Do you know who you are? If the question seems unclear, it might owe to the notion of ‘knowing-wh’ (knowing-who, knowing-what, knowing-when, etc.). Such knowledge contrasts with ‘knowing-that’, the more familiar topic of epistemologists. But these days, knowing-wh is receiving more attention than ever, and here we will survey three current debates on the nature of knowing-wh. These debates concern, respectively, (1) whether all knowing-wh is reducible to knowing-that (‘generalized intellectualism’), (2) whether all knowing-wh is relativized to a contrast proposition (...) (‘contrastivism about knowing-wh’), and (3) whether the context-sensitivity of knowing-wh is a semantic or purely pragmatic phenomenon (‘contextualism vs. invariantism about knowing-wh’). (shrink)

Questions embedded under responsive predicates and definite descriptions both give rise to a variety of phenomena which can be grouped under the term plurality effects: quantificational variability, cumulativity, and homogeneity effects. This similarity has not gone unnoticed, and many proposals have taken inspiration in theories of definite plurals to account for these effects with embedded questions. Recently these phenomena have received less attention, as the field has focused on the so-called intermediate exhaustive reading of embedded (...) questions instead, after Spector called into question the traditional dichotomy between weak and strong exhaustive readings. As a result, the intermediate exhaustive reading has been accounted for at the expense of empirical coverage in other areas. In this paper, I propose a modular theory which derives the currently much discussed exhaustive readings without giving up the rich semantics necessary to account for plurality effects. My account of quantificational variability, cumulativity, and homogeneity effects builds on recent work on these phenomena in the nominal domain by adopting a categorial approach to embedded questions, while the strong and intermediate exhaustive readings are implemented using an independent strengthening mechanism suggested in Klinedinst and Rothschild :1–23, 2011). The resulting theory not only recovers important results on plurality effects; it offers new, simple solutions for some puzzles presented in George :166–177, 2013) and Paillé and Schwarz Proceedings of WCCFL 36, vol 36, Cascadilla Proceedings Project, Somerville, 2018), naturally derives readings that had been postulated in previous literature, makes correct predictions in many unexplored cases, and is compatible with recent results in psycholinguistics. In the last sections I justify my assumptions and show how possible limitations I inherit from the theories I build on can be accommodated under standard assumptions. (shrink)

Linguists have realised for some time that predicates of the 'know' and 'wonder' classes behave differently in semantic terms with respect to their interrogative complements, but have not so far fully understood how or why. This book seeks to explore and to provide solutions to this and to related problems in explaining the meaning and grammar of embedded interrogatives and the predicates that take interrogative complements.

Attitude verbs fall in different categories depending on the kind of sentential complements which they can embed. In English, a verb like know takes both declarative and interrogative complements. By contrast, believe takes only declarative complements and wonder takes only interrogative complements. The present paper examines the hypothesis, originally put forward by Hintikka (1975), that the only verbs that can take both that -complements and whether -complements are the factive verbs. I argue that at least one half of the hypothesis (...) is empirically correct, namely that all veridical attitude verbs taking that -complements take whether -complements. I distinguish veridical verbs from factive verbs, and present one way of deriving the generalization. Counterexamples to both directions of the factivity hypothesis are discussed, in particular the case of emotive factive verbs like regret , and the case of non-veridical verbs that licence whether complements, in particular tell, guess, decide and agree . Alternative accounts are discussed along the way, in particular Zuber (1982), Ginzburg (1995) and Saebø (2007). (shrink)

Organizations such as the EU High-Level Expert Group on AI and the IEEE have recently formulated ethical principles and (moral) values that should be adhered to in the design and deployment of artificial intelligence (AI). These include respect for autonomy, non-maleficence, fairness, transparency, explainability, and accountability. But how can we ensure and verify that an AI system actually respects these values? To help answer this question, I propose an account for determining when an AI system can be said to embody (...) certain values. This account understands embodied values as the result of design activities intended to embed those values in such systems. AI systems are here understood as a special kind of sociotechnical system that, like traditional sociotechnical systems, are composed of technical artifacts, human agents, and institutions but—in addition—contain artificial agents and certain technical norms that regulate interactions between artificial agents and other elements of the system. The specific challenges and opportunities of embedding values in AI systems are discussed, and some lessons for better embedding values in AI systems are drawn. (shrink)

Emotive-factive predicates, such as surprise or be happy, are a source of empirical and theoretical puzzles in the literature on embedded questions. Although they embed wh-questions, they seem not to embed whether-questions. They have complex interactions with negative polarity items such as any or even, and they have been argued to preferentially give rise to weakly exhaustive readings with embedded questions. We offer an empirical overview of the situation in three experiments collecting acceptability judgments, (...) monotonicity judgments, and truth-value judgments. The results straightforwardly confirm the special selectional properties of emotive-factive predicates. More interestingly, they reveal the existence of strongly exhaustive readings for surprise. The results also suggest that the special properties of emotive-factives cannot be solely explained by their monotonicity profiles, because they were not found to differ from the profiles of other responsive predicates. (shrink)

