It is often assumed that adaptation — a temporary change in sensitivity to a perceptual dimension following exposure to that dimension — is a litmus test for what is and is not a “primary visual attribute”. Thus, papers purporting to find evidence of number adaptation motivate a claim of great philosophical significance: That number is something that can be seen in much the way that canonical visual features, like color, contrast, size, and speed, can. Fifteen years after its reported discovery, (...) number adaptation’s existence seems to be nearly undisputed, with dozens of papers documenting support for the phenomenon. The aim of this paper is to offer a counterweight — to critically assess the evidence for and against number adaptation. After surveying the many reasons for thinking that number adaptation exists, we introduce several lesser-known reasons to be skeptical. We then advance an alternative account — the old news hypothesis — which can accommodate previously published findings while explaining various (otherwise unexplained) anomalies in the existing literature. Next, we describe the results of eight pre-registered experiments which pit our novel old news hypothesis against the received number adaptation hypothesis. Collectively, the results of these experiments undermine the number adaptation hypothesis on several fronts, whilst consistently supporting the old news hypothesis. More broadly our work raises questions about the status of adaptation itself as a means of discerning what is and is not a visual attribute. (shrink)

A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. * The ...

The approximate number system (ANS) enables organisms to represent the approximate number of items in an observed collection, quickly and independently of natural language. Recently, it has been proposed that the ANS goes beyond representing natural numbers by extracting and representing rational numbers (Clarke & Beck, 2021a). Prior work demonstrates that adults and children discriminate ratios in an approximate and ratio-dependent manner, consistent with the hallmarks of the ANS. Here, we use a well-known “connectedness illusion” to provide evidence that these (...) ratio-dependent ratio discriminations are (a) based on the perceived number of items in seen displays (and not just non-numerical confounds), (b) are not dependent on verbal working memory, or explicit counting routines, and (c) involve representations with a part-whole (or subset-superset) format, like a fraction, rather than a part-part format, like a ratio. These results vindicate key predictions of the hypothesis that the ANS represents rational numbers. (shrink)

Visual number adaption is a widely accepted phenomenon. This paper advances an alternative explanation for putative cases of the phenomenon. We propose that such cases may simply reflect observers adapting to the items in perceived displays, rather than their numerical quantity. Three experiments motivate consideration of this novel proposal and call into question the evidential basis for received formulations of the number adaptation hypothesis.

Previous research reported that college students' symbolic addition and subtraction fluency improved after training with non-symbolic, approximate addition and subtraction. These findings were widely interpreted as strong support for the hypothesis that the Approximate Number System (ANS) plays a causal role in symbolic mathematics, and that this relation holds into adulthood. Here we report four experiments that fail to find evidence for this causal relation. Experiment 1 examined whether the approximate arithmetic training effect exists within a shorter training period than (...) originally reported (2 vs 6 days of training). Experiment 2 attempted to replicate and compare the approximate arithmetic training effect to a control training condition matched in working memory load. Experiments 3 and 4 replicated the original approximate arithmetic training experiments with a larger sample size. Across all four experiments (N = 318) approximate arithmetic training was no more effective at improving the arithmetic fluency of adults than training with control tasks. Results call into question any causal relationship between approximate, non-symbolic arithmetic and precise symbolic arithmetic. (shrink)

The phenomenon of ambiguity aversion, in which risky gambles with known probabilities are preferred over ambiguous gambles with unknown probabilities, has been thoroughly documented in adults but never measured in children. Here, we use two distinct tasks to investigate ambiguity preferences of children (8- to 9-year-olds) and a comparison group of adults (19- to 27-year-olds). Across three separate measures, we found evidence for significant ambiguity aversion in adults but not in children and for greater ambiguity aversion in adults compared to (...) children. As ambiguity aversion in adults has been theorized to result from a preference to bet on the known and avoid the unfamiliar, we separately measured familiarity bias and found that children, like adults, are biased towards the familiar. Our findings indicate that ambiguity aversion emerges across the course of development between childhood and adolescence, while a familiarity bias is already present in childhood. (shrink)

