Background: Therapeutic misconception, the misunderstanding of differences between research and clinical care, is widely prevalent among non-incarcerated trial participants. However, little attention has been paid to its presence among individuals who participate in research while incarcerated. Methods: This study examined the extent to which 72 incarcerated individuals may experience therapeutic misconception about their participation in one of six clinical trials, and its correlation with participant characteristics and potential influences on research participation. Results: On average, participants endorsed 70% of items suggestive (...) of therapeutic misconception. The tendency toward therapeutic misconception was significantly higher among African Americans and Latinos compared to Whites, among older and less educated participants, and among enrollment in a substance-abuse-related trial; it was also correlated with a belief that the trial was the only way to obtain needed treatment. Conclusions: Therapeutic misconception may be particularly high among select incarcerated individuals and is associated with a perceived lack of treatment options. Further examination of therapeutic misconception among incarcerated research participants is needed. (shrink)

Case-based instruction is a stable feature of ethics education, however, little is known about the attributes of the cases that make them effective. Emotions are an inherent part of ethical decision-making and one source of information actively stored in case-based knowledge, making them an attribute of cases that likely facilitates case-based learning. Emotions also make cases more realistic, an essential component for effective case-based instruction. The purpose of this study was to investigate the influence of emotional case content, and complementary (...) socio-relational case content, on case-based knowledge acquisition and transfer on future ethical decision-making tasks. Study findings suggest that emotional case content stimulates retention of cases and facilitates transfer of ethical decision-making principles demonstrated in cases. (shrink)

Cases have been employed across multiple disciplines, including ethics education, as effective pedagogical tools. However, the benefit of case-based learning in the ethics domain varies across cases, suggesting that not all cases are equal in terms of pedagogical value. Indeed, case content appears to influence the extent to which cases promote learning and transfer. Consistent with this argument, the current study explored the influences of contextual and personal factors embedded in case content on ethical decision-making. Cases were manipulated to include (...) a clear description of the social context and the goals of the characters involved. Results indicated that social context, specifically the description of an autonomy-supportive environment, facilitated execution of sensemaking processes and resulted in greater decision ethicality. Implications for designing optimal cases and case-based training programs are discussed. (shrink)

The relationship between mental models and ethical decision making, along with the mechanisms through which mental models affect EDM, are not well understood. Using the sensemaking approach to EDM, we empirically tested the relationship of mental models to EDM. Participants were asked to depict their mental models in response to an ethics case to reveal their understanding of the ethical dilemma, and then provide a response, along with a rationale, to a different ethical problem. Findings indicated that complexity of respondents’ (...) mental models was related to EDM, and that this relationship was mediated by sensemaking processes. The implications of these findings for improving integrity training in organizations, as well as ultimately understanding the role of mental models in EDM, are discussed. (shrink)

Case-based instruction has been regarded by many as a viable alternative to traditional lecture-based education and training. However, little is known about how case-based training techniques impact training effectiveness. This study examined the effects of two such techniques: (a) presentation of alternative outcome scenarios to a case, and (b) conducting a structured outcome evaluation. Consistent with the hypotheses, results indicate that presentation of alternative outcome scenarios reduced knowledge acquisition, reduced sensemaking and ethical decision-making strategy use, and reduced decision ethicality. Conducting (...) a structured outcome evaluation had no impact on these outcomes. Results indicate that those who use case-based instruction should take care to use clear, less complex cases with only a singular outcome if they are seeking these types of outcomes. (shrink)

Case-based reasoning has long been used to facilitate instructional effectiveness. Although much remains to be known concerning the most beneficial way to present case material, recent literature suggests that simplifying case material is favorable. Accordingly, the current study manipulated two instructional techniques, incremental case presentation and forecasting outcomes, in a training environment in an attempt to better understand the utility of simplified versus complicated case presentation for learning. Findings suggest that pairing these two cognitively demanding techniques reduces satisfaction and detracts (...) from the effectiveness of the learning approach. Implications regarding the use of instructional techniques in training programs are discussed. (shrink)

