This essay provides an account of four interrelated ideas. First, a person who is not poor by the standard conception of poverty can still be functionally poor. Second, poverty is a relationship between the poor and their environment (community, local markets, and local institutions). Third, poverty is a determinant of agency and impedes its exercise. Fourth, promoting agency promotes development. I conclude that agency is central to understanding both poverty and development.

Being a pragmatic and not a referential approach tosemantics, the dialogical formulation ofparaconsistency allows the following semantic idea tobe expressed within a semi-formal system: In anargumentation it sometimes makes sense to distinguishbetween the contradiction of one of the argumentationpartners with himself (internal contradiction) and thecontradiction between the partners (externalcontradiction). The idea is that externalcontradiction may involve different semantic contextsin which, say A and ¬A have been asserted.The dialogical approach suggests a way of studying thedynamic process of contradictions through which thetwo (...) contexts evolve for the sake of argumentation intoone system containing both contexts.More technically, we show a new, dialogical, way tobuild paraconsistent systems for propositional andfirst-order logic with classical and intuitionisticfeatures (i.e. paraconsistency both with and withouttertium non-datur) and present theircorresponding tableaux. (shrink)

This monograph proposes a new way of studying the different forms of correlational inference, known in the Islamic jurisprudence as qiyās. According to the authors’ view, qiyās represents an innovative and sophisticated form of dialectical reasoning that not only provides new epistemological insights into legal argumentation in general but also furnishes a fine-grained pattern for parallel reasoning which can be deployed in a wide range of problem-solving contexts and does not seem to reduce to the standard forms of analogical reasoning (...) studied in contemporary philosophy of science and argumentation theory. After an overview of the emergence of qiyās and of the work of al-Shīrāzī penned by Soufi Youcef, the authors discuss al-Shīrāzī’s classification of correlational inferences of the occasioning factor. The second part of the volume deliberates on the system of correlational inferences by indication and resemblance. The third part develops the main theoretical background of the authors’ work, namely, the dialogical approach to Martin-Löf's Constructive Type Theory. The authors present this in a general form and independently of adaptations deployed in parts I and II. Part III also includes an appendix on the relevant notions of Constructive Type Theory, which has been extracted from an overview written by Ansten Klev. The book concludes with some brief remarks on contemporary approaches to analogy in Common and Civil Law and also to parallel reasoning in general. (shrink)

Numerous studies have examined the manner in which minority groups, including refugees, are depicted in the media discourse of the host countries or the dominant majority groups. The results of such studies indicate that media systematically discriminate these minority groups and deem them as a security, economic and hygiene threat to the majority groups. Through the use of Lakoff and Jonson’s conceptual metaphor theory, this study compares and contrasts the representation of Syrian refugees in the online media discourse of not (...) only host countries but also non-host countries, which, in this study, refers to nations that do not host Syrian refugees. The results show that statistical differences between the metaphors used by host and non-host countries only occur when using the metaphors that describe the entry of refugees and the burden they are inflicting on the host countries. This is clearly indicated by the p-values of the log-likelihood test. (shrink)

Starting with two supercompact cardinals we produce a generic extension of the universe in which a principle that we call GM+ holds. This principle implies ISP and ISP, and hence th...

Recent literature on dialogical logic discusses the case of tonk and the notion harmony in the context of a rule-based theory of meaning. Now, since the publications of those papers, a dialogical version of constructive type theory (CTT) has been developed. The aim of the present paper is to show that, from the dialogical point of view, the harmony of the CTT- rules is the consequence of a more fundamental level of meaning characterized by the independence of players. We hope (...) that the following paper will contribute to a better understanding of the dialogical notion of meaning.La bibliografía reciente sobre lógica dialógica, estudia el caso de tonk y la noción de armonia en el contexto de una teoría del significado basado en reglas. Ahora bien, desde la publicación de tales textos, la teoría dialógica ha sido vinculada con la Teoría Constructiva de Tipos (CTT). El objetivo principal del presente artículo es mostrar que, desde un punto de vista dialógico, la armonía de las reglas de la CTT es consecuencia de un nivel más fundamental de significado caracterizado por la independencia de los jugadores. Esperamos que el presente trabajo contribuya a una mejor comprensión de la nocion dialógica de significado. (shrink)