Children bring intuitive arithmetic knowledge to the classroom before formal instruction in mathematics begins. For example, children can use their number sense to add, subtract, compare ratios, and even perform scaling operations that increase or decrease a set of dots by a factor of 2 or 4. However, it is currently unknown whether children can engage in a true division operation before formal mathematical instruction. Here we examined the ability of 6- to 9-year-old children and college students to perform symbolic (...) and non-symbolic approximate division. Subjects were presented with non-symbolic or symbolic dividends ranging from 32 to 185, and non-symbolic divisors ranging from 2 to 8. Subjects compared their imagined quotient to a visible target quantity. Both children and adults were successful at the approximate division tasks in both dots and numeral formats. This was true even among the subset of children that could not recognize the division symbol or solve simple division equations, suggesting intuitive division ability precedes formal division instruction. For both children and adults, the ability to divide non-symbolically mediated the relation between Approximate Number System acuity and symbolic math performance, suggesting that the ability to calculate non-symbolically may be a mechanism of the relation between ANS acuity and symbolic math. Our findings highlight the intuitive arithmetic abilities children possess before formal math instruction. (shrink)

The dual-code proposal of number representation put forward by Cohen Kadosh & Walsh (CK&W) accounts for only a fraction of the many modes of numerical abstraction. Contrary to their proposal, robust data from human infants and nonhuman animals indicate that abstract numerical representations are psychologically primitive. Additionally, much of the behavioral and neural data cited to support CK&W's proposal is, in fact, neutral on the issue of numerical abstraction.

Let NNG be the claim that necessitation is necessary for grounding, and let NSG be the claim that necessitation is sufficient for grounding. The consensus view is that grounding cannot be reduced to necessitation, and this is due to the (approximately) universally-accepted claim that NSG is false. Among deniers of NSG: grounding contingentists think NNG is also false, but they are in the minority compared to grounding necessitarians who uphold NNG. For one who would defend the claim that grounding is (...) reducible to necessitation, the task is formidable: she must defend NSG and NNG. I consider two prominent objections against NSG, and two more against NNG before developing a reductive account of grounding as minimal necessitation that avoids not only all four of the previously mentioned objections, but also an additional objection that targets minimal necessitation accounts in particular. If my arguments are compelling, then, insofar as we thereby have a strong prima facie case for thinking that grounding can be reduced to (minimal) necessitation, we have a strong prima facie case for thinking the consensus view is mistaken. (shrink)

If _presentism_ is true, then no wholly non-present events exist. If _absence orthodoxy_ is true, then no absences exist. I discuss a well-known causal argument against presentism, and develop a very similar argument against absence orthodoxy. I argue that solutions to the argument against absence orthodoxy can be adopted by the presentist as solutions to the argument against presentism. The upshot is that if the argument against absence orthodoxy fails, then so does the argument against presentism.

This article examines the Radio Islam controversy of 1997, in which a South African Muslim radio station, affiliated with the conservative Deobandi organization Jamiatul Ulama, forbade women’s voices on its airwaves, citing the notion that women’s voices in this context were `awrah, and thus should not be heard on the radio. It locates this event and the legal, ethical and theological debates that ensued within the context of emergent post-apartheid constitutional discourses on gender and religious freedom, and post-apartheid religious media. (...) The article then situates these debates against the nature of ‘public’ religion during and after apartheid. It concludes by suggesting the Radio Islam case is a particularly salient example of the porousness of the ‘secular’ and ‘post-secular’ in a specific constitutional and legal arrangement. (shrink)

According to the presentist, it is always the case that the only existing objects are those that exist at the present time, and the only properties and relations that are instantiated are those that are instantiated at the present time. The truth-supervenes-on-being thesis (TSB) is that there can be no difference in what is true without a corresponding difference in what exists and in what properties and relations are instantiated. The truth-supervenes-on-being objection says that presentism cannot accommodate TSB. Lucretianism is (...) the thesis that the world instantiates irreducibly past-tensed properties. Though not popular, it is not entirely uncommon for presentists to endorse Lucretianism as a means to respond to the truth-supervenes-on-being objection. Defenses of Lucretianism itself are still less common. Appropriately up-to-date defenses are lacking altogether. I take up such a defense, arguing that the attacks on Lucretianism fail, and that there is, therefore, no compelling truth-supervenes-on-being objection to presentism. (shrink)

Where the Two Seas Meet: The Qurʾānic Story of al-Khiḍr and Moses in Sufi Commentaries as a Model of Spiritual Guidance. By Hugh Talat Halman. Louisville, KY: Fons Vitae, 2013. Pp. xxi + 319. $29.95.