Although case-based training is popular for ethics education, little is known about how specific case content influences training effectiveness. Therefore, the effects of (a) codes of ethical conduct and (b) forecasting content were investigated. Results revealed richer cases, including both codes and forecasting content, led to increased knowledge acquisition, greater sensemaking strategy use, and better decision ethicality. With richer cases, a specific pattern emerged. Specifically, content describing codes alone was more effective when combined with short-term forecasts, whereas content embedding codes (...) within context was more effective when combined with long-term forecasts, leading to greater knowledge acquisition and sensemaking strategy use. (shrink)

As scientific and engineering efforts become increasingly global in nature, the need to understand differences in perceptions of research ethics issues across countries and cultures is imperative. However, investigations into the connection between nationality and ethical decision-making in the sciences have largely generated mixed results. In Study 1 of this paper, a measure of biases and compensatory strategies that could influence ethical decisions was administered. Results from this study indicated that graduate students from the United States and international graduate students (...) studying in the US are prone to different biases. Based on these findings, recommendations are made for developing ethics education interventions to target these decision-making biases. In Study 2, we employed an ethics training intervention based on ethical sensemaking and used a well-established measure of ethical decision-making that more fully captures the content of ethical judgment. Similar to Study 1, the results obtained in this study suggest differences do exist between graduate students from the US and international graduate students in ethical decision-making prior to taking the research ethics training. However, similar effects were observed for both groups following the completion of the ethics training intervention. (shrink)

As scientific and engineering efforts become increasingly global in nature, the need to understand differences in perceptions of research ethics issues across countries and cultures is imperative. However, investigations into the connection between nationality and ethical decision-making in the sciences have largely generated mixed results. In Study 1 of this paper, a measure of biases and compensatory strategies that could influence ethical decisions was administered. Results from this study indicated that graduate students from the United States and international graduate students (...) studying in the US are prone to different biases. Based on these findings, recommendations are made for developing ethics education interventions to target these decision-making biases. In Study 2, we employed an ethics training intervention based on ethical sensemaking and used a well-established measure of ethical decision-making that more fully captures the content of ethical judgment. Similar to Study 1, the results obtained in this study suggest differences do exist between graduate students from the US and international graduate students in ethical decision-making prior to taking the research ethics training. However, similar effects were observed for both groups following the completion of the ethics training intervention. (shrink)

This study examined how structuring case-based ethics training, either through (a) case presentation or (b) prompt questions, influences training outcomes. Results revealed an interaction between case presentation and prompt questions such that some form of structure improved effectiveness. Specifically, comparing cases led to greater sensemaking strategy use and decision-ethicality when trainees considered unstructured rather than structured prompts. When cases were presented sequentially, structuring prompts improved training effectiveness. Too much structure, however, decreased future ethical decision making, suggesting that there can be (...) too much of a good thing when structuring case-based ethics education. Implications for designing ethics training programs are discussed. (shrink)

The effectiveness of case-based learning in ethics education varies widely regarding how cases are presented. Case process instruction may impact case-based ethics education to promote sensemaking processes, ethical sensemaking strategy use, and ethical decision making (EDM) quality. This study examined two teaching techniques, notes and review, and participants completed note-taking and review activities examining a case-based scenario during an ethics education course. Results suggest that providing case notes in outline form improves sensemaking processes, strategy use, and EDM quality. In addition, (...) combining processes of provided notes and passive review results in incremental, additive performance via certain ethical sensemaking strategies and EDM quality. (shrink)

Organizational leaders face environmental challenges and pressures that put them under ethical risk. Navigating this ethical risk is demanding given the dynamics of contemporary organizations. Traditional models of ethical decision-making (EDM) are an inadequate framework for understanding how leaders respond to ethical dilemmas under conditions of uncertainty and equivocality. Sensemaking models more accurately illustrate leader EDM and account for individual, social, and environmental constraints. Using the sensemaking approach as a foundation, previous EDM models are revised and extended to comprise a (...) conceptual model of leader EDM. Moreover, the underlying factors in the model are highlighted—constraints and strategies. Four trainable, compensatory strategies (emotion regulation, self-reflection, forecasting, and information integration) are proposed and described that aid leaders in navigating ethical dilemmas in organizations. Empirical examinations demonstrate that tactical application of the strategies may aid leaders in making sense of complex and ambiguous ethical dilemmas and promote ethical behavior. Compensatory tactics such as these should be central to organizational ethics initiatives at the leader level. (shrink)

