Testable predictions of quantum mechanics are invariant under time reversal. But the evolution of the quantum state in time is not so, neither in the collapse nor in the no-collapse interpretations of the theory. This is a fact that challenges any realistic interpretation of the quantum state. On the other hand, this fact raises no difficulty if we interpret the quantum state as a mere calculation device, bookkeeping past real quantum events.

In this article I will analyse Husserl’s conception of the infinite as ex- pressed in the paragraph Unendliche Mengen of his Philosophie der Arithmetik (PA). I will give a short exposition on his distinction be- tween proper and symbolic presentations and then proceed to the logi- cal distinctions that Husserl makes between finite and infinite symbolic collections. Subsequently (in section 2.3), I will discuss Husserl’s addition of surrogate presentations as a sub-type of symbolic presentations in his short treatise Zur Logik (...) der Zeichen (Semiotik). In this later text (which was originally intended as an appendix to the never published second volume of the PA) Husserl gives a more detailed account of how we can conceive of the infinite, using surrogate presentations. (shrink)

A solution to the issue of time in quantum gravity is proposed. The hypothesis that time is not defined at the fundamental level (at the Planck scale) is considered. A natural extension of canonical Heisenberg-picture quantum mechanics is defined. It is shown that this extension is well defined and can be used to describe the "non-Schrödinger regime," in which a fundamental time variable is not defined. This conclusion rests on a detailed analysis of which quantities are the physical observables of (...) the theory; a main technical result of the paper is the identification of a class of gauge-invariant observables that can describe the (observable) evolution in the absence of a fundamental definition of time. The choice of the scalar product and the interpretation of the wave function are carefully discussed. The physical interpretation of the extreme "no time" quantum gravitational physics is considered. (shrink)

As a response to the semantic and logical paradoxes, theorists often reject some principles of classical logic. However, classical logic is entangled with mathematics, and giving up mathematics is too high a price to pay, even for nonclassical theorists. The so-called recapture theorems come to the rescue. When reasoning with concepts such as truth/class membership/property instantiation, (These are examples of concepts that are taken to satisfy naive rules such as the naive truth schema and naive comprehension, and that therefore are (...) compatible with a solution to paradox cast in the logics considered below. Other notions of similar kind can be added to the list.) if one is interested in consequences of the theory that only contain mathematical vocabulary, nothing is lost by reasoning in the nonclassical framework. This article shows that this claim is highly misleading, if not simply false. Under natural assumptions, some well-established approaches to recapture are incorrect. (shrink)

In the paper we investigate typed axiomatizations of the truth predicate in which the axioms of truth come with a built-in, minimal and self-sufficient machinery to talk about syntactic aspects of an arbitrary base theory. Expanding previous works of the author and building on recent works of Albert Visser and Richard Heck, we give a precise characterization of these systems by investigating the strict relationships occurring between them, arithmetized model constructions in weak arithmetical systems and suitable set existence axioms. The (...) framework considered will give rise to some methodological remarks on the construction of truth theories and provide us with a privileged point of view to analyze the notion of truth arising from compositional principles in a typed setting. (shrink)

This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without (...) providing tools for discovering anything new. As a result, mathematical logic has had little impact on scientific practice. Therefore, this volume proposes a view of logic according to which logic is intended, first of all, to provide rules of discovery, that is, non-deductive rules for finding hypotheses to solve problems. This is essential if logic is to play any relevant role in mathematics, science and even philosophy. To comply with this view of logic, this volume formulates several rules of discovery, such as induction, analogy, generalization, specialization, metaphor, metonymy, definition, and diagrams. A logic based on such rules is basically a logic of discovery, and involves a new view of the relation of logic to evolution, language, reason, method and knowledge, particularly mathematical knowledge. It also involves a new view of the relation of philosophy to knowledge. This book puts forward such new views, trying to open again many doors that the founding fathers of mathematical logic had closed historically. (shrink)

