Many theorists have dismissed a priori the idea that distributional information could play a significant role in syntactic category acquisition. We demonstrate empirically that such information provides a powerful cue to syntactic category membership, which can be exploited by a variety of simple, psychologically plausible mechanisms. We present a range of results using a large corpus of child‐directed speech and explore their psychological implications. While our results show that a considerable amount of information concerning the syntactic categories can be obtained (...) from distributional information alone, we stress that many other sources of information may also be potential contributors to the identification of syntactic classes. (shrink)

Much research on judgment and decision making has focussed on the adequacy of classical rationality as a description of human reasoning. But more recently it has been argued that classical rationality should also be rejected even as normative standards for human reasoning. For example, Gigerenzer and Goldstein and Gigerenzer and Todd argue that reasoning involves “fast and frugal” algorithms which are not justified by rational norms, but which succeed in the environment. They provide three lines of argument for this view, (...) based on: the importance of the environment; the existence of cognitive limitations; and the fact that an algorithm with no apparent rational basis, Take-the-Best, succeeds in an judgment task. We reconsider –, arguing that standard patterns of explanation in psychology and the social and biological sciences, use rational norms to explain why simple cognitive algorithms can succeed. We also present new computer simulations that compare Take-the-Best with other cognitive models. Although Take-the-Best still performs well, it does not perform noticeably better than the other models. We conclude that these results provide no strong reason to prefer Take-the-Best over alternative cognitive models. (shrink)

Despite thermodynamic, bioenergetic and phylogenetic failings, the 81‐year‐old concept of primordial soup remains central to mainstream thinking on the origin of life. But soup is homogeneous in pH and redox potential, and so has no capacity for energy coupling by chemiosmosis. Thermodynamic constraints make chemiosmosis strictly necessary for carbon and energy metabolism in all free‐living chemotrophs, and presumably the first free‐living cells too. Proton gradients form naturally at alkaline hydrothermal vents and are viewed as central to the origin of life. (...) Here we consider how the earliest cells might have harnessed a geochemically created proton‐motive force and then learned to make their own, a transition that was necessary for their escape from the vents. Synthesis of ATP by chemiosmosis today involves generation of an ion gradient by means of vectorial electron transfer from a donor to an acceptor. We argue that the first donor was hydrogen and the first acceptor CO2. (shrink)

This book offers the first comparative account of the changes and stabilities of public perceptions of science within the US, France, China, Japan, and across Europe over the past few decades. The contributors address the influence of cultural factors; the question of science and religion and its influence on particular developments (e.g. stem cell research); and the demarcation of science from non-science as well as issues including the incommensurability versus cognitive polyphasia and the cognitive (in)tolerance of different systems of knowledge.

Liberal neutrality is assumed to pertain to rival conceptions of the good. The nature of the rivalry between conceptions of the good is pivotal to the coherence, scope and realisation of liberal neutrality. Yet, liberal theorists have said very little about rivalry. This paper attempts to fill this gap by reviewing three conceptions of rivalry: incompatibility rivalry, intra-domain rivalry and state power rivalry. I argue that state power rivalry is the morally relevant conception of rivalry, and that it has significant (...) implications for the scope and realisation of liberal neutrality. I conclude that in the light of state power rivalry, the only feasible liberal neutral state is a very minimal one. (shrink)

It is often assumed that cognitive science is built upon folk psychology, and that challenges to folk psychology are therefore challenges to cognitive science itself. We argue that, in practice, cognitive science and folk psychology treat entirely non-overlapping domains: cognitive science considers aspects of mental life which do not depend on general knowledge, whereas folk psychology considers aspects of mental life which do depend on general knowledge. We back up our argument on theoretical grounds, and also illustrate the separation between (...) cognitive scientific and folk psychological phenomena in a number of cognitive domains. We consider the methodological and theoretical significance of our arguments for cognitive science research. (shrink)

We respond to Morris and Richardson 's claim that Pickering and Chater's arguments about the lack of a relation between cognitive science and folk psychology are flawed. We note that possible controversies about the appropriate uses for the two terms do not affect our arguments. We then address their claim that computational explanation of knowledge-rich processes has proved possible in the domains of problem solving, scientific discovery, and reasoning. We argue that, in all cases, computational explanation is only possible for (...) aspects of those processes that do not make reference to general knowledge. We conclude that consideration of the issues raised by Morris and Richardson reinforces our original claim that there are two fundamentally distinct projects for understanding the mind, one based on justification, and the other on computational explanation, and that these apply to non-overlapping aspects of mental life. (shrink)

