A number of examples of studies from the field ‘The Philosophy of Mathematical Practice’ (PMP) are given. To characterise this new field, three different strands are identified: an agent-based, a historical, and an epistemological PMP. These differ in how they understand ‘practice’ and which assumptions lie at the core of their investigations. In the last part a general framework, capturing some overall structure of the field, is proposed.

Assertion is a fundamental feature of language. This volume will be the place to look for anyone interested in current work on the topic.

Scientists have long counseled against interpreting animal behavior in terms of human emotions, warning that such anthropomorphizing limits our ability to understand animals as they really are. Yet what are we to make of a female gorilla in a German zoo who spent days mourning the death of her baby? Or a wild female elephant who cared for a younger one after she was injured by a rambunctious teenage male? Or a rat who refused to push a lever for food (...) when he saw that doing so caused another rat to be shocked? Aren’t these clear signs that animals have recognizable emotions and moral intelligence? With _Wild Justice_ Marc Bekoff and Jessica Pierce unequivocally answer yes. Marrying years of behavioral and cognitive research with compelling and moving anecdotes, Bekoff and Pierce reveal that animals exhibit a broad repertoire of moral behaviors, including fairness, empathy, trust, and reciprocity. Underlying these behaviors is a complex and nuanced range of emotions, backed by a high degree of intelligence and surprising behavioral flexibility. Animals, in short, are incredibly adept social beings, relying on rules of conduct to navigate intricate social networks that are essential to their survival. Ultimately, Bekoff and Pierce draw the astonishing conclusion that there is no moral gap between humans and other species: morality is an evolved trait that we unquestionably share with other social mammals. Sure to be controversial, _Wild Justice_ offers not just cutting-edge science, but a provocative call to rethink our relationship with—and our responsibilities toward—our fellow animals. (shrink)

A persuasive monograph that answers the keyepistemological arguments against anti-individualism in thephilosophy of mind.

Contextualists such as Cohen and DeRose claim that the truth conditions of knowledge attributions vary contextually, in particular that the strength of epistemic position required for one to be truly ascribed knowledge depends on features of the attributor's context. Contextualists support their view by appeal to our intuitions about when it's correct (or incorrect) to ascribe knowledge. Someone might argue that some of these intuitions merely reflect when it is conversationally appropriate to ascribe knowledge, not when knowledge is truly ascribed, (...) and so try to accommodate these intuitions even on an invariantist view. DeRose (Blackwell Guide to Epistemology, 1998; Philosophical Review, 2002) argues that any such 'warranted assertibility manoeuvre', or 'WAM', against contextualism is unlikely to succeed. Here, I argue that his objections to a WAM against contextualism are not persuasive and offer a pragmatic account of the data about ascriptions of knowledge. (shrink)

When subjects violate epistemic standards or norms, we sometimes judge them blameworthy rather than blameless. For instance, we might judge a subject blameworthy for dogmatically continuing to believe a claim even after receiving evidence which undermines it. Indeed, the idea that one may be blameworthy for belief is appealed to throughout the contemporary epistemic literature. In some cases, a subject seems blameworthy for believing as she does even though it seems prima facie implausible that she is morally blameworthy or professionally (...) blameworthy. Such cases raise the question of whether one can be blameworthy for a belief in a specifically epistemic sense rather than in some already recognised sense, such as being morally or professionally blameworthy. A number of authors have recently argued that there is a moral or social sense in which one ought to conform one’s beliefs to the evidence. In this paper, I argue that even while accepting that there are moral and social norms governing belief, there are cases in which a subject is blameworthy for a belief but isn’t plausibly morally or socially blameworthy. If this latter view is correct, then we may need to develop a new account of blame which can be applied to beliefs which are not morally or socially blameworthy. (shrink)

Stanley and Williamson have defended the intellectualist thesis that knowing-how is a subspecies of knowing-that by appeal to the syntax and semantics of ascriptions of knowing-how. Critics have objected that this way of defending intellectualism places undue weight on linguistic considerations and fails to give sufficient attention to empirical considerations from the scientific study of the mind. In this paper, I examine and reject Stanley's recent attempt to answer the critics.

