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)

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)

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)

In a postmodern world which is extremely dynamic and anchored in a communication that requires online accesses in almost all fields, the training and preparation of young generations is required to be carried out in such a way that the acquisition of practical skills should be reflected in their future activities. Along with the other forms of training, physical training is a defining part of those who are part of the military environment. There are various aspects when, in the lives (...) of the military, physical training can influence the course of their military career. Moreover, the motivations of behavioral changes, either inner or external, can cause increased attention to this type of training. Military physical training is a stand-alone activity in the military environment, a basic component of military training programs. We will also highlight physical training through its importance in the context of preparing the military for participation in theatres of operations, facilitating the understanding of its role in modern conflicts and the support it can offer in achieving military tasks and objectives. Moreover, an advanced level of physical training will lead to the maximization of the psycho-moral and physical components of the combative capacities, will support the improvement and maintenance of general physical and mental health and will help to develop the capacity for resistance to stress conditions such as fatigue, fear, panic, hunger etc. (shrink)

Pauline Kleingeld has argued persuasively that Kant’s Principle of Autonomy draws an analogy between two relationships: 1) that between an individual agent and their maxim, and 2) that between a legislator and their legislation. She also suggests that Kant’s evolving views on the normative significance of popular elections made his analogy inapt, which explains its disappearance from his later writings. This comment concurs with Sorin Baiasu that the merits of Kant’s analogy were untouched by his evolving political views. (...) The analogy presupposes that when lawmakers legislate, they do so as representatives of the people, but even Kant’s mature writings posit that unelected lawmakers are representatives of the people in the necessary sense. Facts about whether a lawmaker acquired legislative authority by election, heredity, or conquest do have normative implications in the larger context of Kant’s political theory, but such facts are necessarily temporally upstream of the relation between legislator and legislation, just as facts about how an agent became rational are upstream of the relation between individual agent and maxim. Because the analogy focuses exclusively on these two relationships, it cannot be damaged by such upstream facts. Moreover, we should consider the possibility that Kant’s Principle of Autonomy compares a human will to the united general will of the people itself rather than to the will of a fallible public official or institution. On this alternative reading, it is even more clear that Kant’s evolving views on the significance of elections could have no possible relevance to the Principle of Autonomy. (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)

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.

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.

According to standard (quantum) statistical mechanics, the phenomenon of a phase transition, as described in classical thermodynamics, cannot be derived unless one assumes that the system under study is infinite. This is naturally puzzling since real systems are composed of a finite number of particles; consequently, a well‐known reaction to this problem was to urge that the thermodynamic definition of phase transitions (in terms of singularities) should not be “taken seriously.” This article takes singularities seriously and analyzes their role by (...) using the well‐known distinction between data and phenomena , in an attempt to better understand the origin of the puzzle. *Received April 2009; revised July 2009. †To contact the author, please write to: University of Cambridge, Department of History and Philosophy of Science, Free School Lane, Cambridge CB2 3RH, United Kingdom; e‐mail: [email protected]. (shrink)

The articulation of an overarching account of scientific explanation has long been a central preoccupation for the philosophers of science. Although a while ago the literature was dominated by two approaches—a causal account and a unificationist account—today the consensus seems to be that the causal account has won. In this paper, I challenge this consensus and attempt to revive unificationism. More specifically, I aim to accomplish three goals. First, I add new criticisms to the standard anti-unificationist arguments, in order to (...) motivate the need for a revision of the doctrine. Second, and most importantly, I sketch such a revised version. Then I argue that, contrary to widespread belief, the causal account and this revised unificationist account of explanation are compatible. Moreover, I also maintain that the unificationist account has priority, since a most satisfactory theory of explanation can be obtained by incorporating the causal account, as a sub-component of the unificationist account. The driving force behind this reevaluation of the received view in the philosophy of explanation is a reconsideration of the role of scientific understanding. (shrink)

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)

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)

The new mechanistic philosophy is divided into two largely disconnected projects. One deals with a metaphysical inquiry into how mechanisms relate to issues such as causation, capacities and levels of organization, while the other deals with epistemic issues related to the discovery of mechanisms and the intelligibility of mechanistic representations. Tudor Baetu explores and explains these projects, and shows how the gap between them can be bridged. His proposed account is compatible both with the assumptions and practices of experimental design (...) in biological research, and with scientifically accepted interpretations of experimental results. (shrink)

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)

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.

