This volume contains thirteen papers that were presented at the 2017 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques, which was held at Ryerson University in Toronto. It showcases rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics from Ancient Greece to the twentieth century. A series of chapters all set in the eighteenth century consider topics such as John Marsh’s techniques (...) for the computation of decimal fractions, Euler’s efforts to compute the surface area of scalene cones, a little-known work by John Playfair on the practical aspects of mathematics, and Monge’s use of descriptive geometry. After a brief stop in the nineteenth century to consider the culture of research mathematics in 1860s Prussia, the book moves into the twentieth century with an examination of the historical context within which the Axiom of Choice was developed and a paper discussing Anatoly Vlasov’s adaptation of the Boltzmann equation to ionized gases. The remaining chapters deal with the philosophy of twentieth-century mathematics through topics such as an historically informed discussion of finitism and its limits; a reexamination of Mary Leng’s defenses of mathematical fictionalism through an alternative, anti-realist approach to mathematics; and a look at the reasons that mathematicians select specific problems to pursue. Written by leading scholars in the field, these papers are accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics. (shrink)

In a debate between tolerance and intolerance one is disinclined to side with intolerance. Nevertheless that, in a sense, is what I want to do in this paper. The particular debate I have in mind is the old one between H.L.A. Hart and Patrick Devlin about the legal enforcement of moral values. It should be noted, though, that the issue has by no means been settled in the minds of many people. The proposed repeal of the British law prohibiting the (...) promotion of homosexuality (a law known as Section 28) “could destroy Scottish society,” according to Mazhar Malik of Glasgow’s Ethnic Community Resource Centre, echoing Devlin’s concern from the 1960s. In what follows I will first sketch and defend, partially, what I take to be Devlin’s communitarian argument and then attempt to explain what is wrong with it and how this should affect our estimation of the proper relation between law and morals. I will argue that at least some private ‘immorality’ can be defended without recourse to the liberal belief in a morally private sphere. In part I I look at the kind of communitarianism that can be found in Devlin’s work, in part II I support this reading of Devlin and expand on it by looking at some important passages from his work, and in part III I consider the reasons why his argument does not support legislation against gay sex, and, in fact, could be used to defend gay rights. (shrink)

Social scientists are often interested in understanding how the dynamics of social systems are driven by the behavior of individuals that make up those systems. However, this process is hindered by the difficulty of experimentally studying how individual behavioral tendencies lead to collective social dynamics in large groups of people interacting over time. In this study, we investigate the role of social influence, a process well studied at the individual level, on the puzzling nature of success for cultural products such (...) as books, movies, and music. Using a “multiple‐worlds” experimental design, we are able to isolate the causal effect of an individual‐level mechanism on collective social outcomes. We employ this design in a Web‐based experiment in which 2,930 participants listened to, rated, and downloaded 48 songs by up‐and‐coming bands. Surprisingly, despite relatively large differences in the demographics, behavior, and preferences of participants, the experimental results at both the individual and collective levels were similar to those found in Salganik, Dodds, and Watts (2006). Further, by comparing results from two distinct pools of participants, we are able to gain new insights into the role of individual behavior on collective outcomes. We conclude with a discussion of the strengths and weaknesses of Web‐based experiments to address questions of collective social dynamics. (shrink)

Although alterations in Ras signalling are found in about 30% of human cancers, the transforming activity of oncogenic Ras is not fully understood. In a recent paper, a putative Ras1 effector in S. pombe, named Scd1, was reported to localize to mitotic apindies. Scd1 physically associates with Moe1, a factor that may contribute to the inherent inatability of microtubules (MTs) and appears to be needed for proper apindle function. Altered MT dynamics within the spindle are likely to affect spindle assembly (...) and chromosome capture, processes that need to be delicately controlled if cells are to guard against genome instability adn transformation. BloEssays 23: 307‐310,2001.©2001 John Willey & Sons, Inc. (shrink)

Recent data show that catastrophic events during one cell cycle can cause massive genome damage producing viable clones with unstable genomes. This is in contrast with the traditional view that tumorigenesis requires a long‐term process in which mutations gradually accumulate over decades. These sudden events are likely to result in a large increase in genomic diversity within a relatively short time, providing the opportunity for selective advantages to be gained by a subset of cells within a population. This genetic diversity (...) amplification, arising from a single aberrant cell cycle, may drive a population conversion from benign to malignant. However, there is likely a period of relative genome stability during the clonal expansion of tumors – this may provide an opportunity for therapeutic intervention, especially if mechanisms that limit tolerance of aneuploidy are exploited. (shrink)

Commentaries on the target article offer diverse perspectives on integrative experiment design. Our responses engage three themes: (1) Disputes of our characterization of the problem, (2) skepticism toward our proposed solution, and (3) endorsement of the solution, with accompanying discussions of its implementation in existing work and its potential for other domains. Collectively, the commentaries enhance our confidence in the promise and viability of integrative experiment design, while highlighting important considerations about how it is used.