One of the world's most renowned theoretical physicists, Carlo Rovelli has entranced millions of readers with his singular perspective on the cosmos. In Helgoland, Rovelli examines the enduring enigma of quantum theory. The quantum world Rovelli describes is as beautiful as it is unnerving. Helgoland is a treeless island in the North Sea where the 21-year-old Werner Heisenberg first developed quantum theory, setting off a century of scientific revolution. Full of alarming ideas (ghost waves, distant objects that seem to (...) be magically connected, cats that appear both dead and alive), quantum physics has led to countless discoveries and technological advancements. Today our understanding of the world is based on this theory, yet it is still profoundly mysterious. As scientists and philosophers continue to fiercly debate the theory's meaning, Rovelli argues that its most unsettling contradictions can be explained by seeing the world as fundamentally made of relationships, not substances. We and everything around us exist only in our interactions with one another. This bold idea suggests new directions for understanding the structure of reality and even the nature of consciousness. Rovelli makes learning about quantum mechanics an almost psychedelic experience. Shifting our perspective once again, he takes us on a riveting journey through the universe so we can better understand our place in it. (shrink)

This article argues for a new interpretation of the realist claim that politics is autonomous from morality and involves specific political values. First, this article defends an original normative source: functional normativity. Second, it advocates a substantive functional standard: political institutions ought to be assessed by their capacity to select and implement collective decisions. Drawing from the ‘etiological account’ in philosophy of biology, I will argue that functions yield normative standards, which are independent from morality. For example, a ‘good heart’ (...) is one that pumps blood well, and a good army is one that it is effective at exerting military force. I then interpret realism’s naturalistic conception of politics as an etiological function of social groups: namely making binding collective decisions under persistent disagreement. I conclude that political institutions should be evaluated realistically by how well they perform this task. Finally, I assess trade-offs between this functional political normativity and other moral values. I conclude that justice, fairness, freedom and equality remain obviously important concerns, but only once the basic political function is secured. (shrink)

In this paper I will discuss Edmund Husserl’s critique of Franz Brentano’s interpretation of categorical judgments as Double Judgments (Doppelurteile). This will be developed mostly as an internal critique, within the framework of the school of Brentano, and not through a direct contrast with Husserl’s own theory of judgment, as presented e.g. in the Fifth Investigation. Already during the 1890s Husserl overcame the psychologistic aspects of Brentano’s approach, advocating the importance of analysing the logical structure underlying language independently from psychology. (...) Moreover, Husserl’s critique seems to be also applicable to Bertrand Russell’s analysis, which shares an important aspect of Brentano’s theory. I will try to avoid going too deep into the various theories of judgment and keep mostly to the issue of double judgments. (shrink)

The purpose of this study is to examine the relationship between contextual work-related factors on the one hand, in terms of job demands (i.e., risk factors) and job resources (i.e., protective factors), and work-family conflict in teachers on the other. Building on the Job Demands-Resources (JD-R) model, we hypothesized that job demands, namely qualitative and quantitative workload, are positively associated with work-family conflict in teachers. Moreover, in line with the buffer hypothesis of the JD-R, we expected job resources, in terms (...) of support from supervisor, job autonomy, and participation in decision making, to affect this association, which is expected to be stronger when job resources are low. The study was conducted in an Italian secondary school. Overall, 122 teachers completed a self-report questionnaire aimed at determining work-family conflict, as well as job demands and resources. The hypothesized relationships were tested using moderated multiple regression. The results of this study largely support our predictions. First, both aspects of workload were positively associated with work-family conflict. Secondly, job resources, including support from supervisor and participation in decision making, buffered this association, which was stronger when resources were low. On the contrary, job autonomy did not buffer the association between workload and work-family conflict. Overall, the results of this study are consistent with the Job Demands-Resources model and contribute to to the understanding of work–family conflict among teachers. More specifically, our study suggests that teachers with high levels of job resources, namely support from supervisor and participation in decision making, can effectively cope with job demands, in terms of both qualitative and quantitative workload, thus preventing negative consequences such as conflict between work and family domains. Interventions aimed at preventing work-family conflict among teachers should encourage organizations to optimize the balance between job demands and resources, as well as the identification and training of the workers at risk of work-family conflict. (shrink)

ABSTRACTThis article investigates the recurring concepts emerging in a transnational social-media arena focusing on Brexit in the period immediately after the June 2016 referendum. It mainly focuse...

