Geometry defines entities that can be physically realized in space, and our knowledge of abstract geometry may therefore stem from our representations of the physical world. Here, we focus on Euclidean geometry, the geometry historically regarded as “natural”. We examine whether humans possess representations describing visual forms in the same way as Euclidean geometry – i.e., in terms of their shape and size. One hundred and twelve participants from the U.S. (age 3–34 years), and 25 participants from the Amazon (age (...) 5–67 years) were asked to locate geometric deviants in panels of 6 forms of variable orientation. Participants of all ages and from both cultures detected deviant forms defined in terms of shape or size, while only U.S. adults drew distinctions between mirror images (i.e. forms differing in “sense”). Moreover, irrelevant variations of sense did not disrupt the detection of a shape or size deviant, while irrelevant variations of shape or size did. At all ages and in both cultures, participants thus retained the same properties as Euclidean geometry in their analysis of visual forms, even in the absence of formal instruction in geometry. These findings show that representations of planar visual forms provide core intuitions on which humans’ knowledge in Euclidean geometry could possibly be grounded. (shrink)

Geometry, etymologically the “science of measuring the Earth”, is a mathematical formalization of space. Just as formal concepts of number may be rooted in an evolutionary ancient system for perceiving numerical quantity, the fathers of geometry may have been inspired by their perception of space. Is the spatial content of formal Euclidean geometry universally present in the way humans perceive space, or is Euclidean geometry a mental construction, specific to those who have received appropriate instruction? The spatial content of the (...) formal theories of geometry may depart from spatial perception for two reasons: first, because in geometry, only some of the features of spatial figures are theoretically relevant; and second, because some geometric concepts go beyond any possible perceptual experience. Focusing in turn on these two aspects of geometry, we will present several lines of research on US adults and children from the age of three years, and participants from an Amazonian culture, the Mundurucu. Almost all the aspects of geometry tested proved to be shared between these two cultures. Nevertheless, some aspects involve a process of mental construction where explicit instruction seem to play a role in the US, but that can still take place in the absence of instruction in geometry. (shrink)

Humans possess two nonverbal systems capable of representing numbers, both limited in their representational power: the first one represents numbers in an approximate fashion, and the second one conveys information about small numbers only. Conception of exact large numbers has therefore been thought to arise from the manipulation of exact numerical symbols. Here, we focus on two fundamental properties of the exact numbers as prerequisites to the concept of EXACT NUMBERS : the fact that all numbers can be generated by (...) a successor function and the fact that equality between numbers can be defined in an exact fashion. We discuss some recent findings assessing how speakers of Munduruc (an Amazonian language), and young Western children (3-4 years old) understand these fundamental properties of numbers. (shrink)

Des branches entières des mathématiques sont fondées sur des liens posés entre les nombres et l’espace : mesure de longueurs, définition de repères et de coordonnées, projection des nombres complexes sur le plan… Si les nombres complexes, comme l’utilisation de repères, sont apparus relativement récemment (vers le XVIIe siècle), la mesure des longueurs est en revanche un procédé très ancien, qui remonte au moins au 3e ou 4e millénaire av. J-C. Loin d’être fortuits, ces liens entre les nombres et l’espace (...) reflèteraient une intuition fondamentale, universelle, façonnée au cours des millénaires par la sélection naturelle, et qui aurait servi de guide et d’inspiration aux mathématiciens au fil des siècles. (shrink)

Does geometry constitues a core set of intuitions present in all humans, regarless of their language or schooling ? We used two non verbal tests to probe the conceptual primitives of geometry in the Munduruku, an isolated Amazonian indigene group. Our results provide evidence for geometrical intuitions in the absence of schooling, experience with graphic symbols or maps, or a rich language of geometrical terms.

While the French phenomenologist Maurice Merleau-Ponty remained engaged with artistic creation throughout his entire work, which continues to inspire artists today in manifold ways, no systematic and artistically inclusive study of this dimension of his thought has existed so far. Du sensible à l’œuvre fills this gap by offering not only an in-depth study of Merleau-Ponty’s aesthesiology and aesthetics by international Merleau-Ponty scholars spanning three generations, but also a rich selection of essays by art critics and theorists who assess the (...) impact of Merleau-Ponty’s philosophy on their own artistic fields, including cinema, music, literature, film, dance, and installation art. (shrink)

Kant argued that Euclidean geometry is synthesized on the basis of an a priori intuition of space. This proposal inspired much behavioral research probing whether spatial navigation in humans and animals conforms to the predictions of Euclidean geometry. However, Euclidean geometry also includes concepts that transcend the perceptible, such as objects that are infinitely small or infinitely large, or statements of necessity and impossibility. We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that (...) are present in all humans, even in the absence of formal mathematical education. Our tests probed intuitions of points, lines, and surfaces in participants from an indigene group in the Amazon, the Mundurucu, as well as adults and age-matched children controls from the United States and France and younger US children without education in geometry. The responses of Mundurucu adults and children converged with that of mathematically educated adults and children and revealed an intuitive understanding of essential properties of Euclidean geometry. For instance, on a surface described to them as perfectly planar, the Mundurucu's estimations of the internal angles of triangles added up to ∼180 degrees, and when asked explicitly, they stated that there exists one single parallel line to any given line through a given point. These intuitions were also partially in place in the group of younger US participants. We conclude that, during childhood, humans develop geometrical intuitions that spontaneously accord with the principles of Euclidean geometry, even in the absence of training in mathematics. (shrink)

