Listening effort has been known to characterize speech recognition in noise regardless of hearing sensitivity and age. Whereas the behavioral measure of dual-task paradigm effectively manifests the cognitive cost that listeners exert when processing speech in background noise, there is no consensus as to a clinical procedure that might best express LE. In order to assess the cognitive load underlying speech recognition in noise and promote counselling for coping strategies, a feasible clinical paradigm is warranted. The ecological validity of such (...) a paradigm might best be demonstrated in middle-aged adults, exhibiting intact hearing sensitivity on one hand, however, experiencing difficulties in degraded listening conditions, unaware of the implicated cognitive cost of speech recognition in noise. To this end, we constructed a dual-task paradigm that consists of a primary task of sentences-in-noise recognition and a secondary task of simple visual colored-shape matching. Research objective was to develop a clinical paradigm for the assessment of LE in middle-aged adults. Participants were 17 middle-aged adults and 23 young adults. All participants had normal hearing according to age. Speech stimuli consisted of the Hebrew Matrix sentences in noise test. SRTn was obtained for 80% correct identification. Visual stimuli were colored geometric shapes. Outcome measures were obtained initially for each task separately, to establish performance ability, and then obtained simultaneously. Reaction time and accuracy in the secondary task were the defined metrics for LE. Results: LE was indicated for both groups, however, was more pronounced in the middle-aged, manifested in the visual accuracy and reaction time metrics. Both groups maintained the 80% correct recognition-in-noise in the dual-task, however, the middle-aged group necessitated a better SNR of 1.4dB than the normal hearing group. Moreover, the middle-aged group was taxed in a greater prolongation of reaction time, in order to uphold the correct recognition. Conclusion: a dual-task paradigm consisting of sentences-in-noise primary task combined with a simple secondary task successfully showed different manifestations of LE in middle-aged adults compared to young adults, thus approximating the use of such a paradigm in a clinical setting. (shrink)

Although it is very often taken for granted that there is something fundamental, the literature appears to have developed with little to no careful consideration of what exactly it is that the fundamentalia are supposed to do. If we are to have a good reason to believe that there is something fundamental, we need not only to know what exactly it is that the fundamentalia are invoked for, but why it is that nothing else is available for the task to (...) hand. A good argument in defense of fundamentality, then, will contain an assumption that stipulates an explanatory target; along with a second, crucial, assumption that tells us that no dependent entity is available to do the work that needs to be done. In this paper, I explore both of these assumptions. (shrink)

General discussion of grounding, including its formal features, relations to other notions, and applications. (Originally published 2014; revised 2021).

Fifteen leading philosophers explore metaphysical foundationalism, the idea that reality has an over-arching hierarchical structure ordered by relations of metaphysical dependence, where chains of entities ordered by those dependence relations terminate in something fundamental.

Metaphysicians of a certain stripe are almost unanimously of the view that grounding is necessarily irreflexive, asymmetric, transitive, and well-founded. They deny the possibility of circles of ground and, therewith, the possibility of species of metaphysical coherentism. But what's so bad about circles of ground? One problem for coherentism might be that it ushers in anti-foundationalism: grounding loops give rise to infinite regresses. And this is bad because infinite grounding regresses are vicious. This article argues that circles of ground do (...) not necessarily give rise to infinite regresses, and where they do, those regresses are not necessarily vicious. (shrink)

The tree property at κ+ states that there are no Aronszajn trees on κ+, or, equivalently, that every κ+ tree has a cofinal branch. For singular strong limit cardinals κ, there is tension between the tree property at κ+ and failure of the singular cardinal hypothesis at κ; the former is typically the result of the presence of strongly compact cardinals in the background, and the latter is impossible above strongly compacts. In this paper, we reconcile the two. We prove (...) from large cardinals that the tree property at κ+ is consistent with failure of the singular cardinal hypothesis at κ. (shrink)