This article argues for a new interpretation of the realist claim that politics is autonomous from morality and involves specific political values. First, this article defends an original normative...

This monograph addresses the question of the increasing irrelevance of philosophy, which has seen scientists as well as philosophers concluding that philosophy is dead and has dissolved into the sciences. It seeks to answer the question of whether or not philosophy can still be fruitful and what kind of philosophy can be such. The author argues that from its very beginning philosophy has focused on knowledge and methods for acquiring knowledge. This view, however, has generally been abandoned in the last (...) century with the belief that, unlike the sciences, philosophy makes no observations or experiments and requires only thought. Thus, in order for philosophy to once again be relevant, it needs to return to its roots and focus on knowledge as well as methods for acquiring knowledge. Accordingly, this book deals with several questions about knowledge that are essential to this view of philosophy, including mathematical knowledge. Coverage examines such issues as the nature of knowledge; plausibility and common sense; knowledge as problem solving; modeling scientific knowledge; mathematical objects, definitions, diagrams; mathematics and reality; and more. This monograph presents a new approach to philosophy, epistemology, and the philosophy of mathematics. It will appeal to graduate students and researchers with interests in the role of knowledge, the analytic method, models of science, and mathematics and reality. (shrink)

The philosophy of mathematics of the last few decades is commonly distinguished into mainstream and maverick, to which a ‘third way’ has been recently added, the philosophy of mathematical practice. In this paper the limitations of these trends in the philosophy of mathematics are pointed out, and it is argued that they are due to the fact that all of them are based on a top-down approach, that is, an approach which explains the nature of mathematics in terms of some (...) general unproven assumption. As an alternative, a bottom-up approach is proposed, which explains the nature of mathematics in terms of the activity of real individuals and interactions between them. This involves distinguishing between mathematics as a discipline and the mathematics embodied in organisms as a result of biological evolution, which however, while being distinguished, are not opposed. Moreover, it requires a view of mathematical proof, mathematical definition and mathematical objects which is alternative to the top-down approach. (shrink)

This volume contains an English translation of Edmund Husserl’s first major work, the Philosophie der Arithmetik, (Husserl 1891). As a translation of Husserliana XII (Husserl 1970), it also includes the first chapter of Husserl’s Habilitationsschrift (Über den Begriff der Zahl) (Husserl 1887) and various supplementary texts written between 1887 and 1901. This translation is the crowning achievement of Dallas Willard’s monumental research into Husserl’s early philosophy (Husserl 1984) and should be seen as a companion to volume V of the Husserliana: (...) Collected Works series (Husserl 1994b), which already contained selected translations from Hua XII. As Willard re- marks on the inner cover of the volume, it is “a window on a period of rich and illuminating philosophical activity”, to which I wholeheartedly agree. Willard’s two volumes of translations open this window on the beginnings of Husserl’s philosophy for the English-speaking world. This earliest period of Husserl’s philosophy has often been unjustly ignored and Willard provides the English reader with an excellent starting point. Husserl’s first steps into phenomenology and the philosophy of logic and mathematics contain many promising seeds that will flower later on, in the Logische Untersuchungen and beyond. (shrink)

The concept of a Mannigfaltigkeit in Husserl has been given various interpretations, due to its shifting role in his works. Many authors have been misled by this term, placing it in the context of Husserl’s early period in Halle, while writing the Philosophy of Arithmetic, as a friend and colleague of Georg Cantor.Yet at the time, Husserl distanced himself explicitly from Cantor’s definition and rather took Bernhard Riemann as example, having studied and lectured extensively on Riemann’s theories of space. Husserl’s (...) Mannigfaltigkeitslehre would then not be a Cantorian set-theory, but come rather closer to topology. Then, in the Prolegomena, Husserl introduces the idea of a pure Mannigfaltigkeitslehre as a meta-theoretical enterprise which studies the relations among theories, e.g. how to derive or found one upon another. When Husserl announces that in fact the best example of such a pure theory of manifolds is what is actually practiced in mathematics, this sounds slightly misleading. The pure theory of theories cannot simply be the mathematics underlying topology, but should rather be considered as a mathesis universalis. Indeed, while this might not have been fully clear yet in 1900/1901, Husserl will explicitly tie together the notions of pure theory of manifolds and mathesis universalis. The mathesis universalis in this sense is formal, a priori and analytic, as theory of theory in general. It is an analysis of the highest categories of meaning and their correlative categories of objects. In my paper I try to understand the development of the notion of Mannigfaltigkeit in Husserl’s thought from its mathematical beginnings to its later central philosophical role, taking into account the mathematical background and context of Husserl’s own development. (shrink)