Our paper addresses the following question: Is there a general characterization, for all predicates P that take both declarative and interrogative complements , of the meaning of the P-interrogative clause construction in terms of the meaning of the P-declarative clause construction? On our account, if P is a responsive predicate and Q a question embedded under P, then the meaning of ‘P + Q’ is, informally, “to be in the relation expressed by P to some potential complete answer to (...) Q”. We show that this rule allows us to derive veridical and non-veridical readings of embedded questions, depending on whether the embedding verb is veridical or not, and provide novel empirical evidence supporting the generalization. We then enrich our basic proposal to account for the presuppositions induced by the embedding verbs, as well as for the generation of intermediate exhaustive readings of embedded questions. (shrink)

Recently, an improvement in respect of simplicity was found by Rohan French over extant translations faithfully embedding the smallest congruential modal logic (E) in the smallest normal modal logic (K). After some preliminaries, we explore the possibility of further simplifying the translation, with various negative findings (but no positive solution). This line of inquiry leads, via a consideration of one candidate simpler translation whose status was left open earlier, to isolating the concept of a minimally congruential context. This amounts, roughly (...) speaking, to a context exhibiting no logical properties beyond those following from its being congruential (i.e., from its yielding provably equivalent results when provably equivalent formulas are inserted into the context). On investigation, it turns out that a context inducing a translation embedding E faithfully in K need not be minimally congruential in K. Several related minimality conditions are noted in passing, some of them of considerable interest in their own right (in particular, minimal normality). The paper is exploratory, raising more questions than it settles; it ends with a list of open problems. (shrink)

You can come to know that you believe that p partly by reflecting on whether p and then judging that p. Call this procedure “the transparency method for belief.” How exactly does the transparency method generate known self-attributions of belief? To answer that question, we cannot interpret the transparency method as involving a transition between the contents p and I believe that p. It is hard to see how some such transition could be warranted. Instead, in this context, one mental (...) action is both a judgment that p and a self-attribution of a belief that p. The notion of embedded mental action is introduced here to explain how this can be so and to provide a full epistemic explanation of the transparency method. That explanation makes sense of first-person authority and immediacy in transparent self-knowledge. In generalized form, it gives sufficient conditions on an attitude’s being known transparently. (shrink)

We study the computational content of various theorems with reverse mathematical strength around Arithmetical Transfinite Recursion (ATR_0) from the point of view of computability-theoretic reducibilities, in particular Weihrauch reducibility. Our main result states that it is equally hard to construct an embedding between two given well-orderings, as it is to construct a Turing jump hierarchy on a given well-ordering. This answers a question of Marcone. We obtain a similar result for Fraïssé's conjecture restricted to well-orderings.

Embedding Ethics questions why ethics have been divorced from scientific expertise. Invoking different disciplinary practices from biological, archaeological, cultural, and linguistic anthropology, contributors show how ethics should be resituated at the heart of, rather than exterior to, scientific activity. Positioning the researcher as a negotiator of significant truths rather than an adjudicator of a priori precepts enables contributors to relocate ethics in new sets of social and scientific relationships triggered by recent globalization processes--from new forms of intellectual and cultural (...) ownership to accountability in governance, and the very ways in which people are studied. Case studies from ethnographic research, museum display, archaeological fieldwork and professional monitoring illustrate both best practice and potential pitfalls. (shrink)

Next SectionIn recent years, the interpretation of scalar terms in embedded environments has been investigated extensively. Some experimentalists have been concerned with sentences like (1), in which a scalar term is embedded under a universal quantifier. The controversy involves the question whether ‘some’ in these sentences is interpreted as ‘some but not all’, thus leading to the embedded upper-bounded inference that no square is connected to all of the circles. (1) All the squares are connected with some (...) of the circles.Geurts & Pouscoulous (2009) conducted a verification task that seemed to prove that the inference is not licensed. In response, Clifton & Dube (2010) and Chemla & Spector (2011) gathered evidence suggesting the opposite conclusion. By experimentally investigating the typicality structure of complex quantified sentences like (1) above, I show how the results of the latter two experiments can be explained as typicality effects. Typicality plays a significant role in the comprehension of quantified sentences, thus complicating the interpretation of data from the kinds of experiments that have been employed to test between theories of upper-bounded inferences. (shrink)

Icelandic is the only Scandinavian language in which the verb always moves past negation, and other sentence adverbials, in embedded clauses. We follow everyone else and take this as evidence that Icelandic as opposed to the other Scandinavian languages has V°-to-I°1 movement (see, e.g., Kosmeijer 1986, Holmberg & Platzack 1990:101, Rohrbacher 1994:30-69, and Vikner 1994:118-127, 1995:ch.5). If we assume that negation and sentence adverbials mark the left edge of VP (they could be adjoined to VP or to TP, for (...) example), then the following embedded questions clearly show that the verb has to move to I° in Icelandic and remain lower in Swedish. (shrink)

