Representationalism is the position that the phenomenal character of a perceptual experience supervenes upon its representational content. The phenomenon of blurry vision is thought to raise a difficulty for this position. More specifically, it is alleged that representationalists cannot account for the phenomenal difference between clearly seeing an indistinct edge and blurrily seeing a distinct edge solely in terms of represented features of the surrounding environment. I defend representationalism from this objection by offering a novel account of the phenomenal difference (...) between these two kinds of cases. (shrink)

Environmental representationalism is the position that phenomenal differences between visual experiences are determined by the representational claims those experiences make about the surrounding environment. Afterimage and phosphene experiences are an important and widely cited objection to this position. In this paper, I defend environmental representationalism from this objection. In particular, I point out several ways in which typical environmental representationalist accounts of these experiences are lacking while developing a more satisfying account which focuses on how the visual system generates its (...) representations as well as on several of the unique temporally-extended features of afterimage/phosphene experiences. (shrink)

According to memory foundationalism, seeming to remember that P is prima facie justification for believing that P. There is a common objection to this theory: If I previously believed that P carelessly (i.e. without justification) and later seem to remember that P, then (according to memory foundationalism) I have somehow acquired justification for a previously unjustified belief. In this paper, I explore this objection. I begin by distinguishing between two versions of it: One where I seem to remember that P (...) while also seeming to remember being careless in my original believing that P and the other where I seem to remember that P while not seeming to remember my past carelessness. I argue that the former case is the real challenge for memory foundationalism. After establishing the case of unforgotten carelessness as objection to memory foundationalism, I recast memory foundationalism in way that allows it to escape this objection. (shrink)

It is widely thought that functionalism and the qualia theory are better positioned to accommodate the ‘affective’ aspect of pain phenomenology than representationalism. In this paper, we attempt to overturn this opinion by raising problems for both functionalism and the qualia theory on this score. With regard to functionalism, we argue that it gets the order of explanation wrong: pain experience gives rise to the effects it does because it hurts, and not the other way around. With regard to the (...) qualia theory, we argue that it fails to capture the sense in which pain 's affective phenomenology rationalises various bodily-directed beliefs, desires, and behaviours. Representationalism, in contrast, escapes both of these problems: it gets the order of explanation right and it explains how pain 's affective phenomenology can rationalise bodily-directed beliefs, desires, and behaviours. For this reason, we argue that representationalism has a significant advantage in the debates about pain 's affective phenomenology. We end the paper by examining objections, including the question of what representationalists should say about so-called ‘disassociation cases’, such as pain asymbolia. (shrink)

I show that the recent account of levels in neuroscience proposed by Craver and Bechtel is unsatisfactory since it fails to provide a plausible criterion for being at the same level and is incompatible with Craver and Bechtel’s account of downward causation. Furthermore, I argue that no distinct notion of levels is needed for analyzing explanations and causal issues in neuroscience: it is better to rely on more well-defined notions such as composition and scale. One outcome of this is that (...) apparent cases of downward causation can be analyzed away. (shrink)

Existentialist accounts maintain that visual phenomenal content takes the logical form of an existentially quantified sentence. These accounts do not make phenomenal content specific enough. Singularist accounts posit a singular content in which the seen object is a constituent. These accounts make phenomenal content too specific. My account gets the specificity of visual phenomenal content just right. My account begins with John Searle's suggestion that visual experience represents an object as seen, moves this relation outside the scope of the existential (...) quantifier and then replaces it with the relation of objects being ‘present as accessible’, as described by Alva Noë. (shrink)

To put it bluntly, Physicalism is the thesis that everything that exists is physical. Although Physicalism enjoys a great deal of popularity, two widely accepted theses, the physical sciences only tell us about the dispositional properties of the objects they study, and dispositional properties depend upon categorical properties, seem to guarantee that, under some sense of the word, the physical sciences are fated to give us an "incomplete" picture of what exists.In what follows, this challenge to Physicalism will be referred (...) to as "the challenge of categorical properties.". (shrink)