In what follows I consider the apparent contrast between two kinds of theories of context: a theory of objective context - exemplified in the works of Kaplan and Lewis - and a theory of subjective context -exemplified in the works of McCarthy and Giunchiglia. I consider then some difficulties for the objective theory. I don't give any formalization; instead I give some theoretical points about the problem. A possible result could be the abandon of the double indexing for a development (...) a multi-context theory (I give an example of a case). However other results could be possible and a challenge is posed to solve problems using the best results from each tradition of research. (shrink)

In questa sua nuova forma il libro, mentre non cessa di rivolgersi agli studenti, acquista l'ulteriore ambizione di rivolgersi ai cultori della materia, non per cercare un loro acritico consenso, ma certamente con la speranza di dar spunti di pensiero e di discussione. Le difficoltà sono quelle proprie di una riflessione che necessariamente si allontana dal senso comune, per farci prestare attenzione a ciò che ordinariamente facciamo, senza però rendercene conto. Per questo sono da sempre convinto che non esiste in (...) filosofia un unico metodo, che dia accesso all'intera complessità del nostro operare come soggetti intelligenti. Tra quelli proposti nel secolo appena trascorso, ho trovato particolarmente proficui l'analisi linguistica del secondo Wittgenstein, utilizzato soprattutto nelle prime parti del libro, e l'analisi della intenzionalità della fenomenologia di Husserl, utilizzata soprattutto nelle sue parti centrali. (shrink)

Like every major new technology, genetic engineering is affecting the hopes and fears of many people. The risks involved are perceived differently by different groups. One group regards genetic engineering as a simple extension of older techniques with no special risks, e.g. traditional breeding. This conservative denial of special risks is confronted with a different kind of conservatism from a group which, in the name of the preservation of nature, opposes any kind of genetic engineering. A third group, rooted in (...) the liberal tradition, is prepared to accept the risks of genetic engineering as long as they are outweighed by prospective benefits. The liberal as well as the two conservative approaches, however, face serious difficulties in trying to develop a sound ethical argument concerning genetic engineering. In order to avoid these difficulties, an ethical approach focused on paradigmatic examples of good and evil is proposed. Such examples constitute rules of moral description, much as standards of measurement constitute rules of physical description. These rules are elaborated and interpreted in processes of social learning. In the present state of development of genetic engineering, such social learning requires appropriate institutional procedures. (shrink)

The universal generalization problem is the question: What entitles one to conclude that a property established for an individual object holds for any individual object in the domain? This amounts to the question: Why is the rule of universal generalization justified? In the modern and contemporary age Descartes, Locke, Berkeley, Hume, Kant, Mill, Gentzen gave alternative solutions of the universal generalization problem. In this paper I consider Locke’s, Berkeley’s and Gentzen’s solutions and argue that they are problematic. Then I consider (...) an alternative formulation of universal generalization which depends on the view that mathematical objects are individual objects and are hypotheses introduced to solve mathematical problems, and that mathematical proofs are argument schemata. I argue that this alternative formulation allows one to overcome the problems of Locke’s, Berkeley’s and Gentzen’s solutions, and is related to the approach to generality in Greek mathematics. I also argue that there is a connection between the present formulation of universal generalization and a special form of the analogy rule which is implicit in Proclus’ approach to the universal generalization problem. (shrink)