Is calculation possible without language? Or is the human ability for arithmetic dependent on the language faculty? To clarify the relation between language and arithmetic, we studied numerical cognition in speakers of Mundurukú, an Amazonian language with a very small lexicon of number words. Although the Mundurukú lack words for numbers beyond 5, they are able to compare and add large approximate numbers that are far beyond their naming range. However, they fail in exact arithmetic with numbers larger than 4 (...) or 5. Our results imply a distinction between a nonverbal system of number approximation and a language-based counting system for exact number and arithmetic. (shrink)

The mapping of numbers onto space is fundamental to measurement and to mathematics. Is this mapping a cultural invention or a universal intuition shared by all humans regardless of culture and education? We probed number-space mappings in the Mundurucu, an Amazonian indigene group with a reduced numerical lexicon and little or no formal education. At all ages, the Mundurucu mapped symbolic and nonsymbolic numbers onto a logarithmic scale, whereas Western adults used linear mapping with small or symbolic numbers and logarithmic (...) mapping when numbers were presented nonsymbolically under conditions that discouraged counting. This indicates that the mapping of numbers onto space is a universal intuition and that this initial intuition of number is logarithmic. The concept of a linear number line appears to be a cultural invention that fails to develop in the absence of formal education. (shrink)

All humans share a universal, evolutionarily ancient approximate number system (ANS) that estimates and combines the numbers of objects in sets with ratio-limited precision. Interindividual variability in the acuity of the ANS correlates with mathematical achievement, but the causes of this correlation have never been established. We acquired psychophysical measures of ANS acuity in child and adult members of an indigene group in the Amazon, the Mundurucú, who have a very restricted numerical lexicon and highly variable access to mathematics education. (...) By comparing Mundurucú subjects with and without access to schooling, we found that education significantly enhances the acuity with which sets of concrete objects are estimated. These results indicate that culture and education have an important effect on basic number perception. We hypothesize that symbolic and nonsymbolic numerical thinking mutually enhance one another over the course of mathematics instruction. (shrink)

Calling someone fat is not only cruel and unkind—it also subordinates them. While the sharpest and most immediate harms of fatphobic bullying are emotional and psychological, these vary according to the resilience of the target. What one person can laugh off, another feels deeply, perhaps for years. But ‘fat-calling’ does not only have individual harms—it also perpetuates a subordinating social structure ranking fat people as inferior. Despite recent work on obesity and fatphobia, the conversational dynamics of ascribing fatness to someone (...) else (rather than oneself) are relatively unexplored, especially in philosophy. This paper argues that fat-calling assigns its target a subordinate discourse role, constraining their subsequent conversational behaviour and permitting further discriminatory behaviour from interlocutors. And these conversational norm-changes alter the initial permissibility conditions of future conversations to the detriment of fat people. This is not to say that fat-calling is morally equivalent to slurs and hate speech—but it does show that it leverages similar conversational mechanisms to entrench injustice. (shrink)

Contemporary Western societies are obsessed with the “obesity epidemic,” dieting, and fitness. Fat people violate the Western conscience by violating a thinness norm. In virtue of violating the thinness norm, fat people suffer many varied consequences. Is their suffering morally permissible, or even obligatory? In this paper, I argue that the answer is no. I examine contemporary philosophical accounts of oppression and draw largely on the work of Sally Haslanger to generate a set of conditions sufficient for some phenomena to (...) count as oppression, and I illustrate the account’s value using the example of gender oppression. I then apply the account to fat people, examine empirical evidence, and argue that the suffering of fat people counts as oppression. (shrink)

A frequent caveat in online dating profiles – “No fats, femmes, or Asians” – caused an LGBT activist to complain about the bias against Asians in the American gay community, which he called “racial looksism”. In response, he was asked that, if he himself would not date a fat person, why he should find others not dating Asians so upsetting. This response embodies a popular attitude that personal preferences or tastes are simply personal matters – they are not subject to (...) moral evaluation. In this paper, I argue, against this popular attitude, that a personal preference like racial looksism is indeed wrong. A preference like racial looksism is wrong because it is an overgeneralization that disrespects individuality by treating people as exchangeable tokens of one type, and such disrespect denies its objects appreciation that their dignity entitles them to. As it turns out, there is on my account a relevant moral difference between racial looksism and simple looksism. (shrink)

In this paper we track the ‘body positivity’ movement from its origins, promoting radical acceptance of marginalized bodies, to its co-optation as a push for self-love for all bodies, including those bodies belonging to socially dominant groups. We argue that the new focus on the ‘body positivity’ movement involves a single-minded emphasis on beauty and aesthetic adornment, and that this undermines the original focus of social and political equality, pandering instead to capitalism and failing to rectify unjust institutions and policies. (...) As such, we argue that the ‘body positivity’ movement ultimately marginalises further the bodies for which it initially sought justice and acceptance. (shrink)

This paper critically interrogates the anti-fat beliefs that are employed in environmental bioethics, particularly in response to climate change. Fat bodies have been associated with climate change because they are presumed to consume more resources and produce more greenhouse gas emissions. In this paper, we argue that such interpretations employ mistaken assumptions to justify placing disproportionate blame on already oppressed individuals, reinforcing weight stigma, which increases the vulnerability of fat people to a range of harms and disproportionately affects communities of (...) color. For these reasons, conceiving fat bodies as harmful to the environment is both misguided and unjust. (shrink)