A popular “Reductionist” account of personal identity unifies person stages into persons in virtue of their psychological continuity with one another. One objection to psychological continuity accounts is that there is more to our personal identity than just mere psychological continuity: there is also an active process of self-interpretation and self-creation. This criticism can be used to motivate a rival account of personal identity that appeals to the notion of a narrative. To the extent that they comment upon the issue, (...) proponents of narrative accounts typically reject Reductionist metaphysics that (ontologically) reduce persons to aggregates of person stages. In contrast to this trend, we seek to develop a narrative account of personal identity from within Reductionist metaphysics: we think person stages are unified into persons in virtue of their narrative continuity with one another. We argue that this Reductionist version of the narrative account avoids some serious problems facing non-Reductionist versions of the narrative account. (shrink)

In this paper, I explore and defend the idea that we have epistemic responsibilities with respect to our visual searches, responsibilities that are far more fine-grained and interesting than the trivial responsibilities to keep our eyes open and “look hard”. In order to have such responsibilities, we must be able to exert fine-grained and interesting forms of control over our visual searches. I present both an intuitive case and an empirical case for thinking that we do, in fact, have such (...) forms of control over our visual searches. I then show how these forms of control can be used to aim the visual beliefs that result from our searches towards various epistemic goals. (shrink)

This essay explores challenges that arise for professors who teach critical theory in our current climate of conservatism. Specifically, it is argued that the conservative commitments to non-revolutionary change and reverence for tradition are corrupted in our current political and intellectual climate. This corruption, called “ideological imperviousness,” undermines the institutional structures put in place to produce a functional educational environment that protects the interests of both professors and students. The result is an environment that imposes an unjust vulnerability on professors (...) and risks depriving students of the opportunity to acquire the critical skills necessary to combat their own vulnerabilities. (shrink)

I develop a new theory of properties by considering two central arguments in the debate whether properties are dispositional or categorical. The first claims that objects must possess categorical properties in order to be distinct from empty space. The second argument, however, points out several untoward consequences of positing categorical properties. I explore these arguments and argue that despite appearances, their conclusions need not be in conflict with one another. In particular, we can view the second argument as supporting only (...) the claim that there is not a plurality of categorical properties, and not the stronger claim that there are no categorical properties whatsoever. I then develop a new account of properties which capitalizes on this insight. (shrink)

There is an expansion of empirical research that at its core is an attempt to quantify the "feely" aspects of living in raced (and other stigmatized) bodies. This research is offered as part concession, part insistence on the reality of the "special" circumstances of living in raced bodies. While this move has the potential of making headway in debates about the character of racism and the unique nature of the harms of contemporary racism--through an analysis of stereotype threat research, microaggression (...) research, and the reception of both discourses--I will argue that this scientization of the phenomenology of race and racism also stalls progress on the most significant challenges for the current conversation about race and racism: how to listen and how to be heard. (shrink)

In seeing a tilted penny, we are experientially aware of both its circularity and another shape, which I dub ‘β‐ellipticality’. Some claim that our experiential awareness of the intrinsic shapes/sizes of everyday objects depends upon our experiential awareness of β‐shapes/β‐sizes. In contrast, I maintain that β‐property experiences are the result of what Richard Wollheim calls ‘seeing‐in’, but run in reverse: instead of seeing a three‐dimensional object in a flat surface, we see a flat surface in a three‐dimensional object. Using this (...) new account, I re‐examine the phenomenological directness of visual experience and undermine an argument for skepticism about β‐property experiences. (shrink)

The idea of levels of organization plays a central role in the philosophy of the life sciences. In this article, I first examine the explanatory goals that have motivated accounts of levels of organization. I then show that the most state-of-the-art and scientifically plausible account of levels of organization, the account of levels of mechanism proposed by Bechtel and Craver, is fundamentally problematic. Finally, I argue that the explanatory goals can be reached by adopting a deflationary approach, where levels of (...) organization give way to more well-defined and fundamental notions, such as scale and composition. (shrink)