This article argues that political realists have at least two strategies to provide distinctively political normative judgements that have nothing to do with morality. The first ground is instrumental normativity, which states that if we believe that something is a necessary means to a goal we have, we have a reason to do it. In politics, certain means are required by any ends we may intend to pursue. The second ground is epistemic normativity, stating that if something is true, this (...) gives us a reason to believe it. In politics, there are certain empirical regularities that ought to be acknowledged for what they are. Both sources are flawed. Instrumental normativity only requires coherence between attitudes and beliefs, and one can hang on to false beliefs to preserve attitudes incompatible with reality. I may desire to eschew power relations, and accordingly I may imagine politics to be like a camping trip. Epistemic normativity, on the other hand, operates critically, striking down existing normative claims. It shows us that politics is nothing like a camping trip, but it doesn’t tell us what we should do about it. We conclude by showing that if the two are taken together, they remedy each other’s flaws. (shrink)

In this paper, I discuss the similarity between Wittgenstein’s use of thought experiments and Relativity Theory. I begin with introducing Wittgenstein’s idea of “thought experiments” and a tentative classification of different kinds of thought experiments in Wittgenstein’s work. Then, after presenting a short recap of some remarks on the analogy between Wittgenstein’s point of view and Einstein’s, I suggest three analogies between the status of Wittgenstein’s mental experiments and Relativity theory: the topics of time dilation, the search for invariants, and (...) the role of measuring tools in Special Relativity. This last point will help to better define Wittgenstein’s idea of description as the core of his philosophical enterprise. (shrink)

The paper attempts to give a solution to the Fitch's paradox though the strategy of the reformulation of the paradox in temporal logic, and a notion of knowledge which is a kind of ceteris paribus modality. An analogous solution has been offered in a different context to solve the problem of metaphysical determinism.

The project of growing meat artificially represents for some the next best thing to humanity. If successful, it could be the solution to several problems, such as feed- ing a growing global population while reducing the environmental impact of raising animals for food and, of course, reducing the amount and degree of animal cruelty and suffering that is involved in animal farming. In this paper, I argue that the issue of the morality of such a project has been framed only (...) in terms of the best conse- quences for the environment, animals, and humans, or in terms of deontic princi- ples. I argue that to appreciate how deep and difficult this issue is, it is necessary to consider it in terms of a virtue-oriented approach. Such an approach will reveal aspects that are not apparent, not contemplated by typical approaches, but are essen- tial to our understanding of the morality of lab-grown meat. As I argue, evaluating the issue from a virtue-oriented perspective suggests that the project of in vitro meat should not be supported because it stems from unvirtuous motivations. (shrink)

The book presents the life and personality, the scientific and philosophical work of Ludwig Boltzmann, one of the great scientists who marked the passage from 19th to 20th century physics. His rich and tragic life, ending by suicide at the age of 62, is described in detail. A substantial part of the book is devoted to discussing his scientific and philosophical ideas and placing them in the context of the second half of the 19th century. The fact that Boltzmann was (...) the man who did most to establish that there is a microscopic, atomic structure underlying macroscopic bodies is documented, as is Boltzmann's influence on modern physics, especially through the work of Planck on light quanta and of Einstein on Brownian motion. Boltzmann was the centre of a scientific revolution, and he has been proved right on many crucial issues. He anticipated Kuhn's theory of scientific revolutions and proposed a theory of knowledge based on Darwin. His basic results, when properly understood, can also be stated as mathematical theorems. Some of these have been proved; others are still at the level of likely but unproven conjectures. The main text of this biography is written almost entirely without equations. Mathematical appendices deepen knowledge of some technical aspects of the subject. (shrink)

Following the invitation of the editors of Foundations of Physics, I give here a personal assessment of string theory, from the point of view of an outsider, and I compare it with the theory, methods, and expectations of my own field.

Shannon's notion of relative information between two physical systems can function as foundation for statistical mechanics and quantum mechanics, without referring to subjectivism or idealism. It can also represent a key missing element in the foundation of the naturalistic picture of the world, providing the conceptual tool for dealing with its apparent limitations. I comment on the relation between these ideas and Democritus.

