We analyze the developments in mathematical rigor from the viewpoint of a Burgessian critique of nominalistic reconstructions. We apply such a critique to the reconstruction of infinitesimal analysis accomplished through the efforts of Cantor, Dedekind, and Weierstrass; to the reconstruction of Cauchy’s foundational work associated with the work of Boyer and Grabiner; and to Bishop’s constructivist reconstruction of classical analysis. We examine the effects of a nominalist disposition on historiography, teaching, and research.

We explore the potential of Simon Stevin’s numbers, obscured by shifting foundational biases and by 19th century developments in the arithmetisation of analysis.

The small, the tiny, and the infinitesimal have been the object of both fascination and vilification for millenia. One of the most vitriolic reviews in mathematics was that written by Errett Bishop about Keisler’s book Elementary Calculus: an Infinitesimal Approach. In this skit we investigate both the argument itself, and some of its roots in Bishop George Berkeley’s criticism of Leibnizian and Newtonian Calculus. We also explore some of the consequences to students for whom the infinitesimal approach is congenial. The (...) casual mathematical reader may be satisfied to read the text of the five act play, whereas the others may wish to delve into the 130 footnotes, some of which contain elucidation of the mathematics or comments on the history. (shrink)

One of the most influential scientific treatises in Cauchy's era was J.-L. Lagrange's Mécanique Analytique, the second edition of which came out in 1811, when Cauchy was barely out of his teens. Lagrange opens his treatise with an unequivocal endorsement of infinitesimals. Referring to the system of infinitesimal calculus, Lagrange writes:Lorsqu'on a bien conçu l'esprit de ce système, et qu'on s'est convaincu de l'exactitude de ses résultats par la méthode géométrique des premières et dernières raisons, ou par la méthode analytique (...) des fonctions dérivées, on peut employer les infiniment petits comme un instrument sûr et commode pour abréger et simplifier les demonstrations.Lagrange's renewed enthusiasm for .. (shrink)

We apply Benacerraf’s distinction between mathematical ontology and mathematical practice to examine contrasting interpretations of infinitesimal mathematics of the seventeenth and eighteenth century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass’s ghost behind some of the received historiography on Euler’s infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a “primary point of reference for understanding the eighteenth-century theories.” Meanwhile, scholars like (...) Bos and Laugwitz seek to explore Eulerian methodology, practice, and procedures in a way more faithful to Euler’s own. Euler’s use of infinite integers and the associated infinite products are analyzed in the context of his infinite product decomposition for the sine function. Euler’s principle of cancellation is compared to the Leibnizian transcendental law of homogeneity. The Leibnizian law of continuity similarly finds echoes in Euler. We argue that Ferraro’s assumption that Euler worked with a classical notion of quantity is symptomatic of a post-Weierstrassian placement of Euler in the Archimedean track for the development of analysis, as well as a blurring of the distinction between the dual tracks noted by Bos. Interpreting Euler in an Archimedean conceptual framework obscures important aspects of Euler’s work. Such a framework is profitably replaced by a syntactically more versatile modern infinitesimal framework that provides better proxies for his inferential moves. (shrink)

Did Leibniz exploit infinitesimals and infinities à la rigueur or only as shorthand for quantified propositions that refer to ordinary Archimedean magnitudes? Hidé Ishiguro defends the latter position, which she reformulates in terms of Russellian logical fictions. Ishiguro does not explain how to reconcile this interpretation with Leibniz’s repeated assertions that infinitesimals violate the Archimedean property (i.e., Euclid’s Elements, V.4). We present textual evidence from Leibniz, as well as historical evidence from the early decades of the calculus, to undermine Ishiguro’s (...) interpretation. Leibniz frequently writes that his infinitesimals are useful fictions, and we agree, but we show that it is best not to understand them as logical fictions; instead, they are better understood as pure fictions. (shrink)

We apply a framework developed by C. S. Peirce to analyze the concept of clarity, so as to examine a pair of rival mathematical approaches to a typical result in analysis. Namely, we compare an intuitionist and an infinitesimal approaches to the extreme value theorem. We argue that a given pre-mathematical phenomenon may have several aspects that are not necessarily captured by a single formalisation, pointing to a complementarity rather than a rivalry of the approaches.