The integration of digital technologies into social science has catalyzed the development of fields such as digital sociology, digital humanities, and digital social sciences more broadly. This technological shift has significant methodological implications for social science research, which are being increasingly discussed. This discussion raises critical questions about the potential and limitations of merging traditional social research methodologies with digital innovations. Digitized and digital methods have brought about promises of a new era in social science research. However, some scholars have (...) highlighted the challenges and limitations associated with this methodological transition, including data-relevant considerations, skill and expertise issues, and ethical concerns. From the vantage point of advancements in science and technology studies (STS) – a discipline that has engaged with the methods and practices of knowledge production for some decades – I will explore five additional methodological challenges posed by the digitization of social science research that has been largely overlooked or neglected in the literature of digital methods. Our analysis concludes that while digital methods can serve as valuable complementary tools, they are not sufficient to fully engage with the core practices and phenomena of social science research. Thus, digital and traditional methods can coexist, albeit not in a symmetrical manner. (shrink)

The main aim of this paper is to study the notion of conditional right by means of constructive type theory (CTT) which provides the means to develop a system of contentual inferences rather than of syntactic derivations. Moreover, in line with Armgardt, we will first study the general notion of dependence as triggered by hypotheticals and then the logical structure of dependence specific to conditional right. I will develop this idea in a dialogical framework where the distinction between play-object and (...) strategy-object leads to the further distinction between two basic kinds of pieces of evidence and where meanings is constituted by the interaction of obligations and entitlements. The present paper is based on Rahman (2015). However, though the underlying CTT-analysis is the same, the dialogical reconstruction makes use of a new way of linking dialogical logic and CTT. Introduction. (shrink)

A brief examination of the most recent literature in philosophy of science shows that a host of research in this area studies the fictionalist approach to scientific models and related approaches such as van Fraassen's latest book (2008) on scientific representation. Van Fraassen's idea, to put it bluntly, relies on the idea that measurement is the main instrument by the means of which natural sciences achieve the representation aims expressed by scientific models. Moreover, if scientific knowledge is associated with the (...) deployment of some kind of explicative power, this power is closely related to the representation devices developed between the 17 th and 18 th century, when these were conceived as involving specific forms of measurement: measurement locates the target in a theoretically constructed logical space (van Fraassen 2008, p.2). The main objective of our talk is to delve into the logical features of such kind of approaches: the point is to understand the location-mechanism. On one hand we will follow a seminal idea of Olsson and Westlund (2006) that proposed to add to a scientific model a set of open questions (its scientific agenda), and on the other, we will deploy a recent proposal of Rahman/Redmond (2015) to conceive objects of models as functions (dependent-proof objects) of hypothetical judgments as formulated in the frame of constructive type theory. Against such a background, the point is how to relate those functions with the purported targets of the scientific model they constitute. Our main claim is that this achieved by a mapping. The specification mechanism of such a mapping, we claim, is related to those questions that constitute the agenda of the underlying theory and more particularly to the questions related to the relevant measurement theory. (shrink)

While there has been much discussion of how the scientific establishment’s culture can engender research misconduct and scientific irreproducibility, this has been discussed much less frequently with respect to the medical profession. Here the authors posit that a lack of self-criticism, an encouragement of novel scientific research generated by the recruitment policies of the UK Royal Training Colleges along with insufficient training in the sciences are core reasons as to why research misconduct and dishonesty prevail within the medical community. Furthermore, (...) the UK General Medical Council’s own data demonstrates a historic inattentiveness to the ease with which doctors can engage in research misconduct. Suggestions are made as to how these issues can be investigated and alternative incentives for career advancement are adumbrated. (shrink)