This project examined the ethical issues faced by academics and professionals in the Humanities. We conducted focus groups to gather information about the ethical concerns in these fields and used the qualitative data arising from the discussions to create a taxonomy that represents the structure of ethical issues in the Humanities. A key implication of our findings is that while the focus of ethics research and interventions has been primarily on the sciences and engineering, academics and professionals in other fields (...) also encounter some unique critical ethical dilemmas that require further research and methods of intervention. (shrink)

The similarity of documents in a large database of published Fractals articles was examined for redundancy. Three different text matching techniques were used on publisheds to identify redundancy candidates, and predictions were verified by reading full text versions of the redundancy candidate articles. A small fraction of the total articles in the database was judged to be redundant. This was viewed as a lower limit, because it excluded cases where the concepts remained the same, but the text was altered substantially.Far (...) more pervasive than redundant publications were publications that did not violate the letter of redundancy but rather violated the spirit of redundancy. There appeared to be widespread publication maximization strategies. Studies that resulted in one comprehensive paper decades ago now result in multiple papers that focus on one major problem, but are differentiated by parameter ranges, or other stratifying variables. This ‘paper inflation’ is due in large part to the increasing use of metrics (publications, patents, citations, etc) to evaluate research performance, and the researchers’ motivation to maximize the metrics. (shrink)

The similarity of documents in a large database of published Fractals articles was examined for redundancy. Three different text matching techniques were used on published Abstracts to identify redundancy candidates, and predictions were verified by reading full text versions of the redundancy candidate articles. A small fraction of the total articles in the database was judged to be redundant. This was viewed as a lower limit, because it excluded cases where the concepts remained the same, but the text was altered (...) substantially.Far more pervasive than redundant publications were publications that did not violate the letter of redundancy but rather violated the spirit of redundancy. There appeared to be widespread publication maximization strategies. Studies that resulted in one comprehensive paper decades ago now result in multiple papers that focus on one major problem, but are differentiated by parameter ranges, or other stratifying variables. This ‘paper inflation’ is due in large part to the increasing use of metrics (publications, patents, citations, etc) to evaluate research performance, and the researchers’ motivation to maximize the metrics. (shrink)

The similarity of documents in a large database of published Fractals articles was examined for redundancy. Three different text matching techniques were used on published Abstracts to identify redundancy candidates, and predictions were verified by reading full text versions of the redundancy candidate articles. A small fraction of the total articles in the database was judged to be redundant. This was viewed as a lower limit, because it excluded cases where the concepts remained the same, but the text was altered (...) substantially. Far more pervasive than redundant publications were publications that did not violate the letter of redundancy but rather violated the spirit of redundancy. There appeared to be widespread publication maximization strategies. Studies that resulted in one comprehensive paper decades ago now result in multiple papers that focus on one major problem, but are differentiated by parameter ranges, or other stratifying variables. This ‘paper inflation’ is due in large part to the increasing use of metrics (publications, patents, citations, etc) to evaluate research performance, and the researchers’ motivation to maximize the metrics. (shrink)

Presents a plethora of approaches to developing human potential in areas not conventionally addressed. Organized in two parts, this international collection of essays provides viable educational alternatives to those currently holding sway in an era of high-stakes accountability.