In relation to a thesis put forward by Marx Wartofsky, we seek to show that a historiography of mathematics requires an analysis of the ontology of the part of mathematics under scrutiny. Following Ian Hacking, we point out that in the history of mathematics the amount of contingency is larger than is usually thought. As a case study, we analyze the historians’ approach to interpreting James Gregory’s expression ultimate terms in his paper attempting to prove the irrationality of \. Here (...) Gregory referred to the last or ultimate terms of a series. More broadly, we analyze the following questions: which modern framework is more appropriate for interpreting the procedures at work in texts from the early history of infinitesimal analysis? As well as the related question: what is a logical theory that is close to something early modern mathematicians could have used when studying infinite series and quadrature problems? We argue that what has been routinely viewed from the viewpoint of classical analysis as an example of an “unrigorous” practice, in fact finds close procedural proxies in modern infinitesimal theories. We analyze a mix of social and religious reasons that had led to the suppression of both the religious order of Gregory’s teacher degli Angeli, and Gregory’s books at Venice, in the late 1660s. (shrink)

Abraham Robinson’s framework for modern infinitesimals was developed half a century ago. It enables a re-evaluation of the procedures of the pioneers of mathematical analysis. Their procedures have been often viewed through the lens of the success of the Weierstrassian foundations. We propose a view without passing through the lens, by means of proxies for such procedures in the modern theory of infinitesimals. The real accomplishments of calculus and analysis had been based primarily on the elaboration of novel techniques for (...) solving problems rather than a quest for ultimate foundations. It may be hopeless to interpret historical foundations in terms of a punctiform continuum, but arguably it is possible to interpret historical techniques and procedures in terms of modern ones. Our proposed formalisations do not mean that Fermat, Gregory, Leibniz, Euler, and Cauchy were pre-Robinsonians, but rather indicate that Robinson’s framework is more helpful in understanding their procedures than a Weierstrassian framework. (shrink)

To explore the extent of embeddability of Leibnizian infinitesimal calculus in first-order logic (FOL) and modern frameworks, we propose to set aside ontological issues and focus on pro- cedural questions. This would enable an account of Leibnizian procedures in a framework limited to FOL with a small number of additional ingredients such as the relation of infinite proximity. If, as we argue here, first order logic is indeed suitable for developing modern proxies for the inferential moves found in Leibnizian infinitesimal (...) calculus, then modern infinitesimal frameworks are more appropriate to interpreting Leibnizian infinitesimal calculus than modern Weierstrassian ones. (shrink)

Cauchy's sum theorem is a prototype of what is today a basic result on the convergence of a series of functions in undergraduate analysis. We seek to interpret Cauchy’s proof, and discuss the related epistemological questions involved in comparing distinct interpretive paradigms. Cauchy’s proof is often interpreted in the modern framework of a Weierstrassian paradigm. We analyze Cauchy’s proof closely and show that it finds closer proxies in a different modern framework.

A Conversation with Claire Katz about her book, Levinas and the Crisis of Humanism.

In this tribute to Steven T. Katz on the occasion of his seventieth birthday, Michael Zank and Ingrid Anderson present sixteen original essays written by senior and junior scholars in comparative religion, philosophy of religion, modern Judaism, and theology after the Holocaust, fields of inquiry where Steven Katz made major contributions over the course of his distinguished scholarly career. The authors of this volume, specialists in Jewish history, especially the modern experience, and Jewish thought from the Bible to (...) Buber, offer theoretical and practical observations on the value of the particular. Contributions range from Tim Knepper's reevaluation of the ineffability discourse to the particulars of the Settlement Cookbook, examined by Nora Rubel as an American classic. (shrink)

How does science create knowledge? Epistemic cultures, shaped by affinity, necessity, and historical coincidence, determine how we know what we know. In this book, Karin Knorr Cetina compares two of the most important and intriguing epistemic cultures of our day, those in high energy physics and molecular biology. The first ethnographic study to systematically compare two different scientific laboratory cultures, this book sharpens our focus on epistemic cultures as the basis of the knowledge society.

