A phenomenological approach to mathematical practice is sketched out, and some problems with this sort of approach are considered. The approach outlined takes mathematical practices as its data, and seeks to provide an empirically adequate philosophy of mathematics based on observation of these practices. Some observations are presented, based on two case studies of some research into the classification of C*-algebras. It is suggested that an anti-realist account of mathematics could be developed on the basis of these and other studies, (...) locating the substance of mathematics in the various informal argument methods used by mathematicians. (shrink)

And in this book the distinguished scholar Amartya Sen offers a powerful critique of the theory of social justice that, in its grip on social and political ...

There is a clear and controlling philosophical concern that governs Ralph Waldo Emerson’s essays: freedom from limitation and self-reliance from external authority. What makes it difficult to understand his essays, however, is his style, which is characterized by disconnection, paradox, and negation. These rhetorical techniques make the meaning of his writings elusive and slippery. Though many scholars have analyzed Emerson’s style, none have approached it through the writings of Laozi, an ancient Chinese philosopher. There are two reasons I compare Emerson (...) and Laozi. First, in spite of their differences, there are important parallel themes and stylistic innovations in their writings. Second, attentiveness to a key figure in the Eastern philosophical tradition can help to explain how Emerson’s thoughts disappoint Western readers, precisely because they employ techniques beyond the method of habitual intellect in the Western frame. This essay tries to approach several features in Emerson’s writing style from a Daoist perspective to show that both philosophers purposefully use linguistic strategies such as disconnection, paradox, and negation to provoke readers into participating in understanding truth, instead of telling them directly what truth is. (shrink)

This book offers a defence of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects. Perhaps the most pressing challenge to mathematical fictionalism is the indispensability argument for the truth of our mathematical theories (and therefore for the existence of the mathematical objects posited by those theories). According to this argument, if we have reason to believe anything, we have reason to believe that the claims of our best empirical theories are (at (...) least approximately) true. But since claims whose truth would require the existence of mathematical objects are indispensable in formulating our best empirical theories, it follows that we have good reason to believe in the mathematical objects posited by those mathematical theories used in empirical science, and therefore to believe that the mathematical theories utilized in empirical science are true. Previous responses to the indispensability argument have focused on arguing that mathematical assumptions can be dispensed with in formulating our empirical theories. This book, by contrast, offers an account of the role of mathematics in empirical science according to which the successful use of mathematics in formulating our empirical theories need not rely on the truth of the mathematics utilized. (shrink)

It is widely acknowledged that categories play significant roles in the appreciation of artworks. This paper argues that the correct categories of artworks are institutionally established through social processes. Section 1 examines the candidates for determining correct categories and proposes that this question should shift the focus from category membership to appreciative behaviour associated with categories. Section 2 draws on Francesco Guala’s theory of institutions to show that categories of artworks are established as rules-in-equilibrium. Section 3 reviews the explanatory benefits (...) of this institutional theory of the correct category. [Winner of the 2022 Debates in Aesthetics Essay Prize]. (shrink)

Modernism is often implicitly known and understood from the “Western modernist” perspective and history. The wide recognition of the Western modernist canon as centre and universal displaces the contribution and significance of the non-Western world in the modern movement. Within Asia, the modernisms that arose from various nations in the region had subtly different notions of culture, identity, nationhood, and modernity, although almost every Asian country was related in one way or another to the history of Western imperialism. Using a (...) comparative analysis, this article examines modernism in twentieth-century Asia from a multicultural viewpoint, and bringing into picture the place of Asia in the history of modernism. (shrink)

Esta obra contribuye al homenaje que la Universitat de València rindió al profesor Amartya Kumar Sen con motivo de su investidura como Doctor Honoris Causa. La cuidada selección de artículos preparada por el profesor Casas Pardo, precedida de un estudio introductorio sobre su obra, recoge las aportaciones más importantes, originales y creativas del Dr. Sen a la economía, la ética y al pensamiento social en general.