We estimate that 208,000 deep brain stimulation (DBS) devices have been implanted to address neurological and neuropsychiatric disorders worldwide. DBS Think Tank presenters pooled data and determined that DBS expanded in its scope and has been applied to multiple brain disorders in an effort to modulate neural circuitry. The DBS Think Tank was founded in 2012 providing a space where clinicians, engineers, researchers from industry and academia discuss current and emerging DBS technologies and logistical and ethical issues facing the field. (...) The emphasis is on cutting edge research and collaboration aimed to advance the DBS field. The Eighth Annual DBS Think Tank was held virtually on September 1 and 2, 2020 (Zoom Video Communications) due to restrictions related to the COVID-19 pandemic. The meeting focused on advances in: (1) optogenetics as a tool for comprehending neurobiology of diseases and on optogenetically-inspired DBS, (2) cutting edge of emerging DBS technologies, (3) ethical issues affecting DBS research and access to care, (4) neuromodulatory approaches for depression, (5) advancing novel hardware, software and imaging methodologies, (6) use of neurophysiological signals in adaptive neurostimulation, and (7) use of more advanced technologies to improve DBS clinical outcomes. There were 178 attendees who participated in a DBS Think Tank survey, which revealed the expansion of DBS into several indications such as obesity, post-traumatic stress disorder, addiction and Alzheimer’s disease. This proceedings summarizes the advances discussed at the Eighth Annual DBS Think Tank. (shrink)

