A question dating to Mardešić and Prasolov’s 1988 work [S. Mardešić and A. V. Prasolov, Strong homology is not additive, Trans. Amer. Math. Soc. 307(2) (1988) 725–744], and motivating a considerable amount of set theoretic work in the years since, is that of whether it is consistent with the ZFC axioms for the higher derived limits [Formula: see text] [Formula: see text] of a certain inverse system [Formula: see text] indexed by [Formula: see text] to simultaneously vanish. An equivalent formulation (...) of this question is that of whether it is consistent for all [Formula: see text]-coherent families of functions indexed by [Formula: see text] to be trivial. In this paper, we prove that, in any forcing extension given by adjoining [Formula: see text]-many Cohen reals, [Formula: see text] vanishes for all [Formula: see text]. Our proof involves a detailed combinatorial analysis of the forcing extension and repeated applications of higher-dimensional [Formula: see text]-system lemmas. This work removes all large cardinal hypotheses from the main result of [J. Bergfalk and C. Lambie-Hanson, Simultaneously vanishing higher derived limits, Forum Math. Pi 9 (2021) e4] and substantially reduces the least value of the continuum known to be compatible with the simultaneous vanishing of [Formula: see text] for all [Formula: see text]. (shrink)

The question of meaning in life has enjoyed renewed attention in analytic discourse over the last few decades. Despite the apparently “existential” quality of this topic, existential philosophy has had little impact on this re-energized conversation. This paper draws on Kierkegaard’s _The Sickness unto Death_ in order to challenge the objectivist theory of meaning in life. According to that theory, a meaningful life is one replete with objective goods. Kierkegaard, however, exposits four forms of the spiritual sickness he calls despair (...) that are compatible with the possession of objective goods. If this account is convincing, it poses a challenge to the objectivist view, suggesting that a subjective contribution is also necessary to fully account for meaning in life. By a process of negative inference, this paper concludes by sketching out what this subjective contribution might look like and suggests the term “authenticity” in order to capture this subjective element of a meaningful life. (shrink)

For Henry the question ‘Can the truth be learned?’ is as much an aporia as it was for Kierkegaard, and both thinkers ask this question not in order to solve some abstract or pedantic epistemological issue but because the truth they seek is the one that is appropriate to human beings and their salvation. This paper examines Henry’s and Kierkegaard’s answers to the question of how the truth is learned, and in the course of this examination will necessarily have occasion (...) to compare the two thinkers’ accounts of paradox and the phenomenality of Christ, two themes that bring into focus the nature of truth in both thinkers. The paper begins with an analysis of Henry’s theory of two truths, one of the world and the other of life. These two truths collide in the crucial eleventh chapter of I Am the Truth, which elucidates Henry’s understanding of paradox and the role it plays in his phenomenology. Finally, the paper entertains some questions for his theory that a Kierkegaardian might raise. Throughout it can be seen that despite his appreciation of Kierkegaard, Henry’s account of paradox and the specific mode of revelation that is appropriate to the Christ deviates from the Dane’s theory. Furthermore, it would seem that in a similar fashion their understandings of what counts as a paradox ultimately differ in such a way that Henry’s supposed paradoxes turn out to be by his own admission merely apparent, whereas for Kierkegaard (and perhaps in this respect his theory is a bit closer to ordinary intuitions about what it means for a truth to be paradoxical), paradox is an ineradicable feature of the highest kind of truth as reason confronts it. The thesis then that for Henry paradox and the tension between two kinds of truth are merely apparent whereas for Kierkegaard they are intensified is not merely of interest in establishing a proper reading of each respective thinker; it affects our understanding of the phenomenological notions of world, truth, and the absolute as well as establishing divergences of considerable theological interest. What is at stake is the exact status of the kind of truth phenomenology will privilege and the bearing that this question has upon the nature of the world and phenomenality. (shrink)