Link prediction, which aims to forecast potential or missing links in a complex network based on currently observed information, has drawn growing attention from researchers. To date, a host of similarity-based methods have been put forward. Usually, one method harbors the idea that one similarity measure is applicable to various networks, and thus has performance fluctuation on different networks. In this paper, we propose a novel method to solve this issue by regarding link prediction as a multiple-attribute decision-making problem. In (...) the proposed method, we consider RA, LP, and CAR indices as the multiattribute for node pairs. The technique for order performance by similarity to ideal solution is adopted to aggregate the multiattribute and rank node pairs. The proposed method is not limited to only one similarity measure, but takes separate measures into account, since different networks may have different topological structures. Experimental results on 10 real-world networks manifest that the proposed method is superior in comparison to state-of-the-art methods. (shrink)

This paper responds to John Burgess's ‘Mathematics and _Bleak House_’. While Burgess's rejection of hermeneutic fictionalism is accepted, it is argued that his two main attacks on revolutionary fictionalism fail to meet their target. Firstly, ‘philosophical modesty’ should not prevent philosophers from questioning the truth of claims made within successful practices, provided that the utility of those practices as they stand can be explained. Secondly, Carnapian scepticism concerning the meaningfulness of _metaphysical_ existence claims has no force against a _naturalized_ version (...) of fictionalism, according to which our ordinary standards of scientific evidence may show that we have no reason to believe the mathematical existence claims made within the context of our mathematical and scientific theories. (shrink)

Defends an account of mathematical knowledge in which mathematical knowledge is a kind of modal knowledge. Leng argues that nominalists should take mathematical knowledge to consist in knowledge of the consistency of mathematical axiomatic systems, and knowledge of what necessarily follows from those axioms. She defends this view against objections that modal knowledge requires knowledge of abstract objects, and argues that we should understand possibility and necessity in a primative way.

For many philosophers not automatically inclined to Platonism, the indispensability argument for the existence of mathematical objectshas provided the best (and perhaps only) evidence for mathematicalrealism. Recently, however, this argument has been subject to attack, most notably by Penelope Maddy (1992, 1997),on the grounds that its conclusions do not sit well with mathematical practice. I offer a diagnosis of what has gone wrong with the indispensability argument (I claim that mathematics is indispensable in the wrong way), and, taking my cue (...) from Mark Colyvan''s (1998) attempt to provide a Quinean account of unapplied mathematics as `recreational'', suggest that, if one approaches the problem from a Quinean naturalist starting point, one must conclude that all mathematics is recreational in this way. (shrink)

What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions.

This discussion note responds to Mark Colyvan’s claim that there is no easy road to nominalism. While Colyvan is right to note that the existence of mathematical explanations presents a more serious challenge to nominalists than is often thought, it is argued that nominalist accounts do have the resources to account for the existence of mathematical explanations whose explanatory role resides elsewhere than in their nominalistic content.

ABSTRACT‘expressionist’ accounts of applied mathematics seek to avoid the apparent Platonistic commitments of our scientific theories by holding that we ought only to believe their mathematics-free nominalistic content. The notion of ‘nominalistic content’ is, however, notoriously slippery. Yablo's account of non-catastrophic presupposition failure offers a way of pinning down this notion. However, I argue, its reliance on possible worlds machinery begs key questions against Platonism. I propose instead that abstract expressionists follow Geoffrey Hellman's lead in taking the assertoric content of (...) empirical science to be irreducibly modal, using the ‘non-interference’ of mathematical objects as justification for detaching nominalistic consequences. (shrink)

ABSTRACT With the controversial ethical issues on the creation of human embryos through cloning for therapeutic research, which holds more promise for medical breakthroughs that the world could ever imagine and the acknowledgement by many scientists that this biotechnology may not lead in the near future to therapies; this country report discusses the approach Singapore takes on human stem cell research, interjected with the authors’ own arguments and suggestions especially on research compensation injuries, an often neglected important issue. International comparative (...) viewpoints taken by the major countries in the world are also included in the appendix. (shrink)