Given the centrality of arguments from vicious infinite regress to our philosophical reasoning, it is little wonder that they should also appear on the catalogue of arguments offered in defense of theses that pertain to the fundamental structure of reality. In particular, the metaphysical foundationalist will argue that, on pain of vicious infinite regress, there must be something fundamental. But why think that infinite regresses of grounds are vicious? I explore existing proposed accounts of viciousness cast in terms of contradictions, (...) dependence, failed reductive theories and parsimony. I argue that no one of these accounts adequately captures the conditions under which an infinite regress—any infinite regress—is vicious as opposed to benign. In their place, I suggest an account of viciousness in terms of explanatory failure. If this account is correct, infinite grounding regresses are not necessarily vicious; and we must be much more careful employing such arguments to the conclusion that there has to be something fundamental. (shrink)

In this paper I shall present a method for proving determinacy from large cardinals which, in many cases, seems to yield optimal results. One of the main applications extends theorems of Martin, Steel and Woodin about determinacy within the projective hierarchy. The method can also be used to give a new proof of Woodin's theorem about determinacy in L.The reason we look for optimal determinacy proofs is not only vanity. Such proofs serve to tighten the connection between large cardinals and (...) descriptive set theory, letting us bring our knowledge of one subject to bear on the other, and thus increasing our understanding of both. A classic example of this is the Harrington-Martin proof that -determinacy implies -determinacy. This is an example of a transfer theorem, which assumes a certain determinacy hypothesis and proves a stronger one. While the statement of the theorem makes no mention of large cardinals, its proof goes through 0#, first proving that-determinacy ⇒ 0# exists,and then that0# exists ⇒ -determinacyMore recent examples of the connection between large cardinals and descriptive set theory include Steel's proof thatADL ⇒ HODL ⊨ GCH,see [9], and several results of Woodin about models of AD+, a strengthening of the axiom of determinacy AD which Woodin has introduced. These proofs not only use large cardinals, but also reveal a deep, structural connection between descriptive set theoretic notions and notions related to large cardinals. (shrink)

We show that every sufficiently iterable countable mouse has a unique iteration strategy whose associated iteration maps are lexicographically minimal. This enables us to extend the results of [3] on the good behavior of the standard parameter from tame mice to arbitrary mice.

Drawing on the general ethics and social psychology literature, this study presents a model to delineate the major factors likely to affect consumers’ intentions to bring their own shopping bags when visiting a supermarket (called “bring your own bags” or “BYOB” intention). The model is empirically validated using a survey of 250 Chinese consumers. Overall, the findings support the hypothesized direct influence of teleological evaluation and habit on BYOB intention, as well as that of deontological evaluation and teleological evaluation on (...) ethical judgment about the BYOB practice. Teleological evaluation exerts a much stronger influence on ethical judgment than does deontological evaluation. In addition, the findings reveal that consumers who perceive the BYOB practice to be more important are more inclined to rely on their ethical judgment to derive their BYOB intention. Academically, these findings provide some encouraging evidence for the application of general ethics theories to explain green consumption-related practices. Practically, the findings also suggest that a utilitarian approach (i.e., emphasizing the consequences of BYOB) may represent an effective means for the Chinese government to promote BYOB practice among consumers. (shrink)

A $\Sigma _{1}^{2}$ truth for λ is a pair 〈Q, ψ〉 so that Q ⊆ Hλ, ψ is a first order formula with one free variable, and there exists B ⊆ Hλ+ such that (Hλ+; ε, B) $(H_{\lambda +};\in ,B)\vDash \psi [Q]$ . A cardinal λ is $\Sigma _{1}^{2}$ indescribable just in case that for every $\Sigma _{1}^{2}$ truth 〈Q, ψ〉 for λ, there exists $\overline{\lambda}<\lambda $ so that $\overline{\lambda}$ is a cardinal and $\langle Q\cap H_{\overline{\lambda}},\psi \rangle $ is a (...) $\Sigma _{1}^{2}$ truth for $\overline{\lambda}$ . More generally, an interval of cardinals [κ, λ] with κ ≤ λ is $\Sigma _{1}^{2}$ indescribable if for every $\Sigma _{1}^{2}$ truth 〈Q, ψ〉 for λ, there exists $??\leq \overline{\lambda}<\kappa,??\subseteq H_{\overline{\lambda}}$ , and π: $H_{\overline{\lambda}}\rightarrow H_{\lambda}$ so that $??$ is a cardinal, $\langle ??,\psi \rangle $ is a $\Sigma _{1}^{2}$ truth for $??$ , and π is elementary from $(H_{\overline{\lambda}};\in,??,??)$ with $\pi \,|\,??={\rm id}$ . We prove that the restriction of the proper forcing axiom to c-linked posets requires a $\Sigma _{1}^{2}$ indescribable cardinal in L, and that the restriction of the proper forcing axiom to c⁺-linked posets, in a proper forcing extension of a fine structural model, requires a $\Sigma _{1}^{2}$ indescribable 1-gap [κ, κ⁺]. These results show that the respective forward directions obtained in " Hierarchies of Forcing Axioms I" by Neeman and Schimmerling are optimal. (shrink)