In this article, I criticize Véronique Zanetti on the topic of moral compromise. As I understand Zanetti, a compromise could only be called a “moral compromise” if (i) it does not originate under coercive conditions, (ii) it involves conflict whose subject matter is moral, and (iii) “the parties support the solution found for what they take to be moral reasons rather than strategic interests.” I offer three criticisms of Zanetti. First, Zanetti ignores how some parties may not have reason (...) to seek social peace at all. Zanetti’s claim that there is consensus on the aim of social peace can involve idealising away from disagreement in a manner that Zanetti accuses Rawls of. Second, even if there is consensus on the aim of seeking social peace, this leaves open the possibility of disagreement about which society different people should belong to. This idealises away from real world conflict concerning borders. Indeed, Zanetti does not mention that her ‘central example’ of moral disagreement, the German Abortion compromise, was enacted in the wake of German reunification. Third, there are at least two things that can be called the ‘German Abortion compromise.’ The compromise that Zanetti speaks of was imposed by the German Federal Constitutional Court. The court declared unconstitutional a law passed in 1992 that had been negotiated in parliament. Zanetti does not dwell on this lack of democratic credentials. Even the substance of the court-imposed solution is itself a dubious example of a moral compromise between parties based on what is acceptable to their reason. -/- (penultimate version - If you would like the .pdf of the final version for personal scholarly use, please contact me through the email address on my profile or my CV.). (shrink)

When fat people are depicted in popular media, we often take their behavior to be representative of all fat people. How one fat person acts becomes representative of a broader pattern of behavior that all fat people are presumed to share, shaping the way we understand fatness. This way of generalizing presents fatness as a singular experience, reducing fat people to a monolithic narrative that often reinforces anti-fat bias. How do we avoid this reduction? How can we responsibly depict fat (...) characters without perpetuating negative stereotypes about real fat people? Using the case of “Fat Thor” from Avengers: Endgame, I propose the beginnings of an account of responsible artistic agency which can be used to improve the ways that marginalized communities are depicted in art, with a particular focus on fat communities. Central to this account are two features: inclusion of and deference to members of the communities depicted from a variety of backgrounds throughout the production process, and mindfulness of the preexisting narrative web built around the communities depicted. I will use this discussion to highlight the need for a drastic shift in how we consider marginalized populations in art—in reimagining both who tells their stories, and what stories are told on their behalf. (shrink)

Humanity may underestimate the rate of natural global catastrophes because of the survival bias (“anthropic shadow”). But the resulting reduction of the Earth’s future habitability duration is not very large in most plausible cases (1-2 orders of magnitude) and thus it looks like we still have at least millions of years. However, anthropic shadow implies anthropic fragility: we are more likely to live in a world where a sterilizing catastrophe is long overdue and could be triggered by unexpectedly small human (...) actions. In the same way, an over-inflated toy balloon, which will soon burst, is very fragile. Anthropic fragility can manifest itself in the higher chances of runaway global warming. It has often been suggested that the Earth's atmosphere remained life-supporting for billions of years by sheer chance. Therefore, the survival bias can be strong. It is also known that Earth-like water worlds could experience transitions into deadly moisture greenhouse (mean T = 65C). This means that relatively small anthropogenic actions could put the climate above an unpredictable tipping point, which could lead to the moisture greenhouse. Thus, it is necessary to carry out urgent geoengineering studies and prepare to prevent an unexpected climate catastrophe. There are three main counterarguments against the existence of the anthropic shadow: self-indication assumption (SIA), past observers and the Gaia hypothesis; we show that they fail. It was proposed that SIA exactly compensates the anthropic shadow as an observer unlikely to find herself in a world with a strong anthropic shadow; however, there is a baseline level of the anthropic shadow for all habitable planets, similar to the rate of evolutionary transitions like abiogenesis. There are no “past observers” as qualified observers appeared only 50 years ago. Gaia hypothesis assumes existence of self-stabilizing feedback in climate, but new types of events like quick CO2 growth could override its coping ability. We present a list of other catastrophes that may have been underestimated because of the anthropic shadow, including collider catastrophes, nuclear war and even an alien invasion. We also hypothesized that human intelligence is more likely to emerge in an unstable world that is nearing its end and thus we get a new form of Doomsday argument. (shrink)

This paper argues that Adam Smith’s attempt to use the pin factory example to illustrate a general phenomenon – the value of the division of labour – seems to depend on an assumption. Put simply, the assumption is that the skills and knowledge involved in one task are not relevant to doing another task, or if they are relevant they would just be developed by specializing in the other task.