This paper combines two ideas: (1) That the Lewisian best system analysis of lawhood (BSA) can cope with laws that have exceptions (cf. Braddon-Mitchell in Noûs 35(2):260–277, 2001; Schrenk in The metaphysics of ceteris paribus laws. Ontos, Frankfurt, 2007). (2) That a BSA can be executed not only on the mosaic of perfectly natural properties but also on any set of special science properties (cf., inter alia, Schrenk 2007, Selected papers contributed to the sections of GAP.6, 6th international congress of (...) the society for analytical philosophy. Mentis, Paderborn/Münster, 2008; Cohen and Callender in Philos Stud 145:1–34, 2009, Erkenntnis 73:427–447, 2010). Bringing together (1) and (2) results in an analysis of special science ceteris paribus laws. (shrink)

In this paper I develop a philosophical account of actual mathematical infinity that does not demand ontologically or epistemologically problematic assumptions. The account is based on a simple metaphor in which we think of indefinitely continuing processes as defining objects. It is shown that such a metaphor is valid in terms of mathematical practice, as well as in line with empirical data on arithmetical cognition.

Robustness is often presented as a guideline for distinguishing the true or real from mere appearances or artifacts. Most of recent discussions of robustness have focused on the kind of derivational robustness analysis introduced by Levins, while the related but distinct idea of robustness as multiple accessibility, defended by Wimsatt, has received less attention. In this paper, I argue that the latter kind of robustness, when properly understood, can provide justification for ontological commitments. The idea is that we are justified (...) in believing that things studied by science are real insofar as we have robust evidence for them. I develop and analyze this idea in detail, and based on concrete examples show that it plays an important role in science. Finally, I demonstrate how robustness can be used to clarify the debate on scientific realism and to formulate new arguments. (shrink)

Both visual experience and conscious thought represent external objects, but in visual experience these objects seem present before the mind and available for direct access in a way that they don’t in conscious thought. In this paper, I introduce a couple of challenges that this “Scene-Immediacy” of visual experience raises for traditional versions of Representationalism. I then identify a resource to which Representationalists can appeal in addressing these challenges: the low-detail fringe of visual experience. I argue that low-detail contents within (...) visual experience provide the mind with a rich access to additional high-detail information, an access that is not found in conscious thought. This access, in turn, speaks to the challenges raised by the Scene-Immediacy of visual experience. Robert Schroer is an Assistant Professor at the University of Minnesota at Duluth. (shrink)

Previous research in Explainable Artificial Intelligence (XAI) suggests that a main aim of explainability approaches is to satisfy specific interests, goals, expectations, needs, and demands regarding artificial systems (we call these “stakeholders' desiderata”) in a variety of contexts. However, the literature on XAI is vast, spreads out across multiple largely disconnected disciplines, and it often remains unclear how explainability approaches are supposed to achieve the goal of satisfying stakeholders' desiderata. This paper discusses the main classes of stakeholders calling for explainability (...) of artificial systems and reviews their desiderata. We provide a model that explicitly spells out the main concepts and relations necessary to consider and investigate when evaluating, adjusting, choosing, and developing explainability approaches that aim to satisfy stakeholders' desiderata. This model can serve researchers from the variety of different disciplines involved in XAI as a common ground. It emphasizes where there is interdisciplinary potential in the evaluation and the development of explainability approaches. (shrink)

Moral philosophers and psychologists often assume that people judge morally lucky and morally unlucky agents differently, an assumption that stands at the heart of the Puzzle of Moral Luck. We examine whether the asymmetry is found for reflective intuitions regarding wrongness, blame, permissibility, and punishment judg- ments, whether people’s concrete, case-based judgments align with their explicit, abstract principles regarding moral luck, and what psychological mechanisms might drive the effect. Our experiments produce three findings: First, in within-subjects experiments favorable to reflective (...) deliberation, the vast majority of people judge a lucky and an unlucky agent as equally blameworthy, and their actions as equally wrong and permissible. The philosophical Puzzle of Moral Luck, and the challenge to the very possibility of systematic ethics it is frequently taken to engender, thus simply do not arise. Second, punishment judgments are significantly more outcome- dependent than wrongness, blame, and permissibility judgments. While this constitutes evidence in favor of current Dual Process Theories of moral judgment, the latter need to be qualified: punishment and blame judgments do not seem to be driven by the same process, as is commonly argued in the literature. Third, in between-subjects experiments, outcome has an effect on all four types of moral judgments. This effect is mediated by negligence ascriptions and can ultimately be explained as due to differing probability ascriptions across cases. (shrink)