The dominant paradigm of experiments in the social and behavioral sciences views an experiment as a test of a theory, where the theory is assumed to generalize beyond the experiment's specific conditions. According to this view, which Alan Newell once characterized as “playing twenty questions with nature,” theory is advanced one experiment at a time, and the integration of disparate findings is assumed to happen via the scientific publishing process. In this article, we argue that the process of integration is (...) at best inefficient, and at worst it does not, in fact, occur. We further show that the challenge of integration cannot be adequately addressed by recently proposed reforms that focus on the reliability and replicability of individual findings, nor simply by conducting more or larger experiments. Rather, the problem arises from the imprecise nature of social and behavioral theories and, consequently, a lack of commensurability across experiments conducted under different conditions. Therefore, researchers must fundamentally rethink how they design experiments and how the experiments relate to theory. We specifically describe an alternative framework, integrative experiment design, which intrinsically promotes commensurability and continuous integration of knowledge. In this paradigm, researchers explicitly map the design space of possible experiments associated with a given research question, embracing many potentially relevant theories rather than focusing on just one. Researchers then iteratively generate theories and test them with experiments explicitly sampled from the design space, allowing results to be integrated across experiments. Given recent methodological and technological developments, we conclude that this approach is feasible and would generate more-reliable, more-cumulative empirical and theoretical knowledge than the current paradigm – and with far greater efficiency. (shrink)

The value of knowledge has always been a central topic within epistemology. Going all the way back to Plato’s Meno, philosophers have asked, why is knowledge more valuable than mere true belief? Interest in this question has grown in recent years, with theorists proposing a range of answers. But some reject the premise of the question and claim that the value of knowledge is ‘swamped’ by the value of true belief. And others argue that statuses other than knowledge, such as (...) justification or understanding, are distinctively valuable. We will call the general question of why knowledge is valuable the value problem. (shrink)

Reductive intellectualists hold that knowledge-how is a kind of knowledge-that. For this thesis to hold water, it is obviously important that knowledge-how and knowledge-that have the same epistemic properties. In particular, knowledge-how ought to be compatible with epistemic luck to the same extent as knowledge-that. It is argued, contra reductive intellectualism, that knowledge-how is compatible with a species of epistemic luck which is not compatible with knowledge-that, and thus it is claimed that knowledge-how and knowledge-that come apart.

Extended Cognition examines the way in which features of a subject's cognitive environment can become constituent parts of the cognitive process itself. This volume explores the epistemological ramifications of this idea, bringing together academics from a variety of different areas, to investigate the very idea of an extended epistemology.

According to reductive intellectualism, knowledge-how just is a kind of propositional knowledge (e.g., Stanley & Williamson 2001; Stanley 2011a, 2011b; Brogaard, 2008a, 2008b, 2009, 2011, 2009, 2011). This proposal has proved controversial because knowledge-how and propositional knowledge do not seem to share the same epistemic properties, particularly with regard to epistemic luck. Here we aim to move the argument forward by offering a positive account of knowledge-how. In particular, we propose a new kind of anti-intellectualism. Unlike neo-Rylean anti-intellectualist views, according (...) to which the possession of knowledge-how is just a matter of possessing certain abilities, we submit that knowledge-how is a particular kind of cognitive achievement attained just when cognitive ability is connected in the right way with successful performance. (shrink)

A very natural view about perceptual knowledge is articulated, one on which perceptual knowledge is closely related to perceptual discrimination, and which fits well with a relevant alternatives account of knowledge. It is shown that this kind of proposal faces a problem, and various options for resolving this difficulty are explored. In light of this discussion, a two-tiered relevant alternatives account of perceptual knowledge is offered which avoids the closure problem. It is further shown how this proposal can: accommodate our (...) intuitions about perceptual knowledge and perceptual discrimination in terms of the notion of primary relevance, give an account of how alternatives can be rationally excluded without appeal to perceptual discrimination in terms of the notion of secondary relevance, and deal with the problem posed by inverted Gettier cases, and hence explain what it means to rationally exclude alternatives which are of secondary relevance. (shrink)