ABSTRACT Because Pastafarianism – or the Church of the Flying Spaghetti Monster – is a parodic religion, common sense suggests its ‘adherents’ should not receive exemptions. However, the prima facie case for excluding Pastafarians is complicated by the fact that many assert their religion is as legitimate as any other religion and that their beliefs are genuine. Indeed, Pastafarians have already obtained exemptions in various countries. Taking the dominant liberal egalitarian, integrity‐based approach to exemptions, this article investigates whether there is (...) a principled, objective basis for excluding Pastafarians that accounts for their assertions. To that end, I examine four tests: a religion, seriousness, obligation, and sincerity test. I assess whether each test can actually exclude Pastafarians, and if it could, can it do so in a way that is consistent with liberal egalitarian commitments. I argue that only a sincerity test – based on consistent behaviour and a willingness to bear the costs of one's beliefs – satisfies both of these conditions, but, on a weak and contingent basis. (shrink)

Despite thermodynamic, bioenergetic and phylogenetic failings, the 81‐year‐old concept of primordial soup remains central to mainstream thinking on the origin of life. But soup is homogeneous in pH and redox potential, and so has no capacity for energy coupling by chemiosmosis. Thermodynamic constraints make chemiosmosis strictly necessary for carbon and energy metabolism in all free‐living chemotrophs, and presumably the first free‐living cells too. Proton gradients form naturally at alkaline hydrothermal vents and are viewed as central to the origin of life. (...) Here we consider how the earliest cells might have harnessed a geochemically created proton‐motive force and then learned to make their own, a transition that was necessary for their escape from the vents. Synthesis of ATP by chemiosmosis today involves generation of an ion gradient by means of vectorial electron transfer from a donor to an acceptor. We argue that the first donor was hydrogen and the first acceptor CO2. (shrink)

What does it mean to ‘drop out’ of therapy? Many definitions of ‘dropout’ have been proposed, but the most widely accepted is the client ending treatment without agreement of their therapist. However, this is in some ways an external criterion that does not take into account the client’s experience of therapy, or reasons for ending it prematurely. This study aimed to identify whether there were more meaningful categories of dropout than the existing dropout definition, and to test whether this refined (...) categorisation of dropout was associated with clinical outcomes. This mixed-methods study used a subset of data from the IMPACT trial, which investigated psychological therapies for adolescent depression. Adolescents were randomly allocated to a treatment arm (Brief Psychosocial Intervention; Cognitive-Behavioural Therapy; Short-Term Psychoanalytic Psychotherapy). The sample for this study comprised 99 adolescents, aged 11-17 years. 32 were classified as having dropped out of treatment and participated in post-therapy qualitative interviews about their experiences of therapy. For 26 dropout cases, the therapist was also interviewed. 67 cases classified as having completed treatment were included to compare their outcomes to dropout cases. Interview data for dropout cases were analysed using ideal type analysis. Three types of dropout were constructed: ‘dissatisfied’ dropout, ‘got-what-they-needed’ dropout, and ‘troubled’ dropout. ‘Dissatisfied’ dropouts reported stopping therapy because they did not find it helpful. ‘Got-what-they-needed’ dropouts reported stopping therapy because they felt they had benefitted from therapy. ‘Troubled’ dropouts reported stopping therapy because of a lack of stability in their lives. The findings indicate the importance of including the perspective of clients in definitions of drop out, as otherwise there is a risk that the heterogeneity of 'dropout' cases may mask more meaningful distinctions. Clinicians should be aware of the range of issues experienced by adolescents in treatment that lead to disengagement. Our typology of dropout may provide a framework for clinical decision-making in managing different types of disengagement from treatment. (shrink)

Planctomycetes, Verrucomicrobia and Chlamydia are prokaryotic phyla, sometimes grouped together as the PVC superphylum of eubacteria. Some PVC species possess interesting attributes, in particular, internal membranes that superficially resemble eukaryotic endomembranes. Some biologists now claim that PVC bacteria are nucleus‐bearing prokaryotes and are considered evolutionary intermediates in the transition from prokaryote to eukaryote. PVC prokaryotes do not possess a nucleus and are not intermediates in the prokaryote‐to‐eukaryote transition. Here we summarise the evidence that shows why all of the PVC traits (...) that are currently cited as evidence for aspiring eukaryoticity are either analogous (the result of convergent evolution), not homologous, to eukaryotic traits; or else they are the result of horizontal gene transfers. (shrink)