The special and unique attitudes that we take towards events in our futures/pasts—e.g., attitudes like the dread of an impeding pain—create a challenge for “Reductionist” accounts that reduce persons to aggregates of interconnected person stages: if the person stage currently dreading tomorrow’s pain is numerically distinct from the person stage that will actually suffer the pain, what reason could the current person stage have for thinking of that future pain as being his? One reason everyday subjects believe they have a (...) substantially extended temporal existence stems from introspection—they introspectively experience their selves as being temporally extended. In this paper, I examine whether a Reductionist about personal identity can co-opt this explanation. Using Galen Strawson’s recent work on self-experience as a resource, I reach both a negative and a positive conclusion about the prospects of such a position. First, the relevant kind of self-experience—i.e., the introspective experience of one’s self as being a substantially temporally extended entity—will not automatically arise within a person stage simply in virtue of that stage being psychologically connected to/continuous with other person stages. Second, the relevant kind of self-experience will arise, however, in virtue of person stages weaving together their respective experiences, actions, etc. via a narrative. This positive conclusion points towards a new Reductionist position that focuses upon a narrative, and not mere psychological continuity, in attempting to justify the special attitudes we take towards events in our futures/pasts. (shrink)

The relationship between psychological states and the brain remains an unresolved issue in philosophy of psychology. One appealing solution that has been influential both in science and in philosophy is Dennett’s concept of the intentional stance, according to which beliefs and desires are real and objective phenomena, but not necessarily states of the brain. A fundamental shortcoming of this approach is that it does not seem to leave any causal role for beliefs and desires in influencing behavior. In this paper, (...) I show that intentional states ascribed from the intentional stance should be seen as real causes, develop this to an independently plausible ontological position, and present a response to the latest interventionist causal exclusion worries. (shrink)

The causal theory of action has been the standard view in the philosophy of action and mind. In this chapter, I will present responses to two challenges to the theory. The first says, basically, that there is no positive argument in favour of the causal theory, as the only reason that supports it consists in the apparent lack of tenable alternatives. The second challenge says that the theory fails to capture the phenomenon of agency, as it reduces activity to mere (...) happenings (events and event-causal processes). This is often referred to as the problem of "disappearing agency". My main aim is to show that there is no problem of disappearing agency, and we will see that my response to the first challenge will be conducive to this end. I will present a positive argument for the causal theory on the basis of considerations concerning the metaphysics of agency, and I will suggest that we "own" the agency that springs from our mental states and events "by default". (shrink)

Computer assisted theorem proving is an increasingly important part of mathematical methodology, as well as a long-standing topic in artificial intelligence (AI) research. However, the current generation of theorem proving software have limited functioning in terms of providing new proofs. Importantly, they are not able to discriminate interesting theorems and proofs from trivial ones. In order for computers to develop further in theorem proving, there would need to be a radical change in how the software functions. Recently, machine learning results (...) in solving mathematical tasks have shown early promise that deep artificial neural networks could learn symbolic mathematical processing. In this paper, I analyze the theoretical prospects of such neural networks in proving mathematical theorems. In particular, I focus on the question how such AI systems could be incorporated in practice to theorem proving and what consequences that could have. In the most optimistic scenario, this includes the possibility of autonomous automated theorem provers (AATP). Here I discuss whether such AI systems could, or should, become accepted as active agents in mathematical communities. (shrink)