Soren Kierkegaard's Fear and Trembling is one of the most widely read works of Continental philosophy and the philosophy of religion. While several commentaries and critical editions exist, Jeffrey Hanson offers a distinctive approach to this crucial text. Hanson gives equal weight and attention to all three of Kierkegaard’s "problems," dealing with Fear and Trembling as part of the entire corpus of Kierkegaard's production and putting all parts into relation with each other. Additionally, he offers a distinctive (...) analysis of the Abraham story and other biblical texts, giving particular attention to questions of poetics, language, and philosophy, especially as each relates to the aesthetic, the ethical, and the religious. Presented in a thoughtful, well-informed, and fresh manner, Hanson’s claims are original and edifying. This new reading of Kierkegaard will stimulate fruitful dialogue on well-traveled philosophical ground. (shrink)

ABSTRACT This article engages Frater Taciturnus’s ‘Letter to the Reader’ to argue for a religious aesthetics in Kierkegaard. This religious aesthetics is designed to purify the passions and help the believer ‘see’ the religious ideal, but also to confront the aesthetic spectator with the religious reality of her own situation. My claim for this revised reading of religious poetics in Kierkegaard derives from Taciturnus’s view of a superior form of religious ideality that comes ‘after actuality’. This ideality is not an (...) envisioned ideal that is untested by actuality and thus ‘illusory’ but an ideal that is graspable only after the self has acknowledged the actuality of their sinful condition, rather than any specific actual sin. To appreciate this form of ideality, Frater Taciturnus repeatedly resorts to visual metaphors and the power of imagination, suggesting that the religious ideal must be ‘seen’ with a sort of synoptic vision capable of looking past both comedy and tragedy and resulting in the purification of our typical affective responses to aesthetic objects. Seeing in this way, the individual imaginatively engages in religious aesthetics and grasps the religious ideality by affirming the actuality of their own sinfulness and receiving forgiveness for that sinfulness. (shrink)

Geoff Andrew _The 'Three Colours' Trilogy_ (BFI Modern Classics) London: British Film Institute ISBN: 0-85170-569-3 96 pp.

In a recent article Iddo Landau has defended his distinction between perspectives on and standards of meaning in life to support his rebuttal of a familiar pessimistic objection to the meaningfulness of human life. According to that complaint, human life is meaningless when viewed from a detached, cosmic, or sub specie aeternitatis [SSA] perspective. Landau argues that a cosmic perspective need not entail a comparably high standard of meaningfulness. What counts on his view then is not the perspective, which is (...) compatible with any number of possible standards for what constitutes an adequate amount of meaningfulness, but the standard that sets that threshold. In this article I argue that Landau has 1.a.) underestimated the severity of the pessimists’ critique of the availability of any standards for meaningfulness and has also 1.b.) misunderstood the pessimists to be saying that human lives are meaningless because they make an insufficient spatio-temporal impact. I argue further that 2.a.) Landau has left unexplained on what basis we would locate the standard of meaning, leaving a gap in his account. Finally, I maintain that 2.b.) by acknowledging that the ontological, normative, or theological content of the SSA perspective can influence the placing of that standard, Landau leaves himself open to the plausible alternative possibility that the meaning of a life is settled not by the standard itself but by the character attributed to the SSA perspective. (shrink)

Intuition is surely a theme of singular importance to phenomenology, and Henry writes sometimes as if intuition should receive extensive attention from phenomenologists. However, he devotes relatively little attention to the problem of intuition himself. Instead he off ers a complex critique of intuition and the central place it enjoys in phenomenological speculation. This article reconstructs Henry’s critique and raises some questions for his counterintuitive theory of intuition. While Henry cannot make a place for the traditional sort of intuition given (...) his commitment to the primacy of life as the natural and spontaneous habitation of consciousness, an abode entirely outside the world, there nevertheless with some modification to Henry’s thinking could be a role for intuition to play in discerning the traces of life in the world. (shrink)