In _Realistic Rationalism_, Jerrold J. Katz develops a new philosophical position integrating realism and rationalism. Realism here means that the objects of study in mathematics and other formal sciences are abstract; rationalism means that our knowledge of them is not empirical. Katz uses this position to meet the principal challenges to realism. In exposing the flaws in criticisms of the antirealists, he shows that realists can explain knowledge of abstract objects without supposing we have causal contact with them, (...) that numbers are determinate objects, and that the standard counterexamples to the abstract/concrete distinction have no force. Generalizing the account of knowledge used to meet the challenges to realism, he develops a rationalist and non-naturalist account of philosophical knowledge and argues that it is preferable to contemporary naturalist and empiricist accounts. The book illuminates a wide range of philosophical issues, including the nature of necessity, the distinction between the formal and natural sciences, empiricist holism, the structure of ontology, and philosophical skepticism. Philosophers will use this fresh treatment of realism and rationalism as a starting point for new directions in their own research. (shrink)

David Katz was an experimental psychologist who worked in the early years of psychology as an independent science. He performed many experiments on color vision and touch by means of what he called the “phenomenological method.” He claimed to have learned the method by attending Husserl’s lectures on phenomenological philosophy while the latter was teaching at Göttingen. However the method that Katz actually used was “description with an attitude of disciplined naiveté”. Consequently, while such a method was known (...) as “phenomenological” at the time Katz was working, the nomenclature reflects a historically dated meaning of phenomenology and not the sense of phenomenological method that Husserl developed later in his career. Katz’s method was actually qualitative and empirical. It was not phenomenological according to Husserl’s complete, mature philosophy. (shrink)

Eric Katz (1992) influentially argued that ecological restoration involves the ‘big lie’ that a successful restoration re-establishes or re-creates all of what was lost through human degradation, a...

Libertarians believe certain things about rights and responsibilities, about when one person is to be held responsible for invading the rights of another. Libertarians also believe certain things about consent, about when someone should be held to a contract he has entered into. What they don't realize is that the first set of beliefs doesn't mix well with the second set of beliefs—that their intuitions about rights and responsibilities quite simply don't square with their intuitions about consent. Or so I (...) shall be trying to show in this essay. (shrink)

Quine's holistic empiricist account of scientific inquiry can be characterized by three constitutive principles: *noncontradiction*, *universal revisability* and *pragmatic ordering*. We show that these constitutive principles cannot be regarded as statements within a holistic empiricist's scientific theory of the world. This claim is a corollary of our refutation of Katz's [1998, 2002] argument that holistic empiricism suffers from what he calls the Revisability Paradox. According to Katz, Quine's empiricism is incoherent because its constitutive principles cannot themselves be rationally (...) revised. Using Gärdenfors and Makinson's logic of belief revision based on epistemic entrenchment, we argue that Katz wrongly assumes that the constitutive principles are *statements* within a holistic empiricist's theory of the world. Instead, we show that constitutive principles are best seen as *properties* of a holistic empiricist's theory of scientific inquiry and we submit that, without Katz's mistaken assumption, the paradox cannot be formulated. We argue that our perspective on the status of constitutive principles is perfectly in line with Quinean orthodoxy. In conclusion, we compare our findings with van Fraassen's [2002] argument that we should think of empiricism as a stance, rather than as a doctrine. (shrink)

Katz denies that organisms created in a lab as part of a de-extinction attempt will be authentic members of the extinct species, on the basis that they will lack the original species’ defining biological and evolutionary history. Against Katz, I note that an evolutionary lineage is conferred on an organism through its inheriting genes from forebears already possessed of such a lineage, and that de-extinction amounts to a delayed, human-assisted reproductive process, in which genes are inherited from forebears (...) long dead. My conclusion is that de-extinct organisms can perfectly well have an ancient evolutionary history, contrary to what Katz claims. (shrink)

In the recent literature on the ontology and metaphysics of words, Jerrold J. Katz’ type-realist or ‘Platonist’ view is often mentioned but never spelt out in detail. This is perhaps understandable in light of the fact that his most developed statements on this matter are effectively offshoots of his main discourse in Realistic Rationalism (Katz, 1998a). His direct statements about the metaphysics of words are few and far between and are scattered across the text. This situation has often (...) led to misunderstandings or misconstruals about the exact nature of his view, some of which is buried in footnotes, and some of which must be reconstructed. Hence, criticisms of Katz’ approach have been wide of the mark or otherwise unproductive. In this article, I provide a remedy for this situation by drawing together and abstracting the relevant material regarding the metaphysics of words from its context and reconstructing the theory. I also develop the view further through resolving some potential problems and omissions, and by responding to recent criticism that the approach has received in the burgeoning literature on the philosophy of words. I hope that this will help to clarify the theory and lead to further debate and development on all sides of the discussion. (shrink)

