What does it mean to be real? Could reality, taken in itself, have a sense? Or, can a reality different from and independent of any thinking possess sense? But if thinking were not of reality, would it still be able to be as such? Furthermore, is all genuine thinking in some sense unreal? The present essay addresses these issues. However, first of all, certain definitions are necessary, the most controversial being, undoubtedly, that of reality. Let us begin by trying to (...) establish the boundaries of the real, so as to be in a position to discover if there is some possibility of transcending them. (shrink)

Is not trying to define uniqueness somehow an aberration? Any definition implies a determination and an expression ; how is it possible to determine that which resembles no other thing and to express something that has no other expression but its own? A definition is a general form of thinking, a form that includes a generality; the larger this generality, the more valuable the definition. Thus, how could we hope it to include the unique, which is so unlike everything else (...) that it cannot be contained in any generalization, and which, coinciding with the universal, breaks the particular/general relation? Since these two terms are not able to account for the unique, this one is not to be treated as a concept, but as an idea. Further, it is not too great an effort to recognize that the idea of the unique stems from the idea of the One. But who can define the One except by a tautology? (shrink)

This book discusses the concept of immanent critique, i. e. whether there is a form of critique which neither just applies empirically accepted standards nor independently justified norms but rather reconstructs norms which are immanent to social practices. -/- It surveys both political theories of criticism (Walzer, Taylor, MacIntyre) and contemporary critical theories (Habermas, Honneth) for how they describe such forms of critique and develops a new model of immanent critique. For this purpose, it takes up both contemporary social ontology (...) theories and the discussion about rule-following. The book argues that we can speak of immanent rules as far as persons can practically recognize each other as members of rule-governed practices if they attribute each other defeasible normative authority. -/- Finally, it describes the consequences of the adoption of such a model for our description of a practice of critique and analyzes both first-order immanent critique and the second-order critique of reification. (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)

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)

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)

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.

An introduction to contemporary metaethics.

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.

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.

Over the last decade, AI models of language and word meaning have been dominated by what we might call a statistics-of-occurrence, strategy: these models are deep neural net structures that have been trained on a large amount of unlabeled text with the aim of producing a model that exploits statistical information about word and phrase co-occurrence in order to generate behavior that is similar to what a human might produce, or representations that can be probed to exhibit behavior similar to (...) what a human might produce (meaningsemblant behavior). Examples of what we can call Statistics-of-Occurrence Models (SOMs) include: Word2Vec (CBOW and Skip-Gram), BERT, GPT-3, and, most recently, ChatGPT. Increasingly, there have been suggestions that such systems have semantic understanding, or at least a proto-version of it. This paper argues against such claims. I argue that a necessary condition for a system to possess semantic understanding is that it function in ways that are causally explainable by appeal to its semantic properties. I then argue that SOMs do not plausibly satisfy this Functioning Criterion. Rather, the best explanation of their meaning-semblant behavior is what I call the Statistical Hypothesis: SOMs do not themselves function to represent or produce meaningful text; they just reflect the semantic information that exists in the aggregate given strong correlations between word placement and meaningful use. I consider and rebut three main responses to the claim that SOMs fail to meet the Functioning Criterion. The result, I hope, is increased clarity about why and how one should make claims about AI systems having semantic understanding. (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)

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)

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.

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.

Philosophy and Phenomenological Research, Volume 104, Issue 1, Page 243-249, January 2022.

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)

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)

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)

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 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.

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 working paper examines the notion of "immanent critique", a central methodological commitment of critical theories of society. In the first part, I distinguish immanent critique - a critique which reconstructs norms immanent in a social practice which point beyond the normative self-understanding of its members - from both external and internal critique and examine three questions that a theory of immanent critique has to answer (a social ontological, an epistemological and a justificatory question). After surveying some of the classic (...) accounts of immanent critique in part two, I then distinguish two varieties of immanent critique, a hermeneutic and a practice-theoretic approach. Drawing on theories in recent analytic philosophy, I finally argue for a practice-theoretic approach to immanent critique that locates the relevant norms in a practice constituted by mutual recognition. (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)

It is sometimes argued that ideal theories in political philosophy are a form of ideology. This article examines arguments building on the work of Charles Mills and Raymond Geuss for the claim that ideal theories are cognitively distorting belief systems that have the effect of stabilizing unjust social arrangements. I argue that Mills and Geuss neither succeed in establishing that the content of ideal theories is necessarily cognitively defective in the way characteristic for ideologies, nor can they make plausible which (...) mechanisms ensure the alleged negative effects of the widespread acceptance of ideal theorizing. This does not mean that all hope is lost for the ideology objection, however. By turning to a second Marxian model of ideology, I argue that the ideological character of ideal theories is not so much a matter of their content, but rather of their form. Ideal theories falsely present the normative concepts that they use as semantically practice-independent and thereby block potential challenges from subordinate groups to dominant ideologies. It is therefore not the normative content of ideal theories which proves to be objectionable, but the particular role their concepts play in wider political discourse. (shrink)

According to Jürgen Habermas, his Theory of Communicative Action offers a new account of the normative foundations of critical theory. Habermas’ motivating insight is that neither a transcendental nor a metaphysical solution to the problem of normativity, nor a merely hermeneutic reconstruction of historically given norms, is sufficient to clarify the normative foundations of critical theory. In response to this insight, Habermas develops a novel account of normativity, which locates the normative demands of critical theory within the socially instituted practice (...) of communicative understanding. Although Habermas has claimed otherwise, this new foundation for critical theory constitutes a novel and innovative form of “immanent critique.” To argue for and to clarify this claim, I offer, in section 1, a formal account of immanent critique and distinguish between two different ways of carrying out such a critique. (shrink)

In this paper I examine the fundamental views on the nature of logical and mathematical truth of both Frege and Carnap. I argue that their positions are much closer than is standardly assumed. I attempt to establish this point on two fronts. First, I argue that Frege is not attempting to defend metaphysical theses. Second, I argue that Carnap, where he does differ from Frege, can be seen to do so because of mathematical results proven in the early twentieth century. (...) The differences in their views are, then, not primarily philosophical differences. Also, it might be thought that Frege was interested in analyzing our ordinary mathematical notions, while Carnap was interested in the construction of arbitrary systems. I argue that this is not the case: our ordinary notions play, in a sense, an even more important role in Carnap’s philosophy of mathematics than they do in Frege’s. Finally, I address Tyler Burge’s interpretation of Frege which is in opposition to any Carnapian reading of Frege. (shrink)

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