Several psychosocial models have been proposed to explain the etiology of eating disorders and obesity separately despite research suggesting they should be conceptualized within a shared theoretical framework. The objective of the current study was to test an integrated comprehensive model consisting of a host of common risk and protective factors expected to explain both eating and weight disorders simultaneously in a large school-based sample of adolescents. Data were collected from 3,043 youth from 41 schools in the Ottawa region, Canada. (...) Working with interested school staff, validated self-report scales in the form of a questionnaire booklet were administered to participating students to assess several understood risk and protective factors common to both eating disorders and obesity. Anthropometric measurements of weight and height were taken at the end of the questionnaire administration period by trained research staff. Structural equation modeling with cross-validation was used to test the hypothesized model. Findings demonstrated that dysregulated eating was associated with both eating disorder and weight status with diet culture and emotion dysregulation directly associated with some of these disordered eating patterns. It equally pointed to how lifestyle made up of high sedentary behaviors, low vigorous exercise and varied eating patterns contributed to both emotion dysregulation and poor body image which subsequently affected eating issues and weight status simultaneously, signaling the complex interplay of psychosocial factors that underlie these concerns. This study provides evidence for an integrated psychosocial model consisting of socio-environmental, psychological, and behavioral factors may best explain the complex interplay of risk and protective factors influencing eating disorders and obesity. It equally highlights understanding the direct and indirect effects of some of the most salient risk factors involved in eating and weight-related concerns, including the strong effects of diet culture and stressors such as weight-based teasing, providing interventionalists evidence of important risk factors to consider targeting in eating disorder and weight-based prevention efforts. (shrink)

Peer review is a widely accepted instrument for raising the quality of science. Peer review limits the enormous unstructured influx of information and the sheer amount of dubious data, which in its absence would plunge science into chaos. In particular, peer review offers the benefit of eliminating papers that suffer from poor craftsmanship or methodological shortcomings, especially in the experimental sciences. However, we believe that peer review is not always appropriate for the evaluation of controversial hypothetical science. We argue that (...) the process of peer review can be prone to bias towards ideas that affirm the prior convictions of reviewers and against innovation and radical new ideas. Innovative hypotheses are thus highly vulnerable to being “filtered out” or made to accord with conventional wisdom by the peer review process. Consequently, having introduced peer review, the Elsevier journal Medical Hypotheses may be unable to continue its tradition as a radical journal allowing discussion of improbable or unconventional ideas. Hence we conclude by asking the publisher to consider re-introducing the system of editorial review to Medical Hypotheses. (shrink)

Future of Humanity Institute, James Martin 21st Century School, University of Oxford, Littlegate House, 16/17 St Ebbe's Street, Oxford OX1 1PT, UK; www.nickbostrom.com..

1 Evidence-based policy requires researchers to provide the answers to ecological questions that are of interest to policy makers. To find out what those questions are in the UK, representatives from 28 organizations involved in policy, together with scientists from 10 academic institutions, were asked to generate a list of questions from their organizations. 2 During a 2-day workshop the initial list of 1003 questions generated from consulting at least 654 policy makers and academics was used as a basis for (...) generating a short list of 100 questions of significant policy relevance. Short-listing was decided on the basis of the preferences of the representatives from the policy-led organizations. 3 The areas covered included most major issues of environmental concern in the UK, including agriculture, marine fisheries, climate change, ecosystem function and land management. 4 The most striking outcome was the preference for general questions rather than narrow ones. The reason is that policy is driven by broad issues rather than specific ones. In contrast, scientists are frequently best equipped to answer specific questions. This means that it may be necessary to extract the underpinning specific question before researchers can proceed. 5 Synthesis and applications. Greater communication between policy makers and scientists is required in order to ensure that applied ecologists are dealing with issues in a way that can feed into policy. It is particularly important that applied ecologists emphasize the generic value of their work wherever possible. (shrink)