Cet article s’attache à définir la nation, en Afrique, par la notion de « révolution », c’est-à-dire d’une transformation totale de conditions anciennes – aussi bien précoloniales que coloniales – en vue de fonder des structures nationales progressistes et démocratiques. Usant de l’exemple des pays du Sahel, en particulier le Burkina Faso, le Mali et le Niger, l’article analyse cette révolution nationale comme un phénomène de cycle long, qui se déploie dans une contradiction entre un leadership politique de moins en (...) moins en adéquation avec elle, et des peuples de plus en plus conscients et exigeants quant à leurs droits civiques. Cette contradiction est par ailleurs déterminée différemment par les problèmes politiques propres au cadre urbain et au cadre rural. Elle aboutit à des luttes et contestations opposant peuples et élites qui indiquent que, si la révolution nationale est loin d’être accomplie, elle n’a pas non plus simplement avorté. (shrink)

Employing Constructive Type Theory Constructive Type Theory, we provide a logical analysis of[aut]Ibn SīnāIbn Sīnā’sIbn Sīnā descriptional propositions. Compared to its rivals, our analysis is more faithful to the grammatical subject-predicate structure of propositions and can better reflect the morphological features of the verbs that extend time to intervals. We also study briefly the logical structure of some fallacious inferences that are discussed by Ibn Sīnā. The CTT-framework makes the fallacious nature of these inferences apparent.

The social impacts of computer technology are often glorified in public discourse, but there is growing concern about its actual effects on society. In this article, we ask: how does “consent” as an analytical framework make visible the social dynamics and power relations in the capture, extraction, and labor of data science knowledge production? We hypothesize that a form of boundary violation in data science workplaces—gender harassment—may correlate with the ways humans’ lived experiences are extracted to produce Big Data. The (...) concept of consent offers a useful way to draw comparisons between gender relations in data science and the means by which machines are trained to learn and reason. Inspired by how Big Tech leaders describe unsupervised machine learning, and the co-optation of “revolutionary” rhetoric they use to do so, we introduce a concept we call “techniques of invisibility.” Techniques of invisibility are the ways in which an extreme imbalance between exposure and opacity, demarcated along fault lines of power, are fabricated and maintained, closing down the possibility for bidirectional transparency in the production and applications of algorithms. Further, techniques of invisibility, which we group into two categories—epistemic injustice and the Brotherhood—include acts of subjection by powerful actors in data science designed to quell resistance to exploitative relations. These techniques may be useful in making further connections between epistemic violence, sexism, and surveillance, sussing out persistent boundary violations in data science to render the social in data science visible, and open to scrutiny and debate. (shrink)

the demise of the logical positivism programme. The answers given to these qu- tions have deepened the already existing gap between philosophy and the history and practice of science. While the positivists argued for a spontaneous, steady and continuous growth of scientific knowledge the post-positivists make a strong case for a fundamental discontinuity in the development of science which can only be explained by extrascientific factors. The political, social and cultural environment, the argument goes on, determine both the questions and (...) the terms in which they should be answered. Accordingly, the sociological and historical interpretation - volves in fact two kinds of discontinuity which are closely related: the discontinuity of science as such and the discontinuity of the more inclusive political and social context of its development. More precisely it explains the discontinuity of the former by the discontinuity of the latter subordinating in effect the history of science to the wider political and social history. The underlying idea is that each historical and - cial context generates scientific and philosophical questions of its own. From this point of view the question surrounding the nature of knowledge and its development are entirely new topics typical of the twentieth-century social context reflecting both the level and the scale of the development of science. (shrink)