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.

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

Constitutivism aims to justify substantial normative standards as constitutive of practical reason. In this way, it can defend the constructivist commitment to avoiding realism and anti-realism in normative disciplines. This metaphysical debate is the perspective from which the nature of the constitutivist justification is usually discussed. In this paper, I focus on a related, but distinct, debate. My concern will not be whether the substantial normative claims asserted by the constructivist have some elements, which are not constructed, but real, given (...) independently from us; instead, my concern will be more narrowly epistemic – whether those claims can be derived from premises, which are normatively less substantial than the normative conclusions themselves. I focus on Korsgaard’s transcendental articulation of the constitutivist argument. I conclude that more work would need to be done, in order for this argument to function as intended. (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.

The paper argues that scientific progress is best characterized as an increase in scientists' understanding of the world. It also connects this idea with the claim that scientific understanding and explanation are captured in terms of unification.

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)

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.

This book is meant as a part of the larger contemporary philosophical project of naturalizing logico-mathematical knowledge, and addresses the key question that motivates most of the work in this field: What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science? The question about this distinctive kind of knowledge is rooted in Plato’s dialogues, and virtually all major philosophers have expressed interest in it. The essays in this collection tackle this important philosophical (...) query from the perspective of the modern sciences of cognition, namely cognitive psychology and neuroscience. _Naturalizing Logico-Mathematical Knowledge _contributes to consolidating a new, emerging direction in the philosophy of mathematics, which, while keeping the traditional concerns of this sub-discipline in sight, aims to engage with them in a scientifically-informed manner. A subsequent aim is to signal the philosophers’ willingness to enter into a fruitful dialogue with the community of cognitive scientists and psychologists by examining their methods and interpretive strategies. (shrink)

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)

In this volume, Sorin Sabou explores the dependency of happiness on external goods in Aristotle's Nicomachean Ethics. Sabou defends the following thesis: the dependency of happiness on external goods, in EN, is interpreted in the light of its political self-sufficiency, and in the light of our political humanity; this dependency is of three kinds: (1) enhancing-instrumental, (2) constitutive, and (3) subsistent.

Current debates surrounding the virtues and shortcomings of randomization are symptomatic of a lack of appreciation of the fact that causation can be inferred by two distinct inference methods, each requiring its own, specific experimental design. There is a non-statistical type of inference associated with controlled experiments in basic biomedical research; and a statistical variety associated with randomized controlled trials in clinical research. I argue that the main difference between the two hinges on the satisfaction of the comparability requirement, which (...) is in turn dictated by the nature of the objects of study, namely homogeneous or heterogeneous populations of biological systems. Among other things, this entails that the objection according to which randomized experiments fail to provide better evidence for causation because randomization cannot guarantee comparability is mistaken. (shrink)

In his masterful essay, “Armchair Knowledge: Some Kantian Reflections”, A.W. Moore claims that Kant lapses into contradiction as a result of invoking transcendental idealism as a solution to the puzzle of what Moore calls “armchair knowledge”. Moore talks about “the incoherence of transcendental idealism” and, through a discussion which includes the question of whether different subjects possess different categories, offers an account of armchair knowledge without transcendental idealism. He suggests we should abandon the Kantian a priori intuitions and, with them, (...) also Kant’s synthetic a priori judgements. In this paper, I examine some of the problems identified by Moore in Kant’s account. I do not aim to show that there is no internal inconsistency in Kant’s thought or that Moore (perhaps continuing in this way Kant’s project of uncovering the deceptions of transcendental judgements) might not be right to point to potential problems in Kant’s texts; my claim is rather that there are resources in the Kantian corpus to explain away the main contradictions and conflicts Moore identifies in Kant. (shrink)