Comic immoralism is the view that sometimes funny things are funny due to their having immoral properties of some sort. Immoralism has many proponents and detractors. The purpose of this paper is twofold. First, I clarify the scope and content of comic immoralism as a general thesis in the philosophy of humor. I will argue that the debate about immoralism has unduly excluded certain categories of humor from inclusion, and that the language which immoralists sometimes use can be misleading. Second, (...) I argue for my own version of immoralism, which I call ridicule immoralism. Ridicule immoralism holds that sometimes things are funny due to their being ridiculous, and that things are often ridiculous due to being morally flawed. It follows from this that a version of comic immoralism is true. (shrink)

Agamben is hard to pin down both theologically and philosophically. He attempts to construct miraculous minutiae out of un-miraculous things. Hence this work is the act of profaning the unprofanable. What ontological stature, what imaginative configuration and what spatio-temporal coordinates this move articulates are less than forthcoming. Indeed it is possible that Agamben disavows these entirely in favour of a Benjaminian eternal 'as if' structure, one which sees in the most mundane the traces of an eternal and secular redemption. But (...) this remains problematic; this idiosyncratic moment seems devoid of any real comprehension or description of themes concerning the rest of us mortals, such as temporality, finitude or the spatial and imaginative presentation of that which promises to redeem us. (shrink)

There is a difference between the conditions in which one can felicitously use a ‘must’-claim like and those in which one can use the corresponding claim without the ‘must’, as in 'It must be raining out' versus 'It is raining out. It is difficult to pin down just what this difference amounts to. And it is difficult to account for this difference, since assertions of 'Must p' and assertions of p alone seem to have the same basic goal: namely, communicating (...) that p is true. In this paper I give a new account of the conversational role of ‘must’. I begin by arguing that a ‘must’-claim is felicitous only if there is a shared argument for the proposition it embeds. I then argue that this generalization, which I call Support, can explain the more familiar generalization that ‘must’-claims are felicitous only if the speaker’s evidence for them is in some sense indirect. Finally, I propose a pragmatic derivation of Support as a manner implicature. (shrink)

This paper discusses ethical issues surrounding Integrated Assessment Models (IAMs) of the economic effects of climate change, and how climate economists acting as policy advisors ought to represent the uncertain possibility of catastrophe. Some climate economists, especially Martin Weitzman, have argued for a precautionary approach where avoiding catastrophe should structure climate economists’ welfare analysis. This paper details ethical arguments that justify this approach, showing how Weitzman’s “fat tail” probabilities of climate catastrophe pose ethical problems for widely used IAMs. The main (...) claim is that economists who ignore or downplay catastrophic risks in their representations of uncertainty likely fall afoul of ethical constraints on scientists acting as policy advisors. Such scientists have duties to honestly articulate uncertainties and manage (some) inductive risks, or the risks of being wrong in different ways. (shrink)

The issue of climate change poses an important problem that requires immediate collaboration from everyone, including individuals, governments, and businesses. While consumption culture constitutes a significant proportion of greenhouse gas emissions, most of these emissions are caused by the consumption of the wealthiest. In this article, we will explore the challenges that consumer culture has exacerbated regarding climate change and propose that transitioning to a simpler and more sustainable lifestyle could be an effective solution in the fight against climate change. (...) Such transitions can be leveraged through the inspiration of celebrities (e.g., Keanu Reeves, Chow Yun-fat, Kristen Bell, Leonardo DiCaprio) that pursue simple, non-glamorous lifestyles that do not promote excessive consumerism. (shrink)

Most philosophers of science do philosophy ‘on’ science. By contrast, others do philosophy ‘in’ science (PinS), that is, they use philosophical tools to address scientific problems and to provide scientifically useful proposals. Here, we consider the evidence in favour of a trend of this nature. We proceed in two stages. First, we identify relevant authors and articles empirically with bibliometric tools, given that PinS would be likely to infiltrate science and thus to be published in scientific journals (‘intervention’), cited in (...) scientific journals (‘visibility’), and sometimes recognized as a scientific result by scientists (‘contribution’). We show that many central figures in philosophy of science have been involved in PinS, and that some philosophers have even ‘specialized’ in this practice. Second, we propose a conceptual definition of PinS as a process involving three conditions (raising a scientific problem, using philosophical tools to address it, and making a scientific proposal), and we ask whether the articles identified at the first stage fulfil all these conditions. We show that PinS is a distinctive, quantitatively substantial trend within philosophy of science, demonstrating the existence of a methodological continuity from science to philosophy of science. (shrink)

What’s important about ‘coming out’? Why do we wear business suits or Star Trek pins? Part of the answer, we think, has to do with what we call agential identity. Social metaphysics has given us tools for understanding what it is to be socially positioned as a member of a particular group and what it means to self-identify with a group. But there is little exploration of the general relationship between self-identity and social position. We take up this exploration, developing (...) an account of agential identity—the self-identities we make available to others. Agential identities are the bridge between what we take ourselves to be and what others take us to be. Understanding agential identity not only fills an important gap in the literature, but also helps us explain politically important phenomena concerning discrimination, malicious identities, passing, and code-switching. These phenomena, we argue, cannot be understood solely in terms of self-identity or social position. (shrink)

The distinction between potentiality and possibility in Aristotle’s modal teleology is sometimes conflated by the implicative conjunction that potentiality implies possibility and possibility implies potentiality. In his unpublished doctoral dissertation Richard Rorty warns that trying to pin down Aristotle’s definition of potentiality often leads to treating the term as a “mere façon de parler.” Consonant with Rorty, this paper observes that the definition of possibility in Aristotle’s works is not without its own share of semantic snags. Subsequently, I abide by (...) Rorty’s caveat not only to resist the lure of expressive convenience some commentators have taken in describing potentiality, but also to elucidate possibility’s two-fold field of modal application. Consequently, this paper aims to present a nuanced account of how notions of potentiality and possibility are presented in Aristotle’s treatises for the sake of demonstrating that both sides of the potentiality/possibility conjunction do not mutually imply. (shrink)