The Theme. Strong forcing axioms like Martin’s Maximum give a reasonably satisfactory structural analysis of $H(\omega _2)$. A broad program in modern Set Theory is searching for strong forcing axioms beyond $\omega _1$. In other words, one would like to figure out the structural properties of taller initial segments of the universe. However, the classical techniques of forcing iterations seem unable to bypass the obstacles, as the resulting forcings axioms beyond $\omega _1$ have not thus far been strong enough! However, (...) with his celebrated work on generalised side conditions, I. Neeman introduced us to a novel paradigm to iterate forcings. In particular, he could, among other things, reprove the consistency of the Proper Forcing Axiom using an iterated forcing with finite supports. In 2015, using his technology of virtual models, Veličković built up an iteration of semi-proper forcings with finite supports, hence reproving the consistency of Martin’s Maximum, an achievement leading to the notion of a virtual model.In this thesis, we are interested in constructing forcing notions with finitely many virtual models as side conditions to preserve three uncountable cardinals. The thesis constitutes six chapters and three appendices that amount to 118 pages, where Section 1 is devoted to preliminaries, and Section 2 is a warm-up about the scaffolding poset of a proper forcing. In Section 3, we present the general theory of virtual models in the context of forcing with sets of models of two types, where we, e.g., define the “meet” between two virtual models and prove its properties.The main results are joint with Boban Veličković, and partly appeared in Guessing models and the approachability ideal, J. Math. Log. 21 (2021).Pure Side Conditions. In Section 4, we use two types of virtual models (countable and large non-transitive ones induced by a supercompact cardinal, which we call Magidor models) to construct our forcing with pure side conditions. The forcing covertly uses a third type of models that are transitive. We also add decorations to the conditions to add many clubs in the generic $\omega _2$. In contrast to Neeman’s method, we do not have a single chain, but $\alpha $ -chains, for an ordinal $\alpha $ with $V_\alpha \prec V_\lambda $. Thus, starting from suitable large cardinals $\kappa <\lambda $, we construct a forcing notion whose conditions are finite sets of virtual models described earlier. The forcing is strongly proper, preserves $\kappa $, and has the $\lambda $ -Knaster property. The relevant quotients of the forcing are strongly proper, which helps us prove strong guessing model principles. The construction is generalisable to a ${<}\mu $ -closed forcing, for any given cardinal $\mu $ with $\mu ^{<\mu }=\mu <\kappa $.The Iteration Theorem. In Section 5, we use the forcing with pure side conditions to iterate a subclass of proper and $\aleph _2$ -c.c. forcings and obtain a forcing axiom at the level of $\aleph _2$. The iterable class is closely related to Asperó–Mota’s forcing axiom for finitely proper forcings.Guessing Model Principles. Section 6 encompasses the main parts of the thesis. We prove the consistency of the guessing principle $\mathrm {GMP}^+(\omega _3,\omega _1)$ that states for any cardinal ${\theta \geq \omega _3}$, the set of $\aleph _2$ -sized elementary submodels M of $H(\theta )$, which are the union of an $\omega _1$ -continuous $\in $ -chain of $\omega _1$ -guessing, I.C. models is stationary in $\mathcal P_{\omega _3}(H(\theta ))$. The consistency and consequences of this principle are demonstrated in the following diagram. We also prove that one can obtain the above guessing models in a way that the $\omega _1$ -sized $\omega _1$ -guessing models remain $\omega _1$ -guessing model in any outer transitive model with the same $\omega _1$, and we denote this principle by $\rm{SGMP}^+(\omega_3,\omega_1)$.In the following diagram, $\mathrm{TP}$ stands for the tree property; $w\mathrm{KH}$ stands for the weak Kurepa Hypothesis; $\mathrm{MP}$ stands for Mitchell property, i.e., the approachability ideal is trivial modulo the nonstationary ideal; $\mathrm{AP}$ stands for the approachability property; $\mathrm {AMTP}(\kappa ^+)$ states that if $2^\kappa <\aleph _{\kappa ^+}$, then every forcing which adds a new subset of $\kappa ^+$ whose initial segments are in the ground model, collapses some cardinal $\leq 2^{\kappa }$. The dotted arrow denotes the relative consistency, while others are logical implications.Appendices. Appendix A includes merely the above diagram. Appendix B presents a proof of the Mapping Reflection Principle with finite conditions under $\mathrm {PFA}$. Appendix C contains open problems. Finally, the thesis’s bibliography consists of 42 items.Abstract prepared by Rahman MohammadpourE-mail: [email protected]: https://theses.hal.science/tel-03209264. (shrink)

This article argues that current economic upheaval should be understood as a problem of domination, in two respects: the ‘dyadic’ domination of one actor by another, and the ‘structural’ domination of individuals by a diffuse, decentralized, but nevertheless human-made system. Such domination should be contested through specifically democratic political mobilization, through institutions and practices that expand the political agency of citizens themselves. The article advances this argument by synthesizing two traditions of political thought. It reconstructs radical democratic theory from the (...) Progressive Era. These thinkers in turn help to reinforce contemporary debates in neorepublican thought, resolving disputes over the scope of domination and the relationship between domination and democracy. This synthesis offers a novel normative framework for diagnosing and responding to the current combination of economic upheaval and political dysfunction. (shrink)

