This very short introduction will first outline how ontological investigations and questions of practice go together. The second section will bring in the next pole of this entire book, history of mathematics. How do ontology, practice, and history go together? Is this a forced marriage or one born in true love? That is, do these three belong together in some very basic way? One chapter in the section argues that the philosophy of mathematical practice intersects with the history of mathematics (...) essentially. If the first section of this introduction is persuasive that will also show that the history of mathematics intersects with ontological questions as well, specifically, that historical questions are very much about the ontological commitments of past mathematicians. The last section will take up what might seem a very different theme, namely, how these things matter to mathematics education. This section is connected closely to the second section since mathematics education has taken an interest in the role of history of mathematics in mathematics education, and much insight can be gained by seeing the issues in relation to the ontology-practice-history triad. The question of education is also important since teachers must consider what it is exactly that they are teaching, or, to adapt the title of Reuben Hersh’s well-known book, “What is mathematics really about?” And the “aboutness” of mathematics is really the ontological question. (shrink)

The Afterword reevaluates Isaiah Berlin’s highly influential collection of essays, Russian Thinkers, and suggests that some of Berlin’s views are either somewhat dated or tendentious. It sketches out a new vision of the Russian intellectual tradition as perceived from the twenty-first-century Anglophone perspective.

There are at least twelve major virtues of good theories: evidential accuracy, causal adequacy, explanatory depth, internal consistency, internal coherence, universal coherence, beauty, simplicity, unification, durability, fruitfulness, and applicability. These virtues are best classified into four classes: evidential, coherential, aesthetic, and diachronic. Each virtue class contains at least three virtues that sequentially follow a repeating pattern of progressive disclosure and expansion. Systematizing the theoretical virtues in this manner clarifies each virtue and suggests how they might have a coordinated and cumulative (...) role in theory formation and evaluation across the disciplines—with allowance for discipline specific modification. An informal and flexible logic of theory choice is in the making here. Evidential accuracy, according to my systematization, is not a largely isolated trait of good theories, as some have made it out to be. Rather, it bears multifaceted relationships, constituting significant epistemic entanglements, with other theoretical virtues. (shrink)

In Hegel's Idea of a Phenomenology of Spirit, Michael N. Forster advances an original reading of the work.

What is the nature of a conceptual scheme? Are there alternative conceptual schemes? If so, are some more justifiable or correct than others? The later Wittgenstein already addresses these fundamental philosophical questions under the general rubric of "grammar" and the question of its "arbitrariness"--and does so with great subtlety. This book explores Wittgenstein's views on these questions. Part I interprets his conception of grammar as a generalized version of Kant's transcendental idealist solution to a puzzle about necessity. It also seeks (...) to reconcile Wittgenstein's seemingly inconsistent answers to the question of whether or not grammar is arbitrary by showing that he believed grammar to be arbitrary in one sense and non-arbitrary in another. Part II focuses on an especially central and contested feature of Wittgenstein's account: a thesis of the diversity of grammars. The author discusses this thesis in connection with the nature of formal logic, the limits of language, and the conditions of semantic understanding or access. Strongly argued and cleary written, this book will appeal not only to philosophers but also to students of the human sciences, for whom Wittgenstein's work holds great relevance. (shrink)

What is the nature of a conceptual scheme? Are there alternative conceptual schemes? If so, are some more justifiable or correct than others? The later Wittgenstein already addresses these fundamental philosophical questions under the general rubric of "grammar" and the question of its "arbitrariness"--and does so with great subtlety. This book explores Wittgenstein's views on these questions. Part I interprets his conception of grammar as a generalized version of Kant's transcendental idealist solution to a puzzle about necessity. It also seeks (...) to reconcile Wittgenstein's seemingly inconsistent answers to the question of whether or not grammar is arbitrary by showing that he believed grammar to be arbitrary in one sense and non-arbitrary in another. Part II focuses on an especially central and contested feature of Wittgenstein's account: a thesis of the diversity of grammars. The author discusses this thesis in connection with the nature of formal logic, the limits of language, and the conditions of semantic understanding or access. Strongly argued and cleary written, this book will appeal not only to philosophers but also to students of the human sciences, for whom Wittgenstein's work holds great relevance. (shrink)