Constitutive mechanistic explanations are said to refer to mechanisms that constitute the phenomenon-to-be-explained. The most prominent approach of how to understand this constitution relation is Carl Craver’s mutual manipulability approach to constitutive relevance. Recently, the mutual manipulability approach has come under attack (Leuridan 2012; Baumgartner and Gebharter 2015; Romero 2015; Harinen 2014; Casini and Baumgartner 2016). Roughly, it is argued that this approach is inconsistent because it is spelled out in terms of interventionism (which is an approach to causation), whereas (...) constitutive relevance is said to be a non-causal relation. In this paper, I will discuss a strategy of how to resolve this inconsistency, so-called fat-handedness approaches (Baumgartner and Gebharter 2015; Casini and Baumgartner 2016; Romero 2015). I will argue that these approaches are problematic. I will present a novel suggestion of how to consistently define constitutive relevance in terms of interventionism. My approach is based on a causal interpretation of mutual manipulability, where manipulability is interpreted as a causal relation between the mechanism’s components and temporal parts of the phenomenon. (shrink)

Thinking is overrated: golfers perform best when distracted and under pressure; firefighters make the right calls without a clue as to why; and you are yourself ill advised to look at your steps as you go down the stairs, or to try and remember your pin number before typing it in. Just do it, mindlessly. Both empirical psychologists and the common man have long worked out that thinking is often a bad idea, but philosophers still hang on to an intellectualist (...) picture of human action. This book challenges that picture and calls on philosophers to wake up to the power of mindlessness: it is our habits, skills and conventions that help us cope with a world way too diverse for us to hope to always reinterpret it. The book presents the empirical evidence that has been accumulating over the last few decades and offers a philosophical analysis of mindless phenomena such as habits, skilled activity, automatic actions, emotional and spontaneous reactions and social conventions, arguing that traditional philosophical theories of action should be revised to do justice to this forgotten but important part of our lives: when we act mindlessly, we are free and fully rational even though we neither deliberate nor are aware of what we are doing. (shrink)

In this work we study dimensional theoretical properties of some a±ne dynamical systems. By dimensional theoretical properties we mean Hausdor® dimension and box- counting dimension of invariant sets and ergodic measures on theses sets. Especially we are interested in two problems. First we ask whether the Hausdor® and box- counting dimension of invariant sets coincide. Second we ask whether there exists an ergodic measure of full Hausdor® dimension on these invariant sets. If this is not the case we ask the (...) question, whether at least the variational principle for Haus- dor® dimension holds, which means that there is a sequence of ergodic measures such that their Hausdor® dimension approximates the Hausdor® dimension of the invariant set. It seems to be well accepted by experts that these questions are of great importance in developing a dimension theory of dynamical systems (see the book of Pesin about dimension theory of dynamical systems [PE2]). Dimensional theoretical properties of conformal dynamical systems are fairly well understood today. For example there are general theorems about conformal repellers and hyperbolic sets for conformal di®eomorphisms (see chapter 7 of [PE2]). On the other hand the existence of two di®erent rates of expansion or contraction forces problems that are not captured by a general theory this days. At this stage of de- velopment of the dimension theory of dynamical systems it seems natural to study non conformal examples. This is the ¯rst step to understand the mechanisms that determine dimensional theoretical properties of non conformal dynamical systems. A±ne dynamical systems represent simple examples of non conformal systems. They are easy to de¯ne, but studying their dimensional theoretical properties does never- theless provide challenging mathematical problems and exemplify interesting phe- nomena. We consider here a special class of self-a±ne repellers in dimension two, depending on four parameters (see 2.1.). Furthermore we study a class of attractors of piecewise a±ne maps in dimension three depending on four parameters as well. The last object of our work are projections of these maps that are known as gener- alized Baker's transformations (see 2.2.). The contents of our work is the following: In chapter two we give an overview about some main results in the area of di- mension theory of a±ne dynamical systems and de¯ne the systems we study in this work. We will explain, what is known about the dimensional theoretical properties of these systems and describe what our new results are. In chapter three we then apply symbolic dynamics to our systems. We will introduce explicit shift codings 4 and ¯nd representations of all ergodic measures for our systems using these codings. From chapter four to chapter eight we study dimensional theoretical properties, which our systems generally or generically have. In chapter four we will prove a formula for the box-counting dimension of the repellers and the attractors (see the- orem 4.1.). Then in chapter ¯ve we apply general dimensional theoretical results for ergodic measures found by Ledrappier and Young [LY] and Barreira, Schmeling and Pesin [BPS] to our systems. These results relate the dimension of ergodic measures to metric entropy and Lyapunov exponents. Using this approach we will be able to reduce questions about the dimension of ergodic measures in our context to ques- tions about certain overlapping and especially overlapping self-similar measures on the line. These overlapping self-similar measures are studied in chapter six. Our main theorem extends a result of Peres and Solomyak [PS2] concerning the absolute continuity resp. singularity of symmetric self-similar measures to asymmetric ones (see theorem 6.1.3.). In chapter seven we bring our results together. We prove that we generically (in the sense of Lebesgue measure on a part of the parameter space) have the iden- tity of box-counting and Hausdor® dimension for the repellers and the attractors. (see theorem 7.1.1. and corollary 7.1.2.). This result suggest that one can expect that the identity of box-counting dimension and Hausdor® dimension holds at least generically in some natural classes of non conformal dynamical systems. Furthermore we will see in chapter seven that there generically exists an ergodic measure of full Hausdor® dimension for the repellers. On the other hand the vari- ational principle for Hausdor® dimension is not generic for the attractors. It holds only if we assume a certain symmetry (see theorem 7.1.1.). For generalized Baker's transformations we will ¯nd a part of the parameter space where there generically is an ergodic measure of full dimension and a part where the variational principle for Hausdor® dimension does not hold (see theorem 7.1.3.). Roughly speaking the reason why the variational principle does not hold here is, that if there exists both a stable and an unstable direction one can not generically maximize the dimension in the stable and in the unstable direction at the same time. In an other setting this phenomenon was observed before by Manning and McCluskey [MM]. In chapter eight we extend some results of the last section to invariant sets that correspond to special Markov chains instead of full shifts (see theorem 8.1.1.). In the last two chapters of our work we are interested in number theoretical excep- tions to our generic results. The starting point of our considerations in section nine are results of ErdÄos [ER1] and Alexander and Yorke [AY] that establish singularity and a decrease of dimension for in¯nite convolved Bernoulli measures under special conditions. Using a generalized notion of the Garsia entropy ([GA1/2]) we are able 5 to understand the consequences of number theoretical peculiarities in broader class of overlapping measures (see theorem 9.1.1.). In chapter ten we then analyze number theoretical peculiarities in the context of our dynamical systems. We restrict our attention to a symmetric situation where we generically have the existence of a Bernoulli measure of full dimension and the identity of Hausdor® and box-counting dimension for all of our systems. In the ¯rst section of chapter ten we ¯nd parameter values such that the variational principle for Hausdor® dimension does not hold for the attractors and for the Fat Baker's transformations (see theorem 10.1.1.). These are the ¯rst known examples of dynamical systems for which the variational principle for Hausdor® dimension does not hold because of number theoretical peculiarities of parameter values. For the repellers we have been able to show that under certain number theoretical conditions there is at least no Bernoulli measure of full Hausdor® dimension; the question if the variational principle for Hausdor® dimension holds remains open in this situation. In the second section of chapter ten we will show that the identity for Hausdor® and box-counting dimension can drops because there are number theoretical pecu- liarities. In the context of Weierstrass-like functions this phenomenon was observed by Przytycki and Urbanski [PU]. Our theorem extends this result to a larger class of sets, invariant under dynamical systems (see theorem 10.2.1). At the end of this work the reader will ¯nd two appendices, a list of notations and the list of references. In appendix A we introduce the notions of dimension we use in this work and collect some general facts in dimension theory. In appendix B we state the facts about Pisot-Vijayarghavan number, we need in our analysis of number theoretical peculiarities. The list of notations contains general notations and a table with a summary of notations we use to describe the dynamical systems that we study. Acknowledgments I wish to thank my supervisor JÄorg Schmeling for a lot of valuable discussion and all his help. Also thanks to Luis Barreira for his great hospitality in Lisboa and many interesting comments. This work was done while I was supported by "Promotionstipendium gem. NaFÄoG der Freien UniversitÄat Berlin". (shrink)