Our understanding of the nature and processing of figurative language is central to several important issues in cognitive science, including the relationship of language and thought, how we process language, and how we comprehend abstract meaning. Over the past fifteen years, traditional approaches to these issues have been challenged by experimental psychologists, linguists, and other cognitive scientists interested in the structures of the mind and the processes that operate on them. In Figurative Language and Thought, internationally recognized experts in the (...) field of figurative language, Albert Katz, Mark Turner, Raymond W. Gibbs Jr., and Cristina Cacciari, provide a coherent and focused debate on the subject. The book's authors discuss a variety of fundamental questions, including: What can figures of speech tell us about the structure of the conceptual system? If and how should we distinguish the literal from the nonliteral in our theories of language and thought? Are we primarily figurative thinkers and consequently figurative language users or the other way around? Why do we prefer to speak metaphorically in everyday conversation, when literal options may be available for use? Is metaphor the only vehicle through which we can understand abstract concepts? What role do cultural and social factors play in our comprehension of figurative language? These and related questions are raised and argued in an integrative look at the role of nonliteral language in cognition. This volume, a part of Counterpoints series, will be thought-provoking reading for a wide range of cognitive psychologists, linguists, and philosophers. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Ethics & the Environment 7.1 (2002) 124-137 [Access article in PDF] Katz's Problematic Dualism and Its "Seismic" Effects on His Theory Wayne Ouderkirk There is much to admire in Eric Katz's Nature as Subject. 1 Many aspects of his theory strongly resonate with dominant themes in environmental ethics and with my own theoretical predilections. In addition, he applies his theory to several major environmental issues (ecological restoration (...) and the Amazon rainforest, to name two), simultaneously testing it against other views and tracing out its implications. Impressive, non-ivory tower philosophizing. The array of issues he covers is impressive too, from the place of animal rights in an environmental ethic to the relation between environmental destruction and genocide; from the tension between holism and the rights of individuals to intrinsic value; from anthropo- centrism to Judaism and the environment; from the history of environmental thought to the convergence hypothesis. And more.In light of this tremendous range and of my own attraction to such of his major themes as ecocentrism, it might seem unappreciative to criticize, [End Page 124] to dissent. But despite all the positives I find in Katz's writings, I also find faults there, faults which, when pressed, cause major fissures in the whole. The central, major problem is Katz's dualism; and I think it ultimately undoes his whole theory, since it is so intimately connected with the other parts. Within Katz's own essays, there are, I think, resources to begin a reconstruction; but as with any other such effort, the first task is to discard the parts that are no longer useable. Before doing so, however, I want to review some positive aspects of Katz's theory, lest I convey the mistaken impression that my initial praise for his work is mere courtesy. The Solid Geological Features To begin with the most general: Katz's concern for, commitment to the natural world is obvious to any reader. He suffuses every essay with a determination to seek out clear and cogent philosophical rationales for its protection. More important perhaps is his obvious personal connection to that world. His references to Fire Island's deer and beaches, for example, amply demonstrate what the rest of his writings imply: that his theoretical efforts are more than armchair musings about a current philosophical issue. Katz's efforts are both professional and passionate.On a more specifically philosophical level, I regard his anti-anthropocentrism as a significant strength. Though one can, of course, be an anthropocentrist and be an environmental philosopher—Bryan Norton (1984) and Eugene Hargrove (1989) come to mind—I think Katz's arguments showing that anthropocentric views can only offer contingent justifications for protecting the environment are cogent and valid (3-11). An important part of those arguments is Katz's demonstration that different theories in environmental philosophy do indeed result in different environmental policies. In other words, Katz offers a strong counterargument to Norton's convergence hypothesis (Norton 1991), the idea that, given environmentalists' shared commitment to the environment, the various philosophical theories offered in justification of that commitment will converge on similar policy recommendations (149 ff.). I agree with Katz's refutation of that hypothesis, and I offer my critique of his theory because I think that theory's faults will ultimately undermine sound policies.Another big asset of Katz's theory is his communitarianism, the idea that we are part of an ecological community, an ecosystem, to which we have moral obligations. Not surprisingly to anyone familiar with environmental ethics, the source of this idea is Aldo Leopold's Land Ethic (Leopold 1966), [End Page 125] which has been debated, analyzed, praised, and critiqued more than extensively in the literature. Katz pretends to no originality here; he simply adopts and vigorously defends an ecocentric ethic that counts the integrity, stability, and beauty of the system—including, not incidentally, abiotic components—as central criteria limiting human interference with nature. Unlike, for example, the total ecocentrism of J. Baird Callicott's (1980) early writing, however, Katz tempers his communitarianism with another dimension, qualifying his holistic... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Ethics & the Environment 7.1 (2002) 124-137 [Access article in PDF] Katz's Problematic Dualism and Its "Seismic" Effects on His Theory Wayne Ouderkirk There is much to admire in Eric Katz's Nature as Subject. 1 Many aspects of his theory strongly resonate with dominant themes in environmental ethics and with my own theoretical predilections. In addition, he applies his theory to several major environmental issues (ecological restoration (...) and the Amazon rainforest, to name two), simultaneously testing it against other views and tracing out its implications. Impressive, non-ivory tower philosophizing. The array of issues he covers is impressive too, from the place of animal rights in an environmental ethic to the relation between environmental destruction and genocide; from the tension between holism and the rights of individuals to intrinsic value; from anthropo- centrism to Judaism and the environment; from the history of environmental thought to the convergence hypothesis. And more.In light of this tremendous range and of my own attraction to such of his major themes as ecocentrism, it might seem unappreciative to criticize, [End Page 124] to dissent. But despite all the positives I find in Katz's writings, I also find faults there, faults which, when pressed, cause major fissures in the whole. The central, major problem is Katz's dualism; and I think it ultimately undoes his whole theory, since it is so intimately connected with the other parts. Within Katz's own essays, there are, I think, resources to begin a reconstruction; but as with any other such effort, the first task is to discard the parts that are no longer useable. Before doing so, however, I want to review some positive aspects of Katz's theory, lest I convey the mistaken impression that my initial praise for his work is mere courtesy. The Solid Geological Features To begin with the most general: Katz's concern for, commitment to the natural world is obvious to any reader. He suffuses every essay with a determination to seek out clear and cogent philosophical rationales for its protection. More important perhaps is his obvious personal connection to that world. His references to Fire Island's deer and beaches, for example, amply demonstrate what the rest of his writings imply: that his theoretical efforts are more than armchair musings about a current philosophical issue. Katz's efforts are both professional and passionate.On a more specifically philosophical level, I regard his anti-anthropocentrism as a significant strength. Though one can, of course, be an anthropocentrist and be an environmental philosopher—Bryan Norton (1984) and Eugene Hargrove (1989) come to mind—I think Katz's arguments showing that anthropocentric views can only offer contingent justifications for protecting the environment are cogent and valid (3-11). An important part of those arguments is Katz's demonstration that different theories in environmental philosophy do indeed result in different environmental policies. In other words, Katz offers a strong counterargument to Norton's convergence hypothesis (Norton 1991), the idea that, given environmentalists' shared commitment to the environment, the various philosophical theories offered in justification of that commitment will converge on similar policy recommendations (149 ff.). I agree with Katz's refutation of that hypothesis, and I offer my critique of his theory because I think that theory's faults will ultimately undermine sound policies.Another big asset of Katz's theory is his communitarianism, the idea that we are part of an ecological community, an ecosystem, to which we have moral obligations. Not surprisingly to anyone familiar with environmental ethics, the source of this idea is Aldo Leopold's Land Ethic (Leopold 1966), [End Page 125] which has been debated, analyzed, praised, and critiqued more than extensively in the literature. Katz pretends to no originality here; he simply adopts and vigorously defends an ecocentric ethic that counts the integrity, stability, and beauty of the system—including, not incidentally, abiotic components—as central criteria limiting human interference with nature. Unlike, for example, the total ecocentrism of J. Baird Callicott's (1980) early writing, however, Katz tempers his communitarianism with another dimension, qualifying his holistic... (shrink)