This book puts forward a much-needed reappraisal of Immanuel Kant's conception of and response to skepticism, as set forth principally in the Critique of Pure Reason. It is widely recognized that Kant's theoretical philosophy aims to answer skepticism and reform metaphysics--Michael Forster makes the controversial argument that those aims are closely linked. He distinguishes among three types of skepticism: "veil of perception" skepticism, which concerns the external world; Humean skepticism, which concerns the existence of a priori concepts and synthetic (...) a priori knowledge; and Pyrrhonian skepticism, which concerns the equal balance of opposing arguments. Forster overturns conventional views by showing how the first of these types was of little importance for Kant, but how the second and third held very special importance for him, namely because of their bearing on the fate of metaphysics. He argues that Kant undertook his reform of metaphysics primarily in order to render it defensible against these types of skepticism. Finally, in a critical appraisal of Kant's project, Forster argues that, despite its strengths, it ultimately fails, for reasons that carry interesting broader philosophical lessons. These reasons include inadequate self-reflection and an underestimation of the resources of Pyrrhonian skepticism. (shrink)

Forster demonstrates that Hegel did not in fact ignore epistemology, but on the contrary he fought a tireless and subtle campaign to defeat the threat of skepticism. Forster's work should dispel once and for all the view that Hegel was naive or careless in epistemological matters. Along the way, Forster makes much that has hither to remained obscure in Hegel's texts intelligible for the first time.

This book should cause a re-evaluation of Hegel, and German Idealism generally, and contribute to a re-evaluation of the skeptical tradition in philosophy.

The onset of the electronics-based information revolution will augur changes in the sociological perceptions of 'suitable careers' for women. This phenomenon is particularly evident in rural Appalachia. A planned, systematic delivery system was designed, developed, and implemented by Southwest Virginia Community College to introduce women to the challenges and possibilities of technical careers. This was accomplished through a gradualized phase-in to Technological Literacy, followed by in-depth involvement, culminating in an industrial internship experience. A special curriculum was designed to ease the (...) transition of the women, most of whom were homemakers, into the fast-paced mainstream of the academic environment. Duration of the introductory segment was one academic quarter. All project participants were clustered in a peer group, led by the project director, a trained counselor. In addition to a central course on Career Directions for Women, the program design emphasized Industrial Dynamics, the variety of uses possible with "user-friendly" microcomputers, Computer-Assisted Drafting, Electronics Instrumentation, Mathematics and Communications. Field experiences and visits to area industries were integrated into the program plan, as were visits from women who had achieved success in technical careers. Particular efforts were made to arrange for visits by the limited number of women alumni from the college's technical programs. Students were then mainstreamed into a regular program in Electronics or Computer Aided Drafting in the intermediate segment. Students are given a closer look at the industrial sector in the final segment. An examination of the social structure in Appalachian Virginia is presented, together with an albeit tentative prediction of the implications for female wage earners in this highly traditional region, so dependent heretofore on coal mining. Finally, the concept of whether this effort will lead to evolution, rather than revolution, is discussed. While covering a somewhat homogeneous and unique population cluster, the action blueprint outlined can be applied to other population groups in the U.S. and abroad. (shrink)

Nietzsche and Foucault famously employ a philosophical method of “genealogy” and apply it to the realm of morality in particular. In this article I would like to do two main things: I will begin by offering a contribution toward a sort of “genealogy of genealogy,” that is, toward an account of how the method emerged historically. I will then give an explanation of how the method is supposed to work. In a subsequent, companion article in this journal, “Genealogy and Morality,” (...) I will discuss the method’s application to morality in some concrete ways. (shrink)

Barnett argues that the United Nations, by operating on the principle of the consent of the parties, can encourage the development of a more stable and cooperative security architecture.