Disability is primarily a social phenomenon -- a way of being a minority, a way of facing social oppression, but not a way of being inherently or intrinsically worse off. This is how disability is understood in the Disability Rights and Disability Pride movements; but there is a massive disconnect with the way disability is typically viewed within analytic philosophy. The idea that disability is not inherently bad or sub-optimal is one that many philosophers treat with open skepticism, and sometimes (...) even with scorn. The goal of this book is to articulate and defend a version of the view of disability that is common in the Disability Rights movement. To be physically disabled is not to have a defective body, but simply to have a minority body. (shrink)

Philosophical theories of gender are typically understood as theories of what it is to be a woman, a man, a nonbinary person, and so on. In this paper, I argue that this is a mistake. There’s good reason to suppose that our best philosophical theory of gender might not directly match up to or give the extensions of ordinary gender categories like ‘woman’.

Monistic grounding says that there is one fundamental ground, while pluralistic grounding says that there are many such grounds. Grounding necessitarianism says that grounding entails, but is not reducible to, necessitation, while grounding contingentism says that there are at least some cases where grounding does not entail necessitation. Pluralistic grounding necessitarianism is a very popular position, but accidental generalizations, such as ‘all solid gold spheres are less than one mile in diameter’, pose well-known problems for this view: the many fundamental (...) grounds of such generalizations do not necessitate them. Though there is a straightforward response to this objection, I argue that it fails. Thus the objection from accidental generalizations stands, and proponents of pluralistic grounding necessitarianism face the following dilemma: either give up pluralistic grounding, or give up necessitarianism. (shrink)

More than forty years have passed since Congress, in response to the Civil Rights Movement, enacted sweeping antidiscrimination laws in the Civil Rights Act of 1964, the Voting Rights Act of 1965, and the Fair Housing Act of 1968. As a signal achievement of that legacy, in 2008, Americans elected their first African American president. Some would argue that we have finally arrived at a postracial America, butThe Imperative of Integration indicates otherwise. Elizabeth Anderson demonstrates that, despite progress toward (...) racial equality, African Americans remain disadvantaged on virtually all measures of well-being. Segregation remains a key cause of these problems, and Anderson skillfully shows why racial integration is needed to address these issues. Weaving together extensive social science findings--in economics, sociology, and psychology--with political theory, this book provides a compelling argument for reviving the ideal of racial integration to overcome injustice and inequality, and to build a better democracy. -/- Considering the effects of segregation and integration across multiple social arenas, Anderson exposes the deficiencies of racial views on both the right and the left. She reveals the limitations of conservative explanations for black disadvantage in terms of cultural pathology within the black community and explains why color blindness is morally misguided. Multicultural celebrations of group differences are also not enough to solve our racial problems. Anderson provides a distinctive rationale for affirmative action as a tool for promoting integration, and explores how integration can be practiced beyond affirmative action. -/- Offering an expansive model for practicing political philosophy in close collaboration with the social sciences, this book is a trenchant examination of how racial integration can lead to a more robust and responsive democracy. (shrink)

Metaphysical orthodoxy maintains that the relation of ontological dependence is irreflexive, asymmetric, and transitive. The goal of this paper is to challenge that orthodoxy by arguing that ontological dependence should be understood as non- symmetric, rather than asymmetric. If we give up the asymmetry of dependence, interesting things follow for what we can say about metaphysical explanation— particularly for the prospects of explanatory holism.

ABSTRACT Let wF, wC+, and wC− be three distinct worlds, each of which contains only a single point-sized material particle, and in each of which spacetime is: uniformly flat, constantly positively curved, and constantly negatively curved, respectively. By the relationist’s lights, these worlds seem to be qualitatively identical. Nevertheless, for each world, there are propositions concerning possible arrangements of material points that are true in that world, but false in the other two. I argue that, surprisingly, the relationist can ground (...) these differences in the distinct non-modal and intrinsic relations that are instantiated in each of wF, wC+, and wC–. (shrink)

Darwinian matters : life, force and change -- Biological difference -- The evolution of sex and race -- Nietzsche's Darwin -- History and the untimely -- The eternal return and the overman -- Bergsonian differences -- The philosophy of life -- Intuition and the virtual -- The future.

Let wF, wC+, and wC– be three distinct worlds, each of which contains only a single point-sized material particle, and in each of which spacetime is: uniformly flat, constantly positively curved, and constantly negatively curved, respectively. By the relationist’s lights, these worlds seem to be qualitatively identical. Nevertheless, for each world, there are propositions concerning possible arrangements of material points that are true in that world, but false in the other two. I argue that, surprisingly, the relationist can ground these (...) differences in the distinct non-modal and intrinsic relations that are instantiated in each of wF, wC+, and wC–. (shrink)