I consider but reject one broad strategy for answering the threshold problem for fallibilist accounts of knowledge, namely what fixes the degree of probability required for one to know? According to the impurist strategy to be considered, the required degree of probability is fixed by one's practical reasoning situation. I distinguish two different ways to implement the suggested impurist strategy. According to the Relevance Approach, the threshold for a subject to know a proposition at a time is determined by the (...) practical reasoning situations she is then in to which that particular proposition is relevant. According to the Unity Approach, the threshold for a subject to know any proposition whatsoever at a time is determined by a privileged practical reasoning situation she then faces, most plausibly the highest stakes practical reasoning situation she is then in. I argue that neither way of implementing the impurist strategy succeeds and so impurism does not offer a satisfactory response to the threshold problem. (shrink)

This article discusses the role of diagrams in mathematical reasoning in the light of a case study in analysis. In the example presented certain combinatorial expressions were first found by using diagrams. In the published proofs the pictures were replaced by reasoning about permutation groups. This article argues that, even though the diagrams are not present in the published papers, they still play a role in the formulation of the proofs. It is shown that they play a role in concept (...) formation as well as representations of proofs. In addition we note that 'visualization' is used in two different ways. In the first sense 'visualization' denotes our inner mental pictures, which enable us to see that a certain fact holds, whereas in the other sense 'visualization' denotes a diagram or representation of something. (shrink)

In this paper I investigate what it is for a group to believe something for a reason. I defend a non-summative account on which a group can believe that p for a reason even though none of its members believe that p for that reason. By contrast, a summative account would hold that the reason for which a group believes that p is a function of the reason for which its members believe that p. I argue that the proposed non-summative (...) account deals better with cases in which members of a group believe that p for different reasons. I also defend it against a range of objections, including that it conflicts with epistemic norms for assertion and action. (shrink)

The main contribution of this paper is a new account of how a community may introduce a term for a natural kind in advance of knowing the correct scientific account of that kind. The account is motivated by the inadequacy of the currently dominant accounts of how a community may do this, namely those proposed by Kripke and by Putman. Their accounts fail to deal satisfactorily with the facts that (1) typically, an item that instantiates one natural kind instantiates several (...) - 'the higher-level natural kinds problem', and (2) natural kinds often occur in nature in impure form - 'the composition problem' .On the account I propose, a term for a natural kind gains its reference by being associated with a recognitional capacity for that kind. I show how members of a scientifically ignorant community could have a recognitional capacity for a natural kind, say gold, as opposed to a certain kind of appearance, for instance the appearance that gold actually has. I argue that members of such a community can have recognitional capacities for particular natural kinds despite the actual or possible existence of duplicate kinds, e.g. water. After developing the account in detail, I show how it can deal with the two problems faced by Kripke's and Putnam's problem. The case of natural kind terms is crucial to the central debate in the philosophy of language and the philosophy of mind about whether we can refer non-descriptively to objects and kinds in the world. I take the account I propose to be a non-descriptive account of linguistic reference to natural kinds that can be used to support externalism in the philosophy of mind. (shrink)

(Note: this is the lead article in a forthcoming issue of _Australasian Philosophical Review_ edited by Dana Goswick, with invited comments by Karen Bennett, Ricki Bliss, Jonathan Schaffer, Alexander Skiles. In June 2024 there will be an open call for other commentators; please contact Dana or Jessica if you are interested.) A wide range of scientific, religious/cosmological, and philosophical views presuppose that there is what I call `metaphysical structure', whereby (i) some goings-on in a given domain D are (absolutely (...) or comparatively) fundamental; and (ii) (comparatively) non-fundamental goings-on in D metaphysically depend on (absolutely or comparatively) fundamental goings-on in D. Such presuppositions motivate two broadly metametaphysical questions: (i) what makes it the case that some goings-on in a domain D are (absolutely or comparatively) fundamental? and (ii) what makes it the case that (comparatively) non-fundamental goings-on in a domain D metaphysically depend on (absolutely or comparatively) fundamental goings-on in D? Here I advance my preferred 'Fundamentality First' package deal approach to metaphysical structure, which couples a primitivist approach to fundamentality with a pluralist approach to metaphysical dependence. (shrink)

This paper compares the statement ‘Mathematics is the study of structure’ with the actual practice of mathematics. We present two examples from contemporary mathematical practice where the notion of structure plays different roles. In the first case a structure is defined over a certain set. It is argued firstly that this set may not be regarded as a structure and secondly that what is important to mathematical practice is the relation that exists between the structure and the set. In the (...) second case, from algebraic topology, one point is that an object can be a place in different structures. Which structure one chooses to place the object in depends on what one wishes to do with it. Overall the paper argues that mathematics certainly deals with structures, but that structures may not be all there is to mathematics. (shrink)