Engaging the thought of the Danish thinker Søren Kierkegaard, I challenge a tendency within the analytic tradition of philosophy on the subject of meaning in life. Taking as a starting point Kierkegaard's insights about meaning in life, the striving needed to attain an imagined ideal self, and his paradoxical conception of the perfection available to human life, I claim that meaning in life is a function of an individual's striving for an ideal self. This continuous effort to achieve myself is (...) marked by suffering, an indispensable part of Kierkegaard's project of identity formation. The imagined grasp of a possible ideal self is essential to this process but insufficient for it because the imagination can only ever glimpse a kind of static perfection, not the lived perfection that only results from willed actualization of an ideal self. The meaning of a human life, then, consists in the suffering that results from a struggle to actualize the ideal I aspire to become in the process of identity formation. I contrast this view with a tendency shared by many contemporary analytic philosophers of meaning in life, for whom meaning in life is constituted by achievement of valued goods, without much attention to one's relation to the process of achieving them. In that respect, I will focus on the position of Iddo Landau. After clearing a number of his misconceptions about Kierkegaard's philosophy, I claim that, for a life to be meaningful, valued goods in life must be complemented by a conscious enactment of the process of the formation of one's identity that includes striving to attain a kind of perfection. I conclude that Kierkegaard's paradoxical account of perfectionism makes him more of an ally to Landau than an opponent. (shrink)

Sebbah’s noteworthy book is perhaps the first sustained inquiry into the relationship between three thinkers in the French phenomenological tradition, two of whom are well known in the Anglophone world (Levinas, Derrida) and one of whom (Henry) is gradually better understood by English-speaking audiences. That all three are arrayed together in this study makes it a pioneering enterprise and one that allows the English reader to apprise the worthiness of Henry’s association with his better-known compatriots.The strongest and most extensive portions (...) of the text focus on the three named figures in its subtitle, and in Part I Sebbah justifies his focus on these three in terms of a “family resemblance” (6–7) that they bear: Each in his own way practices phenomenology in the mode of excess, an excess that not only emerges in the style of each man’s writing but more fundamentally betrays a testing “of the limit, the limit through whose transgression alone excess can be what it is” (4). Rather. (shrink)

In this paper I argue -- pace J. L. Schellenberg -- that it remains the case for Kierkegaard that infinite striving, properly understood, is essential to the relationship with God, who remains the Infinite Subject, one necessarily hidden for defensible logical, ontological, and existential reasons. Thus Kierkegaard’s arguments for the hiddenness of God as a logically required ingredient in the relationship that human beings are called to undertake with God can withstand Schellenberg’s criticisms.

Kierkegaard has undoubtedly influenced phenomenological thinking, but he has rarely if ever been read as a phenomenologist himself.

The Sickness unto Death is commonly regarded as one of Kierkegaard's most important works – but also as one of his most difficult texts to understand. It is a meditation on Christian existentialist themes including sin, despair, religious faith and its redemptive power, and the relation and difference between physical and spiritual death. This volume of new essays guides readers through the philosophical and theological significance of the work, while clarifying the complicated ideas that Kierkegaard develops. Some of the essays (...) focus closely on particular themes, others attempt to elucidate the text as a whole, and yet others examine it in relation to other philosophical views. Bringing together these diverse approaches, the volume offers a comprehensive understanding of this pivotal work. It will be of interest to those studying Kierkegaard as well as existentialism, religious philosophy, and moral psychology. (shrink)

Providing theoretical and applied analyses of Michel Henry's practical philosophy in light of his guiding idea of Life, this is the first sustained exploration of Henry's practical thought in anglophone literature, reaffirming his centrality to contemporary continental thought. This book ranges from the tension between his methodological insistence on life as non-intentional and worldly activities to Henry's engagement with the practical philosophy of intellectuals such as Marx, Freud, and Kandisky to topics of application such as labor, abstract art, education, political (...) liberalism, and spiritual life. An international team of leading Henry scholars examine a vital dimension of Henry's thinking that has remained under-explored for too long. (shrink)

