In this paper we show that there are "E₀ many" orbit inequivalent free actions of the free groups Fn. 2 ≤ n ≤ ∞ by measure preserving transformations on a standard Borel probability space. In particular, there are uncountably many such actions.

We investigate the mathematics of a model of the human mind which has been proposed by the psychologist Jens Mammen. Mathematical realizations of this model consists of what the first author (A.T.) has called Mammen spaces, where a Mammen space is a triple in the Baumgartner–Laver model.Finally, consequences for psychology are discussed.

Urgent environmental problems call for vigorous research and theory on how humans develop a relationship with nature. For eight years, Peter Kahn studied children, young adults, and parents in diverse geographical locations, ranging from an economically impoverished black community in Houston to a remote village in the Brazilian Amazon. In these studies Kahn sought answers to the following questions: How do people value nature, and how do they reason morally about environmental degradation? Do children have a deep connection to the (...) natural world that gets severed by modern society? Or do such connections emerge, if at all, later in life, with increased cognitive and moral maturity? Are there universal features in the human relationship with nature? Kahn's empirical and theoretical findings draw on current work in psychology, biology, environmental behavior, education, policy, and moral development. (shrink)

Abstract: To evaluate the explanation of change blindness in terms of misrepresentation and determine its role for Rosenthal’s higher-order thought theory of consciousness, we present an alternative account of change blindness that affords an independent outlook and provides a viable alternative. First we describe Rosenthal’s actualism and the notion of misrepresentation, then introduce change blindness and the explanation of it by misrepresentation. Rosenthal asserts that, in change blindness, the first-order state tracks the post-change stimulus, but the higher-order state misrepresents it. (...) We propose the alternative that both post-change and pre-change content can be tracked by the first-order state, and that in change blindness the higher-order thought represents the pre-change state, resulting in a good-enough representation: true but not veridical. We compare the two explanations with respect to available data and analyse the principal theoretical claims. Discussing the rationale of the alternative account, we conclude that there is good reason to conceive of the mind as satisficing, geared towards reliability instead of truth-tracking, and guided by representations that are good enough as opposed to complete or corresponding to the facts. We end with some methodological remarks concerning the risk of cognitive biases in interdisciplinary research that brings together empirical and philosophical claims. (shrink)

In combination with post-selection, weak measurements can lead to surprising results known as anomalous weak values. These lie outside the bounds of the spectrum of the relevant observable, as in the canonical example of measuring the spin of an electron (along some axis) to be 100. We argue that the disturbance caused by the weak measurement, while small, is sufficient to significantly affect the measurement result, and that this is the most reasonable explanation of anomalous weak values.

Machine generated contents note: The Natural Order -- [Part] 11 -- Part 2: Expeditions to New Worlds -- Appendix -- Value and Economy -- Part I: Critique of political economy -- Part 2: The exploitation of the unique -- Topical additions -- Luck and Chance -- Notes.

Videnskabsteori handler om krav til videnskabelig viden, og disse krav hviler på forudsætninger, der kan ekspliciteres yderligere. -/- Specielt i dag er der dog brug for en bog, der ikke blot analyserer den klassiske videnskabsteori, men i samme diskurs også forholder sig til de meget forskellige tankegange, der i dag giver sig ud for at være videnskabsteori. -/- Om videnskabelig viden til dem, der ønsker et bedre videnskabsteoretisk overblik, og til dem som ønsker at gå mere i dybden med den (...) egentlige filosofiske videnskabsteori. Bogen henvender sig til studerende og færdige kandidater inden for især samfundsvidenskab og humaniora. -/- Asger Sørensens ambition med bogen er at bidrage til klarhed og fornuft i en verden, hvor ideologisk forblændelse ikke blot sker gennem massemedier og underholdningsindustri, men også gennem en akademisk teoriproduktion, der udvikler og anerkender alle mulige programmer for videnskab. (shrink)

According to Clifford Geertz, the purpose of anthropology is not to explain culture but to explicate it. That should cause us to rethink our relationship with machine learning. It is, we contend, perfectly possible that machine learning algorithms, which are unable to explain, and could even be unexplainable themselves, can still be of critical use in a process of explication. Thus, we report on an experiment with anthropological AI. From a dataset of 175K Facebook comments, we trained a neural network (...) to predict the emoji reaction associated with a comment and asked a group of human players to compete against the machine. We show that a) the machine can reach the same accuracy as the players, b) it fails in roughly the same ways as the players, and c) easily predictable emoji reactions tend to reflect unambiguous situations where interpretation is easy. We therefore repurpose the failures of the neural network to point us to deeper and more ambiguous situations where interpretation is hard and explication becomes both necessary and interesting. We use this experiment as a point of departure for discussing how experiences from anthropology, and in particular the tension between formalist ethnoscience and interpretive thick description, might contribute to debates about explainable AI. (shrink)

