to concept works were his considerations over the idea of chôra, the properties related to this concept were about to be reflected in shapes of the park. Therefore, Chora L Works became an example of the abilities of contemporary art, both in its capability of translation from philosophical ideas to artistic forms and its resistance to tradition of representing in architecture some phenomena and values originating outside this discipline. In the final period of their collaboration both interlocutors started to polemicise with each other more decidedly, what became a separate part of their thought exchange. The exchange of letters between Derrida and Eisenman at the turn of 1989 ended up the period of their direct contacts, nevertheless, at this time precisely a large group of experts in issues of deconstruction joined the discussion and extended the revealed in the former dispute problems into more than ten years of further considerations and publications. Except for a long text by Jeffrey Kipnis, who had participated in the meetings of the philosopher and the architect, there appeared also comments of researchers of artistic theories (K. Michael Hays, Thomas Patin), philosophers (Andrew Benjamin), and even experts in Greek literature (Maria Theodorou or Ann Bergren). Following these debates a contemporary reflection on architecture has saturated with indeed numerous concepts originating in philosophy of deconstruction. -/- Architecture which imitates mute philosophy -/- The series of Jacques Derrida and Peter Eisenman meetings, which took place in the period of 1985-1987, induced many authors to make comments. Some of them (Jeffrey Kipnis, Ann Bergren, Maria Theodorou) developed the subject of chôra which was introduced to the discussion by Derrida. The problem that was about to be solved was the question of tying up the concept of chôra with architecture, including Eisenman’s architecture and the series of meetings within frames of Chora L Works project. Kipnis on this occasion paid attention to chôra and its character of anachronia which infects any being created within chôra. In other words any event has its counterpart (analogon) in another, earlier event. He demonstrated the similarity of structure of many events and statements from the times of Derrida and Eisenman’s meetings to the almost identical behaviour of figures in Plato’s dialogue Timaeus. The loss of beginning present in this phenomenon was appropriate to both features of chôra and the effects of typical analyses of philosophy of deconstruction. Bergren’s analyses focused on accentuating gender of chôra, which, according to this author, had been neglected hitherto in discussions. She collated chôra descriptions with characteristics of women in myths, early Greek epic and philosophy and she arrived at a conclusion that chôra has features of a single woman and a married one at the same time. And yet Theodorou’s studies showed that in the Homeric epics chôra is not treated as an idea but is related with single things and events. The other part of the comments (represented by Andrew Benjamin and K. Michael Hays’ utterances) concerns Eisenman’s attitude to tradition which was treated as a variety of iteration understood philosophically. Benjamin commenced his considerations at the point of closeness between a definition of tradition and a concept of chôra understood as perpetuation (placement). A problematic issue was for him Eisenman’s complex relation to tradition based on its contest and affirmation at the same time. Overcoming the simple subordination to tradition – according to Benjamin – was based on awareness of the role of repetition in culture not known before. Hays made an attempt to explain the pleasure and torment of repetition with the support of Sigmund Freud and Roland Barthes’ concepts. According to Hays repetitions are attempts of a single being to a certain primal state perceived as free of any tension. In a similar way Rosalind Krauss explained a motif of a grate present in Modernistic art and also exceptionally frequent in Eisenman’s work. -/- Annex Architecture is still writing Balzac novels. Peter Eisenman and literature -/- Architecture’s approach to writing, script or literature, present within Peter Eisenman’s work, is an exceptional phenomenon, furthermore a complex one. The article considers four possible relations. The first one relates to Eisenman’s characteristics as a person extremely gifted with the ability to wordplay, which very ‘play’ reveals skills to create architectural images. In the second approach the attention has been paid to Eisenman’s interests – in the first period of his oeuvre – in linguistic works by Noam Chomsky and his transformational-generative grammar. The third kind of relations applied to overcoming the need for autonomy of architecture (and of modernist aesthetics at the same time) and renew interests in questions of meaning in architecture. The fourth sort of relations occurred when Eisenman started to create reflections of historic or literary narrations in architecture – ‘stone stories’ and architectural fictions of their kind. -/- Bernard Tschumi -/- From