Previous research on scalar implicature has primarily relied on meta-linguistic judgment tasks and found varying rates of such inferences depending on the nature of the task and contextual manipulations. This paper introduces a novel interactive paradigm involving both a production and a comprehension side and a precise conversational goal. The main research question is what is reliably communicated by some in this communicative setting, both when the quantifier occurs in unembedded and embedded positions. Our new paradigm involves an action-based (...) task from which participants’ interpretation of utterances can be inferred. It incorporates a game-theoretic design, thereby including a precise model to predict participants’ behaviour in the experimental context. Our study shows that embedded and unembedded implicatures are reliably communicated by some. We propose two cognitive principles that describe what can be left unsaid. In our experimental context, a production strategy based on these principles is more efficient than a strategy based on literal descriptions. (shrink)

Looking at the operation of forming neat $\alpha $ -reducts as a functor, with $\alpha $ an infinite ordinal, we investigate when such a functor obtained by truncating $\omega $ dimensions, has a right adjoint. We show that the neat reduct functor for representable cylindric algebras does not have a right adjoint, while that of polyadic algebras is an equivalence. We relate this categorial result to several amalgamation properties for classes of representable algebras. We show that the variety of cylindric (...) algebras of infinite dimension, endowed with the merry go round identities, fails to have the amalgamation property answering a question of Németi’s. We also study two variants of the so-called cylindric polyadic algebras introduced by Ferenczi (all are reducts of polyadic equality algebras, that are also varieties). We show that one is more cylindric than polyadic, and that the other is more polyadic than cylindric. Our classification is determined by results on neat embeddings and amalgamation expressed from the point of view of category theory, thereby witnessing, and, indeed, further emphasizing, the dichotomy between the cylindric and polyadic paradigms. For example, the first class does not have the unique neat embedding property, fails to have the amalgamation property and the neat reduct functor does not have a right adjoint, while the second class has the unique neat emdedding property, the superamalgamation property and the neat reduct functor is strongly invertible. Other results, like first order definability of the class of neat reducts and the class of completely representable algebras, confirming our classification along these lines are presented. (shrink)

The National Science Foundation (NSF) in the United States, like many other funding agencies all over the globe, has made large investments in interdisciplinary research in the sciences and engineering, arguing that interdisciplinary research is an essential resource for addressing emerging problems, resulting in important social benefits. Using NSF as a case study for problem that might be relevant in other contexts as well, I argue that the NSF itself poses a significant barrier to such research in not sufficiently appreciating (...) the value of the humanities as significant interdisciplinary partners. This essay focuses on the practices of philosophy as a highly valuable but currently under-appreciated partner in achieving the goals of interdisciplinary research. This essay advances a proposal for developing deeper and wider interdisciplinary research in the sciences through coupled ethical-epistemological research. I argue that this more robust model of interdisciplinary practice will lead to better science by providing resources for understanding the types of value decisions that are entrenched in research models and methods, offering resources for identifying the ethical implications of research decisions, and providing a lens for identifying the questions that are ignored, under-examined, and rendered invisible through scientific habit or lack of interest. In this way, we will have better science both in the traditional sense of advancing knowledge by building on and adding to our current knowledge as well as in the broader sense of science for the good of, namely, scientific research that better benefits society. (shrink)

We focus on a particular class of computably enumerable degrees, the array noncomputable degrees defined by Downey, Jockusch, and Stob, to answer questions related to lattice embeddings and definability in the partial ordering of c. e. degrees under Turing reducibility. We demonstrate that the latticeM5 cannot be embedded into the c. e. degrees below every array noncomputable degree, or even below every nonlow array noncomputable degree. As Downey and Shore have proved that M5 can be embedded below (...) every nonlow2 degree, our result is the best possible in terms of array noncomputable degrees and jump classes. Further, this result shows that the array noncomputable degrees are definably different from the nonlow2 degrees. We note also that there are embeddings of M5 in which all five degrees are array noncomputable, and in which the bottom degree is the computable degree 0 but the other four are array noncomputable. (shrink)

The European Union Commission’s whitepaper on Artificial Intelligence proposes shaping the emerging AI market so that it better reflects common European values. It is a master plan that builds upon the EU AI High-Level Expert Group guidelines. This article reviews the masterplan, from a culture cycle perspective, to reflect on its potential clashes with current societal, technical, and methodological constraints. We identify two main obstacles in the implementation of this plan: the lack of a coherent EU vision to drive future (...) decision-making processes at state and local levels and the lack of methods to support a sustainable diffusion of AI in our society. The lack of a coherent vision stems from not considering societal differences across the EU member states. We suggest that these differences may lead to a fractured market and an AI crisis in which different members of the EU will adopt nation-centric strategies to exploit AI, thus preventing the development of a frictionless market as envisaged by the EU. Moreover, the Commission aims at changing the AI development culture proposing a human-centred and safety-first perspective that is not supported by methodological advancements, thus taking the risks of unforeseen social and societal impacts of AI. We discuss potential societal, technical, and methodological gaps that should be filled to avoid the risks of developing AI systems at the expense of society. Our analysis results in the recommendation that the EU regulators and policymakers consider how to complement the EC programme with rules and compensatory mechanisms to avoid market fragmentation due to local and global ambitions. Moreover, regulators should go beyond the human-centred approach establishing a research agenda seeking answers to the technical and methodological open questions regarding the development and assessment of human-AI co-action aiming for a sustainable AI diffusion in the society. (shrink)