The aim of this paper is twofold. First, it seeks to demonstrate how Kierkegaard’s deployment of the idea of earnestness can furnish a sort of tonal “unity” to a narrative understanding of the Kierkegaardian self, which gestures toward a solution to the problem of how a narrative self can be unified over time and over a multiplicity of projects and plans. Second, this paper aims to give further richness to the recent work of Patrick Stokes, who argues that the narrative (...) self needs to be supplemented by what he calls a naked self. This paper then argues that because there are these two dimensions to selfhood—the narrative person and the naked self—the Kierkegaardian individual is in a fundamental way not so much a matter of identity as of contradiction or internal tension. (shrink)

The purpose of this paper is to establish a proper context for reading Jacques Derrida’s The Gift of Death, which, I contend, can only be understood fully against the backdrop of “Violence and Metaphysics.” The later work cannot be fully understood unless the reader appreciates the fact that Derrida returns to “a certain Abraham” not only in the name of Kierkegaard but also in the name of Levinas himself. The hypothesis of the reading that follows therefore would be that Derrida (...) writes The Gift of Death not as an attempt to re-present Kierkegaard’s Abraham either rightly or wrongly but as an effort to do with Kierkegaard’s Abraham what is possible with his thought in a broadly Levinasian/derridean framework. That the reading he provides of the Abraham story would not be recognizable to Kierkegaard is not the principal point of Derrida’s effort; his aim is to demonstrate that Levinas should not have been so hasty to dismiss Kierkegaard but could have recovered his interpretation of Abraham for purposes that Derrida and Levinas both share. (shrink)

The purpose of this paper is to establish a proper context for reading Jacques Derrida's The Gift of Death, which, I contend, can only be understood fully against the backdrop of "Violence and Metaphysics." The later work cannot be fully understood unless the reader appreciates the fact that Derrida returns to "a certain Abraham" not only in the name of Kierkegaard but also in the name of Levinas himself. The hypothesis of the reading that follows therefore would be that Derrida (...) writes The Gift of Death not as an attempt to re-present Kierkegaard's Abraham either rightly or wrongly but as an effort to do with Kierkegaard's Abraham what is possible with his thought in a broadly Levinasian/Derridean framework. That the reading he provides of the Abraham story would not be recognizable to Kierkegaard is not the principal point of Derrida's effort; his aim is to demonstrate that Levinas should not have been so hasty to dismiss Kierkegaard but could have recovered his interpretation of Abraham for purposes that Derrida and Levinas both share. (shrink)

Recent readings of Kierkegaard's Works of Love have admirably shown how his apparent reservations about romantic love can be deflected on his own terms by imbuing them with some of the moral rigor of neighbor‐love. This paper argues however that these readings must be complemented by the reverse argument, which would show how some of the qualities of romantic loves are in fact preserved in neighbor‐love. By drawing on his dialectics of sensate love, psychical love, spiritual love, and self‐love, I (...) show how Kierkegaard believes neighbor‐love should be impartial and yet exhibit some of the character of preferential romantic loves. (shrink)

On occasion, Theunissen admits that his method is at variance with Kierkegaard’s self-understanding. “Such an approach not only contradicts Kierkegaard’s self-conception. It also collides with the currently prevalent way of dealing with him,” which is more attentive to Kierkegaard’s form of communication. The second most significant departure is his refusal to deal with faith. Theunissen’s book must be judged in part by the extent to which it suffers because of its attempt to abstract the Kierkegaardian account of despair from its (...) theological context. (shrink)

Happiness is an increasingly prominent topic of interest across academia. However, relatively little attention has been paid to how it is created, especially not in a multidimensional sense. By ‘created’ we do not mean its influencing factors, for which there is extensive research, but how it actually forms in the person. The work that has been done in this arena tends to focus on physiological dynamics, which are certainly part of the puzzle. But they are not the whole picture, with (...) psychological, phenomenological, and socio cultural processes also playing their part. As a result, this paper offers a multidimensional overview of scholarship on the ‘architecture’ of happiness, providing a stimulus for further work into this important topic. (shrink)

A review of Jeffrey Hanson and Michael R. Kelly, eds., Michel Henry: The Affects of Thought (London: Continuum, 2012), 177 pp.