The main aim of this paper is to study the notion of conditional right by means of a dialogical approach to constructive type theory (CTT). We will develop this idea in a framework where the distinction between local-reason and strategic-reason leads to the further distinction between two basic kinds of pieces of evidence, factual and logical. The present paper is based on Rahman (2015). However, though the underlying CTT-analysis is the same, the dialogical reconstruction makes use of a new (...) way of linking dialogical logic and CTT. (shrink)

The problem of alienation has come to the focus of philosophical discourse in terms of cogito’s loss of immediacy with the body and intimacy with the world, ever since Descartes—the founding father of modern thought—had his famous meditations. Putting the problem of alienation at the focus of philosophy, how should this human situation be reflected upon and the problem be addressed or dissolved at the least? One thing is clear that the method of enquiry cannot be purely intellectual wherein the (...) subject–object dichotomy has to be rigorously maintained. Rather, it has to turn intuitive at some stage, so that human subjective consciousness could be given its due place in the enquiry and the interplay of it with and the embeddedness of it in the material reality be revealed and accounted for as well. Only such an approach would address the problem at hand. But one cannot remain very optimistic about Western philosophy in this endeavor, due to the reasons to be elaborated in present paper. It is in this context that an enquiry into other philosophical systems becomes relevant. In the Eastern philosophical traditions, the issue at hand is addressed more creatively. Particularly in the Advaita Vedanta school of Indian Philosophy, the problem of alienation is tackled in an original way by elevating altogether the ‘being of man’ to a different level by way of an existential blending of his intellectual and intuitive capacities. Precisely in the Taittiriya Upanishad, man’s true nature is formulated in tune with nature, giving it a unique existential thrust. This conception once elaborated seems to be capable of productively addressing the issue at hand. An attempt will be made in the paper, at elucidating this view. (shrink)

One of the major roadblocks in conducting Environmental Corporate Social Responsibility (ECSR) research is operationalization of the construct. Existing ECSR measurement tools either require primary data gathering or special subscriptions to proprietary databases that have limited replicability. We address this deficiency by developing a transparent ECSR measure, with an explicit coding scheme, that strictly relies on publicly available data. Our ECSR measure tests favorably for internal consistency and inter-rater reliability, as well as convergent and discriminant validity.

RésuméCette première étude permet notamment de dégager ce résultat épistémologique: les différentes formes d’“inférence co-relationnelle” connues dans la jurisprudence islamique sous le nom de qiyās représentent une forme innovante et sophistiquée de raisonnement qui permet non seulement d'avoir une conception épistémologique plus claire du raisonnement légal en général, mais aussi de produire une mécanique bien huilée pour le “raisonnement parallèle”; cette mécanique du “raisonnement parallèle” peut être déployée selon un large spectre dans différents cadres de résolution de problèmes et ne (...) semble pas se réduire aux formes standard de l'argumentation analogique étudiées en philosophie des sciences contemporaine. Nous n'aborderons cependant dans la présente étude que le cas de la dénommée “inférence co-relationnelle du facteur occasionnel”, et ce seulement dans le contexte de la jurisprudence islamique. (shrink)

The present study on al-Dīn Suhrawardī's Ḥikmat al-Ishrāq, develops some preliminary explorations on his logic under the background of his remarkable epistemology of pis some witness of d resence. The paper paves the way for responding to the challenges of Tony Street on the compatibility of Suhrawardī's critique of Ibn Sīnā with the development of a temporal and modal syllogism that at first sight seems quite close to that of Ibn Sīnā. In fact, Suhrawardī's modalities are to be understood as (...) the different ways a predicate relates to its subject rather than as propositional operators. Accordingly, necessarily necessary modality relates actual instances (presences) of the Subject-Term with actual (presences) of the Predicate-Term; in contrast, necessarily contingent modality relates these terms conditionally, notably involving states of the Subject-Term within time intervals. Suhrawardī's main innovation, so we claim, is the explicit dialectical role presences or actual instances have in his modal-temporal logic, and particularly so in shaping his notion of contingency that admits both a generic and an individual or de re form of plenitude. (shrink)

This volume includes a target paper, taking up the challenge to revive, within a modern (formal) framework, a medieval solution to the Liar Paradox which did ...