Reductive intellectualists about knowledge-how hold, contra Ryle, that knowing how to do something is just a kind of propositional knowledge. In a similar vein, traditional reductivists about understanding-why insist, in accordance with a tradition beginning with Aristotle, that the epistemic standing one attains when one understands why something is so is itself just a kind of propositional knowledge—viz., propositional knowledge of causes. A point that has been granted on both sides of these debates is that if these reductive proposals are (...) right, then knowledge-how and understanding-why should be susceptible to the same extent as knowledge-that is to being undermined by epistemic luck. This paper reports experimental results that test these luck-based predictions. Interestingly, these results suggest a striking positive correlation between self-reported philosophical expertise and attributions of knowledge-how, understanding-why and knowledge-that which run contrary to reductive proposals. We contextualize these results by showing how they align very well with a particular kind of overarching non-reductive proposal, one that two of the authors have defended elsewhere according to which knowledge-how and understanding-why, but not knowledge-that, essentially involve cognitive achievement. We conclude by situating the interpretive narrative advanced within contemporary discussions about the role of expertise in philosophical judgment. (shrink)

Our aim is to provide a topography of the relevant philosophical terrain with regard to the possible ways in which knowledge can be conceived of as extended. We begin by charting the different types of internalist and externalist proposals within epistemology, and we critically examine the different formulations of the epistemic internalism/externalism debate they lead to. Next, we turn to the internalism/externalism distinction within philosophy of mind and cognitive science. In light of the above dividing lines, we then examine first (...) the extent to which content externalism is compatible with epistemic externalism; second, whether active externalism entails epistemic externalism; and third whether there are varieties of epistemic externalism that are better suited to accommodate active externalism. Finally, we examine whether the combination of epistemic and cognitive externalism is necessary for epistemology and we comment on the potential ramifications of this move for social epistemology and philosophy of science. (shrink)

This volume explores the epistemology of distributed cognition, the idea that groups of people can generate cognitive systems that consist of all participating members. Can distributed cognitive systems generate knowledge in a similar way to individuals? If so, how does this kind of knowledge differ from normal, individual knowledge?

Inference to the best explanation—or, IBE—tells us to infer from the available evidence to the hypothesis which would, if correct, best explain that evidence. As Peter Lipton puts it, the core idea driving IBE is that explanatory considerations are a guide to inference. But what is the epistemic status of IBE, itself? One issue of contemporary interest is whether it is possible to provide a justification for IBE itself which is non- objectionably circular. We aim to carve out some new (...) space in this debate. In particular, we suggest that the matter of whether a given rule-circular argument is objectionably circular itself depends crucially on some subtle distinctions which have been made in the recent literature on perceptual warrant. By bringing these debates together, a principled reason emerges for why some kinds of rule-circular justifications for IBE are considerably less objectionable than others. (shrink)

First, a theoretical background to the volume’s topic, extended epistemology, is provided by a brief outline of its cross-disciplinary theoretical lineage and some key themes. In particular, it is shown how and why the emergence of recent and more egalitarian thinking in the cognitive sciences about the nature of human cognizing and its bounds—viz., the so-called ‘extended cognition’ program, and the related idea of an ‘extended mind’—has important and interesting ramifications in epistemology. Second, an overview is provided of the papers (...) included as chapters in the volume. The sixteen contributions are divided into two categories: those that engage with foundational issues to do with extended epistemology, and those that pursue applications of extended epistemology to new areas of research. (shrink)

In recent work, Mark Alfano and Jennifer Saul have put forward a similar kind of provocative sceptical challenge. Both appeal to recent literature in empirical psychology to show that our judgments across a wide range of cases are riddled with unreliable cognitive heuristics and biases. Likewise, they both conclude that we know a lot less than we have hitherto supposed, at least on standard conceptions of what knowledge involves. It is argued that even if one grants the empirical claims that (...) Saul and Alfano make, the sceptical conclusion that they canvass might not be as dramatic as it first appears. It is further argued, however, that one can reinstate a more dramatic sceptical conclusion by targeting their argument not at knowledge but rather at the distinct epistemic standing of understanding. (shrink)