Both clinical research and basic science rely on the epistemic practice of extrapolation from surrogate models, to the point that explanatory accounts presented in review papers and biology textbooks are in fact composite pictures reconstituted from data gathered in a variety of distinct experimental setups. This raises two new challenges to previously proposed mechanistic-similarity solutions to the problem of extrapolation: one pertaining to the absence of mechanistic knowledge in the early stages of research and the second to the large number (...) of extrapolations underpinning explanatory accounts. An analysis of the strategies deployed in experimental research supports the conclusion that while results from validated surrogate models are treated as a legitimate line of evidence supporting claims about target systems, the overall structure of research projects also demonstrates that extrapolative inferences are not considered definitive or sufficient evidence, but only partially justified hypotheses subjected to further testing. 1 Introduction2 Surrogate Models2.1 What exactly is a surrogate model?2.2 Why use surrogate models?3 Prior Validation of Surrogate Models3.1 The validation and ranking of surrogate models in the early stages of basic research3.2 The validation of surrogate models in later stages of basic research and in clinical research4 ‘Big Picture’ Accounts and the Extrapolations Underpinning Them4.1 The mosaic nature of mechanistic descriptions in basic science4.2 Challenges for mechanistic-similarity-based validation protocols5 Retrospective Testing of Extrapolated Knowledge5.1 Holistic confirmation5.2 Fallback strategies6 Conclusions. (shrink)

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

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)

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)

The paper discusses methodological guidelines for evaluating mechanistic explanations. According to current accounts, a satisfactory mechanistic explanation should include all of the relevant features of the mechanism, its component entities and activities, and their properties and organization, as well as exhibit productive continuity. It is not specified, however, how this kind of mechanistic completeness can be demonstrated. I argue that parameter sufficiency inferences based on mathematical model simulations provide a way of determining whether a mechanism capable of producing the phenomenon (...) of interest can be constructed from mechanistic components organized, acting, and having the properties described in the mechanistic explanation. (shrink)

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

Factivism is the view that understanding why a natural phenomenon takes place must rest exclusively on (approximate) truths. One of the arguments for nonfactivism—the opposite view, that falsehoods can play principal roles in producing understanding—relies on our inclination to say that past, false, now superseded but still important scientific theories (such as Newtonian mechanics) do provide understanding. In this paper, my aim is to articulate what I take to be an interesting point that has yet to be discussed: the natural (...) way in which nonfactivism fits within the unificationist account of scientific explanation. I contend that unificationism gives non-factivists a better framework to uphold their position. After I show why this is so, toward the end of the paper I will express doubts with regard to the viability of de Regt’s (2015) kind of non-factivism, based on the idea that understanding should be captured in terms of (scientific) skill. (shrink)

The paper discusses the emergence of Frege's puzzle and the introduction of the celebrated distinction between sense and reference in the context of Frege's logicist project. The main aim of the paper is to show that not logicism per se is mainly responsible for this introduction, but Frege's constant struggle against formalism. Thus, the paper enlarges the historical context, and provides a reconstruction of Frege's philosophical development from this broader perspective.