We think we have lots of substantial knowledge about the future. But contemporary wisdom has it that indeterminism prevails in such a way that just about any proposition about the future has a non-zero objective chance of being false.2, 3 What should one do about this? One, pessimistic, reaction is scepticism about knowledge of the future. We think this should be something of a last resort, especially since this scepticism is likely to infect alleged knowledge of the present and past. (...) One anti-sceptical strategy is to pin our hopes on determinism, conceding that knowledge of the future is unavailable in an indeterministic world. This is not satisfying either: we would rather not be hostage to empirical fortune in the way that this strategy recommends. A final strategy, one that we shall explore in this paper, is one of reconciliation: knowledge of a proposition is compatible with a subject’s belief having a non-zero objective chance of error.4 Following Williamson, we are interested in tying knowledge to the presence or absence of error in close cases, and so we shall explore the connections between knowledge and objective chance within such a framework. We don’t want to get tangled up here in complications involved in attempting to formulate a necessary and sufficient condition for knowledge in terms of safety. Instead, we will assume the following rough and ready necessary condition: a subject knows P only if she could not easily have falsely believed P.5 Assuming that easiness is to be spelt.. (shrink)

Oppressive ideology regularly misrepresents features of structural injustice as normal or appropriate. Resisting such injustice therefore requires critical examination of the evaluative judgments encoded in shared concepts. In this paper, I diagnose a mechanism of ideological misevaluation, which I call "hermeneutical misfit." Hermeneutical misfit occurs when thick concepts, or concepts which both describe and evaluate, mobilize ideologically warped evaluative judgments which do not fit the facts (e.g. "slutty"). These ill-fitted thick concepts in turn are regularly deployed as if they merely (...) describe--a phenomenon I call "descriptive masquerade." I argue that, via descriptive masquerade, ill-fitted thick concepts smuggle in warped evaluative judgments alongside apparently value-neutral ‘mere facts’, a process which both reinforces those judgments and increases the difficulty of critique. I investigate the concept "obesity" as an example: scientists and medical practitioners will deploy this concept as if it "merely" describes, enabling the smuggling of a host of warped evaluative judgments. I suggest that, to resist this process, we should develop collective consciousness and articulate "meta-hermeneutical resources," or thick concepts which encode critique of other, ill-fitted concepts (e.g. "slut-shaming" or "fat-shaming"). (shrink)