One critique of experimental philosophy is that the intuitions of the philosophically untutored should be accorded little to no weight; instead, only the intuitions of professional philosophers should matter. In response to this critique, “experimentalists” often claim that the intuitions of professional philosophers are biased. In this paper, we explore this question of whose intuitions should be disqualified and why. Much of the literature on this issue focuses on the question of whether the intuitions of professional philosophers are reliable. In (...) contrast, we instead focus on the idea of “muddled” intuitions—i.e. intuitions that are misdirected and about notions other than the ones under discussion. We argue that the philosophically untutored are likely to have muddled intuitions and that professional philosophers are likely to have unmuddled intuitions. Although being umuddled does not, by itself, establish the reliability of the intuitions of professional philosophers, being muddled is enough to disqualify the intuitions of the philosophically untutored. We then turn to the charge that, despite being unmuddled, professional philosophers still have biased intuitions. To evaluate this charge, we switch focus from the general notion of biased intuition to the more specific notion of theory-laden intuition. We argue that there is prima facie evidence—in the form of the presence of conflicts of intuition—for thinking that at least some of the intuitions of professional philosophers are theory-laden. In summary, we conclude that that there is no clean and easy answer to the question of whose intuitions should matter. (shrink)

The basic human ability to treat quantitative information can be divided into two parts. With proto-arithmetical ability, based on the core cognitive abilities for subitizing and estimation, numerosities can be treated in a limited and/or approximate manner. With arithmetical ability, numerosities are processed (counted, operated on) systematically in a discrete, linear, and unbounded manner. In this paper, I study the theory of enculturation as presented by Menary (2015) as a possible explanation of how we make the move from the proto-arithmetical (...) ability to arithmetic proper. I argue that enculturation based on neural reuse provides a theoretically sound and fruitful framework for explaining this development. However, I show that a comprehensive explanation must be based on valid theoretical distinctions and involve several stages in the development of arithmetical knowledge. I provide an account that meets these challenges and thus leads to a better understanding of the subject of enculturation. (shrink)

According to contextualism, the extension of claims of personal taste is dependent on the context of utterance. According to truth relativism, their extension depends on the context of assessment. On this view, when the taste preferences of a speaker change, so does the truth value of a previously uttered taste claim, and the speaker might be required to retract it. Both views make strong empirical assumptions, which are here put to the test in three experiments with over 740 participants. It (...) turns out that the linguistic behaviour of ordinary English speakers is consistent with contextualist predictions and inconsistent with the predictions of the most widely discussed form of truth relativism advocated by John MacFarlane. (shrink)

In a series of ten preregistered experiments (N=2043), we investigate the effect of outcome valence on judgments of probability, negligence, and culpability – a phenomenon sometimes labelled moral (and legal) luck. We found that harmful outcomes, when contrasted with neutral outcomes, lead to increased perceived probability of harm ex post, and consequently to increased attribution of negligence and culpability. Rather than simply postulating a hindsight bias (as is common), we employ a variety of empirical means to demonstrate that the outcome-driven (...) asymmetry across perceived probabilities constitutes a systematic cognitive distortion. We then explore three distinct strategies to alleviate the hindsight bias and its downstream effects on mens rea and culpability ascriptions. Not all are successful, but at least some prove promising. They should, we argue, be taken into consideration in criminal jurisprudence, where distortions due to the hindsight bias are likely considerable and deeply disconcerting. (shrink)

Like all causal theories in philosophy, the causal theory of action is plagued by the problem of deviant causal chains. I have proposed a solution on the basis of the assumption that mental states and events are causally efficacious in virtue of their contents. This solution has been questioned by Torbjörn Tännsjö (2009). First, I will reply to the objection, and then I will discuss Tännsjö’s alternative.