Claire Katz & Lara Trout, Emmanuel Levinas. Critical Assessments of Leading Philosophers ; Thomas Bedorf, Andreas Cremonini, Verfehlte Begegnung. Levinas und Sartre als philosophische Zeitgenossen ; Samuel Moyn, Origins of the Other: Emmanuel Levinas between Revelation and Ethics ; Pascal Delhom & Alfred Hirsch, Im Angesicht der Anderen. Levinas’ Philosophie des Politischen ; Sharon Todd, Learning from the other: Levinas, psychoanalysis and ethical possibilities in education ; Michel Henry, Le bonheur de Spinoza, suivi de: Etude sur le spinozisme de (...) Michel Henry, par Jean-Michel Longneaux ; Jean-François Lavigne, Husserl et la naissance de la phénoménologie. Des Recherches logiques aux Ideen: la genèse de l’idéalisme transcendantal phénoménologique ; Denis Seron, Objet et signification ; Dan Zahavi, Sara Heinämaa and Hans Ruin, Metaphysics, Facticity, Interpretation. Phenomenology in The Nordic Countries ; Dimitri Ginev, Entre anthropologie et herméneutique ; Magdalena Mărculescu-Cojocea, Critica metafizicii la Kant şi Heidegger. Problema subiectivităţii: raţiunea între autonomie şi deconstrucţie. (shrink)