The present article addresses the question of whether, and to what extent, critical thinking should make attunement to current social and political landscapes central to its practice. I begin by outlining what I consider to be the basic positions in the debate about the political contextualisation of critical thinking, which are referred to as the crypto-Enlightenment and the critical pedagogical models. I argue, on the basis of various strands of research, that there is a prima facie case to be made (...) in favour of the critical pedagogical position that favours forefronting the social and political context of critical thinking and thinking in general. I then draw attention, however, to problems of coherence and justification in the critical pedagogical position, before turning, finally, to an alternative grounding of critical thinking that takes seriously the historical and social contextualisation of thinking without the coherence problems of critical pedagogy. My conclusion is that while the critical pedagogical model is right to point to the fatal incompleteness of Enlightenment-style critical thinking due to its failure to properly acknowledge the norm-saturated nature of historical consciousness, critical pedagogy itself fails to offer a coherent alternative to the problem of integrating value and rationality in a more full-blown grounding of critical thinking. I suggest that a hermeneutical model that integrates the rational, axiological and historical moments in consciousness provides a more satisfying foundation for understanding the trajectory and purpose of critical thinking. (shrink)

1 INTIMACY Among Descartes's most and consequential achievements has been his of the mental as an independent ontological domain. By taking the mind as a substance, with cognitions as its modes, he accorded them a status as self-standing and determinate on their own, without essential regard to other entities. Only with this metaphysical conception in place, could the idea of solipsism-the idea of an intact ego existing with nothing else in the universe-so much as make sense. And behind that engine (...) have trailed the sorry boxcars of hyperbolic doubt. the mind-body problem, the problem of the external world, the problem of other minds, and so on. -/- Although the assumptions have been under fire, off and on. at least since Hegel-including with renewed intensity in recent years … the Cartesian separation that is still so pervasive as to be almost invisible. In particular, inter-relationist accounts retain a principled distinction between the mental and the corporeal-a distinction that is reflected in contrasts like semantics versus syntax, the space of reasons versus the space of causes, or the intentional versus the physical. (Notice that each of these contrasts can be heard either as higher versus lower’ level" or as inner versus outer 'sphere‘.) The contrary of this separation-or battery of separations-is not inter-relationist holism but something that I would like to call the intimacy of the mind's embodiment and embeddedness in the world. The term 'intimacy' is meant to suggest more than just necessary interrelation or interdependence but a kind of commingling or integralness of mind, body,and world-that is, to undermine their very distinctness. The challenge is as much to spell out what this could mean as to make a case for it. Indeed, no sooner does such a possibility seem intelligible at all, than ways bring out its plausibility and significance turn up everywhere. -/- There is little original in what follows. The strategy will be to bring some well known principles of systems analysis to bear on the mind- body-world 'system' in a way that refocuses questions of division and unity, and then to canvas a selection of investigations and proposals - some fairly recent, others not-in the light of this new focus. The hope is that these superficially disparate ideas, none of them new, will seem to converge around the theme of intimacy in a way that illuminates and supports them all. Sorting and and aligning issues in this manner has sometimes been discussed under titles like 'embedded computation’ and 'situated cognition'. (shrink)

First published in 1996, _The Embedded Self_ was lauded as "a brilliant and long overdue rapprochement between psychoanalysis and family therapy conceived by a practitioner trained and experienced in both modalities of treatment." Mary-Joan Gerson’s integrated presentation of psychodynamic and family systems theory invited therapists of either orientation to learn the tools and techniques of the other, to mutual benefit. Firmly grounded in detailed case presentations, her focus on family therapy examined its history, organizing concepts, and developmental approaches, and (...) addressed practical questions of diagnosis, clinical interaction, and referrals. A dozen years later, the psychoanalytic community is more open to integrating perspectives, and the growth of analysts working with couples and families necessitates an update of the material presented in _The Embedded Self_. Similarly, the family therapy community has deepened its interest in individual dynamics within systemic patterning. From a new and revised perspective on the possibilities of integration, Gerson covers the latest research in neuroscience and the transmission of affect within intimate relationships, with a new chapter on attachment theory and emotionally focused therapy. Sections on narrative therapy and psychoanalytically-oriented family therapy are expanded as well. _The Embedded Self_ was a sterling introduction to family systems theory and therapy, and enhanced the work of analysts and family and couples therapists alike. The second edition proves no different in its context but wider in its scope, further enhancing the work of the family therapist interested in individual dynamics, and preparing the psychodynamically-oriented therapist who seeks to extend her craft from the dyad to the triad, and beyond. (shrink)