Direct neurological and especially imaging-driven investigations into the structures essential to naturally occurring cognitive systems in their development and operation have motivated broadening interest in the potential for artificial consciousness modeled on these systems. This first paper in a series of three begins with a brief review of Boltuc’s (2009) “brain-based” thesis on the prospect of artificial consciousness, focusing on his formulation of h-consciousness. We then explore some of the implications of brain research on the structure of consciousness, finding limitations (...) in biological approaches to the study of consciousness. Looking past these limitations, we introduce research in artificial consciousness designed to test for the emergence of consciousness, a phenomenon beyond the purview of the study of existing biological systems. (shrink)

This third paper locates the synthetic neurorobotics research reviewed in the second paper in terms of themes introduced in the first paper. It begins with biological non-reductionism as understood by Searle. It emphasizes the role of synthetic neurorobotics studies in accessing the dynamic structure essential to consciousness with a focus on system criticality and self, develops a distinction between simulated and formal consciousness based on this emphasis, reviews Tani and colleagues' work in light of this distinction, and ends by forecasting (...) the increasing importance of synthetic neurorobotics studies for cognitive science and philosophy of mind going forward, finally in regards to most- and myth-consciousness. (shrink)

Discoverability: the urgent need of an ecology of human creativity from the prolific Lorenzo Magnani is worthy of direct attention. The message may be of special interest to philosophers, ethicists and organizing scientists involved in the development of AI and related technologies which are increasingly directed at reinforcing conditions against which Magnani directly warns, namely the “overcomputationalization” of life marked by the gradual encroachment of technologically “locked strategies” into everyday decision-making until “freedom, responsibility, and ownership of our destinies” are ceded (...) and we, in parallel, build a future fit for artifacts over human beings. Professional educators - teachers and administrators serious about teaching - and policy-makers including the concerned public, parents and social activists concerned about the effects of technologies on development and well-being may benefit, as well. (shrink)

We have been discussing some of the fundamental features of the classical calculus of probability. The equiprobability of rival events was seen to be a major assumption of the calculus. Moreover, it is an assumption which the pure mathematician need not bother to justify. He need only present his formal system as follows.

Generic language (e.g., “tigers have stripes”) leads children to assume that the referenced category (e.g., tigers) is inductively informative and provides a causal explanation for the behavior of individual members. In two preregistered studies with 4- to 7-year-old children (N = 497), we considered the mechanisms underlying these effects by testing how correcting generics might affect the development of these beliefs about novel social and animal kinds (Study 1) and about gender (Study 2). Correcting generics by narrowing their scope to (...) a single individual limited beliefs that the referenced categories could explain what their members would be like while broadening the scope to a superordinate category (Study 2) uniquely limited endorsement of gender norms. Across both studies, correcting generics did not alter beliefs about feature heritability and had mixed effects on inductive inferences, suggesting that additional mechanisms (e.g., causal reasoning about shared features) contribute to the development of full-blown essentialist beliefs. These results help illuminate the mechanisms by which generics lead children to view categories as having rich inductive and causal potential; in particular, they suggest that children interpret generics as signals that speakers in their community view the referenced categories as meaningful kinds that support generalization. The findings also point the way to concrete suggestions for how adults can effectively correct problematic generics (e.g., gender stereotypes) that children may hear in daily life. (shrink)