Value is a basic concept in economics, ethics and sociology. Locke made labour the source of value, whereas Smith referred to an ideal exchange and Kant specified that commodities only have a market price, no intrinsic value. One can distinguish two modern concepts of value, an economic one trying to explain value in terms of utility, interest or preferences, and an ideal one considering values as ends in themselves. On this basis, Durkheim constructed his theory of value, which was developed (...) by his followers Mauss and Bouglé and further by Bataille. Their line of thought makes it possible to develop a conceptual framework, which can be used to criticise neo-liberalism, big business and the effects of globalisation, while at the same time defending the moral value of business and giving an interpretation of the anti-globalisation protests. (shrink)

A tacit assumption in the field of consciousness studies is that the more empirical evidence a theory can explain, the better it fares when weighed against competitors. If one wants to take seriously the potential for empirical evidence to move forward debates in consciousness studies, there is a need to gather, organize, validate, and compare evidence. We present an inference to the best explanation (IBE) process on the basis of empirical support that is applicable in debates between competing theories of (...) consciousness. Our proposed IBE process consists in four steps: Assimilate, Compile, Validate, and Compare. Until now, the vast majority of the work in the field has consisted in gathering empirical evidence for theories i.e., the assimilation step. To illustrate the feasibility of our proposed IBE process, and what it may look like when applied in practice, we deliver a complete collection (the compilation step) of empirical support for the distinction between A-Consciousness and P-Consciousness and the overflow hypothesis. Finally, we offer an example of the validation step, by scrutinizing the interpretation of aphantasics’ performance on retro-cue paradigms offered in the literature in support of the overflow hypothesis. The compilation we deliver here is the first effort in the IBE process, the end result of which — hopefully — will be the ability of the research community to carry out side-by-side comparisons of theories and the empirical phenomena they claim to explain, i.e., the comparison step. (shrink)

Recently, the possibility of misrepresentation has resurfaced in the debate between higher-order thought theorists and their opponents. One new element in the debate has been the rare cases of Charles Bonnet syndrome , proposed as empirical evidence for misrepresentation as posited by the higher-order theories. In this article I will spell out the argument supposedly underlying the claim that the RCB cases are genuine empirical evidence of misrepresentation. I will then proceed to show that this argument relies on a hidden (...) premise. With this premise exposed the argument cannot support the notion of misrepresentation posited by higher-order theories. (shrink)

Today the idea of cosmopolitanism has become widely accepted as an appropriate answer to what we now call globalization. A key reference is Kant who argues for a Recht of the world citizen, and this is normally understood as a cosmopolitan law. Apparently Kant lets the law of the world citizen be limited to a right to visit, but somehow his peace project must imply something more than just this very modest claim. Following a hint from Kant himself I take (...) a closer look at the material aspect of cosmopolitanism, i.e. the economy of travelling, and it appears that cosmopolitanism can function as an ideology for letting possible investors look for business cases, that is, for promising places for capitalist exploitation. As an answer to such strong material processes cosmopolitanism is insufficient, both as a moral imperative and as a stipulated right. What we need is a more comprehensive political and legal perspective and the solutions this indicates. To get inspiration for this, however, we can turn to Kant again, since it turns out that he does not argue for cosmopolitanism at all, neither as a programme nor as an ideology. For Kant the overall goal is perpetual peace, and the law of the world citizen represents only one subordinate element. As an answer to globalization we should thus drop the limited ideal of cosmopolitanism and follow Kant in his ambition of a threefold political constitution comprising state law, law of the people and law of the world citizen. (shrink)

Some proponents of the higher-order thought theory of consciousness defend the view that higher-order misrepresentation is possible. In support of this view they have proposed various pieces of empirical evidence. This paper examines one such piece of proposed empirical evidence; Change blindness. CB occurs when a subject fails to detect salient changes in visual scenes. I propose an alternative interpretation of the CB phenomenon on which misrepresentation does not occur. Finally, I examine three lines of reply that might be pursued (...) to defend the claim that CB is evidence of misrepresentation against my interpretation. I conclude that none of the lines of reply succeed in preserving CB as evidence of misrepresentation. The upshot is that, pending further evidence, CB cannot be deployed as empirical evidence in the debate on misrepresentation. (shrink)

We prove that if V = L then there is a $\Pi _{1}^{1}$ maximal orthogonal (i.e., mutually singular) set of measures on Cantor space. This provides a natural counterpoint to the well-known theorem of Preiss and Rataj [16] that no analytic set of measures can be maximal orthogonal.

We announce some new results regarding the classification problem for separable von Neumann algebras. Our results are obtained by applying the notion of Borel reducibility and Hjorth's theory of turbulence to the isomorphism relation for separable von Neumann algebras.

I present two caveats to the meta-problem challenge to theories of consciousness. Chalmers suggests that a theory of consciousness that solves the hard problem should also inform us about the meta-problem, and vice versa. The first caveat is the view that mechanism M, the mechanism through which content becomes conscious, may be neutral with respect to the content it renders conscious. This means that there can be no systematic connection between M and conscious content. The second caveat concerns how we (...) should treat the problem intuitions fueling the meta-problem. I argue that we should award them no special status with respect to their explanatory power in relation to the hard problem. (shrink)