The question as to whether there are mathematical explanations of physical phenomena has recently received a great deal of attention in the literature. The answer is potentially relevant for the ontology of mathematics; if affirmative, it would support a new version of the indispensability argument for mathematical realism. In this article, I first review critically a few examples of such explanations and advance a general analysis of the desiderata to be satisfied by them. Second, in an attempt to strengthen the (...) realist position, I propose a new type of example, drawing on probabilistic considerations. 1 Introduction2 Mathematical Explanations2.1 ‘Simplicity’3 An Average Story: The Banana Game3.1 Some clarifications3.2 Hopes and troubles for the nominalist3.3 New hopes?3.4 New troubles4 Conclusion. (shrink)

Arguing for mathematical realism on the basis of Field’s explanationist version of the Quine–Putnam Indispensability argument, Alan Baker has recently claimed to have found an instance of a genuine mathematical explanation of a physical phenomenon. While I agree that Baker presents a very interesting example in which mathematics plays an essential explanatory role, I show that this example, and the argument built upon it, begs the question against the mathematical nominalist.

I identify and characterize a type of noncausal explanation in physics. I first introduce a distinction, between the physical properties of a system, and the representational properties of the mathematical expressions of the system’s physical properties. Then I introduce a novel kind of property, which I shall call a dual property. This is a special kind of representational property, one for which there is an interpretation as a physical property. It is these dual properties that, I claim, are amenable to (...) noncausal (mathematical, in fact) explanations. I discuss a typical example of such a dual property, and an example of an explanation as to why that dual property holds (the explanation of the quantization of the linear momentum). (shrink)

What is the role of bridge laws in inter-theoretic relations? An assumption shared by many views about these relations is that bridge laws enable reductions. In this article, I acknowledge the naturalness of this assumption, but I question it by presenting a context within thermal physics (involving phase transitions) in which the bridge laws, puzzlingly, seem to contribute to blocking the reduction.

Can there be mathematical explanations of physical phenomena? In this paper, I suggest an affirmative answer to this question. I outline a strategy to reconstruct several typical examples of such explanations, and I show that they fit a common model. The model reveals that the role of mathematics is explicatory. Isolating this role may help to re-focus the current debate on the more specific question as to whether this explicatory role is, as proposed here, also an explanatory one.

In his Remarks on the Foundations of Mathematics, Wittgenstein claims, puzzlingly, that ‘the proof creates a new concept’ (RFM III-41). This paper aims to contribute to clarifying this idea, and to showing how it marks a major break with the traditional conception of proof. Moreover, since the most natural way to understand his claim is open to criticism, a secondary goal of what follows is to offer an interpretation of it that neutralizes the objection. The discussion proceeds by analysing a (...) well-known geometrical proof. (shrink)

Suppose we are asked to draw up a list of things we take to exist. Certain items seem unproblematic choices, while others (such as God) are likely to spark controversy. The book sets the grand theological theme aside and asks a less dramatic question: should mathematical objects (numbers, sets, functions, etc.) be on this list? In philosophical jargon this is the ‘ontological’ question for mathematics; it asks whether we ought to include mathematicalia in our ontology. The goal of this work (...) is to answer this question in the affirmative, by drawing on considerations on the the applicability of mathematics to natural science. (shrink)

In spite of its dominance, there are well-known problems with Rawls’s method of reflective equilibrium (MRE), as a method of justification in meta-ethics. One issue in particular has preoccupied commentators, namely, the capacity of this method to provide a convincing account of the objectivity of our moral beliefs. Call this the Lack-of-Objectivity Charge. One aim of this article is to examine the charge within the context of Rawls’s later philosophy, and I claim that the lack-of-objectivity charge remains unanswered. A second (...) aim of this article is to examine the extent to which, despite Rawls’s express intention to avoid reliance on Kant’s moral philosophy, supplementing Rawls’s political constructivism with some Kantian elements, in particular Kant’s idea of a universal principle of right, not only addresses some of the issues raised by the lack-of-objectivity charge, but also does so without compromising the ability of the Rawlsian account to accommodate the pluralism of conceptions of the good, which he takes to be a fact of modern democracies. I argue for a revised justificatory methodology, which combines Rawls’s MRE and Kant’s Critical Method. (shrink)