perversion to deconstruction In Bernard Tschumi’s writings from the 1970s and 1980s we can find a transposition of important threads of post-structuralist ideas deriving from Georges Bataille, Roland Barthes and Jacques Derrida’s works. The analysis of the architect’s writings also shows roots in Phillippe Sollers, Michel Foucault and Denis Hollier’s works. The analysis of borrowed elements from the beginnings of Tschumi’s theoretical activity may be helpful in explaining the contents of his later writings motre inspired by philosophy of deconstruction. The set of his earliest views was inspired by Marxism, Neo Marxism and French Structuralism, mainly by the writings of Henri Levebre and Guy Debord. From the thought of Levebre Tschumi took interest for city as not only a question of urbanistics but also a political issue. From Debord’s concepts he borrowed a conviction about the role of situational violation for changes in the society structure. Some of these beliefs were preserved in his own concepts of architecture as an event. From this period derived also his will to change conservative elements of social structure not by means of political revolution but of theoretical and creative activity. Tschumi acknowledged that the effective way of the proceedings towards achieving his aims would be accepting the role of both a critical intellectualist and architecture expert who would not hide away his left-wing orientation. The speculations defined by the architect as ‘revolting analyses’ were about to characterise contradictions which tear the society apart, penetrate architecture and constitute the basis of culture. Spreading away of the conscience of false assumptions hidden away in various disciplines could have weakened cohesion of a conservative society and influence the will to change among the elites. This way the beginnings of political revolution were rooted in philosophy of architecture. In 1977 Tschumi published his text entitled The Pleasure of Architecture inspired by Roland Barthes’s The Pleasure of the Text, it also included some concepts derived from Georges Bataille and Jacques Derrida. First of all the author used Barthes’s concept which made an assumption that literary activity is pervaded by the spirit of resistance towards social rules, and Tschudi transferred this remark onto architecture. From the ideas of Bataille, acquainted via Holier’s work, he derived his belief that two concepts of space, a conceptual one (defined as Pyramid) and a sensual one (defined as Labirynth), not losing their distinct features, they join in the concept of experienced space which exceeds contradictions. The exceeding itself was defined as the basic rule of architecture and it was referred to situations in which architecture not only negates social needs, but also disavows its own tradition. Crossing the borders applies not only to political issues or permanent rules of the very discipline but also interfering with other fields (especially literature and film). The fact that architecture is associated with organising events turned Tschumi’s attention to questions of violence that result from upsetting architectural order of a given building by its users and the one hand, and on the other from forcing the users to specific acts imposed by this very order. The analysis of the concepts used by Tschumi in his early writings indicates that they are close to definitions that would occur in his reflection in the following years influenced by philosophy of deconstruction. -/- Approaching deconstruction Tschumi in his theories developed in the 1980s presumed that the current social world had undergone a deep process of decay, and the reaction against which ought to be based on ordering-up actions, and also preserving the main outline of disintegration of the whole and its elements in the state of conflict. The statements concerning the nature of the contemporary to Tschumi social relations were applied by him to the world of architecture, this led him to coming up with designing strategies that took into consideration the destabilised character of conditions in which works of architecture were created. New ways of conduct invented by Tschumi drew their inspiration from literature and research on literature, psychoanalysis, structural linguistics, structuralism and post structuralism, and eventually also deconstruction philosophy. The proposed methods were opposed by their author both to functionalism continuity trends and postmodern architecture. Tschumi’s proposals contradicted any forms of conservatism or traditionalism in political sphere as well as in reference to tendencies in architecture. They were not simple contradictions of social or architectural rules, they intrude them from the inside, weaken or escalate the already existing incongruities, they move the boundaries between the areas. Revolutionary illusions about the possibility of radical changes were replaced with strategies which completed, tainted or test former rules in the series of formal games of permutation and combination. Quite different from avant-garde formalism Tschumi’s games were not about maintaining the