The current studies (N = 255, children ages 4–5 and adults) explore patterns of age‐related continuity and change in conceptual representations of social role categories (e.g., “scientist”). In Study 1, young children's judgments of category membership were shaped by both category labels and category‐normative traits, and the two were dissociable, indicating that even young children's conceptual representations for some social categories have a “dual character.” In Study 2, when labels and traits were contrasted, adults and children based their category‐based induction (...) decisions on category‐normative traits rather than labels. Study 3 confirmed that children reason based on category‐normative traits because they view them as an obligatory part of category membership. In contrast, adults in this study viewed the category‐normative traits as informative on their own (not only as a cue to obligations). Implications for continuity and change in representations of social role categories will be discussed. (shrink)

The phenomenon of altruism extends from the biological realm to the human sociocultural realm. This article sketches a coherent outline of multiple types of altruism of progressively increasing scope that span these two realms and are grounded in an ever-expanding sense of “self.” Discussion of this framework notes difficulties associated with altruism at different levels. It links scientific ideas about the evolution of cooperation and about hierarchical order to perennial philosophical and religious concerns. It offers a conceptual background for inquiry (...) into societal challenges that call for altruistic behavior, especially the challenge of environmental and social sustainability. (shrink)

Motivated by a characterization of weakly compact cardinals due to Todorcevic, we introduce a new cardinal characteristic, the C-sequence number, which can be seen as a measure of the compactness of a regular uncountable cardinal. We prove a number of ZFC and independence results about the C-sequence number and its relationship with large cardinals, stationary reflection, and square principles. We then introduce and study the more general C-sequence spectrum and uncover some tight connections between the C-sequence spectrum and the strong (...) coloring principle U(. . .), introduced in Part I of this series. (shrink)

We investigate questions involving Aronszajn trees, square principles, and stationary reflection. We first consider two strengthenings of introduced by Brodsky and Rinot for the purpose of constructing κ‐Souslin trees. Answering a question of Rinot, we prove that the weaker of these strengthenings is compatible with stationary reflection at κ but the stronger is not. We then prove that, if μ is a singular cardinal, implies the existence of a special ‐tree with a cf(μ)‐ascent path, thus answering a question of Lücke.

How do people gather samples of evidence to learn about the world? Adults often prefer to sample evidence from diverse sources—for example, choosing to test a robin and a turkey to find out if something is true of birds in general. Children below age 9, however, often do not consider sample diversity, instead treating non‐diverse samples (e.g., two robins) and diverse samples as equivalently informative. The current study (N = 247) found that this discontinuity stems from developmental changes in standards (...) for evaluating evidence—younger children chose to learn from samples that best approximate idealized views of what category members are supposed to be like (e.g., the fastest cheetahs), with a gradual shift across age toward samples that cover more within‐category variation (e.g., cheetahs of varying speeds). These findings have implications for the relation between conceptual structure and inductive reasoning, and for the mechanisms underlying inductive reasoning more generally. (shrink)

Our purpose in this article is to identify and suggest resolution for two core problematics of grounded theory. First, while grounded theory provides transparency to one part of the conceptualization process, where codes emerge directly from the data, it provides no such systematic or transparent way for gaining insight into the conceptual relationships between discovered codes. Producing a grounded theory depends not only on the definition of conceptual pieces, but the delineation of a relationship between at least two of those (...) pieces. Second, the conceptualization process of grounded theory is done in hierarchical fashion, where individual codes emerge from the data but then are used to generate insight into more general concepts and thematic statements. But various works on grounded theory have failed to provide any systematic way of using data specific levels of scale (the codes) to gain insight into more macro levels of scale (concepts and themes). We offer fractal concept analysis as a means of resolving both of these issues. By using a logic structure generator, fractal concept analysis delineates self-similar conceptual frameworks at various levels of abstraction, yielding a method for linking concepts together within and between levels of scale encountered in the grounded theory coding and categorization process. We conclude that this fractal analytic technique can bolster the aims of grounded theory as a formalized and systematic process for generating theory from empirical data. (shrink)