At least since Kuhn’s Structure, philosophers have studied the influence of social factors in science’s pursuit of truth and knowledge. More recently, formal models and computer simulations have allowed philosophers of science and social epistemologists to dig deeper into the detailed dynamics of scientific research and experimentation, and to develop very seemingly realistic models of the social organization of science. These models purport to be predictive of the optimal allocations of factors, such as diversity of methods used in science, size (...) of groups, and communication channels among researchers. In this paper we argue that the current research faces an empirical challenge. The challenge is to connect simulation models with data. We present possible scenarios about how the challenge may unfold. (shrink)

The main point of the paper is the claim that a strong notion of cognitive context can answer the needs of a representation of dialogue context, with a higher generality than the "normative" notion suggested by Gauker. I will discuss some well known claims in the literature about communication and context, and I will suggest giving a central role to the notion of contract or semantic bargaining and to the normative constraints of indexicals and anaphora.

In this paper I unpack a realistic conception of politics by tightly defining its constitutive features: conflict and order. A conflict emerges when an actor is disposed to impose his/her views against the resistance of others. Conflicts are more problematic than moralists realize because they emerge unilaterally, are potentially violent, impermeable to content-based reason, and unavoidable. Order is then defined as an institutional framework that provides binding collective decisions. Order is deemed necessary because individuals need to cooperate to survive, but (...) groups cannot spontaneously secure collective decisions and are prone to conflicts. Particularly, the fact that potentially violent conflicts emerge unilaterally means that order requires coercion. I conclude that mischaracterizing conflict and order leads to undesirable normative principles, and that this criticism can be leveraged not only against Rawlsian liberals who moralize conflicts away, but also against some agonists who underestimate the need for order and some communitarians who underplay both circumstances. (shrink)

It is often claimed that belief in God is based on faith, while non-belief is grounded in rationality. This claim is inaccurate. Moral philosopher Carlo Alvaro takes the reader through his philosophical journey—a journey taken with the absolute absence of faith. Through reasoning alone, and with an objective assessment of the classical theistic arguments, Deism takes the reader from disbelief to a particular version of deism. Deism discusses such arguments as the Kalam Cosmological, the asymmetry against the evil-god challenge, (...) the anthropic principle, and the moral. Such arguments lead to the undeniable conclusion that there exists a timeless, space-less, wholly good, and infinitely powerful being endowed with freedom of the will, who brought the universe into existence a finite time ago. An objective appraisal of such arguments leads to the conclusions that atheism is an irrational philosophical position, that God does not interact with humans, at least not during our physical existence on earth, and that God is the best explanation of the objectivity of moral value and duty. (shrink)

Exchange of arguments in a discussion often makes individuals more radical about their initial opinion. This phenomenon is known as Group-induced Attitude Polarization. A byproduct of it are bipolarization effects, where the distance between the attitudes of two groups of individuals increases after the discussion. This paper is a first attempt to analyse the building blocks of information exchange and information update that induce polarization. I use Argumentation Frameworks as a tool for encoding the information of agents in a debate (...) relative to a given issue a. I then adapt a specific measure of the degree of acceptability of an opinion. Changes in the degree of acceptability of a, prior and posterior to information exchange, serve here as an indicator of polarization. I finally show that the way agents transmit and update information has a decisive impact on polarization and bipolarization. (shrink)

The book is a comprehensive introduction to the work of the Estonian-German biologist Jakob von Uexküll. After a first introductory chapter by Morten Tønnessen and a second chapter on Uexküll's life and philosophical background, it contains four chapters devoted to the analysis of his main works; they are followed by a vast eighth chapter which deals with the influence Uexküll had on other philosophers and scientists, and by a conclusions focused on the possibility of updating Uexküll's work. The monograph combines (...) a careful reconstruction of the historical context in which the Uexküllian concepts emerged (the debate between mechanism and vitalism, contemporary scientific studies) and a thorough analysis of the philosophical contents of the Uexküllian views. As far as the key issue is concerned, Uexküll's notion of Umwelt refers to the perceptive and operative world which surrounds animal species; it is a subjective species-specific construction which provides living organisms with great security and behaviour stability. Moreover, the relationship that the animal carries out with its environment proves to be a complex system of semiotic interactions: its behaviour is not a set of mechanical reactions, but the result of a spontaneous attribution of meaning to the outside world, whose environmental elements are actively interpreted by the subject. The environment of animal species becomes a field of meaning, an exceedingly complex subjective elaboration; this can lessen the distance between animals and men, crediting both with the cognitive ability to grasp meanings and to use signs. (shrink)