Books Reviewed in this Article: Transforming Bible Study. By Walter Wink. Pp.175, London, SCM Press, 1981, £3.50. Isaiah 1–39. By R.E. Clements. Pp.xvi. 301, London, Marshall, Morgan and Scott, 1980, £3.95. Isaiah 40–66. By R.N. Whybray. Pp.301, London, Marshall, Morgan and Scott, 1975, Reprinted 1981, £3.95. Die Gestalt Jesu in den synoptischen Evangelien. By Heinrich Kahlefeld. Pp.264, Frankfurt, Verlag Josef Knecht, 1981, no price given. Following Jesus: Discipleship in the Gospel of Mark. By Ernest Best. Pp.283, Sheffield, JSOT Press, 1981, (...) £15.00, £5.95. The Origin of Paul's Gospel. By Seyoon Kim. Pp.xii, 391, Tübingen, J.C.B. Mohr, 1981, 78 DM. An die Römer. By Ernst Käsemann. Pp.xvi, 411, Tübingen, J.C.B. Mohr, 1980, 48 DM. Les Récits de Resurrection des Morts dans le Nouveau Testament. By Gerard Rochais. Pp.xv, 252, Cambridge, Cambridge University Press, 1981, £15.00. Prêtres Anciens, Prétre Nouveau selon le Nouveau Testament. By Albert Vanhoye. Pp.366, Paris Editions du Seuil, 1980, no price given. Woman in the World of Jesus. By Evelyn and Frank Stagg. Pp.292, Edinburgh, The St Andrew Press, 1981, no price given. Jesus, Man and the Church. By Karl Rahner. Pp.260, London, Darton Longman & Todd, 1981, £14.50. Jesus Lord and Savior: A Theopathic Christology and Soteriology. By William M. Thompson. Pp.ix, 287, Leominster, Fowler Wright, 1981, £7.45. God and World in Schleiermacher's ‘Dialektik’ and ‘Glaubenslehre’. Criticism and the Methodology of Dogmatics. By John E. Thiel. Pp.xiv, 239, Bern, Frankfurt and Las Vegas, Peter Lang, 1981, SF 49.50. Ministry: A Case for Change. By Edward Schillebeeckx. Pp.ix, 165, London, SCM Press, 1981, £4.95. The Sacraments: Readings in Contemporary Sacramental Theology. Edited by Michael J. Taylor. Pp.274, New York, Alba House, 1981, $7.95. Believing in the Church: The Corporate Nature of Faith. A Report by the Doctrine Commission of the Church of England. Pp.ix, 310, London, SPCK, 1981, £8.50. Confessing the Faith in the Church of England Today. By R.T. Beckwith. Pp.36, Oxford, La timer House, 1981, £1.00. A Kind of Noah's Ark? The Anglican Commitment to Comprehensiveness. By J.I. Packer. Pp.39, Oxford, Latimer House, 1981, £1.00. Reasonable Belief: A Survey of the Christian Faith. By Anthony Hanson and Richard Hanson. Pp.xii, 283, Oxford University Press, 1981, £8.50. Doctrine in the Church of England. The 1938 Report with a new introduction by G.W.H. Lampe. Pp.lx, 242, London, SPCK, 1982, £8.50. The Divine Right of the Papacy in Recent Ecumenical Theology. By J. Michael Miller. Pp.xvi, 322, Rome, Università Gregoriana Editrice, 1980, 18,000 Lire. Der heilige Geist in der Theologie von Heribert Mühlen: Versucheiner Darstellung und Würdigung. By John B. Banawiratma. Pp.ix, 310, Frankfurt and Bern: Peter D. Lang, 1981, SFr. 60.00. Standing Before God: Studies on Prayer in Scriptures and Tradition with Essays in Honor of John M. Oesterreicher. Edited by Asher Frinkel and Lawrence Frizzell. Pp.410, New York, Ktav Publishing House, 1981, $29.50. Judaism and Healing. By J. David Bleich. Pp.xiii, 199, New York, Ktav, 1981, $15.00. The Diversity of Moral Thinking. By Neil Cooper. Pp.x, 303, Oxford, Clarendon Press: Oxford University Press, 1981, £15.00. L'Homme: Sujet ou Objet? By Jacques Croteau. Pp.260, Montreal, Bellarmin: Tournai, Desclée et Cie, 1981, $15.00. The Texture of Knowledge: An Essay on Religion and Science. By James W. Jones. Pp.97, Washington, University Press of America, 1981, no price given. Cosmos and Creator. By Stanley L. Jaki. Pp.xii, 168, Edinburgh, Scottish Academic Press, 1980, £6.75. Dante, Philomythes and Philosopher: Man in the Cosmos. By Patrick Boyde. Pp.vii, 408, Cambridge, Cambridge University Press, 1981, £30.00. Dissidence et Philosophie au Mayen Âge. By E.L. Fortin. Pp.201, Montreal, Bellarmin, 1981, $12.00. The Philosophy of John Norris of Bemerton. By Richard Acworth. Pp.x, 388, Hildesheim, Georg Olms, 1979, 74 DM. Philosophy and Ideology in Hume's Political Thought. By David Miller. Pp.xii, 218, Oxford, Clarendon Press, 1981, £15.00. Hegelianism. By John Edward Toews. Pp.x, 450, Cambridge, Cambridge University Press, 1980, £25.00. One Hundred Years of Thomism. Edited by V.B. Brezik. Pp.210, Houston, Centre for Thomistic Studies, 1981, no price given. Gramsci's Political Thought: Hegemony, Consciousness and the Revolutionary Process. By J.V. Femia. Pp.xiii, 303, Oxford, Clarendon Press, 1981, £17.50. Greek and Roman Slavery. By Thomas Wiedemann. Pp.xvi, 284, London, Croom Helm, 1981, £10.95, £5.95. Prophecy and Millenarianism. Essays in Honour of Marjorie Reeves. Edited by Ann Williams. Pp.x, 355, London, Longman, 1980, £25.00. Of Prelates and Princes: A Study of the Economic and Social Position of the Tudor Episcopate. By Felicity Heal. Pp.xv, 353, Cambridge, Cambridge University Press, 1980, £17.50. Radical Religious Movements in Early Modern Europe. By Michael Mullett. Pp.xxiv, 193, London, George Allen & Unwin, 1980, £10.50. The Jesuits. By J.C.H. Aveling. Pp.390, London, Blond and Briggs, 1981, £16.95. The Beginnings of Ideology. By Donald R. Kelley. Pp.xv, 351, Cambridge, Cambridge University Press, 1981, £24.00. Utopia and the Ideal Society: A Study of English Utopian Writing 1516–1700. By J.C. Davis. Pp.x, 427, Cambridge, Cambridge University Press, 1981, £25.00. Eastern Politics of the Vatican 1917–1979. By Hansjakob Stehle. Pp.466, Athens, Ohio University Press, 1981, £16.20, £8.10. Structuralism or Criticism? By Geoffrey Strickland. Pp.viii, 209, Cambridge, Cambridge University Press, 1981, £17.50. The Call of God: The Theme of Vocation in the Poetry of Donne and Herbert. By Robert B. Shaw. Pp.xiii, 123, Cambridge, Mass., Cowley Publications, 1981, $5.00. John and Charles Wesley: Selected Prayers, Hymns, Journal Notes, Sermons, Letters and Treatises. Edited by Frank Whaling. Pp.xx, 412, London, SPCK, 1981, £8.95. The Trickster in West Africa: A Study of Mythic Irony and Sacred Delight. By Robert D. Pelton. Pp.312, Berkeley, University of California Press, 1980, £15.00. (shrink)