Do the partial order and ortholattice operations of a quantum logic correspond to the logical implication and connectives of classical logic? Rephrased, How far might a classical understanding of quantum mechanics be, in principle, possible? A celebrated result of Kochen and Specker answers the above question in the negative. However, this answer is just one among various possible ones, not all negative. It is our aim to discuss the above question in terms of mappings of quantum worlds into classical ones, (...) more specifically, in terms of embeddings of quantum logics into classical logics; depending upon the type of restrictions imposed on embeddings, the question may get negative or positive answers. (shrink)

New products and services that tackle grand societal challenges often require changes in societal norms, values, and expectations. This research investigates the question of how innovating actors shape these informal institutions throughout the innovation process by drawing on the literature on social innovation and institutional theory. In a comparison of four case studies, we observe that all innovating actors under study engage in a diverse set of practices to challenge and shape societal norms and expectations as well as user habits (...) and routines throughout the innovation process. These activities can be clustered into unilateral, bilateral, and multilateral change processes, depending on the number of actors involved. Our findings highlight how different types of direct and indirect interactions between innovating actors and users along the innovation process shape the understanding of social innovation, and stress the central role of physical experiences and positive emotions among (future) users. Thereby, we provide for a more nuanced view of how companies that aim to bring technologies with different characteristics of innovativeness to the market shape the informal institutional environment throughout the different phases of the innovation process. (shrink)

We solve a longstanding question of Rosenstein, and make progress toward solving a longstanding open problem in the area of computable linear orderings by showing that every computable ƞ-like linear ordering without an infinite strongly ƞ-like interval has a computable copy without nontrivial computable self-embedding. The precise characterization of those computable linear orderings which have computable copies without nontrivial computable self-embedding remains open.

In lieu of an abstract, here is a brief excerpt of the content:Embedding Creativity in Teaching and LearningHoward Cannatella (bio)IntroductionCreative teaching ranges from the view that creativity is necessary for a changing knowledge economy to a more individualized view that encompasses a person-centered approach. None of these views are advanced in this essay, as I feel that there are important weaknesses in taking either position. Instead, my main purpose is to discuss how certain kinds of creative activity can substantially transform (...) educational practice without necessarily succumbing to any of the above conceptions of creativity. My educational approach to creative activity relates to one aspect of Alasdair Macintyre's, After Virtue; the notion that creativity only flourishes via a devotion to a particular practice.1 For such practice to flourish it has to immerse itself in a type of personal address that revolves and combines in various ways what Maurice Merleau-Ponty refers to as "self-others-things."2Any claim to suggest that education should engage creativity more than it currently does can stir some reasonable criticism, for there are clearly a plethora of other important factors to consider in student learning. Yet, to a degree, the practice of creativity is, I think, being dissipated and weakened, where ambivalence and ill-informed ideas are increasingly obscuring its place. My own thinking on this displacement which has some connections with John White's view and in a different sense with Howard Gardner's, is that if we offer via teaching situations geometrical puzzles, visual problem solving exercises and the like, such exercises although perhaps amusing in themselves are hardly taking up the same refined order of creative display exhibited by those most credited as being creatively talented.3 Indeed, to surmise that creativity is a construal of left hand side verses right hand side brain activity; that one can show different color cards on a monitor or play a short excerpt of Beethoven's Pastoral symphony in order to accelerate student learning are at the very least questionable creative assumptions. In [End Page 59] contrast, what I aim to show from one perspective as a crucial distinction is how creativity is involved in fundamental painstaking ways with the phenomenological. When the landscape of this kind of learning presupposes the opening of oneself to the world, the stretching of a mind, the thickening of one's perceptions, and the discovery of a deeper and richer self through living, one will tend to experience as life enhancing more of nature, previously unfelt and articulated modes of being in the world.Clearly, as a lecturer one has to inspire students. One of the best ways I know of doing this is through satisfying and intensifying students' creative appetite. Although I will not discuss it here there is some evidence to suggest that the need for creativity is biologically, physically, and psychologically an essential part of human nature, necessary for human-reproduction, growth, and cultural striving.4 The lecturer who fails to stimulate students' creativity, their being in the world, may be unwittingly inhibiting their cognitive, emotional, and physical well-being; preventing them from realizing their potential. Indeed, some learning problems can be attributed to the unconscious or deliberate stifling of creativity in student lives. We can see this happening when one feels emotionally or intellectually repressed, unable to express oneself openly, to take delight in what one has achieved, to note one's own unique sensitivity, and to experience personally the many wonders in the world. Although we may not articulate it, without a modicum of creative outlet, life can appear very cruel. Further, some of the benefits of creativity can be seen in studio teaching situations in which, as Charles Bingham and Alexander Sidorkin imply, the dynamics of aesthetic creativity encourage power-sharing and the fostering of non-dominated pedagogical relationships.5 As both Immanuel Kant and Friedrich Schiller realized two centuries ago, creativity has the capacity to foster educationally a particular kind of freedom essential to sustaining an alert, liberal, and questioning mind.6 There is also much empirical evidence, at least in the arts, to show how creative practice can assist the clarification of ideas, advancement in thought, and concentration in learning. The notebooks, papers, and recordings of Mozart... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Embedding Creativity in Teaching and LearningHoward Cannatella (bio)IntroductionCreative teaching ranges from the view that creativity is necessary for a changing knowledge economy to a more individualized view that encompasses a person-centered approach. None of these views are advanced in this essay, as I feel that there are important weaknesses in taking either position. Instead, my main purpose is to discuss how certain kinds of creative activity can substantially transform (...) educational practice without necessarily succumbing to any of the above conceptions of creativity. My educational approach to creative activity relates to one aspect of Alasdair Macintyre's, After Virtue; the notion that creativity only flourishes via a devotion to a particular practice.1 For such practice to flourish it has to immerse itself in a type of personal address that revolves and combines in various ways what Maurice Merleau-Ponty refers to as "self-others-things."2Any claim to suggest that education should engage creativity more than it currently does can stir some reasonable criticism, for there are clearly a plethora of other important factors to consider in student learning. Yet, to a degree, the practice of creativity is, I think, being dissipated and weakened, where ambivalence and ill-informed ideas are increasingly obscuring its place. My own thinking on this displacement which has some connections with John White's view and in a different sense with Howard Gardner's, is that if we offer via teaching situations geometrical puzzles, visual problem solving exercises and the like, such exercises although perhaps amusing in themselves are hardly taking up the same refined order of creative display exhibited by those most credited as being creatively talented.3 Indeed, to surmise that creativity is a construal of left hand side verses right hand side brain activity; that one can show different color cards on a monitor or play a short excerpt of Beethoven's Pastoral symphony in order to accelerate student learning are at the very least questionable creative assumptions. In [End Page 59] contrast, what I aim to show from one perspective as a crucial distinction is how creativity is involved in fundamental painstaking ways with the phenomenological. When the landscape of this kind of learning presupposes the opening of oneself to the world, the stretching of a mind, the thickening of one's perceptions, and the discovery of a deeper and richer self through living, one will tend to experience as life enhancing more of nature, previously unfelt and articulated modes of being in the world.Clearly, as a lecturer one has to inspire students. One of the best ways I know of doing this is through satisfying and intensifying students' creative appetite. Although I will not discuss it here there is some evidence to suggest that the need for creativity is biologically, physically, and psychologically an essential part of human nature, necessary for human-reproduction, growth, and cultural striving.4 The lecturer who fails to stimulate students' creativity, their being in the world, may be unwittingly inhibiting their cognitive, emotional, and physical well-being; preventing them from realizing their potential. Indeed, some learning problems can be attributed to the unconscious or deliberate stifling of creativity in student lives. We can see this happening when one feels emotionally or intellectually repressed, unable to express oneself openly, to take delight in what one has achieved, to note one's own unique sensitivity, and to experience personally the many wonders in the world. Although we may not articulate it, without a modicum of creative outlet, life can appear very cruel. Further, some of the benefits of creativity can be seen in studio teaching situations in which, as Charles Bingham and Alexander Sidorkin imply, the dynamics of aesthetic creativity encourage power-sharing and the fostering of non-dominated pedagogical relationships.5 As both Immanuel Kant and Friedrich Schiller realized two centuries ago, creativity has the capacity to foster educationally a particular kind of freedom essential to sustaining an alert, liberal, and questioning mind.6 There is also much empirical evidence, at least in the arts, to show how creative practice can assist the clarification of ideas, advancement in thought, and concentration in learning. The notebooks, papers, and recordings of Mozart... (shrink)