As a response to the semantic and logical paradoxes, theorists often reject some principles of classical logic. However, classical logic is entangled with mathematics, and giving up mathematics is too high a price to pay, even for nonclassical theorists. The so-called recapture theorems come to the rescue. When reasoning with concepts such as truth/class membership/property instantiation, if ones is interested in consequences of the theory that only contain mathematical vocabulary, nothing is lost by reasoning in the nonclassical framework. It is (...) shown that this claim is highly misleading, if not simply false. Under natural assumptions, recapture claims are incorrect. (shrink)

Meaning and Context-Sensitivity Truth-conditional semantics explains meaning in terms of truth-conditions. The meaning of a sentence is given by the conditions that must obtain in order for the sentence to be true. The meaning of a word is given by its contribution to the truth-conditions of the sentences in which it occurs. What a speaker … Continue reading Meaning and Context-Sensitivity →.

This book presents the life and personality, the scientific and philosophical work of Ludwig Boltzmann, one of the great scientists who marked the passage from 19th- to 20th-Century physics. His rich and tragic life, ending by suicide at the age of 62, is described in detail. A substantial part of the book is devoted to discussing his scientific and philosophical ideas and placing them in the context of the second half of the 19th century. The fact that Boltzmann was the (...) man who did most to establish that there is a microscopic, atomic structure underlying macroscopic bodies is documented, as is Boltzmann's influence on modern physics, especially through the work of Planck on light quanta and of Einstein on Brownian motion. Boltzmann was the centre of a scientific upheaval, and he has been proved right on many crucial issues. He anticipated Kuhn's theory of scientific revolutions and proposed a theory of knowledge based on Darwin. His basic results, when properly understood, can also be stated as mathematical theorems. Some of these have been proved: others are still at the level of likely but unproven conjectures. The main text of this biography is written almost entirely without equations. Mathematical appendices deepen knowledge of some technical aspects of the subject. (shrink)

In the last few decades there has been a revival of interest in diagrams in mathematics. But the revival, at least at its origin, has been motivated by adherence to the view that the method of mathematics is the axiomatic method, and specifically by the attempt to fit diagrams into the axiomatic method, translating particular diagrams into statements and inference rules of a formal system. This approach does not deal with diagrams qua diagrams, and is incapable of accounting for the (...) role diagrams play as means of discovery and understanding. Alternatively, this paper purports to show that the view that the method of mathematics is the analytic method is capable of dealing with diagrams qua diagrams, and of accounting for such role. (shrink)

This paper applies the theory of networks to the problem of how agents should assign weights to other agents in the Lehrer-Wagner model for consensus formation. The Lehrer- Wagner theory of consensus is introduced, and the problem of weight assignment is highlighted as one of the open prob- lems for the theory. The paper argues that the application of the theory of networks to the Lehrer-Wagner model con- stitutes an interesting and fruitful option, among others, for the problem of weight (...) assignment. (shrink)

In this paper, I contend that evidence-focused strategies of science communication may be complemented by possibly more effective rhetorical arguments in current public debates on vaccines. I analyse the case of direct science communication - that is, communication of evidence - and show that it is difficult to effectively communicate evidential standards of science in the presence of well-equipped anti-science movements. Instead, I argue that effective rhetorical tools involve ad hominem strategies, that is, arguments involving claims of expertise. I provide (...) a rationale, and sketch a methodology, for using ad hominem arguments in science communication. (shrink)

In this paper I unpack a realistic conception of politics by tightly defining its constitutive features: conflict and order. A conflict emerges when an actor is disposed to impose his/her views against the resistance of others. Conflicts are more problematic than moralists realize because they emerge unilaterally, are potentially violent, impermeable to content-based reason, and unavoidable. Order is then defined as an institutional framework that provides binding collective decisions. Order is deemed necessary because individuals need to cooperate to survive, but (...) groups cannot spontaneously secure collective decisions and are prone to conflicts. Particularly, the fact that potentially violent conflicts emerge unilaterally means that order requires coercion. I conclude that mischaracterizing conflict and order leads to undesirable normative principles, and that this criticism can be leveraged not only against Rawlsian liberals who moralize conflicts away, but also against some agonists who underestimate the need for order and some communitarians who underplay both circumstances. (shrink)