Maurice Blanchot, in his essay on Hülderlin, calls our age “an empty time.” Martin Heidegger, paraphrasing Hülderlin's monumental elegy “Bread and Wine,” speaks of our “destitution.” In Hülderlin's language, we are experiencing the absence of the “gods who have fled.” The Western world, according to these authors, finds itself in a crisis of alienation: the old beliefs, values, and worldviews that used to anchor us in the world have been long rent asunder, and we cast about in vain for (...) a ground that isn't there. Yet, as Heidegger writes, our time is “no longer able even to experience its own…. (shrink)

Peter Abelard (1079–1142 ce) was the most wide‐ranging philosopher of the twelfth century. He quickly established himself as a leading teacher of logic in and near Paris shortly after 1100. After his affair with Heloise, and his subsequent castration, Abelard became a monk, but he returned to teaching in the Paris schools until 1140, when his work was condemned by a Church Council at Sens. His logical writings were based around discussion of the “Old Logic”: Porphyry's Isagoge, aristotle'S Categories and (...) On Interpretation and boethius'S textbook on topical inference. They comprise a freestanding Dialectica (“Logic”; probably c.1116), a set of commentaries (known as the Logica [Ingredientibus], c. 1119) and a later (c. 1125) commentary on the Isagoge (Logica Nostrorum Petititoni Sociorum or Glossulae). In a work Abelard called his Theologia, issued in three main versions (between 1120 and c.1134), he attempted a logical analysis of trinitarian relations and explored the philosophical problems surrounding God's claims to omnipotence and omniscience. The Collationes (“Debates,” also known as “Dialogue between a Christian, a Philosopher and a Jew”; probably c.1130) present a rational investigation into the nature of the highest good, in which the Christian and the Philosopher (who seems to be modeled on a philosopher of pagan antiquity) are remarkably in agreement. The unfinished Scito teipsum (“Know thyself,” also known as the “Ethics”; c.1138) analyses moral action. (shrink)

The problem of free will has fascinated philosophers since ancient times: Do we have free will, or at least the kind of free will that seems necessary for moral responsibility? Does determinism - the idea that everything that happens is necessitated to happen, given the past and the laws of nature - threaten the commonly held assumption that we are indeed free and morally responsible? Although these questions have been widely discussed in the past, the present volume offers a variety (...) of new perspectives from philosophers who have made significant contributions to this debate over recent years, including Derk Pereboom, Robert Kane, Ishtiyaque Haji, Michael McKenna, John Martin Fischer, David Widerker and Saul Smilansky. The emphasis in these essays is not merely on free will, but on allied notions such as moral responsibility, moral obligation, fairness and meaningfulness, and on whether any room can be made for these notions in a deterministic or an indeterministic universe. (shrink)

While a vast body of research has been dedicated to understanding social problems and psychological disorders, we know remarkably little about the positive aspects of life, the things that make life worth living. This volume brings together the latest findings on the causes and consequences of human happiness and well-being. The book covers a wide variety of disciplines, encompassing evolutionary biology, positive psychology, economics and social science, neuroscience and peace studies. Contributors to the volume include some of the most distinguished (...) scholars in the field: social scientist Robert Putnam, evolutionary psychiatrist Randolph Nesse, psychologist Howard Gardner, economist Robert Frank, the founder of the Positive Psychology movement Martin Seligman, and the economic psychologist and Nobel Laureate Daniel Kahneman. (shrink)

In this paper, I present and criticize Ted Kaczynski’s (“The Unabomber”) theory that industrialization has been terrible for humanity, and that we should use any means necessary, including violent means, to induce a return to pre‐industrial ways of living. Although Kaczynski’s manifesto, Industrial society and its future, has become widely known, his ideas have never before been subject to careful philosophical criticism. In this paper I show how Kaczynski’s arguments rely on a number of highly implausible philosophical premises. I further (...) make the case that, although his theory as a whole should be rejected, Kaczynski raises a number of worries about technological development that ought to receive serious attention. Some of these worries have recently come to be shared by prominent defenders of human enhancement, including Nick Bostrom and Julian Savulescu. In the last section I indicate why I believe it is important that academic philosophers scrutinize ideas that motivate acts of violence. (shrink)