Are there genuine mathematical explanations of physical phenomena, and if so, how can mathematical theories, which are typically thought to concern abstract mathematical objects, explain contingent empirical matters? The answer, I argue, is in seeing an important range of mathematical explanations as structural explanations, where structural explanations explain a phenomenon by showing it to have been an inevitable consequence of the structural features instantiated in the physical system under consideration. Such explanations are best cast as deductive arguments which, by virtue (...) of their form, establish that, given the mathematical structure instantiated in the physical system under consideration, the explanandum had to occur. Against the claims of platonists such as Alan Baker and Mark Colyvan, I argue that formulating mathematical explanations as structural explanations in this way shows that we can accept that mathematics can play an indispensable explanatory role in empirical science without committing to the existence of any abstract mathematical objects. (shrink)

Gary Becker and others have done important work to broaden the content of self interest, but have not departed from seeing rationality in terms of the exclusive pursuit of self-interest. One reason why committed behavior is important is that a person can have good reason to pursue objectives other than self interest maximization (no matter how broadly it is construed). Indeed, one can also follow rules of behavior that go beyond the pursuit of one's own goals, even if the goals (...) include non-self-interested concerns. By living in a society, one develops possible reasons for considering other people's goals as well, which takes one beyond an exclusive concentration on one's own goals, not to mention the single-minded pursuit of one's own self interest. The recognition of other people's goals may be a part of rational thought. If rational behavior may depart from the relentless pursuit of one's own goals, commitment has to be important in a theory of rationality. Furthermore, seeing the role of commitment in human behavior can have explanatory importance in allowing us to understand behavior patterns that are hard to fit into the narrow format of contemporary rational choice theory. Commitment is, thus, important both for practical reason and for causal explanation. (shrink)

Debunking arguments against both moral and mathematical realism have been pressed, based on the claim that our moral and mathematical beliefs are insensitive to the moral/mathematical facts. In the mathematical case, I argue that the role of Hume’s Principle as a conceptual truth speaks against the debunkers’ claim that it is intelligible to imagine the facts about numbers being otherwise while our evolved responses remain the same. Analogously, I argue, the conceptual supervenience of the moral on the natural speaks presents (...) a difficulty for the debunker’s claim that, had the moral facts been otherwise, our evolved moral beliefs would have remained the same. (shrink)

The historiography of sexology is young. It is also expanding at a remarkable pace, both in terms of the volume of publications and, more notably, in terms of its geographical, disciplinary, and intersectional reach. This special issue takes stock of these new directions, while offering new research contributions that expand our understanding of the interdisciplinary and transnational formation of this field from the late 19th through to the mid 20th century. The five articles that make up this special issue stage (...) historiographical interventions by challenging the tendency within sexological history to focus on the medical, the homosexual, the human, and the Western European at the expense of other disciplines, diagnoses, non-human subjects, and geographical locations. A particular strength of these contributions is their focus on mapping conversations among and between sexologists on both sides of the Atlantic in the early to mid 20th century – particularly in Germany, Britain, and the US – and between East and West in the early Cold War era. (shrink)

I am embarrassed at being placed in the dizzying company of one of the truly great thinkers in the world. The similarities between Mill's ideas and mine partly reflect, of course, his influence on my thinking. But I also discuss some difficulties in taking Mill's whole theory without modification, since there are internal tensions within it. In a paper I published in 1967, I tried to discuss how Mill's willingness to hold on to some contrary positions depended on the nature (...) of his empirical reading of the world. I draw on that diagnosis in commenting on some of the articles here. There are some serious issues of misinterpretation in one of the articles, which I try to clarify. I also comment on Arrow's interpretation of what is involved in the idea of autonomy and on his own way of assessing freedom, and acknowledge the seriousness of the questions he raises about the value of freedom in normative political philosophy. (shrink)

Colloquially, episodic memory is described as “the memory of personally experienced events”. Even though episodic memory has been studied in psychology and neuroscience for about six decades, there is still great uncertainty as to what episodic memory is. Here we ask how episodic memory should be characterized in order to be validated as a natural kind. We propose to conceive of episodic memory as a knowledge-like state that is identified with an experientially based mnemonic representation of an episode that allows (...) for a mnemonic simulation thereof. We call our analysis the Sequence Analysis of Episodic Memory since episodes will be analyzed in terms of sequences of events. Our philosophical analysis of episodic memory is driven and supported by experimental results from psychology and neuroscience. We discuss selected experimental results that provide exemplary evidence for uniform causal mechanisms underlying the properties of episodic memory and argue that episodic memory is a natural kind. The argumentation proceeds along three cornerstones: First, psychological evidence suggests that a violation of any of the proposed conditions for episodic memory amounts to a deficiency of episodic memory and no form of memory or cognitive process but episodic memory fulfills them. Second, empirical results support a claim that the principal anatomical substrate of episodic memory is the hippocampus. Finally, we can pin down causal mechanisms onto neural activities in the hippocampus to explain the psychological states and processes constituting episodic memory. (shrink)

In this volume, Peter Burke, a prominent "Western" historian, offers ten hypotheses that attempt to constitute specifically "Western Historical Thinking".