The project of growing meat artificially represents for some the next best thing to humanity. If successful, it could be the solution to several problems, such as feeding a growing global population while reducing the environmental impact of raising animals for food and, of course, reducing the amount and degree of animal cruelty and suffering that is involved in animal farming. In this paper, I argue that the issue of the morality of such a project has been framed only in (...) terms of the best consequences for the environment, animals, and humans, or in terms of deontic principles. I argue that to appreciate how deep and difficult this issue is, it is necessary to consider it in terms of a virtue-oriented approach. Such an approach will reveal aspects that are not apparent, not contemplated by typical approaches, but are essential to our understanding of the morality of lab-grown meat. As I argue, evaluating the issue from a virtue-oriented perspective suggests that the project of in vitro meat should not be supported because it stems from unvirtuous motivations. (shrink)

The terms of a mathematical problem become precise and concise if they are expressed in an appropriate notation, therefore notations are useful to mathematics. But are notations only useful, or also essential? According to prevailing view, they are not essential. Contrary to this view, this paper argues that notations are essential to mathematics, because they may play a crucial role in mathematical discovery. Specifically, since notations may consist of symbolic notations, diagrammatic notations, or a mix of symbolic and diagrammatic notations, (...) notations may play a crucial role in mathematical discovery in different ways. Some examples are given to illustrate these ways. (shrink)

The goal of ethical veganism is a vegan world or, at least, a significantly vegan world. However, despite the hard work done by vegan activists, global meat consumption has been increasing (Saiidi 2019; Christen 2021). Vegan advocates have focused on ethics but have ignored the importance of tradition and identity. And the advent of veggie meat alternatives has promoted food that emulates animal products thereby perpetuating the meat paradigm. I suggest that, in order to make significant changes toward ending animal (...) exploitation, ethical vegans give more attention to tradition and identity. Furthermore, I propose that raw veganism is the most ethical diet and can be the best way to move away from animal-based food. (shrink)

Individual relativism, also known as ethical subjectivism, is an attractive theory about morality. It argues that morality is a matter relative to the individual in a way akin to personal taste. For example, subjectivists regard the ethical judgment ‘Stealing is wrong’ as comparable with the judgment of taste ‘I dislike Brussels sprouts’. Yet, subjectivism is not nihilism. While nihilism denies the existence of moral value, duties, principles and truths, subjectivism claims that they exist, but they are subjective like taste. In (...) this paper, I argue that ethical subjectivism ought to be rejected as it is an incoherent, undefendable, and a pernicious position. (shrink)

On the basis of historical and textual evidence, this paper claims that after his Tractatus, Wittgenstein was actually influenced by Einstein's theory of relativity and, the similarity of Einstein's relativity theory helps to illuminate some aspects of Wittgenstein's work. These claims find support in remarkable quotations where Wittgenstein speaks approvingly of Einstein's relativity theory and in the way these quotations are embedded in Wittgenstein's texts. The profound connection between Wittgenstein and relativity theory concerns not only Wittgenstein's “verificationist” phase , but (...) also Wittgenstein's later philosophy centred on the theme of rule‐following. (shrink)

In this article we will address the issue whether and in how far Anton Marty had a significant influence on the development of the phenomenological movement. As “the phenomenological movement” is not a clearly defined and circumscribed notion, we need to provide an appropriate context for any comparison. The phenomenological movement grew out of the School of Brentano and we take this larger whole as our starting point. Since Marty did not found his own school or movement, but remained a (...) Brentanist, it is quite difficult to identify a clear influence of Marty on the phenomenological movement that would not be intermingled with a general Brentanist background. A specifically Martian influence could perhaps mainly be found in the philosophy of language. We will look at Marty’s and Husserl’s shared background, mutual criticisms and common legacy in order to evaluate the significance of any influence there might have been. (shrink)