Johann Gottfried Herder is a towering figure in modern thought, but one who has hitherto been severely underappreciated. Michael Forster seeks to rectify that situation by exploring the full range of his ideas, and showing their enormous impact in philosophy, linguistics, anthropology, and comparative literature.

In a previous article in this journal, “Genealogy,” I offered a sort of “genealogy of genealogy,” an account of the method’s development, according to which it mainly grew, not from English or French antecedents, but out of a German tradition that began with Herder and then continued with Hegel before eventually culminating in Nietzsche himself. [...] Presupposing this account of the method of genealogy, the present article will consider the method in relation to one of its most important areas of (...) application: morality. (shrink)

It has become very popular among philosophers to attempt to discredit, or at least set severe limits to, the thesis that there exist conceptual schemes radically different from ours. This fashion is misconceived. Philosophers have attempted to justify it in two main ways: by means of arguments which are a priorist relative to the relevant linguistic and textual evidence (and either independent of or based upon positive theories of meaning, understanding, and interpretation); and by means of arguments which are a (...) posteriorist relative to that evidence. The former approach is misconceived, not only in that its particular arguments fail, but also in principle. The latter approach, while in general the right sort of approach to adopt to the question, arrives at its conclusion only through faulty execution, through misinterpretation of the evidence. Though quite unjustified, philosophers' hostility to the thesis of radically different conceptual schemes is easily explained, namely, in terms of a number of psychologically powerful motives which it subserves. These motives cannot step in to provide the missing justification, however. Instead, they reveal such hostility in an even shadier light. (shrink)

Johann Gottfried von Herder is one of the most important German philosophers of the eighteenth century, who had enormous influence on later thinkers such as Hegel, Schleiermacher and Nietzsche. His wide-ranging ideas were formative in the development of linguistics, hermeneutics, anthropology and bible scholarship, and even today they retain their vitality and relevance to an extraordinary degree. This volume presents a translation of Herder's most important and characteristic philosophical writings in his areas of central interest, including philosophy of language, philosophy (...) of mind, philosophy of history and political philosophy, as well as his general philosophical program. An introduction sets the writings in their historical context and examines their philosophical achievement. (shrink)

In the future, human destiny may depend on our ethics. In particular, biotechnology and expansion in space can transform life, raising profound questions. Guidance may be found in Life-centered ethics, as biotic ethics that value the basic patterns of organic gene/protein life, and as panbiotic ethics that always seek to expand life. These life-centered principles can be based on scientific insights into the unique place of life in nature, and the biological unity of all life. Belonging to life then implies (...) a human purpose: to safeguard and propagate life. Expansion in space will advance this purpose but will also raise basic questions. Should we expand all life or only intelligent life? Should we aim to create populations of trillions? Should we seed other solar systems? How far can we change but still preserve the human species, and life itself? The future of all life may be in our hands, and it can depend on our guiding ethics whether life will fulfil its full potentials. Given such profound powers, life-centered ethics can best secure future generations. Our descendants may then understand nature more deeply, and seek to extend life indefinitely. In that future, our human existence can find a cosmic purpose. (shrink)

A GOOD CASE COULD BE MADE that Herder is the founder not only of the modern philosophy of language but also of the modern philosophy of interpretation and translation and that he has many things to say on these subjects from which we may still learn today. This essay will not attempt to make such a case, but it will be concerned with some aspects of Herder’s position that would be central to it: three fundamental principles in his philosophy of (...) language which also play fundamental roles in his theory of interpretation and translation. The essay’s aim is also threefold: first, to describe the principles in question and their roles in this theory; second, to explain their emergence in a way which helps to make clearer the nature of Herder’s contribution ; and third, to give at least a sense of their philosophical subtlety and defensibility. (shrink)