There is a long lineage of philosophers concerned with coming to understand what explains everything broadly construed, or within a certain, restricted domain. We call such explanations ultimate explanations. Contemporarily, philosophers of a certain stripe have devoted much attention to the notion of fundamentality - that there is something which is without explanation. This Element explores some of the connections between fundamentality and ultimate explanations both contemporarily and historically.

ABSTRACT:The ethics of high frequency trading are obscure, due in part to the complexity of the practice. This article contributes to the existing literature of ethics in financial markets by examining a recent trend in regulation in high frequency trading, the prohibition of deception. We argue that in the financial markets almost any regulation, other than the most basic, tends to create a moral hazard and increase information asymmetry. Since the market’s job is, at least in part, price discovery, we (...) argue that simplicity of regulation and restraint in regulation are virtues to a greater extent than in other areas of finance. This article proposes criteria for determining which high-frequency trading strategies should be regulated. (shrink)

This chapter examines the implications of the doctrine of emptiness for the Madhyamaka analysis of the crucial notion of causation. It is not uncommon in the contemporary commentarial tradition to see philosophers understanding the emptiness and conventional nature of causation, as advanced by Nāgārjuna, in terms of a Humean regularity account. This chapter argues that the Humean regularity account of causation is, in fact, incompatible with its emptiness, for where there are no necessary connections between cause and effect, cause and (...) effect fail to be empty. The analysis evidences the utility of taking contemporary metaphysical approaches into Buddhist discussions and of bringing a Buddhist sensibility to contemporary metaphysics. (shrink)

We extend the construction of Mitchell and Steel to produce iterable fine structure models which may contain Woodin limits of Woodin cardinals, and more. The precise level reached is that of a cardinal which is both a Woodin cardinal and a limit of cardinals strong past it.

This paper offers a reading of passages in Heidegger’s Nietzsche lectures in which Heidegger describes love as a feeling which grants an essential vision. I contend that by invoking this language of vision while simultaneously contrasting love with infatuation, Heidegger is implicitly attempting to situate love within his category of fundamental attunements. While Heidegger does not explicitly follow this thought through, I argue that doing so leads to a problem—namely, how can love be a fundamental attunement if such attunements are (...) necessarily objectless? I suggest we can see a response to this problem in Heidegger’s treatment of Plato’s Phaedrus within the same lecture course. I conclude by claiming that while Heidegger attempts to follow Plato in arguing that love is most properly directed towards Being, love nonetheless poses a challenge to Heidegger’s category of fundamental attunements which also strikes at the heart of his claim that ontology is first philosophy. (shrink)

This study empirically examines how Chinese executives perceive the role of guanxi and ethics played in their business operations. By factor-analyzing 850 valid replies collected from a comprehensive survey, the present study identifies three distinct ethics-related attitudes and two distinct guanxi-related attitudes for Chinese executives. The cluster analysis of the composite scores of these five attitudinal factors further indicates the existence of three distinct groups of Chinese executives that vary in their ethics and guanxi orientations. The three groups are unethical (...) profit seeker (UPS), anti-governance, guanxi-cultivator (AGGC), and apathetic executive (AE). The three groups are also found to be significantly different in such demographic characteristics as age and the ownership structure of the serving organization. Specifically, the inter-group comparison suggests that younger Chinese executives, and those working for privately-owned firms and joint ventures are more inclined to engage in unethical activities for profits. These findings provide useful insights for international investors to formulate their human resource and negotiation strategies in China. (shrink)