The political actions of Martin Heidegger raise a compelling question to those concerned with philosophy: How was one of the most important philosophers of the 20th century willing to ally himself with Nazism and what does this mean for philosophy? This question has been raised and brushed aside from the end of the Second World War, when Heidegger was formally accused for his involvement with Hitler's regime and forbidden to attain any official teaching position henceforth. Important thinkers, like his (...) colleague and friend in the pre-war years, Karl Jaspers. testified then against him. But Heidegger's fame rose again above his indignity in the 1950s, when Hannah Arendt in the USA and Jean-Paul Sartre in France, among others, began once again to spread the word of his philosophy and translate his works. These problems have recently intensified after the posthumous publication of Heidegger's Black Notebooks (Schwarze Hefte) in 2014, containing his notes from 1931-1941. Their publication caused seismic tremors in the field of philosophy, with Heidegger's opponents considering themselves finally vindicated by his own pen, and his supporters trying to separate thinking from actual life. However, the influence of Heidegger's thought - as well as that of other representatives of German anti-humanist nationalistic conservatism, such as Oswald Spengler - continues to spread, not only in academic but also in broader social and political circles. In the face of this spreading influence, which is combined with the influence of some disciples such as Nick Land or Giorgio Agamben, a biographical-type confrontation is not enough. We should confront Heidegger directly at the core of his philosophy. We cannot afford to ignore him or bury him under superficial gossip. Instead, we should confront him philosophically. We might be able to clear the ground for such a confrontation, if we resort to the philosophical concepts of autonomy, temporality, and human freedom. In my opinion, the most important philosophical challenge to Heideggerian thought, in this context, has been expressed by Cornelius Castoriadis. In the following chapters, I will argue in favor of this position, outlining the Castoriadian philosophy of time in contrast to the Heideggerian and highlighting the main points of their opposition. The book is divided into two parts. Part one, "Castoriadis against Heidegger" deals with the basic concepts and arguments of both philosophers around human existence, the individual, society, and temporality. We start by presenting Heidegger's scandal in the social-historical context but also with the help of Hannah Arendt's last assessment of the thinker. We move on to outline the basic concepts and structures of Heidegger's philosophical thinking in parallel with Castoriadis' criticism as regards politics, ontology and technoscience. Part two, "Time and existence" first examines the relevant approaches of Lukacs and Ricoeur in comparison to Heidegger and Castoriadis, to elucidate the basic concept of temporality and then presents an outline of Castoriadis' insights on time and existence, before finally applying these concepts to contemporary social-historical phenomena that redefine and transform human existence and social temporalities, like space exploration, digital cyberspaces and online communications. //////// -/- "This book is a tour de force that excites those who agree or disagree with the philosophy of Heidegger. With clarity and sophistication, Schismenos revives the public debate to reveal the rich possibilities for another world. A must-read for everyone interested in a philosophy that matters." - VASILIS KOSTAKIS - Professor of P2P Governance at Tallinn University of Technology and Faculty Associate at Harvard University -/- . (shrink)

As Holderlin was to Martin Heidegger and Mallarme to Jacques Derrida, so is H.P. Lovecraft to the Speculative Realist philosophers. Lovecraft was one of the brightest stars of the horror and science fiction magazines, but died in poverty and relative obscurity in the 1930s. In 2005 he was finally elevated from pulp status to the classical literary canon with the release of a Library of America volume dedicated to his work. The impact of Lovecraft on philosophy has been building (...) for more than a decade. Initially championed by shadowy guru Nick Land at Warwick during the 1990s, he was later discovered to be an object of private fascination for all four original members of the twenty-first century Speculative Realist movement. In this book, Graham Harman extracts the basic philosophical concepts underlying the work of Lovecraft, yielding a weird realism capable of freeing continental philosophy from its current soul-crushing impasse. Abandoning pious references by Heidegger to Holderlin and the Greeks, Harman develops a new philosophical mythology centered in such Lovecraftian figures as Cthulhu, Wilbur Whately, and the rat-like monstrosity Brown Jenkin. The Miskatonic River replaces the Rhine and the Ister, while Holderlin's Caucasus gives way to Lovecraft's Antarctic mountains of madness. (shrink)

The human brain has some capabilities that the brains of other animals lack. It is to these distinctive capabilities that our species owes its dominant position. Other animals have stronger muscles or sharper claws, but we have cleverer brains. If machine brains one day come to surpass human brains in general intelligence, then this new superintelligence could become very powerful. As the fate of the gorillas now depends more on us humans than on the gorillas themselves, so the fate of (...) our species then would come to depend on the actions of the machine superintelligence. But we have one advantage: we get to make the first move. Will it be possible to construct a seed AI or otherwise to engineer initial conditions so as to make an intelligence explosion survivable? How could one achieve a controlled detonation? To get closer to an answer to this question, we must make our way through a fascinating landscape of topics and considerations. Read the book and learn about oracles, genies, singletons; about boxing methods, tripwires, and mind crime; about humanity's cosmic endowment and differential technological development; indirect normativity, instrumental convergence, whole brain emulation and technology couplings; Malthusian economics and dystopian evolution; artificial intelligence, and biological cognitive enhancement, and collective intelligence. (shrink)