Die Rassentheorie, die Geschichtsphilosophie, die Ästhetik und die Naturteleologie haben eine Gemeinsamkeit: In all diesen Themengebieten entwickelte Immanuel Kant ein Denken der Zweckmässigkeit. Die Fokussierung auf diesen Strang macht eine Verbindung sichtbar, die von seinen frühen Schriften zu den unterschiedlichen »Rassen« der Menschen hin zur Kritik der Urteilskraft und damit zu seiner Selbstreflexion über die kritische Philosophie reicht. Karin Hostettler arbeitet das mit diesem Denken verbundene Othering und die damit einhergehende Selbstaffirmation heraus und zeigt so die Selbstverortung der kritischen (...) Philosophie in einer kolonialen Episteme auf. (shrink)

We develop an evidence-based theoretical account of how widely shared cultural beliefs about gender, race, and class intersect in interpersonal and other social relational contexts in the United States to create characteristic cultural “binds” and freedoms for actors in those contexts. We treat gender, race, and class as systems of inequality that are culturally constructed as distinct but implicitly overlap through their defining beliefs, which reflect the perspectives of dominant groups in society. We cite evidence for the contextually contingent interactional (...) “binds” and freedoms this creates for people such as Asian men, Black women, and poor whites who are not prototypical of images embedded in cultural gender, race, and class beliefs. All forms of unprototypicality create “binds,” but freedoms result from being unprototypical of disadvantaging rather than advantaging statuses. (shrink)

One theme of this special issue is an incitement to reconsider the relationship between pragmatism and critical realism. While their advocates sometimes come into conflict, there are also clearly b...

In this chapter, Dahan Katz defends relational conceptions of retribution and desert. She clarifies the ways in which such relational conceptions avoid major worries associated with retributive theory, while addressing further worries that arise distinctively with respect to such an approach. In doing so, Dahan Katz provides further defense of the response-retributive theory of punishment that she has proposed elsewhere, while defending a wider set of views within the retributive tradition.

J. J. Katz in “The Problem of Induction and its Solution” argues that not only a validation but also a vindication of induction is impossible. In the course of his argument a number of interesting issues arise about what is actually required for a satisfactory vindication. The aim of those who have sought to provide a vindication for induction has been to show that it is the most satisfactory means for forming expectations about the future; they have accepted the (...) impossibility of showing that induction must, or will probably, lead to true predictions. Feigl gives a general characterisation of vindication as an “argument concerning means with respect to ends” and contrasts it to validation which is a justification of a knowledge claim by establishing it as true or probably true. We cannot validate the rules of induction but we can give a vindication of the adoption of these rules. Katz accepts Feigl's distinction in general terms but proposes some modifications to meet certain defects which he believes to be present in the latter's account. Katz distinguishes two senses of vindication, an “expediency vindication” which “establishes a justificandum as a suitable means,” while a “preferability vindication” “establishes the justificandum as the preferable means for achieving the end.” An expediency vindication shows that the proposed means is a sufficient condition for achieving the end in view, but it need not establish this means as necessary to achieve this end. A preferability vindication will establish the means as necessary to achieve this end in the best way. He then proceeds as follows: “an argument which demonstrates that a justificandum is a necessary condition—but only a necessary condition—for achieving the relevant end is not a real vindication.” He holds that the vindication of a certain means must show at least that it will achieve the end sought, and preferably that it is the best way of achieving this end. (shrink)