Skeptical worries about moral responsibility seem to be widely appreciated and deeply felt. To address these worries—if nothing else to show that they are mistaken—theories of moral responsibility need to relate to whatever concept of responsibility underlies the worries. Unfortunately, the nature of that concept has proved hard to pin down. Not only do philosophers have conflicting intuitions; numerous recent empirical studies have suggested that both prosaic responsibility judgments and incompatibilist intuitions among the folk are influenced by a number of (...) surprising factors, sometimes prompting apparently contradictory judgments. In this paper, we show how an independently motivated hypothesis about responsibility judgments provides a unified explanation of the more important results from these studies. According to this ‘Explanation Hypothesis’, to take an agent to be morally responsible for an event is to take a relevant motivational structure of the agent to be part of a significant explanation of the event. We argue that because of how explanatory interests and perspectives affect what we take as significant explanations, this analysis accounts for the puzzling variety of empirical results. If this is correct, the Explanation Hypothesis also provides a new way of understanding debates about moral responsibility. (shrink)

Homology is a natural kind concept, but one that has been notoriously elusive to pin down. There has been sustained debate over the nature of correspondence and the units of comparison. But this continued debate over its meaning has focused on defining homology rather than on its use in practice. The aim of this chapter is to concentrate on the practices of homologizing. I define “homologizing” to be a concept-in-use. Practices of homologizing are kinds of rule following, the satisfaction of (...) which demarcates a category—that of being a homologue. Identifying, explaining, discovering, and understanding are exchanges that connect practice to concept through the performance of a rule by practitioners. These practices are constitutive of natural kinding activities. If homologizing is a kind of kinding, consideration of these practices of discovery, tracking, and identification not only clarifies the meaning, use, and progression of the concept of homology, but provides further understanding of the processes and progression of natural kinds and kinding practices in general. (shrink)

Many who suffer from eating disorders claim that they see themselves as “fat”. Despite decades of research into the phenomenon, behavioural evidence has failed to confirm that eating disorders involve visual misperception of own-body size. I illustrate the importance of this phenomenon for our understanding of perceptual processing, outline the challenges involved in experimentally confirming it, and provide solutions to those challenges.

This paper defends the naïve thesis that the method of experiment has per se an epistemic superiority over the method of computer simulation, a view that has been rejected by some philosophers writing about simulation, and whose grounds have been hard to pin down by its defenders. I further argue that this superiority does not come from the experiment’s object being materially similar to the target in the world that the investigator is trying to learn about, as both sides of (...) dispute over the epistemic superiority thesis have assumed. The superiority depends on features of the question and on a property of natural kinds that has been mistaken for material similarity. Seeing this requires holding other things equal in the comparison of the two methods, thereby exposing that, under the conditions that will be specified, the simulation is necessarily epistemically one step behind the corresponding experiment. Practical constraints like feasibility and morality mean that scientists do not often face an other-things- equal comparison when they choose between experiment and simulation. Nevertheless, I argue, awareness of this superiority and of the general distinction between experiment and simulation is important for maintaining motivation to seek answers to new questions. (shrink)

A response to a declaration in 'Le Monde', 'Luttons efficacement contre les théories du complot' by Gérald Bronner, Véronique Campion-Vincent, Sylvain Delouvée, Sebastian Dieguez, Karen Douglas, Nicolas Gauvrit, Anthony Lantian, and Pascal Wagner-Egger, published on June the 6th, 2016.

Gender studies have generated numerous questions regarding the potential of language and the power relations it produces, especially after the philosopher Judith Butler's reinterpretation of Austinian performativity theory. She in fact reinterpreted this theory not only in linguistic terms, but also in relation to the normative power that nails biological fates to anatomical bodies, pinning them into roles and permissions defined by dominant praxis. With the theory of gender performativity, the connection between language, identity and power becomes even clearer and (...) more incisive, seeing hate speech as playing a central role in both the maintenance of praxis and the disciplining of people in accordance with such praxis. Starting from a reflection on the universalization of man through the appropriation of language-logos, the aim of this paper will therefore be to highlight the intricate link between hate speech and hegemonic masculinity. It will then emphasize how the denigrating and punitive functionality of hate speech is central to the reiteration of the subordinating binarism on which patriarchal hegemony is founded. In this way, it will be possible to think of strategies, such as re-signification, that not only disarm the violent potential of hate speech, but also contribute to rewriting the underlying social praxis, producing anti-discriminatory and equalitarian models. (shrink)

The Consequence Argument has elicited various responses, ranging from acceptance as obviously right to rejection as obviously problematic in one way or another. Here we wish to focus on one specific response, according to which the Consequence Argument begs the question. This is a serious accusation that has not yet been adequately rebutted, and we aim to remedy that in what follows. We begin by giving a formulation of the Consequence Argument. We also offer some tentative proposals about the nature (...) of begging the question. Although the charge of begging the question is frequently made in philosophy, it is surprisingly difficult to pin down the precise nature of this dialectical infelicity (or family of such infelicities). Thus we offer some new proposals about the nature of begging the question with an eye to understanding what is going on in central cases in which the charge is legitimately made. We then defend the Consequence Argument against the charge that it begs the question, so construed. We contend that, whatever the other liabilities of the argument may be, it does not beg the question against the compatibilist. (shrink)