The Principle of Indifference is a central element of the ‘classical’ conception of probability, but, for all its strong intuitive appeal, it is widely believed that it faces a devastating objection: the so-called (by Poincare´) ‘Bertrand paradoxes’ (in essence, cases in which the same probability question receives different answers). The puzzle has fascinated many since its discovery, and a series of clever solutions (followed promptly by equally clever rebuttals) have been proposed. However, despite the long-standing interest in this problem, an (...) important assumption, necessary for its generation, has been overlooked. My aim in this paper is to identify this assumption. Since what it claims turns out to be prima facie problematic, I will urge that the burden of proof now shifts to the objectors to PI; they have to provide reasons why this assumption holds. (shrink)

I present a reconstruction of Eugene Wigner’s argument for the claim that mathematics is ‘unreasonable effective’, together with six objections to its soundness. I show that these objections are weaker than usually thought, and I sketch a new objection.

The paper argues that the phenomenon of first-order phase transitions (e.g., freezing) has features that make it a candidate to be classified as 'emergent'. However, it cannot be described either as 'weakly emergent' or 'strongly emergent'; hence it escapes categorization in terms employed in the current literature on the metaphysics of science.

Steiner defines naturalism in opposition to anthropocentrism, the doctrine that the human mind holds a privileged place in the universe. He assumes the anthropocentric nature of mathematics and argues that physicists' employment of mathematically guided strategies in the discovery of quantum mechanics challenges scientists' naturalism. In this paper I show that Steiner's assumption about the anthropocentric character of mathematics is questionable. I draw attention to mathematicians' rejection of what Maddy calls ‘definabilism’, a methodological maxim governing the development of mathematics. I (...) contend that because definabilism is anthropocentric, its rejection casts doubts on Steiner's assumption. (shrink)

The paper discuses whether the mathematical singularities characterizing first-order phase transitions are 'fictions'.

The secular interpretation of Kant is widespread and Kant is viewed as the most prestigious founding father of liberal secularism. At the same time, however, commentators note that Kant’s position on secularism is in fact much more complex, and some go as far as to talk about an ambiguous secularism in his work. This paper defends a refined version of the secular interpretation. According to this refined version, Kant can offer a limited, political secularism on the basis of a simple (...) argument which focuses on the distinct epistemic statuses of political and religious claims; however, the paper argues, a more general secularism is unwarranted on the basis of the same argument. If my argument is correct, then it will account at least in part for the plurality of interpretations. Moreover, any further attempt to show that Kant’s relation to secularism is ambiguous or dismissive should take into consideration the argument from epistemic grounds presented here. (shrink)

Throughout the history of philosophical thinking, ethics has almost never been associated with ontology because the moral approach is about the action while the ontological approach is about the being. The prospective approach confers to moral philosophy a genuine ontological direction, an ontology of the human, since it aims at identifying the problems of (human) existence, which no longer describes “what should be” but mostly “what can be”, thus anticipating the ways of human existence in a future world.The challenges raised (...) by disruptive innovations and the environmental issue require the critical eye of moral philosophy regarding the impact of technological progress is having in redefining the human condition of tomorrow’s society; all the more so as we are facing a regrettable backwardness of moral progress, which does not seem to keep pace with the spectacular changes in science and technology. The wisdom of ethical reflection refers to a feeling of concern for both present and future humanity as a whole,relating not only to immediate reality but, especially, anticipating what might happen. (shrink)

A critical approach on tolerance can be done as an endeavor to asset its rational arguments brought in its support or/and as a justification of its moral value within the process of human being completion. The commitment to such critical task is more necessary as it is unyieldingness summon in contemporary debates in political religious and, especially moral contexts, it has been equally valorized and contested. The most remarkable analyses of this rather summary rubric for many and often contradictory connotations, (...) then concept, underline the idea that a limit-matter is at stake: can be tolerated the intolerable? Because these boundaries are hard to be distinguished the critical position intellectually reasonable seems to be that of examining if is not more socially profitable and morally justifiable to be tolerant rather than intolerant.Developing possible arguments for and against the universal value of tolerance, critical discourse imposes a very meaningful statement: to uphold our humanity, even the demand for our right to intolerance must be done within the framework and with the means of tolerance. (shrink)