In Probability Designs, Karin Kukkonen presents the predictive processing model of cognition as a means of exploring narrative structure and reader experience. Utilizing the literary canon of various cultures, Kukkonen combines theory and cognitive science to analyze how reader expectation and prediction shape literature, and how literature accomplishes cognitive feats that determine the human capacity for free, exploratory thought.

Karin Michels Werk hebt sich von der bisherigen Literatur zum Thema deutlich ab, indem sie zeigt, dass Kants Zeittheorie nicht ohne seine Theorie des Raumes und seine Idealismuskritik verständlich zu machen ist. Die Autorin legt eine Rekonstruktion von Kants Beweis der genuinen Subjektivität der Zeit vor. Sie berücksichtigt dabei Beweisform sowie Beweisinhalt und setzt sich außerdem durchgehend mit Kant-Kommentatoren und -kritikern auseinander. Verständlich wird dadurch nicht nur Kants radikaler Neuansatz in der Zeitphilosophie, sondern auch die Bedeutung des Beweises für (...) sein Gesamtprojekt der Vernunftkritik. (shrink)

Some philosophers claim that young children cannot do philosophy. This paper examines some of those claims, and puts forward arguments against them. Our beliefs that children cannot do philosophy are based on philosophical assumptions about children, their thinking and about philosophy. Many of those assumptions remain unquestioned by critics of Philosophy with Children. My conclusion is that the idea that very young children can do philosophy has not only significant consequences for how we should educate young children, but also for (...) how adults should do philosophy; and that further research is urgently needed. (shrink)

Volume 19, Issue 4, August 2020, Page 309-313.

The foundations of linguistics continue to generate philosophical debate. Jerrold Katz claims that the subject matter of linguistics consists of abstract objects and that, as a consequence, the discipline cannot be viewed as part of psychology. I respond by arguing (1) that Katz misinterprets work in the philosophy of mathematics which he believes sheds light on foundational questions in linguistics; (2) that he misunderstands aspects of Noam Chomsky's position, against whose conception of linguistics many of his claims are (...) directed; (3) that Katz fails to dispose of a much more plausible analysis, according to which linguistics remains an empirical inquiry in spite of its abstract subject matter; and, finally, (4) that his arguments against what he calls‘generativism’, appealing to the existence of an infinitely long grammatical sentence of English, are flawed. (shrink)

Millian theories of proper names say that the meaning of a proper name is just its referent. These theories have an appealing kind of simplicity to them, but they also have an apparently serious problem with names that fail to refer. Consider, for example, sentence.

In this paper we offer an appreciation and critique of patient-led care as expressed in current policy and practice. We argue that current patient-led approaches hinder a focus on a deeper understanding of what patient-led care could be. Our critique focuses on how the consumerist/citizenship emphasis in current patient-led care obscures attention from a more fundamental challenge to conceptualise an alternative philosophically informed framework from where care can be led. We thus present an alternative interpretation of patient-led care that we (...) call ‘lifeworld-led care’, and argue that such lifeworld-led care is more than the general understanding of patient-led care. Although the philosophical roots of our alternative conceptualisation are not new, we believe that it is timely to re-consider some of the implications of these perspectives within current discourses of patient-centred policies and practice. The conceptualisation of lifeworld-led care that we develop includes an articulation of three dimensions: a philosophy of the person, a view of well-being and not just illness, and a philosophy of care that is consistent with this. We conclude that the existential view of well-being that we offer is pivotal to lifeworld-led care in that it provides a direction for care and practice that is intrinsically and positively health focused in its broadest and most substantial sense. (shrink)