This article argues that Nietzsche’s meta-ethics is basically a form of sentimentalism, but a form of sentimentalism that includes cognitive components in the sentiments that are involved. The article also ascribes to Nietzsche the more original position that the moral sentiments in question vary dramatically between historical periods, cultures, and even individuals, sometimes indeed to the point of becoming inverted between one case and another. Finally, the article also attributes to Nietzsche a hermeneutic insight into certain problems that this situation (...) causes for the accurate interpretation of other people’s viewpoints. Along the way, the article in addition argues that Nietzsche’s positions on all these issues were molded not only by such well-known influences as Paul Rée and Hume, but also, and indeed more strongly, by Herder, and it develops some grounds for thinking that the positions in question are highly plausible ones. (shrink)

What was the source of this great flowering? Much of the credit for it has tended to go to Jacobi and Mendelssohn, who in 1785 began a famous public dispute concerning the question whether or not Lessing had been a Spinozist, as Jacobi alleged Lessing had admitted to him shortly before his death in 1781. But Jacobi and Mendelssohn were both negatively disposed towards Spinoza. In On the Doctrine of Spinoza in Letters to Mr.

For the purpose of this article, "hermeneutics" means the theory of interpretation, i.e. the theory of achieving an understanding of texts, utterances, and so on (it does not mean a certain twentieth-century philosophical movement). Hermeneutics in this sense has a long history, reaching back at least as far as ancient Greece. However, new focus was brought to bear on it in the modern period, in the wake of the Reformation with its displacement of responsibility for interpreting the Bible from the (...) Church to individual Christians generally. This new focus on hermeneutics occurred especially in Germany.1.. (shrink)

Ludwig Wittgenstein in his later works often implies commitment to a doctrine of the autonomy or arbitrariness of grammar. This chapter discusses the conception of grammar that is presupposed in this doctrine and then explains the doctrine itself. The chapter also explains a sense in which grammar is not autonomous or arbitrary for Wittgenstein and discusses some possible criticisms of the doctrine. It should be noted at the outset that this whole area of exegetical concern is one in which the (...) fairly widespread conception in the secondary literature that the later Wittgenstein is a complete “quietist” in philosophy ‐ i.e., someone who advances no positive doctrines of his own, although encouraged by some of his own statements, seems impossible to sustain. Wittgenstein's doctrine of the autonomy or arbitrariness of grammar presupposes a highly distinctive conception of grammar, one which at least prima facie has little to do with our everyday conception of grammar. (shrink)

This volume constitutes the first collective critical study of German philosophy in the nineteenth century. A team of leading experts explore the influential figures associated with the period--including Hegel, Kierkegaard, Nietzsche, and Frege--and provide fresh accounts of the philosophical movements and key debates with which they engaged.

This paper surveys central justifications and approaches adopted by educators interested in incorporating history of mathematics into mathematics teaching and learning. This interest itself has historical roots and different historical manifestations; these roots are examined as well in the paper. The paper also asks what it means for history of mathematics to be treated as genuine historical knowledge rather than a tool for teaching other kinds of mathematical knowledge. If, however, history of mathematics is not subordinated to the ideas and (...) methods at the heart of the usual mathematical curriculum – algebraic equations, functions, derivatives, analytic geometry – if it becomes an essential subject for mathematics, then the attempt to find a place for history of mathematics requires refining our understanding of the nature of mathematics education itself. Thus, the paper asks not only how can history of mathematics be incorporated into mathematics education but also how the idea of mathematics education may need to be adjusted to accommodate history. (shrink)

Herder has been sufficiently neglected in recent times, especially among philosophers, to need a few words of introduction. He lived 1744-1803; he was a favorite student of Kant's, and a student and friend of Hamann's; he became a mentor to the young Goethe, on whose development he exercised a profound influence; and he worked, among other things, as a philosopher, literary critic, Bible scholar, and translator. As I mentioned, Herder has been especially neglected by philosophers. This.