The purpose of this study was to compare the nutrient contents and phytochemical composition of the leaves, roots, and stem bark of Cissus populnea. The specimens came from Nsukka in Nigeria's Enugu State. Laboratory experimental design was used for this study. Samples of leaves, roots, and stem barks were prepared by drying them for two hours at 50 0C in a food dehydrator, ground into fine powder and dried again using the air-drying process The analyses were carried out using standard (...) methods. The proximate analyses showed that the samples contain crude protein (1.89 - 2.11%), crude fibre (22.23 - 22.48%), crude fat (1.99 - 2.09%), carbohydrates (43.71 - 64.96%), ash (4.11 - 6.64%) and moisture (4.46- 4.84%). The phytochemical data showed that all plant components contained phenol, alkaloids, tannins, and terpenoids, but not steroids. Both saponin and flavoloid were found in the plant's roots and leaves only. Flavonoid was not detected in the stem. The results of mineral compositions showed that the root, stem, and leaf samples included potassium (340.83 – 439.33 mg/100g) calcium (132.99 – 295.78 mg/100g), iron (1.12 – 4.21 mg/100g), magnesium (27.41- 39.67 mg/100g) and manganese (0.14 – 3.99 mg/100g). Because of its nutrient contents and phytochemical proportions, consumers are encouraged to use any parts, though root parts of the plant seem to contain high nutrient. (shrink)

The task of Philosophy in Science (PinS) is to use philosophical tools to help solve scientific problems. This article describes how I stumbled into this line of work and then addressed several topics in philosophy of biology—units of selection, cladistic parsimony, robustness and trade-offs in model building, adaptationism, and evidence for common ancestry—often in collaboration with scientists. I conclude by offering advice for would-be PinS practitioners.

I argue that one ought not be epistemically akratic. Although this position may look self-evident, it is hard to pin down exactly what’s wrong with the akratic subject. Indeed, some philosophers argue that epistemic akrasia is permissible. The standard anti-akratic response focuses on the weird downstream implications of this state for action and assertion. This approach, however, is unsatisfactory, since it fails to explain the epistemic impermissibility of epistemic akrasia. Here, I argue that epistemic akrasia is impermissible on a purely (...) epistemic basis. Doing so brings out the connection between positive epistemic statuses and truth: it is that connection that explains the fundamental impermissibility of epistemic akrasia. (shrink)

This project focuses on the development of an innovative application that integrates Ayurvedic principles with modern bodybuilding techniques to promote exercise, balanced nutrition, and overall wellness. The primary objective is to combine the ancient Ayurvedic concept of Dhatuposhana Nyaya, which emphasizes nutrient absorption and tissue nourishment to deliver personalized recommendations for diet and workout plans. The methodology involves tracking user data such as body metrics (weight, muscle mass, and fat percentage), daily meals, and supplement intake to offer tailored advice on (...) nutrition and exercise routines. The application also includes features for periodic detox recommendations and supports users in achieving long-term health goals by providing a holistic approach to fitness. Users can engage with the community through forums, and seek expert consultations for further guidance. The key results demonstrate that the application can effectively personalize wellness programs, helping users optimize their physical fitness by blending traditional Ayurvedic principles with modern dietary and exercise practices. The conclusions highlight the successful integration of ancient wisdom with modern fitness science, offering users a practical tool for enhancing their overall health and well-being. (shrink)

Obesity is one of several targets of public health efforts related to availability of and access to healthy foods. The tension between individual food decisions and social contexts of food production, preparation, and consumption makes targeting individuals deeply problematic and yet tempting. Such individualization of responsibility for obesity and nutrition is unethical and impractical. This article warns public health campaigns against giving into the temptation to individualize responsibility, and presents an argument for why they should proceed with all due caution, (...) advising providers and public health organizations to keep in mind structural factors rather than aiming at individuals. (shrink)

Our conscious experience seemingly involves the subjective sense or feeling of the passage of time. However, in recent years, several authors have denied that such an aspect or feature of experience can be found. If the experience of the flow of time exists, it remains elusive and intangible. My aim here is to try to pin it down. For this purpose, I will investigate acute disturbances of normal temporal experience that accompany deep meditative and psychedelic states. I will argue that (...) these experiences of altered temporality provide phenomenal contrast cases to ordinary passage phenomenology, allowing us to establish the existence of the latter and making it amenable to theorizing. (shrink)

There is a difference between the conditions in which one can felicitously assert a ‘must’-claim versus those in which one can use the corresponding non-modal claim. But it is difficult to pin down just what this difference amounts to. And it is even harder to account for this difference, since assertions of 'Must ϕ' and assertions of ϕ alone seem to have the same basic goal: namely, coming to agreement that [[ϕ]] is true. In this paper I take on this (...) puzzle, known as Karttunen’s Problem. I begin by arguing that a ‘must’-claim is felicitous only if there is a shared argument for its prejacent. I then argue that this generalization, which I call Support, can explain the more familiar generalization that ‘must’-claims are felicitous only if the speaker’s evidence for them is in some sense indirect. Finally, I sketch a pragmatic derivation of Support. (shrink)

Assumptions about obesity—e.g., its connection to ill health, its causes, etc.—are still prevalent today, and they make up what I call the medical model of fatness. In this paper, I argue that the medical model was established on the basis of insufficient evidence and has nevertheless continued to be relied upon to justify methodological choices that further entrench the assumptions of the medical model. These choices are illegitimate in so far as they conflict with both the epistemic and social aims (...) of obesity research. I conclude the paper with a partial solution to these epistemic and social shortcomings. (shrink)