Derrida dice en más de una oportunidad que la cuestión de los demás vivientes, de lo otro que lo humano, ha inquietado siempre su escritura, aún cuando no fuera tema explícito de sus formulaciones. Este trabajo busca abordar esta aseveración como una ocasión para interrogar si tal inquietud se inscribió de manera semejante en todos los casos, o si acaso a los distintos tópicos, interlocutores y, en suma, texturas que atraviesa la escritura derridiana, no siguen impactos filosóficos relevantes para el (...) enfoque de tal problema. Para ello se reelerá _La voz y el fenómeno_ a la luz de las principales tesis del plantismo tal como lo desarrollan M. Marder y J. T. Nealon, a sabiendas no obstante que las plantas no suelen constituir los vivientes no humanos a los que se refiere Derrida. En este sentido, y sin pretender mostrar un supuesto solapamiento o develar lo que en verdad Derrida habría _querido-decir_, la presente investigación busca examinar una serie de herramientas que nos parecen particularmente interesantes para abordar la subjetividad desde una perspectiva postmetafísica. (shrink)

Este artículo tiene como propósito principal investigar la famosa sentencia derridiana “il n’y a pas de hors-texte”, que como sabemos entró a significar una especie de slogan de época. En función de este propósito, realizamos un examen del contexto de aparición más inmediato de la mentada frase, estudiamos sus condiciones de recepción y problematizamos el sentido de “texto” y “escritura” en el pensamiento derridiano. Como mostramos, estas nociones no se vinculan con ninguna “hiperbolización” del lenguaje, sino más bien su ruina.

The past three decades have witnessed the emergence, at the forefront of political thought, of several Kantian theories. Both the critical reaction to consequentialism inspired by Rawlsian constructivism and the universalism of more recent theories informed by Habermasian discourse ethics trace their main sources of inspiration back to Kant's writings. Yet much of what is Kantian in contemporary theory is formulated with more or less strict caveats concerning Kant's metaphysics. These range from radical claims that theories of justice must be (...) political, not metaphysical, to more cautious calls for replacing Kant's metaphysics with a more modest ontology, for instance, one informed by the relatively recent linguistic turn in philosophy. The volume will consist of thirteen state-of-the-art essays which explore the relationship between politics and metaphysics in Kant and Kantian political philosophy. All essays will be published for the first time in this volume and will be preceded by an Introduction from the editors. Given the current "legitimation crisis" of modern liberal democracies, the purpose of the collection as a whole is to revisit the question concerning the role of metaphysics in moral and political philosophy and to suggest new perspectives on the question of legitimation. (shrink)

Some of the post-socialist countries of Europe experienced after the fall of communism what some called a religious revival. Anthropologists and sociologists alike were sure that they discovered serious evidence against the case of secularization theory. What unfortunately most of them failed to observe was the particular shape and form of this religious growth and the structural changes of the religious mentalities occurred in the process of transition from a closed, ideologically monopolized society, to a pluralistic one. After more than (...) half of a century of atheistic ideologization of the public sphere, Romania remains one of the most religious countries of both Eastern and Western Europe. The thesis of this article is that this fact is due to the lack of modernization of the Romanian social system both before and during the post-socialist period. (shrink)

In this paper I reconstruct and critically examine the reasoning leading to the famous prediction of the ‘omega minus’ particle by M. Gell-Mann and Y. Ne’eman (in 1962) on the basis of a symmetry classification scheme. While the peculiarity of this prediction has occasionally been noticed in the literature, a detailed treatment of the methodological problems it poses has not been offered yet. By spelling out the characteristics of this type of prediction, I aim to underscore the challenges raised by (...) this episode to standard scientific methodology, especially to the traditional deductive-nomological account of prediction. (shrink)

In his early writings, Kant regarded the autonomy of the will as the supreme principle of morality, as well as the sole principle of all moral laws and of the duties conforming to them. Nevertheless, this impressively sounding principle gradually disappeared from the later Kant’s texts, and there is not much in the literature to explain why. Pauline Kleingeld’s purpose, in the two articles I consider here, is to address this lacuna and to show that there are good philosophical reasons (...) for this principle’s gradual disappearance from the Kantian framework. One of my aims, in this paper, is to formulate and argue for several reservations about Kleingeld’s argument; however, even if these reservations turn out to be apposite, my claim is not that Kant did not actually abandon the Principle of Autonomy; instead, I argue that, even if Kleingeld were right and Kant had abandoned the Principle of Autonomy, he would still not have needed to. (shrink)

This paper explores the connections between K. Wynn's well-known experiments in cognitive psychology and later Wittgenstein's views on the philosophy of mathematics.