This study investigated the mediating role of perceived partner responsiveness in the relationship between emotional reactivity and marital quality among Chinese couples. The survey participants included 550 couples from 28 provinces in the Eastern, Central and Western China. The ages of the husbands range from 39 to 64 years old whose average age is 46.45 years old, while the ages of the wives vary between 32 and 62 years old whose average age is 45.08 years old. The Emotion Reactivity Scale, (...) Perceived Partner Responsiveness Scale, and Quality of Marriage Index were selected for measurement. The results showed that the scores of husbands perceived partner responsiveness and marital quality were significantly higher than those of wives, and there was no significant difference in emotional reactivity between husbands and wives. Correlation analysis showed that emotional reactivity of couples was negatively correlated with perceived partner responsiveness and marital quality, while perceived partner responsiveness was positively correlated with marital quality. Based on the Actor-Partner Interdependence Model, it was found that the emotional reactivity of both spouses was a significant negative predictor of their marital quality. It also significantly negatively predicted the marital quality of the spouse. The mediating effect analysis results showed that the husbands’ perceived partner responsiveness played a mediating role in the emotional reactivity of the couples on marital quality of the husbands, and the wives’ perceived partner responsiveness played a mediating role in the emotional reactivity of the couples on marital quality of the husbands. The wives’ perceived partner responsiveness played a mediating role in the effect of the couples’ emotional reactivity on the wives’ marital quality. The results of this study contribute to a better understanding of the mechanism of emotional reactivity of couples affecting marital quality and have a guiding significance for improving marital quality. (shrink)

In an interesting letter to Anna George, the daughter of Henry George, Bernard Shaw wrote: “Your father found me a literary dilettante and militant rationalist in religion, and a barren rascal at that. By turning my mind to economics he made a man of me”. I am not able to determine what making a man of Bernard Shaw would exactly consist of, but it is clear that the kind of moral and social problems with which Shaw was deeply concerned could (...) not be sensibly pursued without examining their economic aspects. For example, the claims of property rights, which some would defend and some would dispute, are not just matters of basic moral belief that could not possibly be influenced one way or the other by any empirical arguments. They call for sensitive moral analysis responsive to empirical realities, including economic ones. (shrink)

Modern science faces a series of problems that undermine confidence in its reliability. To solve these problems, we must reflect on what makes science work and what leads it astray. This book is about Science, its strengths and weaknesses. The papers that scientists write form a vast resource of evidence and theory that is doubling about every ten years, along with the number of scientists. The size of this resource makes it hard for it to be used effectively by scientists, (...) and along with this are growing concerns about its integrity and reliability. This book looks at the scientific method, as currently applied and as understood philosophically by scientists, the social structure of science, and the structure of scientific communication through journals. It includes case studies of controversies, and looks at how fields develop over time. (shrink)

We live in a world in which the idea of human rights is persistently invoked. However, despite the tremendous appeal of the idea of human rights, it is also seen by many as lacking in foundation. I have argued, particularly in my book The Idea of Justice, that human rights are best seen as articulations of commitments in social ethics, comparable to — but very different from — accepting utilitarian reasoning. Like other ethical tenets, human rights can, of course, be (...) disputed, but the claim is that they will survive open and informed scrutiny.This view contrasts with seeing human rights in primarily legal terms, either as consequences of humane legislation, or as precursors of legal rights, or as pointing towards what should ideally be legal rights. Human rights may well be reflected in legislation, may inspire legislation, and may even serve, in many circumstances, as ideals that demand legislative attention. However, these are ‘further facts’— not the defining characteristics of human rights. (shrink)