. This paper identifies two aspects of the structuralist position of S. Shapiro which are in conflict with the actual practice of mathematics. The first problem follows from Shapiros identification of isomorphic structures. Here I consider the so called K-group, as defined by A. Grothendieck in algebraic geometry, and a group which is isomorphic to the K-group, and I argue that these are not equal. The second problem concerns Shapiros claim that it is not possible to identify objects in a (...) structure except through the relations and functions that are defined on the structure in which the object has a place. I argue that, in the case of the definition of the so called direct image of a function, it is possible to individuate objects in structures. (shrink)

Following Burge, many anti-individualists suppose that a subject can possess a concept even if she incompletely understands it. While agreeing that this is possible, I argue that there is a limit on the extent to which a subject can incompletely understand the set of concepts she thinks with. This limit derives from our conception of our ability to reflectively evaluate our own thoughts or, as Burge puts it, our ability to engage in critical reasoning. The paper extends Burge’s own work (...) on critical reasoning. He argued that critical reasoning imposes a limit on the extent to which we can be mistaken about what thoughts we are having; in general, we can know non-empirically what we are thinking . He does not explicitly consider whether critical reasoning also imposes a limit on incomplete understanding of thoughts. (shrink)

In this paper I propose a position in the ontology of mathematics which is inspired mainly by a case study in the mathematical discipline if-theory. The main theses of this position are that mathematical objects are introduced by mathematicians and that after mathematical objects have been introduced, they exist as objectively accessible abstract objects.

In this paper I discuss a key issue for group moral responsibility, namely whether we can make sense of a group acting for one reason rather than another. The notion of acting for one reason rather than another is central to standard accounts of individual agency and responsibility; and also determines whether an individual is blameworthy or praiseworthy for an action. Thus if we model group responsibility on individual responsibility, we need to be able to make sense of a group (...) acting for one reason rather than another. In this paper, I raise problems for both summative and inflationary accounts of what it is for a group to act on a reason, before suggesting several potential solutions at the end. (shrink)

McKinsey-style reductio arguments aim to show that anti-individualism is incompatible with privileged access, the claim that a subject can have a priori knowledge of her thought contents. I defend my version of the reductio against the objections of Falvey, and McLaughlin and Tye. However, I raise and discuss a more serious objection--that it may be difficult for a subject to know a priori that she is agnostic about a concept, given that agnosticism involves being unsure whether a concept applies to (...) things of a certain type when there is a determinate fact whether or not the concept so applies. (shrink)

Authentic community engagement in Indigenous communities insists on the exercise of tribal sovereignty over research. American Indian and Alaska Native tribes are sovereign Nations with uni...

Leading animal models are powerful tools for translational research, but they also present obstacles. Poorly conducted preclinical research in animals is a common cause of translational failure, but even when such research is well-designed and carefully executed, challenges remain. In particular, dominant models may bias research directions, elide essential aspects of human disease, omit important context, or subtly shift research targets. Recognizing these stumbling blocks can help us find ways to avoid them: employing a wider range of models, incorporating more (...) realistic environmental conditions, better aligning studies between animals and patients, and focusing on human biology and therapeutic goals. Such changes are costly; but insisting it would be impractical or unrealistic to change strategies offers no way out of the current impasse. Rather, we must acknowledge the obstacles as well as the advantages presented by core models, and direct some of our investments in translational research toward getting around them. The dominance of biomedical research by a handful of animal models introduces subtle but significant obstacles to translation. Recognizing these obstacles is a critical first step toward finding ways around them; this paper describes how dominant models can create roadblocks, and suggests strategies to improve the efficiency of translation from animal models to humans. (shrink)

Introduction to the collection "Knowledge Ascriptions" (eds. Brown, J. and Gerken, M.).