My main aim is to sketch a certain reading (‘genealogical’) of later Wittgenstein’s views on logical necessity. Along the way, I engage with the inferentialism currently debated in the literature on the epistemology of deductive logic.

A survey of the main themes and arguments concerning symmetry and invariance in physics and philosophy of physics.

For several decades, theorists interested in Kant’s discussion of welfare have puzzled over Kant’s position on the issue of the redistribution of goods in society. They have done this both in order to clarify his position and as a source of inspiration for current conceptual problems faced by contemporary political philosophers who attempt to reconcile the ideal of equal freedom with the asymmetric interference necessary for redistribution and social provision. In this paper, I start with Kant’s brief discussion of welfare (...) in Rechtslehre and I identify four claims that Kant clearly asserts as characteristic for his view. I then outline five main interpretative directions in the literature, I evaluate and rank them. The most accurate view of Kant’s justification of welfare, which I call the “genuinely Kantian” position is, however, unable to explain the nature of the duty of welfare that it asserts. By going back to Kant’s text, I suggest one solution. This solution, together with some further questions, can be seen as initiating a new interpretative direction in the literature. (shrink)

An opinionated survey of the main topics in later Wittgenstein's philosophy of mathematics.

The paper discusses to what extent the conceptual issues involved in solving the simple harmonic oscillator model fit Wigner’s famous point that the applicability of mathematics borders on the miraculous. We argue that although there is ultimately nothing mysterious here, as is to be expected, a careful demonstration that this is so involves unexpected difficulties. Consequently, through the lens of this simple case we derive some insight into what is responsible for the appearance of mystery in more sophisticated examples of (...) the Wigner problem. (shrink)

During the last two decades, the intra-industry trade between western companies and former socialist enterprises in Central and Eastern Europe gradually shifted from the subcontracting of marginal operations such as final assembly to the outsourcing of products and intermediate inputs. To further enhance their competitiveness, firms in Central and Eastern Europe have yet to take one more step forward: integrate services with manufacturing. Developing such capabilities hinges, aside from intensive training and learning on the existence of functional interactive knowledgebased innovation (...) systems. Whereas Central and East European economies exhibit conspicuous weaknesses in this last respect, they still possess a countervailing advantage that is apt to lure foreign investors into the region: lower wage rates relative to western countries across all industries and skill levels. Offshoring therefore seems to be the most appropriate means to reconcile the two sides of the coin. (shrink)

In keeping with an already entrenched paradigm, international trade in tasks exerts upward pressure upon skilled workers’ wages in both home and host countries. Yet certain empirical evidence from intra-European trade shows that sometimes things occur in reverse, that is high skilled workers’ wages in home countries may decline as a result of offshoring, an outcome that looks like an inverse “maquiladora effect”. I try to show that such deviations do not fly in the face of mainstream theory but rather, (...) they reflect the different conditions under which offshoring is performed today as compared to the ones prevailing two decades ago. (shrink)

Name der Zeitschrift: Kant-Studien Jahrgang: 107 Heft: 1 Seiten: 2-33.

I argue that a recent version of the doctrine of mathematical naturalism faces difficulties arising in connection with Wigner's old puzzle about the applicability of mathematics to natural science. I discuss the strategies to solve the puzzle and I show that they may not be available to the naturalist.

This is the first edited collection comparing the philosophies of Kant and Sartre, an area which has received considerable attention of late. Including 10 newly written comparative essays and an introduction, focusing on metaphysics, metaethics and metaphilosophy; chapters are written by an international cast of authors specialising in the topic.

In this paper I criticize one of the most convincing recent attempts to resist the underdetermination thesis, Laudan’s argument from indirect confirmation. Laudan highlights and rejects a tacit assumption of the underdetermination theorist, namely that theories can be confirmed only by empirical evidence that follows from them. He shows that once we accept that theories can also be confirmed indirectly, by evidence not entailed by them, the skeptical conclusion does not follow. I agree that Laudan is right to reject this (...) assumption, but I argue that his explanation of how the rejection of this assumption blocks the skeptical conclusion is flawed. I conclude that the argument from indirect confirmation is not effective against the underdetermination thesis. (shrink)

The paper articulates a novel strategy against external world skepticism. It shows that a modal assumption of the skeptical argument cannot be justified.