Consider the problem which set V of propositional variables suffices for whenever, where, and ⊢c and ⊢i denote derivability in classical and intuitionistic implicational logic, respectively. We give a direct proof that stability for the final propositional variable of the (implicational) formula A is sufficient; as a corollary one obtains Glivenko's theorem. Conversely, using Glivenko's theorem one can give an alternative proof of our result. As an alternative to stability we then consider the Peirce formula. It is an easy consequence (...) of the result above that adding a single instance of the Peirce formula suffices to move from classical to intuitionistic derivability. Finally we consider the question whether one could do the same for minimal logic. Given a classical derivation of a propositional formula not involving ⊥, which instances of the Peirce formula suffice as additional premises to ensure derivability in minimal logic? We define a set of such Peirce formulas, and show that in general an unbounded number of them is necessary. (shrink)

Here we prove that if T and T′ are strongly minimal theories, where T′ satisfies a certain property related to triviality and T does not, and T′ is model complete, then there is no computable embedding of Mod(T) into Mod(T′). Using this, we answer a question from [4], showing that there is no computable embedding of VS into ZS, where VS is the class of infinite vector spaces over Q, and ZS is the class of models of Th(Z, S). Similarly, (...) we show that there is no computable embedding of ACF into ZS, where ACF is the class of algebraically closed fields of characteristic 0. (shrink)

Open peer commentary on the article “Beyond Technocentrism: Supporting Constructionism in the Classroom” by Karen Brennan. Upshot: Brennan describes ways by which teachers can be supported to bypass a technocentric view of learning with technology in the classroom, from a constructionist perspective. She reports on the development of a corresponding model of professional development by describing the elements of the model and its design principles as well as the tensions that arose while trying to support teachers’ explorations and experiences in (...) the classroom. Questions arise about the potential of the model to be exploited to address issues underlying teachers’ professional development in different contexts. (shrink)

Open peer commentary on the article “Beyond Technocentrism: Supporting Constructionism in the Classroom” by Karen Brennan. Upshot: Brennan describes strategies designed to help teachers use Scratch in their classrooms, emphasising interfaces between the tool and its users, between users and between hope and happening. Previous work with similar aims identified apparently significant cultural approaches to initiating constructionist practice. Questions arise about the development of practice from technocentric to pedagogic over time that may have some answers in the data accumulated.