autonomy of a given area, but on the contrary – polluting it with other areas’ influences. Tschumi enjoyed demonstrating illusions of architecture concerning simple relations between form and function, or between form and meaning. Making use of Freud, Lacan and Foucault’s research he introduced a category of “madness” into architecture allowing an observation that the recognised norms are nothing but merely ones of many possible principles of behaviour, and their recognised status resulted from unjustified hindering innovativeness which is crucial for architecture. To reborn architecture’s capability of changing Tschumi also made use of Barthes’s discoveries concerning rules of narration and works by writers who applied in their writing knowledge on linguistics. Making a work’s author unclear by various mechanical transformations of its elements was however apparent only, and formal rigours imposed on the process of designing liberated possibilities difficult to obtain in more traditional creative action. Another mode of acting introduced by Tschumi was combining his work of elements deriving from outside architecture; joining space records with notation of motion and events accompanying architectural objects among others. These architectural and extra-architectural elements were not unified, on the contrary their heterogenous and conflictual character was stressed. This is how shock, anxiety and instability, typical for live in great metropolises, infiltrated architecture. Taking some ideas of deconstruction philosophy as a pattern Tschumi also took into critical consideration in his essays traditional in architecture oppositions between form and figuration, or theory and practice. By combining various inspirations he eventually worked out an idea of architectural event, which he understood as a series of actions contesting its own field, redefining its sources, principles and elements. An event, understood in this way, was not so much producing works as rather creating conditions of their production and at the same time designing the society different from a hierarchic one. -/- Park of deconstruction Among numerous philosophical strategies of deconstruction most frequently used was questioning the practice of strong opposition of two reasons. In many cases Bernard Tschumi’s writings just consider functioning of the conflict juxtaposition of the ideas of structure and ornament or theory and practice in history of architecture. Violation of traditional relations between terms of this kind, both old and modern, raised Jacques Derrida’s objections, when he was induced for the first time to co-operate with architects’ milieu. During this long lasting thought exchange the philosopher eventually acknowledged Bernard Tschumi’s arguments for reasoning the encroachment of architecture’s fundamental rules. Deconstruction applied in architecture was not a simple transposition or analogy of practices that had been applied by philosophy of deconstruction. We may even say that considering architectural terms became an important formula of deconstruction. Architecture understood in philosophical way became something beyond the practice and theory of its own discipline, a sort of metaphysics of both philosophy and architecture. The deliberate encroachment of simplicity of dividing architecture into theory and practice, for the first time became a clear aim for Tschumi in his drawings and texts entitled The Manhattan Transcripts. The contents of this series of works was a record of characteristic features of this New York district in such a way that not only objects were the subject of the record but also relations between objects, people and events. The record was about to take into consideration a conflict character of elements of this representation and at the same time to avoid applying to them the rule of mimetism. The record became a form of reflection over the very record by an increased control over the ways of representation. Architecture which was considered in the The Manhattan Transcripts was not directed to fulfill the needs of inhabitation or production, it was rather related with hitherto usually marginalised liminal situations: building ostentatiously big monuments, religious cult, war etc. Architecture operating in these relations focused also the attention on the included in it continuous tendency to overpass its own restrictions, the role of violence as its not recognised factor, or the meaning of excess and shock in its operation. Architecture moving from reason towards madness became even more visible in the design of Parisian Parc de la Villette, whose pavilions were defined as folies (in French it means both small park buildings and follies). The park was supposed to be on the one hand a reflection of traditional society disintegration while on the other it questioned basic rules of producing a work of architecture. The traditional rules of designing, based on ordering up, were replaced with the strategies of dysfunction and dissociation. In Tschumi’s opinion methods of this kind may be equivalent of what Derrida named différance. Instead of aiming at mergence, any