This paper develops and tests a new conceptual model incorporating the indirect impact of two ethical ideologies (idealism and relativism) on Chinese consumers’ ethical judgments under four ethically problematic consumption situations (active benefit, passive benefit, deceptive practice, and no/indirect harm) through two cultural values (integration and moral discipline). Data from a large-scale online consumer survey in five major Chinese cities (_N_ = 1046) support most hypotheses. The findings are consistent with the postulated global impact of ethical ideology on forming an (...) individual’s beliefs and values and highlight the importance of a thorough understanding of the significant determinants of consumer ethics to promote ethically responsible consumption behaviors. This study also uses an emic approach to conceptualize and measure Chinese cultural values by using cultural constructs and measures that are designed explicitly in the Chinese context. (shrink)

Jullien's indecomposability theorem states that if a scattered countable linear order is indecomposable, then it is either indecomposable to the left, or indecomposable to the right. The theorem was shown by Montalbán to be a theorem of hyperarithmetic analysis. We identify the strength of the theorem relative to standard reverse mathematics markers. We show that it lies strictly between weak [Formula: see text] choice and [Formula: see text] comprehension.

The Principle of Sufficient Reason is very seldom, if ever, referred to in the works of whom we might think of as the eminent Asian metaphysicians. In spite of this, the big picture metaphysical views available in the thought of philosophers such as Nāgārjuna, Fazang and Nishida appear to share certain structural features with views more familiar to us from our own tradition; views that explicitly accept or reject the Principle of Sufficient Reason. Nāgārjuna looks to develop a kind of (...) metaphysical infinitism, Fazang an extreme form of coherentism, and Nishida a species of foundationalism. These three positions - infinitism, coherentism and foundationalism - are typically thought to exhaust the spread of possibilities by those working within the Western tradition. -/- In spite of their similarities to positions advanced within our own tradition, the cosmologies of many of the giants of Asian philosophy are characterised by their rather striking conclusions. Amongst such conclusions for Nāgārjuna is that everything is empty; for Fazang that everything is identical to everything else; and for Nishida that everything depends on absolute nothingness. If the Principle of Sufficient Reason is playing a role in the derivation of such striking conclusions, then it looks that there are more options regarding the metaphysical structure of the world available to us than our own tradition typically courts. If, on the other hand, these striking cosmological conclusions are arrived at without any consideration of sufficient reason, then there may well be ways of reasoning about the overarching structure of reality that are powerful but unfamiliar to Western thinking. In this contribution, I explore what, if any, role the PSR might be playing in the thought of Nāgārjuna , Fazang and Nishida, and what we might be able to learn from it. (shrink)

Many instructors see the use of LLMs like ChatGPT on course assignments as a straightforward case of cheating, and try hard to prevent their students from doing so by including new warnings of consequences on their syllabi, turning to iffy plagiarism detectors, or scheduling exams to occur in-class. And the use of LLMs probably is cheating, given the sorts of assignments we are used to giving and the sorts of skills we take ourselves to be instilling in our students. But (...) despite legitimate ethical and pedagogical concerns, the case that LLMs should never be used in academic contexts is quite difficult to see. Many primary and secondary schools are cutting back their writing instruction in an effort to teach to the test; at the same time, many high-end knowledge workers are already quietly expected to leverage their productivity with LLMs. To prepare students for an ever-changing world, we probably do have to teach them at least a little bit about writing with ChatGPT. (shrink)

We present an approach to forcing with finite sequences of models that uses models of two types. This approach builds on earlier work of Friedman and Mitchell on forcing to add clubs in cardinals larger than $\aleph_{1}$, with finite conditions. We use the two-type approach to give a new proof of the consistency of the proper forcing axiom. The new proof uses a finite support forcing, as opposed to the countable support iteration in the standard proof. The distinction is important (...) since a proof using finite supports is more amenable to generalizations to cardinals greater than $\aleph_{1}$. (shrink)

.In her Making Things Up, amongst the many other achievements of the volume, Bennett develops a rich account of relative fundamentality. She also defends a kind of deflationism about the notion: relative fundamentality is nothing over and above patterns of building. In this essay, I argue that the best and common competitor of this view – primitivism about relative fundamentality – is in worse shape than Bennett's evaluation would indicate. Deflationism looks to be the best view.