The ability to process center‐embedded structures has been claimed to represent a core function of the language faculty. Recently, several studies have investigated the learning of center‐embedded dependencies in artificial grammar settings. Yet some of the results seem to question the learnability of these structures in artificial grammar tasks. Here, we tested under which exposure conditions learning of center‐embedded structures in an artificial grammar is possible. We used naturally spoken syllable sequences and varied the presence of prosodic (...) cues. The results suggest that mere distributional information does not suffice for successful learning. Prosodic cues marking the boundaries of the major relevant units, however, can lead to learning success. Thus, our data are consistent with the hypothesis that center‐embedded syntactic structures can be learned in artificial grammar tasks if language‐like acoustic cues are provided. (shrink)

We consider the strongest forms of enumeration reducibility, those that occur between 1- and npm-reducibility inclusive. By defining two new reducibilities which are counterparts to 1- and i-reducibility, respectively, in the same way that nm- and npm-reducibility are counterparts to m- and pm-reducibility, respectively, we bring out the structure of the strong reducibilities. By further restricting n1- and nm-reducibility we are able to define infinite families of reducibilities which isomorphically embed the r. e. Turing degrees. Thus the many well-known results (...) in the theory of the r. e. Turing degrees have counterparts in the theory of strong reducibilities. We are also able to positively answer the question of whether there exist distinct reducibilities ≤y and ≤a between ≤e and ≤m such that there exists a non-trivial ≤y-contiguous ≤z degree. (shrink)

This paper presents an artifactual approach to models that also addresses their fictional features. It discusses first the imaginary accounts of models and fiction that set model descriptions apart from imagined-objects, concentrating on the latter :251–268, 2010; Frigg and Nguyen in The Monist 99:225–242, 2016; Godfrey-Smith in Biol Philos 21:725–740, 2006; Philos Stud 143:101–116, 2009). While the imaginary approaches accommodate surrogative reasoning as an important characteristic of scientific modeling, they simultaneously raise difficult questions concerning how the imagined entities are (...) related to actual representational tools, and coordinated among different scientists, and with real-world phenomena. The artifactual account focuses, in contrast, on the culturally established external representational tools that enable, embody, and extend scientific imagination and reasoning. While there are commonalities between models and fictions, it is argued that the focus should be on the fictional uses of models rather than considering models as fictions. (shrink)

We consider the following question of Kunen: Does Con(ZFC + ∃M a transitive inner model and a non-trivial elementary embedding j: M $\longrightarrow$ V) imply Con (ZFC + ∃ a measurable cardinal)? We use core model theory to investigate consequences of the existence of such a j: M → V. We prove, amongst other things, the existence of such an embedding implies that the core model K is a model of "there exists a proper class of almost Ramsey cardinals". Conversely, (...) if On is Ramsey, then such a j, M are definable. We construe this as a negative answer to the question above. We consider further the consequences of strengthening the closure assumption on j to having various classes of fixed points. (shrink)

The paper outlines the analysis of certain question types in the Commitment Space framework, as presented in Krifka (2015). The two basic ideas are: Assertions and most questions involve commitments of speaker and addressee to the truth of a proposition, and questions consist in restricting the continuation of the conversation to answers to the question. The main focus is on breadth, not depth and the detailed comparison with alternative approaches, and on semantic modelling, not on the syntactic and (...) prosodic realizations. Topics are polar questions and their bias, alternative questions, constituent questions, high negation in questions, declarative questions, root vs. embedded questions, and deliberative questions. (shrink)

Embedded Rationality1 Philosophers and laymen alike have traditionally assumed that whether you can reason well, make valid inferences, avoid logical mistakes and so forth is entirely a matter of how well the cogs in your head are fashioned and oiled. Partner to this is the assumption that careful reflection is always the method by which we discover whether an inference or reasoning process is correct. In particular, further experience, observation or experiment never bear on the question whether an inference (...) is valid. Validity is best checked with your eyes tightly closed so you can attend solely to the internal relations among your ideas. (shrink)

We consider the following question of Kunen: Does Con imply Con? We use core model theory to investigate consequences of the existence of such a j : M $\rightarrow$ V. We prove, amongst other things, the existence of such an embedding implies that the core model K is a model of "there exists a proper class of almost Ramsey cardinals". Conversely, if On is Ramsey, then such a j, M are definable. We construe this as a negative answer to the (...) question above. We consider further the consequences of strengthening the closure assumption on j to having various classes of fixed points. (shrink)