Benjamin Libet's empirical challenge to free will has received a great deal of attention and criticism. A standard line of response has emerged that many take to be decisive against Libet's challenge. In the first part of this paper, I will argue that this standard response fails to put the challenge to rest. It fails, in particular, to address a recent follow-up experiment that raises a similar worry about free will (Soon, Brass, Heinze, & Haynes, 2008). In the second part, (...) however, I will argue that we can altogether avoid Libet-style challenges if we adopt a traditional compatibilist account of free will. In the final section, I will briefly explain why there is good and independent reason to think about free will in this way. (shrink)

Recent years have seen an explosion of empirical data concerning arithmetical cognition. In this paper that data is taken to be philosophically important and an outline for an empirically feasible epistemological theory of arithmetic is presented. The epistemological theory is based on the empirically well-supported hypothesis that our arithmetical ability is built on a protoarithmetical ability to categorize observations in terms of quantities that we have already as infants and share with many nonhuman animals. It is argued here that arithmetical (...) knowledge developed in such a way cannot be totally conceptual in the sense relevant to the philosophy of arithmetic, but neither can arithmetic understood to be empirical. Rather, we need to develop a contextual a priori notion of arithmetical knowledge that preserves the special mathematical characteristics without ignoring the roots of arithmetical cognition. Such a contextual a priori theory is shown not to require any ontologically problematic assumptions, in addition to fitting well within a standard framework of general epistemology. (shrink)

This chapter sheds light on a response to experimental philosophy that has not yet received enough attention: the reflection defense. According to proponents of this defense, judgments about philosophical cases are relevant only when they are the product of careful, nuanced, and conceptually rigorous reflection. The chapter argues that the reflection defense is misguided: Five studies (N>1800) are presented, showing that people make the same judgments when they are primed to engage in careful reflection as they do in the conditions (...) standardly used by experimental philosophers. (shrink)

In this paper we discuss a phenomenon we call perspectival plurality, which has gone largely unnoticed in the current debate between relativism and contextualism about predicates of personal taste. According to perspectival plurality, the truth value of a sentence containing more than one PPT may depend on more than one perspective. Prima facie, the phenomenon engenders a problem for relativism and can be shaped into an argument in favor of contextualism. We explore the consequences of perspectival plurality in depth and (...) assess several possible responses on behalf of advocates of relativism. (shrink)

The recent controversy about misinformation has moved a question into the focus of the public eye that has occupied philosophers for decades: Under what conditions is it appropriate to assert a certain claim? When asserting a claim that x, must one know that x? Must x be true? Might it be normatively acceptable to assert whatever one believes? In the largest cross-cultural study to date (total n = 1,091) on the topic, findings from the United States, Germany, and Japan suggest (...) that, in order to claim that x, x need not be known, and it can be false. However, the data show, we do expect considerable epistemic responsibility on the speaker’s behalf: In order to appropriately assert a claim, the speaker must have good reasons to believe it. (shrink)

Assertions are speech acts by means of which we express beliefs. As such they are at the heart of our linguistic and social practices. Recent research has focused extensively on the question whether the speech act of assertion is governed by norms, and if so, under what conditions it is acceptable to make an assertion. Standard theories propose, for instance, that one should only assert that p if one knows that p (the knowledge account), or that one should only assert (...) that p if p is true (the truth account). In a series of four experiments, this question is addressed empirically. Contrary to previous findings, knowledge turns out to be a poor predictor of assertability, and the norm of assertion is not factive either. The studies here presented provide empirical evidence in favour of the view that a speaker is warranted to assert that p only if her belief that p is justified. (shrink)

In this paper I study the development of arithmetical cognition with the focus on metaphorical thinking. In an approach developing on Lakoff and Núñez, I propose one particular conceptual metaphor, the Process → Object Metaphor, as a key element in understanding the development of mathematical thinking.