Disagreement has garnered attention in a variety of academic disciplines, but its counterpart agreement is deserving of much more attention than it has received. This paper begins by reviewing some of the existing literature directly discussing agreement. Inspired by these conversations, I then provide a typology of basic types of agreement followed by a more general discussion of its nature. The aim of the paper is to provide conceptual clarifications and a framework for discussing and analyzing agreement wherever it may (...) be found. (shrink)

One branch of bioethics assumes that mainly agents of the state are responsible for public health. Following Susan Sherwin’s relational ethics, we suggest moving away from a “state-centered” approach toward a more thoroughly relational approach. Indeed, certain agents must be reconstituted in and through shifting relations with others, complicating discussions of responsibility for public health. Drawing on two case studies—the health politics and activism of the Black Panther Party and the work of the Common Ground Collective in post-Katrina New Orleans—we (...) argue for the need to attend more carefully to the limitations of states and state-driven public health programs. (shrink)

In this chapter I offer a critique of the received way of thinking about responsibility for collective inaction and propose an alternative approach that takes as its point of departure the epistemic agency exhibited by people navigating impossible situations together. One such situation is becoming increasingly common in the context of climate change: so-called “natural” disasters wreaking havoc on communities—flooding homes, collapsing infrastructures, and straining the capacities of existing organizations to safeguard lives and livelihoods. What happens when philosophical reflection begins (...) here—in places where the institutions and practices that have emerged over the last century seem incapable of addressing the problems communities face now, and where people find themselves turning to one another for the sake of their own survival? (shrink)

Using Canada as a case study, this article argues that regulating biotechnology and nanotechnology is made unnecessarily complex and inherently unstable because of a failure to consult the public early and of-ten enough. Furthermore, it is argued that future regulators (and promoters) of nanotechnology may learn valuable lessons from the mistakes made in regulating biotechnology.

Recent research has highlighted the character and importance of the study of agreement. This paper, paralleling work on the more familiar concept of deep disagreement, will provide a first articulation of the character and implications of deep agreements, that is, agreements so deep that disagreement cannot overcome them. To do so, I start by outlining the main features of deep disagreement. I then provide a brief characterization of agreement in general to ground the discussion of the unique characteristics of deep (...) agreements and compare them to deep disagreements. After distinguishing the concept from other more familiar ones, I then point to a few of the major social and theoretical issues the existence of deep agreements poses before concluding with some remarks pointing to valuable areas for future research. (shrink)

It is commonly believed that the epistemology of mathematics must be different from the epistemology of science because their objects are different in kind, i.e. metaphysically different. In this chapter, I want to suggest that some careful work must be done before we can take the distinction between physical and mathematical objects for granted. This distinction has traditionally been drawn by making reference to location, causal powers, detectability in principle, and change in properties. By analysing the ontology of theoretical physics, (...) I wish to show that some physical objects, like quantum particles as they are described by D. Bohm, are as much mathematical as physical, for they do not seem to be located in space and time, and they are as incomplete as mathematical objects. The upshot of this discussion is to address those who are realists about physical objects and anti‐realists about mathematical objects, and, more importantly, to suggest that mathematical realists should not assume that a realist epistemology should be radically different from ordinary scientific epistemology. (shrink)