Is disability disadvantageous? Although many assume it is paradigmatically so, many disabled individuals disagree. Whom should we trust? On the one hand, pervasive mistrust of already underrepresented groups constitutes a serious epistemic injustice. Yet, on the other, individuals routinely adapt to mistreatment and deprivation and claim to be satisfied. If we take such “adaptive preferences” (APs) at face value, then injustice and oppression may not be recognized or rectified. Thus, we must achieve a balance between taking individuals’ preferences and self-assessment (...) as definitive, and ignoring them entirely. Furthermore, current accounts of APs suffer from an ambiguity: are APs an unreliable guide to individuals’ interests, or to just policy? This chapter argues that we should distinguish between those that are unreliable in the former sense (“well-being APs”), and the latter (“justice APs”). Although all APs are nonautonomous, only well-being APs are irrational. Thus, preferences may be diagnosed as unreliable from the perspective of justice without impugning individuals’ rational capacities. (shrink)

Because technologies are frequently used for sexual gratification it seems plausible that artificial communication partners, such as voice assistants, could be used to fulfill sexual needs. While the idea of sexualized interaction with voice assistants has been portrayed in movies, there is a lack of empirical research on the effect of the ontological class on the voice’s potential to evoke interest in a sexualized interaction and its perception in terms of sexual attractiveness. The Sexual Interaction Illusion Model, which emphasizes influences (...) on sensations evoked by artificial interaction partners, furthermore suggests that there may be contextual influences, especially sexual arousal, that may be crucial for the question of engaging in a sexualized interaction with an artificial entity. To empirically investigate whether the ontological class of the speaker and the level of sexual arousal affects the heterosexual males’ interest in hearing more flirtatious messages and the perception of the communication partner’s sexual attractiveness, an online experiment with between subject design was conducted. Two hundred and fifty seven respondents were confronted with at least four, and voluntarily six messages from either a computer-mediated human or a flirtatious voice assistant, in interaction with being previously primed sexually or neutrally. The results demonstrated that the effect of sexual arousal was not prevailing on the interest in further messages and the attractiveness perception of the interaction partners, while the ontological class did so. Here, the voice assistant evoked more interest in further messages and the technology itself, while the computer mediated human was perceived to be more sexually attractive and flirtatious, and evoked more social presence. The communication partners social presence was shown to be the predictor with most explanatory power for the interaction partners perceived sexual attractiveness, regardless of whether it was human or artificial. The results underline differences between artificial and human interaction partners, but also underline that especially social presence and the feeling that the user is addressed is crucial in digitalized intimacy regardless of the ontological class. (shrink)

If you just can't decide what to wear, this enlightening guide will lead you through the diverse and sometimes contradictory aspects of fashion in a series of lively, entertaining and thoughtful essays from prominent philosophers and writers. A unique and enlightening insight into the underlying philosophy behind the power of fashion Contributions address issues in fashion from a variety of viewpoints, including aesthetics, the nature of fashion and fashionability, ethics, gender and identity politics, and design Includes a foreword by Jennifer (...) Baumgardner, feminist author, activist and cultural critic, editor of Ms magazine and regular contributor to major women's magazines including Glamour and Marie-Claire. (shrink)

O autor Darlei Dall’Agnol é formado em Filosofia pela Universidade de Caxias do sul e cursou mestrado em Filosofia na Universidade Federal do Rio Grande do Sul, com uma dissertação sobre ética e linguagem em Wittgestein; fez Doutorado em Filosofia na Universidade de Bristol, Inglaterra, defendendo tese sobre valor intrínseco na ética de Moore. Publicou vários livros na área de Ética e possui inúmeros artigos e capítulos de livros publicados no Brasil e no exterior. Algumas das obras desse autor são: (...) Ética e Linguagem: uma Introdução ao Tractatus de Wittgenstein, Valor Intrínseco – Metaética, ética normativa e ética prática em G. E. Moore, ambas com publicação em 2005. (shrink)

In the following paper, pursuing a lead from Heidegger’s 1937 reading of Nietzsche’s Also Sprach Zarathustra (ASZ), I first claim that the Nietzschean emphasis on awakening the thought and the thinker of eternal return should be read as analogous to Heidegger’s own call to awaken a fundamental attunement in the 1929/30 lecture course, Die Grundbegriffe der Metaphysik (GDM). I bolster this claim by insisting on a Nietzschean inspiration in the very call to awaken a fundamental attunement, which can be identified (...) on both implicit and explicit levels of the text. Initially exploring these levels, I argue that their commonality announces in part Heidegger’s effort to digest a debt of gratitude to the Nietzschean concept of horizon, and the task of the paper becomes to locate and articulate the connection between Nietzschean horizonality and the Heideggerian phenomenon of attunement. This is achieved through the dynamics of sleep and awakening as Heidegger contends with them thematically in GDM. By enumerating key steps of Heidegger’s argument, I show how attunement demonstrates the force of the problem of horizon and with it, the extent to which Heidegger’s thinking can be said to be intimate with that of Nietzsche. (shrink)