In computational complexity theory, decision problems are divided into complexity classes based on the amount of computational resources it takes for algorithms to solve them. In theoretical computer science, it is commonly accepted that only functions for solving problems in the complexity class P, solvable by a deterministic Turing machine in polynomial time, are considered to be tractable. In cognitive science and philosophy, this tractability result has been used to argue that only functions in P can feasibly work as computational (...) models of human cognitive capacities. One interesting area of computational complexity theory is descriptive complexity, which connects the expressive strength of systems of logic with the computational complexity classes. In descriptive complexity theory, it is established that only first-order (classical) systems are connected to P, or one of its subclasses. Consequently, second-order systems of logic are considered to be computationally intractable, and may therefore seem to be unfit to model human cognitive capacities. This would be problematic when we think of the role of logic as the foundations of mathematics. In order to express many important mathematical concepts and systematically prove theorems involving them, we need to have a system of logic stronger than classical first-order logic. But if such a system is considered to be intractable, it means that the logical foundation of mathematics can be prohibitively complex for human cognition. In this paper I will argue, however, that this problem is the result of an unjustified direct use of computational complexity classes in cognitive modelling. Placing my account in the recent literature on the topic, I argue that the problem can be solved by considering computational complexity for humanly relevant problem solving algorithms and input sizes. (shrink)

In this paper, I study the kind of questions we can ask about the existence of numbers. In addition to asking whether numbers exist, and how, I argue that there is also a third relevant question: why numbers exist. In platonist and nominalist accounts this question may not make sense, but in the psychologist account I develop, it is as well-placed as the other two questions. In fact, there are two such why-questions: the causal why-question asks what causes numbers to (...) exist and the teleological why-question asks for what purpose numbers exist. I argue that in a psychologist constructivist account, in which numbers are understood to exist as referents of a particular type of culturally shared concepts, both why-questions can get plausible answers. (shrink)

Why would we want to develop artificial human-like arithmetical intelligence, when computers already outperform humans in arithmetical calculations? Aside from arithmetic consisting of much more than mere calculations, one suggested reason is that AI research can help us explain the development of human arithmetical cognition. Here I argue that this question needs to be studied already in the context of basic, non-symbolic, numerical cognition. Analyzing recent machine learning research on artificial neural networks, I show how AI studies could potentially shed (...) light on the development of human numerical abilities, from the proto-arithmetical abilities of subitizing and estimating to counting procedures. Although the current results are far from conclusive and much more work is needed, I argue that AI research should be included in the interdisciplinary toolbox when we try to explain the development and character of numerical cognition and arithmetical intelligence. This makes it relevant also for the epistemology of mathematics. (shrink)

How do we acquire the notions of cardinality and cardinal number? In the (neo-)Fregean approach, they are derived from the notion of equinumerosity. According to some alternative approaches, defended and developed by Husserl and Parsons among others, the order of explanation is reversed: equinumerosity is explained in terms of cardinality, which, in turn, is explained in terms of our ordinary practices of counting. In their paper, ‘Cardinality, Counting, and Equinumerosity’, Richard Kimberly Heck proposes that instead of equinumerosity or counting, cardinality (...) is derived from a cognitively earlier notion of _just as many_. In this paper, we assess Heck’s proposal in terms of contemporary theories of number concept acquisition. Focusing on bootstrapping theories, we argue that there is no evidence that the notion of _just as many_ is cognitively primary. Furthermore, since the acquisition of cardinality is an enculturated process, the cognitive primariness of these notions, possibly including _just as many_, depends on various external cultural factors. Therefore, being possibly a cultural construction, _just as many_ could be one among several notions used in the acquisition of cardinality and cardinal number concepts. This paper thus challenges those accounts which seek for a fundamental concept underlying all aspects of numerical cognition. (shrink)

Following Marr’s famous three-level distinction between explanations in cognitive science, it is often accepted that focus on modeling cognitive tasks should be on the computational level rather than the algorithmic level. When it comes to mathematical problem solving, this approach suggests that the complexity of the task of solving a problem can be characterized by the computational complexity of that problem. In this paper, I argue that human cognizers use heuristic and didactic tools and thus engage in cognitive processes that (...) make their problem solving algorithms computationally suboptimal, in contrast with the optimal algorithms studied in the computational approach. Therefore, in order to accurately model the human cognitive tasks involved in mathematical problem solving, we need to expand our methodology to also include aspects relevant to the algorithmic level. This allows us to study algorithms that are cognitively optimal for human problem solvers. Since problem solving methods are not universal, I propose that they should be studied in the framework of enculturation, which can explain the expected cultural variance in the humanly optimal algorithms. While mathematical problem solving is used as the case study, the considerations in this paper concern modeling of cognitive tasks in general. (shrink)