One of the strongest motivations for being an anti‐realist with regard to mathematics is the difficulty in formulating a plausible realist epistemology, given that there seems to be a lack of ties between the mathematical apparatus and observation. In this chapter, I discuss a few puzzles that the mathematical realist has to solve in order to formulate an acceptable epistemology, and I hint at the direction in which one might hope to find the solution to these puzzles. One of the (...) puzzles, that was first clearly formulated by Paul Benacerraf, is that since mathematical objects are supposed to be causally inert entities existing outside of space and time, it is hard to see how we can ever get in contact with them, i.e. how we can ever gain knowledge of them or refer to them. A second puzzle concerns the incompleteness of mathematical entities that has it, that we have no conceivable evidence and so no answers to questions of whether the objects that one mathematical theory discusses are identical to those that another theory treats. Realists can reject the presuppositions of both these puzzles. The first presupposes that there must be some sort of direct or indirect interaction between us and the objects of our knowledge. The second assumes that there is always a fact of the matter as to whether the objects of one theory are the same or distinct, as those of another. In later chapters, I will try to undermine both of these presuppositions. (shrink)

I present a theory of justification for mathematical beliefs that is both non‐foundationalist, in that it claims that some mathematics must be justified indirectly in terms of its consequences, and holistic, in that it maintains that no claim of theoretical science can be confirmed or refuted in isolation but only as a part of a system of hypotheses. Our evidence for mathematics is ultimately empirical because the mathematics that is part of theoretical science, is, in principle, revisable in light of (...) experience and confirmed by experience. Following Henry Kyburg, I develop this idea by claiming that in science we use combinations of mathematical and scientific principles to develop models that allow us to calculate values that we then compare with the data. ‘Separatists’ objections to holism revolve around the claim that holism fails to respect our intuitions about mathematics, e.g. that mathematics is clearly distinct from science and that mathematical evidence comes from proofs, rather than from experience. My response to these objections is that holism can accommodate these intuitions by appealing to pragmatic rationality that, on the one hand, underwrites the special role of mathematics and bids us to treat it as if it were a priori, and, on the other, justifies, on the grounds of simplicity and success, a local conception of evidence according to which data can confirm specific hypotheses. (shrink)

It is usual to regard mathematical objects as entities that can be identified, characterized, and known in isolation. In this chapter, I propose a contrasting view according to which mathematical entities are structureless points or positions in structures that are not distinguishable or identifiable outside the structure. By analysing the various relations that can hold between patterns, like congruence, equivalence, mutual occurrence, I also account for the incompleteness of mathematical objects, for mathematics turns out to be a conglomeration of theories, (...) each dealing with its own structure and each forgoing identities leading outside its structure. My suggestion that mathematical objects are positions in structures or patterns is not intended as an ontological reduction, but rather as a way of viewing mathematical objects and theories that put the phenomena of multiple reductions and ontological and referential relativity in a clearer light. (shrink)

I present a hypothetical account of how the ancients might have come to introduce mathematical objects in order to describe patterns, and I explain how working with patterns can generate information about the mathematical realm. The ancients might have started using what I call templates, i.e. concrete devices, like blueprints or drawings, to represent how things are shaped or structured, and this could have evolved into representing the abstract patterns that concrete things might fit. In this way, they might have (...) come to believe that written constructions and computations could provide information about the mathematical realm, for by their very nature, patterns should be structurally analogous to their templates and in positing that they are, one simply projects onto structures and features already attributed to templates. By reflecting on systems of dots representing cardinalities, the ancients could generate a body of results that then evolved into a systematic theory of numbers, but the approach fails when there is no direct connection between the computations and the patterns they are supposed to concern, e.g. those concerning trigonometric functions or transfinite ordinal numbers. In these cases, we forge a connection between proofs and patterns by positing that the premises of the proofs state uncontroversial features of the patterns, i.e. the premises constitute implicit definitions of the patterns. I explain how this position does not entail that mathematics is analytic or a priori. (shrink)

If, as I grant, mathematical objects are abstract entities existing outside of space and time, and if the idea of supernaturally grasping abstract entities is scientifically unacceptable, then we need to explain how we can attain mathematical knowledge using our ordinary faculties. I try to meet this challenge through a postulational account of the genesis of our mathematical knowledge, according to which our ancestors introduced mathematical objects by first positing geometric ideals and then postulating abstract mathematical entities. Since positing involves (...) simply introducing a discourse about objects and affirming their existence, positing mathematical objects involves nothing more serious than writing fiction. For this reason, postulational approaches seem better suited for conventionalists; so in the second part of this chapter, I explain how positing in mathematics is different from positing in fiction, and how we can gain knowledge from the former. Finally, I try to make sense of the idea that mathematical postulates are about an independent mathematical reality and that we can refer to that reality through them, by giving an immanent and disquotational account of reference and contrasting it with a transcendent/causal account. (shrink)