Immanuel Kant's work continues to be a main focus of attention in almost all areas of philosophy. The significance of Kant's work for the so-called continental philosophy cannot be exaggerated, although work in this area is relatively scant. The book includes eight chapters, a substantial introduction and a postscript, all newly written by an international cast of well-known authors. Each chapter focuses on particular aspects of a fundamental problem in Kant's and post-Kantian philosophy, the problem of the relation between the (...) world and transcendence. Chapters fall thematically into three parts: sensibility, nature and religion. Each part starts with a more interpretative chapter focusing on Kant's relevant work, and continues with comparative chapters which stage dialogues between Kant and post-Kantian philosophers, including Martin Heidegger, Hannah Arendt, Jean-François Lyotard, Luce Irigaray and Jacques Derrida. A special feature of this volume is the engagement of each chapter with the work of the late British philosopher Gary Banham. The Postscript offers a subtle and erudite analysis of his intellectual trajectory, philosophy and mode of working. The volume is dedicated to his memory. (shrink)

In his recent book,The Evolution of Modern Metaphysics, Adrian W. Moore takes Kant to play a crucial role in the evolution of modern philosophy; yet, for him, Kant’s metaphysics is ultimately and profoundly unsatisfactory. In this article, I examine several of Moore’s objections and provide replies. My claim is that Moore’s reading points to fundamental issues, yet these are not issues of Kant’s transcendental idealism, but of the traditional idealism his view has often been taken to represent.

A survey of models in immunology is conducted and distinct kinds of models are characterized based on whether models are material or conceptual, the distinctiveness of their epistemic purpose, and the criteria for evaluating the goodness of a model relative to its intended purpose. I argue that the diversity of models in interdisciplinary fields such as immunology reflects the fact that information about the phenomena of interest is gathered from different sources using multiple methods of investigation. To each model is (...) attached a description specifying how information about a phenomenon of interest has been acquired, highlighting points of commonality and difference between the methodological and epistemic histories of the information encapsulated in different models. These points of commonality and difference allow investigators to integrate findings from different models into more comprehensive explanatory accounts, as well as to troubleshoot anomalies and faulty accounts by going back to the original building blocks. (shrink)

The Dignity of the Children according to the New Testament teaching should be a landmark for modern era. New Testament raised the dignity of the unborn child, from a simple mass of cells to a child who has the right to be born and live. The child born has the value of a person that to enjoy family and society not only for economic potential but for the soul value as they bear the image of God. Children of different ages (...) have the right to be baptized, have access to the grace of the Sacraments and become saints. In fact the true dignity of man is his power to become a saint. And the child is the image of the saint, heir of the Heaven. (shrink)

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)

An important strategy in the discovery of biological mechanisms involves the piecing together of experimental results from interventions. However, if mechanisms are investigated by means of ideal interventions, as defined by James Woodward and others, then the kind of information revealed is insufficient to discriminate between modular and non-modular causal contributions. Ideal interventions suffice for constructing webs of causal dependencies that can be used to make some predictions about experimental outcomes, but tell us little about how causally relevant factors are (...) organized together and how they interact with each other in order to produce a phenomenon. I argue that lab research relies on more elaborated types of interventions targeting in a controlled fashion multiple variables at the same time in order to probe the temporal organization of causally-relevant factors along distinct causal pathways and to test for non-modular interaction effects, thus providing crucial spatial-temporal constraints guiding the formulation of more detailed mechanistic explanations. (shrink)

The traditionalist interpretation of Kant's idealism reads his Critical philosophy as a version of traditional idealism, à la Berkeley. By contrast, a revolutionary account of Kant will assert the threefold distinction between states of mind, external objects of the world and things in themselves, and will reject the attempt to reduce external objects to states of mind. In this paper, I argue that, while Caird's interpretation is clearly not traditionalist, nor is it obviously revolutionary: he is critical of Kant's threefold (...) distinction, although he fully acknowledges Kant's attempt to uphold this distinction. While arguing for this claim, the paper will examine several classical objections to Kant's Critical philosophy, including the view that things in themselves should be rejected and that Kant's system lacks the unity necessary to account for the variety of distinctions he introduces, including the distinction between phenomena and noumena. (shrink)

The paper rebuts a currently popular criticism against a certain take on the referential role of discontinuities and singularities in the physics of first-order phase transitions. It also elaborates on a proposal I made previously on how to understand this role within the framework provided by the distinction between data and phenomena.