The Heisenberg-Gabor uncertainty principle defines the limits of information resolution in both time and frequency domains. The limit of resolution discloses unique properties of a time series by frequency decomposition. However, classical methods such as Fourier analysis are limited by spectral leakage, particularly in longitudinal data with shifting periodicity or unequal intervals. Wavelet transformation provides a workable compromise by decomposing the signal in both time and frequency through translation and scaling of a basis function followed by correlation or convolution with (...) the original signal. This study aimed to compare the accuracy of predictive models in mental arithmetic in time and frequency domains. Analysis of the author's response time at mental arithmetic using a soroban was modeled for two periods, an initial period, and a return period both separated by an interval of 370 days. The median response times in seconds was longer for all tasks during the TI compared to the TR period, for addition [CTAdd 62 vs 50 s] and summation [CTSum 68 vs 57 s]. Response times were longer for errors regardless of the study period or task. There was an increasing phase difference for the addition and summation tasks during the TI period toward the end of the series 49.65o compared to the TR period where the phase difference between the two tasks was only 2.05o, indicating that both tasks are likely demonstrating similar learning rates during the latter study period. A comparison between time and time/frequency domain forecasts for an additional 100 tasks demonstrated higher accuracy of the maximum overlap discrete wavelet transform model, where the mean absolute percentage error ranged between 5.48 and 8.19% and that for the time domain models [autoregressive integrated moving average, generalized autoregressive conditional heteroscedasticity ] was 6.16–10.80%. (shrink)

Qiyās, or “correlational inference”, comprises a primary set of methodological tools recognized by a majority of premodern Sunnī jurists. Its elements, valid modes, and proper applications were the focus of continual argument and refinement. A particular area of debate was the methodology of determining or justifying the ʿilla: the legal cause giving rise to a ruling in God’s Law. This was most often discussed under the rubric of “the modes of causal justification”. Among these modes was the much debated test (...) of dawarān. In brief, proponents of dawarān employed it to justify claims that a property occasioned the ruling in an authoritative source-case. In concert with other considerations, the demonstrated co-presence and co-absence of property and ruling—that is, their concomitance “in existence” and “in nonexistence” — was taken as an indication that the property was the ruling’s ʿilla. Delving further into dawarān and causation, the current study interprets “in existence” and “in nonexistence” not as a kind of metaphor for true and false, but as an accurate terminology vis-à-vis the meaning of causality statements, fully compatible with dominant Islamicate views on causal agency. In brief, a deeper logical and linguistic analysis of the different existential modes of dawarān strongly suggests that we should distinguish property and ruling as types as opposed to tokens. Our reading of dawarān as shaped by a finer-grained structure not only allows us to identify the efficient occasioning process as a function which takes some particular token of the ʿilla and renders a token of the general ruling type, but it allows us to elucidate the role of taʿlīl in shaping an epistemological theory of argument to the best explanation: a sophisticated, premodern manifestation of abductive reasoning. (shrink)