The indispensability thesis maintains both that using mathematical terms and assertions is an indispensable part of scientific practice and that this practice commits science to mathematical objects and truths. Anti‐realists have used several methods for attacking this thesis: Hartry Field has tried to show how science can do without mathematics by showing that it is possible to replace analytic mathematical scientific theories with synthetic versions that make no reference to mathematical objects. Phillip Kitcher and Charles Chichara have tried, instead, to (...) maintain the mathematical formalism in science without being committed to mathematical realism, by giving a non‐realist account of mathematical objects. Finally, Geoffrey Hellman devised a modal structuralism that uses modal operators to translate standard mathematical language into a ‘structuralist’ language. In this chapter I discuss these positions and claim that, on the one hand, they have failed to show that science can do without mathematical objects, and on the other, that these approaches to mathematics do not represent an ontic and epistemic gain over standard realism. (shrink)

The application of mathematics to science and the enormous success that derives from it is, perhaps, the strongest evidence in favour of mathematical realism. Quine and Putnam have taken the indispensability of mathematics in doing science as the main premise in an argument for both the truth of mathematics and the existence of mathematical objects. This argument has been criticized, among other things, for presupposing a realist position with regard to science. In this chapter, I propose a new argument, the (...) pragmatic indispensability argument that avoids the problem by failing to presuppose that our best scientific theories are true. I argue that the justification for doing science also justifies our accepting as true, the mathematics that science uses. (shrink)

Talk of truth plays a major role in formulating realism, to the point that realist theories are often criticized by attacking the correspondence theory of truth that they are presumed to defend. In this chapter, I claim that there is an alternative theory of truth, which is both non‐epistemic and not based on correspondence relation that suffices to support mathematical realism. I describe the theory as a logical conception of truth because the truth predicate will turn out to be simply (...) a logical operator. The theory has two main features: it is disquotational, and immanent, in that it specifies the extension of the term ‘true’ only for the language in which it applies. (shrink)

I explore the relation between structuralism and other theses that I have presented in the rest of the book, in particular, my holism, realism about mathematical objects, and the disquotational account of truth. In developing my theory, I have claimed that there is no fact of the matter as to whether the patterns that the various mathematical theories describe are themselves mathematical objects, so I first try to explain what the locution ‘there is no fact of the matter’ means. Next, (...) I discuss the relativity of key structuralist concepts like sub‐pattern and pattern equivalence, and then explore the possibility of formulating structuralist versions of mathematical theories. Even if my holism precludes me from drawing a sharp distinction between philosophy and science I do not regard my structuralism as a mathematical theory but rather as a philosophical account of mathematics that tries to achieve a deeper understanding of the epistemology and ontology of mathematics. My structuralism is epistemic rather than ontic because it is not an ontological reduction or a foundation for mathematics but a philosophical view about the nature of its objects. So when it is combined with realism concerning mathematical objects, it need not commit one to the existence of structures. (shrink)

The distinction between mathematical and physical objects has probably played a greater role shaping the philosophy of mathematics than the distinction between observable and theoretical entities has had in defining the philosophy of science. All the major movements in the philosophy of mathematics may be seen as attempts to free mathematics of an abstract ontology or to come to terms with it. The reasons are epistemic. Most philosophers of mathematics believe that the abstractaess of mathematical objects introduces special difficulties in (...) accounting for our ability to know them, to refer to them and even to entertain beliefs about them. These difficulties—supposedly absent even in the case of the most theoretical physical objects—make mathematical objects especially problematic and philosophically unattractive.Few have questioned this epistemic thesis or the ontic distinction it presupposes. LaVerne Shelton (1980) challenged the abstract-concrete distinction some years ago in an unpublished APA address. (shrink)