This article deploys Spinoza’s ethic of joy alongside Deleuze and Guattari’s exposition of micropolitics to expose how fascist desires and affects bloom and circulate through digital communications ecosystems that generally promote a diffusion or decentralisation of power. Beyond the steady barrage of alt-right content conscientiously documented by liberal journalists and progressive watchdogs, a more persistent and widespread fascist impulse permeates the very forms of some of our most banal digitally mediated acts and encounters. Rather than a sole looming authoritarian figurehead, (...) the network itself – particularly with the new image paradigms propelled by apps such as Instagram and TikTok – has become the rallying point for the circulation of fascistic affects, burnished through the art and ethos of following: of rules, routines, protocols, accounts. I contend that a joyful passion accompanies much of this everyday experience of keeping up with one’s feeds, engaging the platforms, participating in the spectacles. This is what Sontag, interrogating the appeal of the Third Reich, calls the ‘joy of followers’, a joy in fascist belonging, which is to suggest that fascist movements thrive not only on the circulation of negative affects like hatred and fear, but also on the profusion of pleasure and affiliation. Deleuze’s Spinoza, resolutely anti-fascist, helps us parse this situation as it plays out in the social media sphere. Spinoza offers a bipartite conceptualisation of joy that allows us to diagnose the pleasures particular to fascist belonging and network belonging alike as passive, partial and indirect. Ultimately, what we today share with historical fascisms is a ubiquitous aesthetic that merges art with life and bodies with information, and a corresponding ethos that cultivates conformism, barbarises critical thought and redirects joyful impulses into reactionary social forms. As fascistic power relations spread anew through digital cultures’ newly evolving modes of visuality, hapticity, vibration and expression, one can observe something of what Deleuze calls ‘sad joy’, a sort of joy rooted in conquest and domination. The aim of this article is to root out such sad joys, to appreciate their appeal, and ultimately to reject them in all their various forms. (shrink)

Let o(κ) denote the Mitchell order of κ. We show how to reduce long games which run to the first ordinal admissible in the play, to iteration games on models with a cardinal κ so that (1) κ is a limit of Woodin cardinals: and (2) o(κ) = κ⁺⁺. We use the reduction to derive several optimal determinacy results on games which run to the first admissible in the play.

Human genetics has blossomed from an obscure biological science and explanation for rare disorders to a field that is profoundly altering health care for everyone. This thoroughly updated new edition of _Human Genetics: The Basics_ provides a concise background of gene structure and function through the lens of real examples, from families living with inherited diseases to population-wide efforts in which millions of average people are learning about their genetic selves. The book raises compelling issues concerning: • The role of (...) genes in maintaining health and explaining sickness • Genetic testing, gene therapy, and genome editing • The common ancestry of all humanity and how we are affecting our future. Written in an engaging, narrative manner, this concise introduction is an ideal starting point for anyone who wants to know more about genes, DNA, genomes, and the genetic ties that bind us all. (shrink)

Answering a question of Sakai :29–45, 2013), we show that the existence of an ω1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\omega _1$$\end{document}-Erdős cardinal suffices to obtain the consistency of Chang’s Conjecture with □ω1,2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\square _{\omega _1, 2}$$\end{document}. By a result of Donder, volume 872 of lecture notes in mathematics. Springer, Berlin, pp 55–97, 1981) this is best possible. We also give an answer to another question of Sakai relating to (...) the incompatibility of □λ,2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\square _{\lambda, 2}$$\end{document} and ↠\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \twoheadrightarrow $$\end{document} for uncountable κ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\kappa $$\end{document}. (shrink)