This article explains a new ‘foreignizing’ approach to translation that was invented in the late 18th and early 19th centuries, especially by Herder and Schleiermacher, and that has since become the predominant approach in translation theory. The article argues that despite the great virtues of this approach, it was based on an unduly narrow restriction to Indo-European languages, which leaves considerable room for further improvement. Greater attention to Hebrew has since made up this deficit to a certain extent. But Chinese (...) holds the potential for even more important refinements of the original theory. The article explains the original theorists’ failure to exploit this case in terms of a certain prejudice against Chinese language and culture that had arisen at the time, and for which these theorists were themselves partly responsible. It then tries to show in some detail how deeply enriching for the theory a consideration of Chinese can be. (shrink)

This exploratory study investigated Catholic priests' knowledge and perceptions of pastoral codes of conduct and their perceptions about the processes for reporting misconduct. Overall, respondents understood that they had to breach confidentiality when parishioners divulged a threat to harm self or others or when there was an allegation of misconduct involving a colleague. Fewer respondents understood that information received in spiritual counseling or spiritual direction must be maintained confidentially. Respondents were aware that their codes of pastoral conduct offered guidance about (...) engaging in dual relationships (i.e., friendships with parishioners), but most respondents included parishioners in their circles of friends. (shrink)

Men who spend a greater proportion of time apart from their female partner since the couple’s last copulation are at greater “objective” sperm competition risk. We propose a novel cue to sperm competition risk: the time she spends with her male friends. Four hundred and twenty men in a committed, heterosexual, sexual relationship completed a questionnaire. The results indicate that men at greater objective sperm competition risk report less time desired until the couple’s next copulation, greater interest in copulating with (...) their partner, and greater anger, frustration, and upset in response to their partner’s sexual rejection, but only among men whose partner spends more time with her male friends. These results remain after controlling statistically for the participant’s age and their partner’s age. We discuss limitations of the current research, and discuss how research in human sperm competition can inform social issues, including men’s partner-directed sexual coercion. (shrink)

Argument“The problem of university courses on infinitesimal calculus and their demarcation from infinitesimal calculus in high schools” is the published version of an address Otto Toeplitz delivered at a meeting of the German Mathematical Society held in Düsseldorf in 1926. It contains the most detailed exposition of Toeplitz's ideas about mathematics education, particularly his thinking about the role of the history of mathematics in mathematics education, which he called the “genetic method” to teaching mathematics. The tensions and assumptions about mathematics, (...) history of mathematics, and historiography revealed in this piece dedicated to educational ideas are what make Toeplitz's text interesting in the study of historiography of mathematics. In general, the ways historiography of mathematics and teaching of mathematics, even without an immediate concern for history, are deeply entangled and, in our view, worth attention both in historical and educational research. (shrink)

Prehistoric archaeology, which in the American academic structure is part of anthropology, has always included and continues to include the study of social aspects of technology, particularly of technological innovation. Despite early calls for their inclusion in the field of science, technology, and society, however, archaeologists and their research have not, by and large, been integrated into this new discipline. This article is a renewed appeal for the use of archaeology in studying issues of technology and society. An example drawn (...) from prehistoric Europe illustrates how archaeology can provide a fresh perspective on social aspects of technological innovation, as well as specific data for cross-cultural comparison. (shrink)

This paper concerns a surprisingly sharp disagreement about the nature of ancient Pyrrhonism which first emerges clearly in Kant and Hegel, but which continues in contemporary interpretations. The paper begins by explaining the character of this disagreement, then attempts to adjudicate it in the light of the ancient texts.