To what extent should we use technological advances to try to make better human beings? Leading philosophers debate the possibility of enhancing human cognition, mood, personality, and physical performance, and controlling aging. Would this take us beyond the bounds of human nature? These are questions that need to be answered now.

The human desire to acquire new capacities is as ancient as our species itself. We have always sought to expand the boundaries of our existence, be it socially, geographically, or mentally. There is a tendency in at least some individuals always to search for a way around every obstacle and limitation to human life and happiness.

What is it to know more? By what metric should the quantity of one's knowledge be measured? I start by examining and arguing against a very natural approach to the measure of knowledge, one on which how much is a matter of how many. I then turn to the quasi-spatial notion of counterfactual distance and show how a model that appeals to distance avoids the problems that plague appeals to cardinality. But such a model faces fatal problems of its own. (...) Reflection on what the distance model gets right and where it goes wrong motivates a third approach, which appeals not to cardinality, nor to counterfactual distance, but to similarity. I close the paper by advocating this model and briefly discussing some of its significance for epistemic normativity. In particular, I argue that the 'trivial truths' objection to the view that truth is the goal of inquiry rests on an unstated, but false, assumption about the measure of knowledge, and suggest that a similarity model preserves truth as the aim of belief in an intuitively satisfying way. (shrink)

The standard topological representation of a Boolean algebra via the clopen sets of a Stone space requires a nonconstructive choice principle, equivalent to the Boolean Prime Ideal Theorem. In this article, we describe a choice-free topological representation of Boolean algebras. This representation uses a subclass of the spectral spaces that Stone used in his representation of distributive lattices via compact open sets. It also takes advantage of Tarski’s observation that the regular open sets of any topological space form a Boolean (...) algebra. We prove without choice principles that any Boolean algebra arises from a special spectral space X via the compact regular open sets of X; these sets may also be described as those that are both compact open in X and regular open in the upset topology of the specialization order of X, allowing one to apply to an arbitrary Boolean algebra simple reasoning about regular opens of a separative poset. Our representation is therefore a mix of Stone and Tarski, with the two connected by Vietoris: the relevant spectral spaces also arise as the hyperspace of nonempty closed sets of a Stone space endowed with the upper Vietoris topology. This connection makes clear the relation between our point-set topological approach to choice-free Stone duality, which may be called the hyperspace approach, and a point-free approach to choice-free Stone duality using Stone locales. Unlike Stone’s representation of Boolean algebras via Stone spaces, our choice-free topological representation of Boolean algebras does not show that every Boolean algebra can be represented as a field of sets; but like Stone’s representation, it provides the benefit of a topological perspective on Boolean algebras, only now without choice. In addition to representation, we establish a choice-free dual equivalence between the category of Boolean algebras with Boolean homomorphisms and a subcategory of the category of spectral spaces with spectral maps. We show how this duality can be used to prove some basic facts about Boolean algebras. (shrink)

This article provides an algebraic study of the propositional system $\mathtt {InqB}$ of inquisitive logic. We also investigate the wider class of $\mathtt {DNA}$ -logics, which are negative variants of intermediate logics, and the corresponding algebraic structures, $\mathtt {DNA}$ -varieties. We prove that the lattice of $\mathtt {DNA}$ -logics is dually isomorphic to the lattice of $\mathtt {DNA}$ -varieties. We characterise maximal and minimal intermediate logics with the same negative variant, and we prove a suitable version of Birkhoff’s classic variety (...) theorems. We also introduce locally finite $\mathtt {DNA}$ -varieties and show that these varieties are axiomatised by the analogues of Jankov formulas. Finally, we prove that the lattice of extensions of $\mathtt {InqB}$ is dually isomorphic to the ordinal $\omega +1$ and give an axiomatisation of these logics via Jankov $\mathtt {DNA}$ -formulas. This shows that these extensions coincide with the so-called inquisitive hierarchy of [9].1. (shrink)