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)

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.

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)

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.

Fortunately, alienation has returned to the agenda of critical thought. Discussing the idea that alienation is implied by capitalism rather than human existence, it is argued Marx’s original idea of alienation still has critical as well as educational and political potential.

Hans-Jørgen Schanz (1948-2022) har i mere end 50 år været en af de mest tænksomme og væsentlige danske intellektuelle, og han var samtidig som professor den bærende og ikke mindst samlende kraft på Idéhistorie ved Aarhus Universitet. Forskningsmæssigt spændte han meget vidt over områder som metafysik, modernitet, politisk filosofi, kunstfilosofi, religionsfilosofi og teologi. Han har begået omkring 40 bøger og et utal af artikler, og han havde en uforlignelig beundringsværdig evne til at tænke selv og insisterede gennem hele sit årelange (...) virke på, at tænkningen skulle være båret af ånd. Han var derudover en meget skattet foredragsholder på højskoler, sognegårde, Folkeuni-versitetet, teologiske konventer og efter- og videreuddannelsesregi. (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)

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.

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)