In this paper we explore the hypothesis that constrained uses of imagination are crucial to economic modeling. We propose a theoretical framework to develop this thesis through a number of specific hypotheses that we test and refine through six new, representative case studies. Our ultimate goal is to develop a philosophical account that is practice oriented and informed by empirical evidence. To do this, we deploy an abductive reasoning strategy. We start from a robust set of hypotheses and leave space (...) for the generation of further hypotheses and theoretical claims based on the qualitative analysis of new empirical data. (shrink)

This paper argues that it is scientific realists who should be most concerned about the issue of Platonism and anti-Platonism in mathematics. If one is merely interested in accounting for the practice of pure mathematics, it is unlikely that a story about the ontology of mathematical theories will be essential to such an account. The question of mathematical ontology comes to the fore, however, once one considers our scientific theories. Given that those theories include amongst their laws assertions that imply (...) the existence of mathematical objects, scientific realism, when construed as a claim about the truth or approximate truth of our scientific theories, implies mathematical Platonism. However, a standard argument for scientific realism, the 'no miracles' argument, falls short of establishing mathematical Platonism. As a result, this argument cannot establish scientific realism as it is usually defined, but only some weaker position. Scientific 'realists' should therefore either redefine their position as a claim about the existence of unobservable physical objects, or alternatively look for an argument for their position that does establish mathematical Platonism. (shrink)

There have been only sporadic attempts to understand Chinese women’s role and influence in the field of visual arts, even though their contribution has been major. This article highlights the significance of women’s participation in modern Chinese culture through the works of several contemporary Chinese women artists who have been professionally active in visual arts in the last two decades. Using an interdisciplinary framework, drawing on concepts from theories of feminism, modernism and postcolonialism, this article seeks to understand a culturally (...) specific field in the history of art, and the relationship of various factors that have contributed to it. (shrink)

The past three years have seen a steady growth of interest in researching and practicing Philosophy for Children in educational settings in China because many educators and administrators consider it as a coherent curriculum for developing student critical, creative, caring and collaborative thinking. Excited and gratified with children’s philosophical sensitivity and enthusiasm, three representative Elementary Schools in mainland China, namely South Station Elementary School from Yunnan Province, Shanghai Liuyi Elementary School, and Washi Elementary school from Zhejiang Province, started to practice (...) P4C in the late 1990s and the early twenty-first century. Without succumbing to the aggravated uniformity of the educational system, the three schools demonstrated innovative ways to reform their educational practice, which helped to develop a different form of Chinese educational praxis. This study provides a review on three schools’ P4C practice from the perspective of motivation, development of school-based curricula, the mode and effect of P4C. The three schools found Lipman’s P4C curriculum inspiring but, for the most part, culturally and contextually inappropriate, thus developed their own P4C textbooks, pedagogy and conceptual framework. The study further offers glimpses of P4C historical development in the past thirty years in the model schools, and discusses the challenges, opportunities, existing methodological approaches, theoretical and practical tensions that Chinese P4Cers experienced when P4C being practiced. Then it proposes methodological advancements and possibilities of future P4C practice and research in mainland China. (shrink)

What should a Quinean naturalist say about moral and mathematical truth? If Quine’s naturalism is understood as the view that we should look to natural science as the ultimate ‘arbiter of truth’, this leads rather quickly to what Huw Price has called ‘placement problems’ of placing moral and mathematical truth in an empirical scientific world-view. Against this understanding of the demands of naturalism, I argue that a proper understanding of the reasons Quine gives for privileging ‘natural science’ as authoritative when (...) it comes to questions of truth and existence also apply to other stable and considered elements of our inherited world-view, including, arguably, our firmly held mathematical and moral beliefs. If so, then the ‘thin’ mathematical and moral realisms of Penelope Maddy and T. M. Scanlon, respectively, are vindicated. We do not need to shoehorn mathematical and moral truths into the pushings and pullings of our empirical scientific world-view; for the busy sailor adrift on Neurath’s boat, mathematical and moral truths already have their place. (shrink)

This book develops some of the most important themes of Sen's works over the last decade. He argues in a rich and subtle approach that we should be concerned with people's capabilities rather than their resources or welfare.