Viale introduced covering matrices in his proof that SCH follows from PFA. In the course of the proof and subsequent work with Sharon, he isolated two reflection principles, CP and S, which, under certain circumstances, are satisfied by all covering matrices of a certain shape. Using square sequences, we construct covering matrices for which CP and S fail. This leads naturally to an investigation of square principles intermediate between □κ and □ for a regular cardinal κ. We provide a detailed (...) picture of the implications between these square principles. (shrink)

We give a formalism for approximate isomorphism in continuous logic simultaneously generalizing those of two papers by Ben Yaacov [2] and by Ben Yaacov, Doucha, Nies, and Tsankov [6], which are largely incompatible. With this we explicitly exhibit Scott sentences for the perturbation systems of the former paper, such as the Banach‐Mazur distance and the Lipschitz distance between metric spaces. Our formalism is simultaneously characterized syntactically by a mild generalization of perturbation systems and semantically by certain elementary classes of two‐sorted (...) structures that witness approximate isomorphism. As an application, we show that the theory of any ‐tree or ultrametric space of finite radius is stable, improving a result of Carlisle and Henson [8]. (shrink)

When attempting to answer the question, in the context of clinical healthcare, one might be tempted to leap to either of two rather obvious, but seemingly contradictory conclusions. On the one hand, we might have a general impression of religion not making much of a distinctive and clear difference, at least in the actions and outcomes of most cases of clinical interaction. Those of us in the bioethics world of discourse are likely to think only of the less common cases (...) of Christian Scientists, Jehovah's Witnesses, Orthodox Jews, or certain religious groups who seem to the majority of the population to hold especially sectarian, if not beliefs about medical matters. The so-called mainstream religious groups do not get much attention because they largely don't cause much trouble ; they have learned to bracket their religious commitments from at least any professional settings ; or they don't hold views entailing consequences any different from those of most nonbelieving, generally upright individuals. Furthermore, although religious believers may have some distinctive views, these views don't often noticeably manifest themselves in distinctive or significant ways. (shrink)

We continue our study of strongly unbounded colorings, this time focusing on subadditive maps. In Part I of this series, we showed that, for many pairs of infinite cardinals $\theta < \kappa $, the existence of a strongly unbounded coloring $c:[\kappa ]^2 \rightarrow \theta $ is a theorem of $\textsf{ZFC}$. Adding the requirement of subadditivity to a strongly unbounded coloring is a significant strengthening, though, and here we see that in many cases the existence of a subadditive strongly unbounded coloring (...) $c:[\kappa ]^2 \rightarrow \theta $ is independent of $\textsf{ZFC}$. We connect the existence of subadditive strongly unbounded colorings with a number of other infinitary combinatorial principles, including the narrow system property, the existence of $\kappa $ -Aronszajn trees with ascent paths, and square principles. In particular, we show that the existence of a closed, subadditive, strongly unbounded coloring $c:[\kappa ]^2 \rightarrow \theta $ is equivalent to a certain weak indexed square principle $\boxminus ^{\operatorname {\mathrm {ind}}}(\kappa, \theta )$. We conclude the paper with an application to the failure of the infinite productivity of $\kappa $ -stationarily layered posets, answering a question of Cox. (shrink)

With all the research on mind/brain connections these days -- Your brain in lust or love! While gambling or feeling envious! While meditating, praying, or having an out-of-body experience! -- it’s natural to wonder about ’big questions’ about the relationships among the mind, the brain, and God. For instance, some people have taken the findings that some spiritual experiences have neural correlates to mean that the hand of God is at work in the brain. Others have interpreted the same research (...) to mean that spiritual experiences are "just" neural, and thus evidence against the existence of God or other supernatural forces. These debates are updated versions of longstanding philosophical and religious wrestlings with how God and nature might or might not intertwine. What’s your own gut view, right now, as a kind of snapshot: Do you think that God is involved in some way in your thoughts and feelings? In your most intimate sense of being? In this essay, we’ll explore what mind, brain, and. (shrink)