I identify two reasons for believing in the objectivity of mathematical knowledge: apparent objectivity and applications in science. Focusing on arithmetic, I analyze platonism and cognitive nativism in terms of explaining these two reasons. After establishing that both theories run into difficulties, I present an alternative epistemological account that combines the theoretical frameworks of enculturation and cumulative cultural evolution. I show that this account can explain why arithmetical knowledge appears to be objective and has scientific applications. Finally, I will argue (...) that, while this account is compatible with platonist metaphysics, it does not require postulating mind-independent mathematical objects. (shrink)

Recent research shows – somewhat astonishingly – that people are willing to ascribe moral blame to AI-driven systems when they cause harm [1]–[4]. In this paper, we explore the moral- psychological underpinnings of these findings. Our hypothesis was that the reason why people ascribe moral blame to AI systems is that they consider them capable of entertaining inculpating mental states (what is called mens rea in the law). To explore this hypothesis, we created a scenario in which an AI system (...) runs a risk of poisoning people by using a novel type of fertilizer. Manipulating the computational (or quasi-cognitive) abilities of the AI system in a between-subjects design, we tested whether people’s willingness to ascribe knowledge of a substantial risk of harm (i.e., recklessness) and blame to the AI system. Furthermore, we investigated whether the ascription of recklessness and blame to the AI system would influence the perceived blameworthiness of the system’s user (or owner). In an experiment with 347 participants, we found (i) that people are willing to ascribe blame to AI systems in contexts of recklessness, (ii) that blame ascriptions depend strongly on the willingness to attribute recklessness and (iii) that the latter, in turn, depends on the perceived “cognitive” capacities of the system. Furthermore, our results suggest (iv) that the higher the computational sophistication of the AI system, the more blame is shifted from the human user to the AI system. (shrink)

Intellectual humility is an interesting but underexplored disposition. The claim “I am (intellectually) humble” seems paradoxical in that someone who has the disposition in question would not typically volunteer it. There is an explanatory gap between the meaning of the sentence and the meaning the speaker expresses by uttering it. We therefore suggest analyzing intellectual humility semantically, using a psycholexical approach that focuses on both synonyms and antonyms of ‘intellectual humility’. We present a thesaurus-based method to map the semantic space (...) of intellectual humility as a heuristic to support philosophical and psychological analysis of this disposition. We find three semantic clusters that compose intellectual humility: the sensible self, the discreet self, and the inquisitive self; likewise, we find three clusters that compose its contraries: the overrated self, the underrated other, and the underrated self. (shrink)

It is widely believed that at least two developments in the last third of the 20th century have given dispositionalism—the view that powers, capacities, potencies, etc. are irreducible real properties—new credibility: (i) the many counterexamples launched against reductive analyses of dispositional predicates in terms of counterfactual conditionals and (ii) a new anti-Humean faith in necessary connections in nature which, it is said, owes a lot to Kripke’s arguments surrounding metaphysical necessity. I aim to show in this paper that necessity is, (...) in fact, of little help for the dispositionalists. My argument makes use of one of the above mentioned counterexamples against Humean reduction: antidotes. Turning the tables, I ask how the dispositionalists themselves can deal with antidotes. The result will be to show that if the dispositionalists are to demystify antidote cases, they must make plausible a conceptualisation of dispositions that does not invoke any kind of necessity. I will cautiously suggest that the anti-Humean link dispositions bring to the world has to be thought of in terms of (Newtonian) forces. (shrink)

This paper proposes and defends an account of what it is to act for reasons. In the first part, I will discuss the desire-belief and the deliberative model of acting for reasons. I will argue that we can avoid the weaknesses and retain the strengths of both views, if we pursue an alternative according to which acting for reasons involves taking something as a reason. In the main part, I will develop an account of what it is to take something (...) as a reason for action. On the basis of this, I will then offer a new account of what it is to act for reasons. (shrink)