This article offers a broad-ranging comparison of practical philosophy in the West and in China with a view to enabling not only better mutual understanding between the two sides but also better self-understanding on each side. Contrary to widespread Western conceptions that Chinese practical philosophy may have contributed some important principles in first-order morality but has contributed little in the area of meta-ethics as compared to the West, it is argued here that Chinese practical philosophy did indeed make important contributions (...) in first-order morality, but that in addition it is generally superior to Western practical philosophy in the area of meta-ethics. There are, however, certain exceptions to this rule on both sides. In the end, therefore, a comparison of the two traditions can contribute not only to a better mutual understanding, but also to a better self-understanding and improvement on each side. (shrink)

The modern concept of critique was originally formed mainly by Kant but was subsequently taken over and modified by the tradition of Hegel, Marx, and the Frankfurt School. This article considers Kant’s concept of critique in some detail, including his historical and autobiographical conception that metaphysics passes from dogmatism to skepticism to critique. It also sketches the modification of the concept by Hegel, Marx, and the Frankfurt School into one of social critique, a theory of social ideology. Neither of these (...) concepts of critique was concerned with relations between societies or cultures. However, the article argues that both of them can and should be developed in such a direction. For the concept of social ideology applies just as much to competition between societies as it does to competition between classes within a single society. And even Kant’s conception of history as a progression from dogmatism to skepticism to critique lends itself to transformation into a powerful critical explanation of Western society’s intolerant attitude toward other societies and into a program for reforming it. (shrink)

Herder already very early in his career, in the 1760s, established two vitally important and epoch-making principles in the philosophy of language: that thought is essentially dependent on and bounded by language; and that meanings or concepts should be identified - not with such items as the referents involved, Platonic forms, or empiricist 'ideas' - but with word-usages. What did Herder do for an encore? His Treatise on the Origin of Language from 1772 might seem the natural place to look (...) for an answer to this question (since it is his best known work in the philosophy of language by far), but it is really the wrong place to look, because it temporarily regresses to a more conventional and less philosophically interesting position. However, Herder did succeed in making impressive progress in a broader array of works, namely by striving to identify prima facie problem cases confronting his two principles and to reconcile them with the latter. The main ones which he identified were God, animals, and non-linguistic art. In each of these cases, having initially proposed a reconciliation which did not work, he went on to develop a much more plausible one, indeed one which (at least in the two cases that really require one: animals and non-linguistic art) seems broadly correct. (shrink)

Hermeneutics, the study of interpretation, is an essential and valuable branch of philosophy. Hermeneutics is also a central component of the methodology of the social sciences and the humanities, for example historiography, anthropology, art history, and literary criticism. In a sequence of accessible chapters, contributors across the human sciences explain the leading concepts and ideas of hermeneutics, the historical development of the field, the importance of hermeneutics in philosophy today, and the ways in which it can address contemporary concerns including (...) intercultural relations, relations between subcultures within a single society, and relations across race and gender. Clearly structured and written in non-technical language, this Companion will be an important contribution to a growing field of study. (shrink)

Abstract Since their inception, distributional models of semantics have been criticized as inadequate cognitive theories of human semantic learning and representation. A principal challenge is that the representations derived by distributional models are purely symbolic and are not grounded in perception and action; this challenge has led many to favor feature-based models of semantic representation. We argue that the amount of perceptual and other semantic information that can be learned from purely distributional statistics has been underappreciated. We compare the representations (...) of three feature-based and nine distributional models using a semantic clustering task. Several distributional models demonstrated semantic clustering comparable with clustering-based on feature-based representations. Furthermore, when trained on child-directed speech, the same distributional models perform as well as sensorimotor-based feature representations of children’s lexical semantic knowledge. These results suggest that, to a large extent, information relevant for extracting semantic categories is redundantly coded in perceptual and linguistic experience. Detailed analyses of the semantic clusters of the feature-based and distributional models also reveal that the models make use of complementary cues to semantic organization from the two data streams. Rather than conceptualizing feature-based and distributional models as competing theories, we argue that future focus should be on understanding the cognitive mechanisms humans use to integrate the two sources. (shrink)