Altruism and solidarity are concepts that are closely related to organ donation for transplantation. On the one hand, they are typically used for encouraging people to donate. On the other hand, they also underpin the regulations in force in each country to different extents. They are often used indistinctly and equivocally, despite the different ethical implications of each concept. This paper aims to clarify to what extent we can speak of altruism and solidarity in the predominant models of organ donation. (...) It also raises the ethical question of whether these categories are adequate as a basis for such models, bearing in mind that organs are a scarce resource and that a shortage of them may mean that fewer lives are saved or improved. (shrink)

It is not clear whether breast cancer screening is a public health intervention or an individual clinical service. The question is important because the concepts best suited for ethical reasoning in public health might be different to the concepts commonly employed in biomedical ethics. We consider it likely that breast screening has elements of a public health intervention and used an empirical ethics approach to explore this further. If breast screening has public health characteristics, it is probable that policy and (...) practice experts will employ socially embedded concepts when reasoning about it. We gathered data on whether and how these concepts existed in the discussion and reasoning of Australian breast screening experts. We found that experts employed these concepts when talking about the purpose and practices of breast screening, and the behaviour of breast screening professionals and consumers. Experts gave varied judgements about breast screening based on reasoning with these concepts, considering it to be more or less successful in contributing to the public interest and in incorporating socially embedded concepts into its operational agenda. Our findings are compatible with breast screening having public health characteristics. We advocate for the incorporation of socially embedded concepts in breast screening policy and practice. (shrink)

First paragraph: When we perform bodily gestures, are we ever literally thinking with our hands (arms, shoulders, etc.)? In the more precise, but correspondingly drier, technical language of contemporary philosophy of mind and cognition, essentially the same question might be asked as follows: are bodily gestures ever among the material vehicles that realize cognitive processes? More precisely still, is it ever true that a coupled system made up of neural activity and bodily gestures counts as realizing a process of thought, (...) in such a way that the gross bodily movements concerned should be granted cognitive status along with, and in essentially the same sense as, the neural activity? (shrink)

This paper establishes a conjecture of Steel [7] regarding the structure of elementary embeddings from a level of the cumulative hierarchy into itself. Steel’s question is related to the Mitchell order on these embeddings, studied in [5] and [7]. Although this order is known to be illfounded, Steel conjectured that it has certain large wellfounded suborders, which is what we establish. The proof relies on a simple and general analysis of the much broader class of extender embeddings and a variant (...) of the Mitchell order called the internal relation. (shrink)

This paper concerns the proper definition of embeddings in purely category-theoretical terms. It is argued that plain category theory cannot capture what, in the general case, constitutes an embedding of one structure in another. We discuss three available solutions to this problem: variants of monics, concrete categories, and allegories. The first and last of these are found to be unable to solve the problem, and the second to be philosophically unsatisfactory. Instead, we introduce a theory of forms and relators, which, (...) like allegory theory, attempts to abstract from relation algebras in the way that categories abstract from monoids, but which does not have the shortcomings we have identified in allegories. We show that the theory in question does indeed solve the problem of defining embeddings. (shrink)

Concealed questions are determiner phrases that are naturally paraphrased as embedded questions (e.g., John knows the capital of Italy ≈ John knows what the capital of Italy is). This paper offers a novel account of the interpretation of concealed questions, which assumes that an entity-denoting expression α may be type-shifted into an expression ?z.P(α), where P is a contextually determined property, and z ranges over a contextually determined domain of individual concepts. Different resolutions of P and (...) the domain of z yield a wide range of concealed question interpretations, some of which were not noted previously. On the other hand, principled constraints on the resolution process prevent overgeneration. (shrink)

This paper presents a case study of the South African operation of a logistics company, operating in a context of short-termism and under-performance. Frustration with managing in this context, and concern that this environment might erode the customer value proposition, prompted an exploration of the question: “How can the business prioritise its investment in intangibles to support sustainable growth in an environment of short-termism and sub-par business performance?” The study followed an inductive grounded theory approach and began with an exploration (...) of the system of short-termism as it was being experienced by the management team. This evolved in an iterative process to include an exploration of the customer value proposition, the organisation’s capabilities and the system of investment in intangibles. Data were collected over a period of 6 months, across a series of four stages as the management team grappled with the short-term financial objectives imposed on them. The data categories were used to develop 214 propositions across all stages. Through the four stages, four artefacts were developed from the propositions a causal loop diagram of the system of short-termism; a documented value proposition; an assessment of the health of the business’ capitals; and a multi-year intangibles investment programme. The findings indicate that a focus on investment in intangible assets can play a vital role in stimulating sustainable value creation in an environment of historically poor returns on investment and pressure for short-term financial results. It is suggested that investment in intangibles can be introduced as a multi-year capabilities investment plan. The study succeeded in getting investment in intangibles approved and the implication is that long-term decision-making can co-exist in an environment of short-termism and low growth. (shrink)