PREFACEProf. Göran Sundholm of Leiden University inspired the group of Logic at Lille and Valparaíso to start a fundamental review of the dialogical conception of logic by linking it to constructive type logic. One of Sundholm's insights was that inference can be seen as involving an implicit interlocutor. This led to several investigations aimed at exploring the consequences of joining winning strategies to the proof-theoretical conception of meaning. The leading idea is, roughly, that while introduction rules lay down the conditions (...) under which a winning strategy for the Proponent may be built, the elimination rules lay down those elements of the Opponent's assertions that the Proponent has the right to use for building winning strategy. It is the pragmatic and ethical features of obligations and rights that naturally lead to the dialogical interpretation of natural deduction.During the Visiting Professorship of Prof. Sundholm at Lille in (2012) the group of Lille started delving into the ways of implementing Per Martin-Löf's Constructive Type Theory with the dialogical perspective. In particular, Aarne Ranta's (1988) paper, the first publication on the subject, was read and discussed during Sundholm’s seminar. The discussions strongly suggested that the game-theoretical conception of quantifiers as deploying interdependent moves provide a natural link between CTT and dialogical logic. This idea triggered several publications by the group of Lille in collaboration with Nicolas Clerbout and Juan Redmond at the University of Valparaíso, including the publication of the book (2015) by Clerbout / Rahman that provides a systematic development of this way of linking CTT and the dialogical conception of logic. However the Clerbout / Rahman book was written from the CTT perspective on dialogical logic, rather than the other way round. The present book should provide the perspective from the other side of the dialogue between the Dialogical Framework and Constructive Type Theory. The main idea of our present study is that Sundholm's (1997) notion of epistemic assumption is closely linked to the Copy-Cat Rule or Socratic Rule that distinguishes the dialogical framework from other game-theoretical approaches. One way to read the present book is as a further development of Sundholm’s extension of Austin's (1946, p. 171) remark on acts of assertion to inference. Indeed, Sundholm (2013, p. 17) gave the following forceful formulation: When I say therefore, I give others my authority for asserting the conclusion, given theirs for asserting the premisses.Per Martin-Löf, in recent lectures, have utilized the dialogical perspective on epistemic assumptions to get out of a certain circle that threatens the explanation of the notions of inference and demonstration. A demonstration may be explained as a chain of (immediate) inferences starting from no premisses. That an inference J1... Jn—————Jis valid means that the conclusion J can be made evident on the assumption that J1, …, Jn are known. The notion of epistemic assumption thus enters in the explanation of valid inference. We cannot, however, in this explanation understand 'known' in the sense of demonstrated, for then we are explaining the notion of inference in terms of demonstration, whereas demonstration has been explained in terms of inference. Martin-Löf suggests that we here understand 'known' in the sense of asserted, so that epistemic assumptions are judgements others have made, judgements for which others have taken the responsibility; that the inference is valid then means that, given that others have taken responsbility for the premisses, I can take responsibility for the conclusion:The circularity problem is this: if you define a demonstration to be a chain of immediate inferences, then you are defining demonstration in terms of inference. Now we are considering an immediate inference and we are trying to give a proper explanation of that; but, if that begins by saying: Assume that J1, …, Jn have been demonstrated – then you are clearly in trouble, because you are about to explain demonstration in terms of the notion of immediate inference, hence when you are giving an account of the notion of immediate inference, the notion of demonstration is not yet at your disposal. So, to say: Assume that J1, …, Jn have already been demonstrated, makes you accusable of trying to explain things in a circle. The solution to this circularity problem, it seems to me now, comes naturally out of this dialogical analysis. […]The solution is that the premisses here should not be assumed to be known in the qualified sense, that is, to be demonstrated, but we should simply assume that they have been asserted, which is to say that others have taken responsibility for them, and then the question for me is whether I can take responsibility for the conclusion. So, the assumption is merely that they have been asserted, not that they have been demonstrated. That seems to me to be the appropriate definition of epistemic assumption in Sundholm's sense. One of the main tenets of the present study is that the further move of relating the Socratic Rule rule with judgemental equality provides both a simpler and more direct way to implement the constructive type theoretical approach within the dialogical framework. Such a reconsideration of the Socratic Rule, roughly speaking, amounts to the following. 1.A move from P that brings-forward a play-object in order to defend an elementary proposition A can be challenged by O. 2.The answer to such a challenge, involves P bringing forward a definitional equality that expresses the fact that the play-object chosen by P copies the one O has chosen while positing A. For short, the equality expresses at the object-languaje level that the defence of P relies on the authority given to O to be able to produce the play-objects she brings forward. More generally, according to this view, a definitional equality established by P and brought forward while defending the proposition A, expresses the equality between a play-object (introduced by O) and the instruction for building a play-object deployed by O while affirming A. So it can be read as a computation rule that indicates how to compute O's instructions. Let us recall that from the strategic point of view, O's moves correspond to elimination rules of demonstrations. Thus, the dialogical rules that prescribe how to introduce a definitional equality – correspond – at the strategic level – to the definitional equality rules for CTT as applied to the selector-functions involved in the elimination rules. So, what we are doing here is extending the dialogical interpretation of Sundholm's epistemic assumption to the rules that set up the definitional equality of a type.The present work is structured in the following way:•In the Introduction we state the main tenets that guide our book•Chapter II contains a brief overview of Constructive Type Theory penned by Ansten Klev with exercises and their solutions. •Chapter III offers a novel presentation of the dialogical conception of logic. In fact, the first two sections of the chapter provide an overview of standard dialogical logic – including solved exercises, slightly adapted to the content of the present volume. The rest of the sections develop a new dialogical approach to Constructive Type Theory. •Chapters IV and V contain the main body of our study, namely the relation between the Socratic Rule, epistemic assumptions, and equality. The chapter provides the reader with thoroughly worked out examples with comments. •After the Final Remarks the book containsa.An appendix containing a an overview of all the rules for the new formulation of dialogical approach to constructive type theory developed in the book; b.a brief outline of Per Martin-Löf's informal presentation of the demonstration of the axiom of choice.c.two examples of a tree-shaped graph of an extensive strategy. Acknowledgments: Many thanks to Mark van Atten (Paris1), Giuliano Bacigalupo (Zürich), Charles Zacharie Bowao (Univ. Ma Ngouabi de Brazzaville, Congo), Christian Berner (Lille3), Michel Crubellier (Lille3), Pierre Cardascia (Lille3), Oumar Dia (Dakar), Marcel Nguimbi ((Univ. Marien Ngouabi de Brazzaville, Congo), Adjoua Bernadette Dango (Lille3 / Alassane Ouattara de Bouaké, Côte d'Ivoire), Steephen Rossy Eckoubili (Lille3), Johan Georg Granström (Zürich), Gerhard Heinzmann (Nancy2), Muhammad Iqbal (Lille3), Matthieu Fontaine (Lille3), Radmila Jovanovic (Belgrad), Hanna Karpenko (Lille3), Laurent Keiff (Lille3), Sébastien Magnier (Saint Dennis, Réunion), Clément Lion (Lille3), Gildas Nzokou (Libreville), Fachrur Rozie (Lille3), Helge Rückert (Mannheim), Mohammad Shafiei (Paris1), and Hassan Tahiri (Lisbon), for rich interchanges, suggestions on the main claims of the present study and proof-reading of specific sections of the text. Special thanks to Gildas Nzokou (Libreville), Steephen Rossy Eckoubili (Lille3) and Clément Lion (Lille3), with whom a Pre-Graduate Textbook in French on dialogical logic and CTT is in the process of being worked out – during the visiting-professorship in 2016 of the former. Eckoubili is the author of the sections on exercises for dialogical logic, Nzokou cared of those involving the development of CTT-demonstrations out of winning-strategies. Special thanks also to Ansten Klev (Prague) for helping with technical details and conceptual issues on CTT, particularly so as author of the chapter introducing CTT. (shrink)