Jullien's indecomposability theorem (INDEC) states that if a scattered countable linear order is indecomposable, then it is either indecomposable to the left, or indecomposable to the right. The theorem was shown by Montalbán to be a theorem of hyperarithmetic analysis, and then, in the base system RCA₀ plus ${\mathrm{\Sigma }}_{1}^{1}\text{\hspace{0.17em}}$ induction, it was shown by Neeman to have strength strictly between weak ${\mathrm{\Sigma }}_{1}^{1}$ choice and ${\mathrm{\Delta }}_{1}^{1}$ comprehension. We prove in this paper that ${\mathrm{\Sigma }}_{1}^{1}$ induction is needed (...) for the reversal of INDEC, that is for the proof that INDEC implies weak ${\mathrm{\Sigma }}_{1}^{1}$ choice. This is in contrast with the typical situation in reverse mathematics, where reversals can usually be refined to use only ${\mathrm{\Sigma }}_{1}^{0}$ induction. (shrink)

It is widely recognized by proponents of the notion that grounding can be, indeed is, overdetermined. Moreover, it seems safe to suppose that something of a consensus has emerged: grounding is overdetermined and there is nothing about it that we ought to find concerning. Not only is the overdetermination apparently not problematic, metaphysically speaking, but that grounding is overdetermined is not problematic, conceptually speaking, either. From a small sampling of alleged cases, however, no such conclusions can responsibly be drawn. And (...) without an account of when a fact is technically overdetermined, we are unable to reasonably answer questions about the acceptability of that overdetermination either. In this paper, I attempt to understand when a fact is technically metaphysically overdetermined. I argue that such an exploration reveals that nothing as regards the overdetermination of grounding is straightforward, and that the phenomenon is deserving of much more philosophical attention. (shrink)

We present two ways in which the model L(R) is canonical assuming the existence of large cardinals. We show that the theory of this model, with ordinal parameters, cannot be changed by small forcing; we show further that a set of ordinals in V cannot be added to L(R) by small forcing. The large cardinal needed corresponds to the consistency strength of AD L (R); roughly ω Woodin cardinals.

As healthcare institutions expand and vertically integrate, healthcare delivery is less constrained by geography, nationality, or even by institutional boundaries. As part of this trend, some aspects of the healthcare process are shifted from medical centers back into the home and communities. Telehealth applications intended for health promotion, social services, and other activitiesprovide services outside clinical settings in homes, schools, libraries, and other governmental and community sites. Such developments include health information web sites, on-line support groups, automated telephone counseling, interactive (...) health promotion programs, and electronic mail exchanges. Concomitant with these developments is the growth of consumer health informatics, in which individuals seeking medical care or information are able to find various health information resources that take advantage of new information technologies. (shrink)

Philosophical questions regarding the nature and methodology of philosophical inquiry have garnered much attention in recent years. Perhaps nowhere are these discussions more developed than in relation to the field of metaphysics. The Routledge Handbook of Metametaphysics is an outstanding reference source to this growing subject. It comprises thirty-eight chapters written by leading international contributors, and is arranged around five themes: • The history of metametaphysics • Neo-Quineanism (and its objectors) • Alternative conceptions of metaphysics • The epistemology of metaphysics (...) • Science and metaphysics. Essential reading for students and researchers in metaphysics, philosophical methodology, and ontology, The Routledge Handbook of Metametaphysics will also be of interest to those in closely related subjects such as philosophy of language, logic, and philosophy of science. (shrink)

We construct coverings which unravel given Π11 sets. This in turn is used to prove, from optimal large cardinal assumptions, the determinacy of games with payoff and the determinacy of games with payoff in the σ algebra generated by Π11 sets.

We show that Mitchell order on downward closed extenders below rank-to-rank type is wellfounded.

Previous studies have explored the effects of attention on spatial representation. Specifically, in the attentional repulsion effect, a transient visual cue that captures attention has been shown to alter the perceived position of a target stimulus to the direction away from the cue. The effect is also susceptible to retrospective influence, that attention appears to attract the target when the cue appears afterwards. This study examined the necessity of visual awareness of the cue in these phenomena. We found that when (...) the cues were rendered invisible by backward visual masks, both repulsion and attraction effects were weakened but still observed. The results suggest that the effects possibly depend on processes that are not necessarily associated with conscious visual awareness of the cues. We conjecture that attentional shift produced by the weak, invisible cues may play a role in spatial distortion; but other possible accounts including non-attentional ones are also discussed. (shrink)

We produce counterexamples to the unique and cofinal branches hypotheses, assuming (slightly less than) the existence of a cardinal which is strong past a Woodin cardinal.