diversity, plays or variations were strengthen. Tschumi’s texts, in which he explained his attitude, were completed by Derrida’s extent statement entitled Point de folie – Maintenant l’architecture. Derrida’s article is the most significant of all his statements on architecture as a form of thinking and activity. According to the philosopher, architecture should divide space (in French defined as espacement), what enables both thinking and action – it arranges the space of an event. Tschumi’s buildings, defined as folies, in an essential way destabilise any created order, and at the same time they refresh it. Derrida’s statement suggests that architecture may become both metaphor of an order merging a language or a society but also of inner forces which deconstruct and reconstruct it. Therefore architecture is at the same time a construction, a deconstruction and a reconstruction. Parc de la Villette stands out in this system with its attempt to step beyond the scheme of an easy repetition and its heading for chances of achieving more radical otherness. -/- Conclusion Destruction as construction. Paradoxes of deconstruction in architecture -/- Scepticism about persistence and common importance of fundamental values of human culture evinced in philosophers and writers’ works as early as in Greek antiquity, nevertheless it was not expressed so strongly as in the second half of the 20th century. Especially in Heidegger’s work Being and Time (although originated in 1927, still influential in all later philosophy) the following states were characterised: the state of losing the ground (Abgrund), of being out of sight (Unheimlichkeit) and of being out of dwelling (Un-zuhause-sein) – as the basis of self-confidence of conscious being there (Dasein). The entire criticism of philosophy of home and dwelling draws the inspiration from this early writing of the German philosopher, it combines crisis of basic terms of metaphysics with social conditions which are dictated by living in large metropolis. The crisis of both metaphysical foundation and home appears to be similar to the situation of weakening the relations between a man and his dwelling in extensively expanding cities. Whereas philosophy, as well as many disciplines of social sciences, have diagnosed for a long time the destabilisation of fundamental ideas of Western culture and crucial changes in the ways of dwelling, architecture itself occurred to be “the last fortress of metaphysics” (J. Derrida). Among contemporary architects, Peter Eisenman and Bernard Tschumi were the ones who engaged most decidedly in the issues of critical analysis of architecture foundation and its social role. Both the architects noticed new formulas of contemporary social and individual existence, tremendously different from the entire history, and at the same time they affirmed lack of adequacy of architecture concepts to new situations. Both Eisenman and Tschumi used to describe the existing architecture as a tool for consolidation of highly integrated and hierarchised societies, and also as a discipline extremely uncoincidental with the current character of social life based on ideas of freedom and diversity. The means to transform architecture and make a factor of further social changes out of it, was a concept that accentuated revealing the inner contradictions of this discipline, and considering them in designing strategies. Eisenman’s activity, in regard of what has just been noticed, was focused on questioning the basic rules of traditionally comprehended architecture, especially the rule of purpose. The American architect noticed that the concept of architecture as fulfilment the need of location, hides away the fact that the location has to be constantly reconsidered, and hence it is overtaken by change (dislocation). Therefore new concept of architecture propounded architectural activity to translocate the concept of location – more than before – but also to change its status perpetually. Such comprehended architecture should claim, as its main purpose, the constant revision of this purpose and create itself anew permanently. Even Eisenman’s earliest designs of houses nos. I-IV broke with such values as the sense of safety, closeness and familiarity, and just on the contrary they accentuated senses of strangeness, homelessness and loss of confidence. The contradictions within architecture noticed by Tschumi referred to combination of intellectual and sensual values in architecture, when their non-appropriation was defeated by an additional condition, namely the way of experience based on pleasure of excess, marked by insanity. The features of folly were especially visible in his designs of gardens, where the order of planning was mixed with sensual experience introduced by particular elements (both the ones created by nature, and the buildings defined as folies). Parc de la Villette designed by the French architect in Paris put in question not only the common understanding of purpose in architecture but also the ideas of order and integrity, as its plan was based on the combination of independent layers with records of grids of points, various