Réseau LACTO (Langage, Argumentation et Cognition dans les Traditions Orales) Quatrième Rencontre du Réseau Lacto CELHTO, bureau de l'Union Africaine, Niamey, Niger, du 22 au 25 septembre 2015 : JEU ET ORALITE DANS LES SOCIETES A TRADITION ORALE According to the main stream approaches to epistemic notions, knowledge and belief are understood as propositional operators. Thus, • Gildas believes that there is a witch in his village is understood as expressing a proposition. Moreover, • Gildas knows that Gödel proved the (...) completeness of first-order logic, expresses a proposition too. The difference between both is that a belief-proposition can be true if it is " factually " false: in our case the proposition can be true in relation to Gildas's belief, that is, despite the fact that there is no witch in his village. Furthermore, assuming that there is not witch in his village, the following proposition is false • Gildas knows that there is a witch in his village. If the latter is false, from the point of view of the mainstream, there was not knowledge at all, rather it was from the start a belief that has not been verified. 1 The present paper is part of an ongoing project in the context of the research-program Argumentation, Decision, Action (ADA) and the project Logique, Argumentation et Cognition dans les Traditions Orales (LACTO) both supported by the Maison Européenne des Sciences de l' Homme et de la Société-USR 318 and by the laboratory UMR 8163: STL. (shrink)