A common epistemological assumption in contemporary bioethics held b y both proponents and critics of non-traditional forms of cognitive enhancement is that cognitive enhancement aims at the facilitation of the accumulation of human knowledge. This paper does three central things. First, drawing from recent work in epistemology, a rival account of cognitive enhancement, framed in terms of the notion of cognitive achievement rather than knowledge, is proposed. Second, we outline and respond to an axiological objection to our proposal that draws (...) from recent work by Leon Kass (2004), Michael Sandel (2009), and John Harris (2011) to the effect that ‘enhanced’ cognitive achievements are (by effectively removing obstacles to success) not worthy of pursuit, or are otherwise ‘trivial’. Third, we show how the cognitive achievement account of cognitive enhancement proposed here fits snugly with recent active externalist approaches (e.g., extended cognition) in the philosophy of mind and cognitive science. (shrink)

Variant Creutzfeldt–Jakob disease is a fatal, transmissible, neurodegenerative disorder for which there is currently no effective treatment. vCJD arose from the zoonotic spread of bovine spongiform encephalopathy. There is now compelling evidence for human to human transmission through blood transfusions from presymptomatic carriers and experts are warning that the real epidemic may be yet to come. Imperatives exist for the development of reliable, non-invasive presymptomatic diagnostic tests. Research into such tests is well advanced. In this article the ethical implications of (...) the availability of these tests are elaborated and comparisons drawn with predictive genetic testing for Huntington’s disease and screening for HIV. Paramount to considerations is the issue of whom to test, weighing up respect for personal autonomy against obligations to benefit and protect society. A paradigm is proposed similar to that used for HIV screening but with unique features: compulsory testing of all blood/organ donors and individuals undergoing surgery or invasive procedures who have a significant risk of disease transmission. (shrink)

The value of knowledge has always been a central topic within epistemology. Going all the way back to Plato’s Meno, philosophers have asked, why is knowledge more valuable than mere true belief? Interest in this question has grown in recent years, with theorists proposing a range of answers. But some reject the premise of the question and claim that the value of knowledge is ‘swamped’ by the value of true belief. And others argue that statuses other than knowledge, such as (...) justification or understanding, are distinctively valuable. We will call the general question of why knowledge is valuable the value problem. (shrink)

We propose that the prevalent moral aversion to AWS is supported by a pair of compelling objections. First, we argue that even a sophisticated robot is not the kind of thing that is capable of replicating human moral judgment. This conclusion follows if human moral judgment is not codifiable, i.e., it cannot be captured by a list of rules. Moral judgment requires either the ability to engage in wide reflective equilibrium, the ability to perceive certain facts as moral considerations, moral (...) imagination, or the ability to have moral experiences with a particular phenomenological character. Robots cannot in principle possess these abilities, so robots cannot in principle replicate human moral judgment. If robots cannot in principle replicate human moral judgment then it is morally problematic to deploy AWS with that aim in mind. Second, we then argue that even if it is possible for a sufficiently sophisticated robot to make ‘moral decisions’ that are extensionally indistinguishable from (or better than) human moral decisions, these ‘decisions’ could not be made for the right reasons. This means that the ‘moral decisions’ made by AWS are bound to be morally deficient in at least one respect even if they are extensionally indistinguishable from human ones. Our objections to AWS support the prevalent aversion to the employment of AWS in war. They also enjoy several significant advantages over the most common objections to AWS in the literature. (shrink)

We aim to move the externalism and self-knowledge debate forward by exploring two novel sceptical challenges to the prospects of self-knowledge of a paradigmatic sort, both of which result from ways in which our thought content, cognitive processes and cognitive successes depend crucially on our external environments. In particular, it is shown how arguments from extended cognition ; Clark A. Supersizing the mind: Embodiment, action, and cognitive extension. Oxford: Oxford University Press ) and situationism, Alfano M. Expanding the situationist challenge (...) to reliabilism about inference. In Fairweather A Virtue epistemology naturalized, Springer, Dordrecht, pp 103–122 ; Doris JM. Noûs 32:504–530, Doris JM. Lack of character: Personality and moral behavior. Cambridge University Press, Cambridge ; Harman G. Proceedings of the Aristotelian Society. 99:315–331, Harman G. Proceedings of the Aristotelian Society 100:223–226 ) pose hitherto unexplored challenges to the prospects of self-knowledge as it is traditionally conceived. It is shown, however, that, suitably understood, these apparent challenges in fact only demonstrate two ways in which our cognitive lives can be dependent on our environment. As such, rather than undermining our prospects for attaining self-knowledge, they instead illustrate how self-knowledge can be extended and expanded. (shrink)