In this paper, I examine one central strand of Lackey’s The Epistemology of Groups, namely her account of group justified belief and the puzzle cases she uses to develop it. Her puzzle cases involve a group of museum guards most of whom justifiably believe a certain claim but do so on different bases. Consideration of these cases leads her to hold that a group justifiably believes p if and only if (1) a significant proportion of its operative members (a) justifiably (...) believe p on (b) bases that are consistent when combined and (2) the total evidence which members of the group do and should have had sufficiently support p. I question her judgement about these cases and condition 2, by examining the nature of group evidence as well as ‘transmission’ principles governing the relationship between the epistemic standing of members of a group and the group itself. (shrink)

This chapter presents an overview of the contributions to the section on Experimental Mathematics by focusing in particular on how they characterize the phenomenon of “experimental mathematics” and its origins. The second part presents two case studies illustrating how experimental mathematics is understood in contemporary analysis. The third section offers a systematic presentation of the contributions to the section.

Matrices that cannot be handled using conventional clustering, regression or classification methods are often found in every big data research area. In particular, datasets with thousands or millions of rows and less than a hundred columns regularly appear in biological so-called omic problems. The effectiveness of conventional data analysis approaches is hampered by this matrix structure, which necessitates some means of reduction. An evolutionary method called PreCLAS is presented in this article. Its main objective is to find a submatrix with (...) fewer rows that exhibits some group structure. Three stages of experiments were performed. First, a benchmark dataset was used to assess the correct functionality of the method for clustering purposes. Then, a microarray gene expression data matrix was used to analyze the method’s performance in a simple classification scenario, where differential expression was carried out. Finally, several classification methods were compared in terms of classification accuracy using an RNA-seq gene expression dataset. Experiments showed that the new evolutionary technique significantly reduces the number of rows in the matrix and intelligently performs unsupervised row selection, improving classification and clustering methods. (shrink)

Jessica du Toit wonders if our relationship with our pets can be morally defended.

From the perspective of mathematical practice, I examine positions claiming that mathematical objects are introduced by human agents. I consider in particular mathematical fictionalism and a recent position on social ontology formulated by Cole (2013, 2015). These positions are able to solve some of the challenges that non-realist positions face. I argue, however, that mathematical entities have features other than fictional characters and social institutions. I emphasise that the way mathematical objects are introduced is different and point to the multifaceted (...) role that relations and interconnections play in this context. Finally, I argue that mathematical entities can be considered to be pragmatically real. (shrink)

ABSTRACT Recent efforts to engage with Heidegger’s Origin of the Work of Art have focused on its development in the context of Heidegger’s corpus at a key interval in his political ascendancy to, and subsequent decline from, the Rectorship. This article explores the ambiguous role Nietzsche plays in delimiting Heidegger’s engagement with art by tracking the relation between art and truth in two of the four lecture courses Heidegger offered on Nietzsche between 1936 and 1940. Having tracked the shift in (...) this relation, I turn to the 1956 Addendum to Heidegger’s Origin to bring his retrospective reflections on the human to bear on the congruence between his diagnosis of Nietzsche and his own efforts to pose the question of art in terms of the evental happening of truth. (shrink)

Kant has little to say about moral frailty or weakness. But for his readers, the topic is a fruitful site of interpretive projection that deserves focus. How we approach it reveals much about Kant’s theory of motivation and his general metaphysics of mind as it relates to the practical philosophy. Prominent views on the subject range from affectivism, which holds that sensible incentives motivate weak action independently of reason’s activity, to intellectualism, which holds that weak actions are ultimately grounded in (...) reason, reflecting the subject’s true maxims. After briefly unpacking two well-known versions of each position, I will argue that neither can succeed. For in both cases, reason and sensibility are too dualistically opposed and insulated from one another to capture Kant’s view. I propose, instead, that we must completely reconsider the relationship between these capacities, and the role that sensible desire plays in light of our ability to reason. The result is a more desirable account of weakness that can both invoke the role that reason plays in determining human action, and appeal to strong sensible desires and their ability to disrupt our practical lives. (shrink)