lines and planes. The architecture that collides inadequate elements with each other was supposed to be a kind of an event with no beginning and no end. The architecture treated as an event became a form of a space weakened articulation that maintains its diversity and lack of accordance of the elements building it up. The analyses of Eisenman and Tschumi’s theoretical writings indicate how much the aims of architecture have actually changed; instead of supporting social persistence, the architecture is rather intensifying contradictions, and instead of providing people with the sense of safety, it sublimes danger. From simple acts of defamiliarisation, increasing the distance to itself and enhancing the role of theory, through discomfort, anxiety, not feeling someone at home, weirdness, excess, shock and violence, architecture reached the edge of stability and uncertainty, only to make an attempt at penetrating what is impossible and unutterable, and recording what cannot become the subject of any records. -/- . (shrink)

Opinion surveys and popular media suggest that American workers are disillusioned with their employers and bosses. Governance in organizations is becoming a recognized problem. Classical works on governance call for more virtuous leaders, less selfish followers, and closer attention to the common good. These works were rejected as a basis for governing nations in the 18th century. They are unlikely to provide a basis for governing organizations in the 21st century. This article outlines a liberal-democratic approach to governing corporations, applies (...) this approach to debates over shareholder-stakeholder accountabilities, and proposes specialaccountabilities to employees. (shrink)

Opinion surveys and popular media suggest that American workers are disillusioned with their employers and bosses. Governance in organizations is becoming a recognized problem. Classical works on governance call for more virtuous leaders, less selfish followers, and closer attention to the common good. These works were rejected as a basis for governing nations in the 18th century. They are unlikely to provide a basis for governing organizations in the 21st century. This article outlines a liberal-democratic approach to governing corporations, applies (...) this approach to debates over shareholder-stakeholder accountabilities, and proposes specialaccountabilities to employees. (shrink)

Thomas Hobbes’s most important recommendations for a sovereign reader concerned the governing of opinion. Due to the spread of false doctrines and their powerful champions, Hobbes was afraid that subjects would have opinions contrary to the maintenance of peace. His solution comprehended a combination of civic education and censorship. This text explains how Hobbes justifies his recommendations from the perspective of individual deliberation. It argues that Hobbes conceived censoring circulating doctrines as a way of keeping subjects’ minds like clean (...) paper, ready for the sovereign to imprint civil doctrine in them through teaching, thereby increasing the chances of influencing subjects’ (free) deliberation, and thus of producing obedience. (shrink)

This paper contends that an effective way to elicit student interest in philosophical problems is to engage them in controversies they care about. The author describes an exercise that introduces basic elements of rational discourse, e.g. truth, belief, facts, rational disagreement, by questioning whether there any matters of opinion. In addition to providing an argument why there are no matters of opinion, the paper describes standard student responses and counterexamples to being told there are no matters of opinion, and offers (...) suggestions on how best to respond to said responses. (shrink)

Richard Jeffrey and Michael Goldstein have both introduced systematic approaches to the structure of opinion changes. For both approaches there are theorems which indicate great generality and width of scope. The main questions addressed here will be to what extent the basic forms of representation are intertranslatable, and how we can conceive of such programs in general.

In his 1939 Cambridge Lectures on the Foundations of Mathematics, Wittgenstein proclaims that he is not out to persuade anyone to change their opinions. I seek to further our understanding of this point by investigating an exchange between Wittgenstein and Turing on contradictions. In defending the claim that contradictory calculi are mathematically defective, Turing suggests that applying such a calculus would lead to disasters such as bridges falling down. In the ensuing discussion, it can seem as if Wittgenstein challenges (...) Turing's claim that such disasters would occur. I argue that this is not what Wittgenstein is doing. Rather, he is scrutinizing the meaning and philosophical import of Turing's claim—showing how Turing is wavering between making an empirical prediction and a logical observation, and that it is only through this wavering that Turing can believe that he has provided a proper explanation of why contradictory calculi are mathematically defective. (shrink)