The article intends to tackle two key questions: what solidarity means and why it is considered a valuable trait for a society to exhibit. In so doing, it aims to bridge the literature gap between solidarity’s nature and its normative value. In this article, an original hypothesis is explored, i.e. that solidarity ought to be understood in functionalist terms, and that we should want it accordingly because solidarity discharges the crucial function of societal cohesion.

Many lament that solidarity is declining, implying there is something good about it; but what is solidarity and why should we want it? Here, we defend an original functionalist re-interpretation of solidarity. Political solidarity plays a key functional role in a polity’s persistence through time. Thus, we should want institutions that foster solidarity. This paper is divided into three parts. In the first, we draw on the philosophy of biology to pinpoint what counts as a proper function, in a way (...) that is naturalistic, objective, and selective. On this aetiological account, a sharp distinction between functional needs (e.g. the pumping of blood) and functional mechanisms (e.g. the valve that pumps blood) is drawn. In the second part of the paper, we propose that solidarity should be understood as an aetiological function of society. This new conception sheds light on the widely acknowledged, yet seldom clarified connection between two common readings of solidarity: solidarity as a set of feelings of mutual kinship (its functional need), and solidarity as a set of redistributive institutions (a key functional mechanism). The third part concludes that this new functional conception of solidarity provides normative reasons to foster solidarity. (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)

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)

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 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 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)

In Western democracies, people harbor feelings of disgust or hatred for politics. Populists and technocrats even seemingly question the value of politics. Populists cry that they are not politicians and that politics is necessarily corrupt. From the opposite side, technocrats view politics as a pointless constraint on enacting the obviously right policies. Are Western democracies facing a rejection of politics? And is politics worth defending? This paper offers a vindicatory genealogy of politics, vindicating the need human beings have for this (...) practice and clarifying the extent of its contemporary rejections. To achieve these contributions, the paper connects the literatures on pragmatic genealogy and on political realism, revealing how they can complement each other. Following pragmatic genealogy, the practice of politics is vindicated, because it meets an inevitable functional need for collectively binding decision‐making. However, and importantly, political realism allows us to see that the functional mechanisms through which politics fulfills this need vary contextually and thus require careful empirical scrutiny. The paper thus dispels confusion about seeming rejections of politics by clarifying what is unavoidable, and what is revisable about politics. (shrink)

This article tackles the issue of offshore tax sheltering from the perspective of normative political realism. Tax sheltering is a pressing contemporary policy challenge, with hundreds of billions in private assets protected in offshore trusts and shell companies. Indeed, tax sheltering produces a variety of empirical dilemmas that render it a distinctive challenge for global governance. Therefore, it is crucial for normative political theorists to confront this problem. A realist approach offers three distinct advantages, elaborated in the three subsequent sections (...) of the article. First, it relaxes the theoretical burden by starting from the real practice of tax evasion rather than from an abstract theory of equality or justice. Second, this approach recognizes that sheltering is a political harm: a threat to the very maintenance of order, not just a problem of inequality or injustice. If politicians fail at such polity maintenance, realism's ethic of responsibility provides clear political reasons why they should be held accountable. Third, realism's focus on power and its acceptance of coercion open up new strategies for addressing the problem that would not be allowed by theories with a stronger emphasis on consensus. (shrink)

For political realists, legitimacy is a central requirement for the desirability of political institutions. Their detractors contend that it is either descriptive, and thus devoid of critical potential, or it relies on some moralist value that realists reject. We defend a functionalist reading of realist legitimacy: descriptive legitimacy, that is, the capacity of a political institution to generate beliefs in its right to rule as opposed to commanding through coercion alone, is desirable in virtue of its functional role. First, descriptive (...) legitimacy plays an evaluative role: Institutions can fail to convince citizens that they have a right to rule and can be ranked by how well they do so. Second, descriptive legitimacy plays a normative role, because if an institution fails to convince subjects of its right to rule, this gives them a reason not to comply with its directives, even if it satisfies philosophers’ standards for possessing such right. (shrink)

In the last decades, the environmental conditions of our planet have dramatically worsened. Consider that, for instance, due to the enormous increase of human made CO2 emissions (by about 90% since 1970), the planet’s average surface temperature has risen about 1.5 degrees Celsius since the 19th century, with most of this warming occurring in the last 35 years. As many scientists have noticed, this has hastened the melting of the glaciers and therefore brought about a rise in the sea level; (...) e... (shrink)

This is a Review of Bartolini's book "The Political".

In recent years, some political realists have argued that there is a “distinctively political normativity” which should be used when construing and justifying political theories. Among realists focusing on a distinctively political normativity, one can identify two approaches. On the “moral view,” it is explicitly acknowledged that moral norms have a role to play in political normativity. On the “non-moral view,” distinctively political normativity is understood in terms of a non-moral kind of practical normativity. The non-moral view has received severe (...) criticism, not least pertaining to its instrumental versions. Recently, however, Carlo Burelli has attempted to develop a realist account that is faithful to the non-moral view, but which is said to avoid the criticism directed against non-moral accounts in general, and the purely instrumental ones, in particular. Burelli offers a functional account of distinctively political normativity, according to which the function of providing binding collective decisions generates a normative standard that is independent of morality. Despite its many innovative features, however, we argue that it fails with regard to the most pressing concern, which is not whether functional normativity is genuine normativity, but whether it is the right normativity for its assigned role. (shrink)

Why do we remember the past and not the future? What does it mean for time to "flow"? Do we exist in time or does time exist in us? In lyric, accessible prose, Carlo Rovelli invites us to consider questions about the nature of time that continue to puzzle physicists and philosophers alike. For most readers this is unfamiliar terrain. We all experience time, but the more scientists learn about it, the more mysterious it remains. We think of it (...) as uniform and universal, moving steadily from past to future, measured by clocks. Rovelli tears down these assumptions one by one, revealing a strange universe where at the most fundamental level time disappears. He explains how the theory of quantum gravity attempts to understand and give meaning to the resulting extreme landscape of this timeless world. Weaving together ideas from philosophy, science and literature, he suggests that our perception of the flow of time depends on our perspective, better understood starting from the structure of our brain and emotions than from the physical universe. (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)

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)

We discuss the principles for a primitive, object-linguistic notion of consequence proposed by ) that yield a version of Curry’s paradox. We propose and study several strategies to weaken these principles and overcome paradox: all these strategies are based on the intuition that the object-linguistic consequence predicate internalizes whichever meta-linguistic notion of consequence we accept in the first place. To these solutions will correspond different conceptions of consequence. In one possible reading of these principles, they give rise to a notion (...) of logical consequence: we study the corresponding theory of validity by showing that it is conservative over a wide range of base theories: this result is achieved via a well-behaved form of local reduction. The theory of logical consequence is based on a restriction of the introduction rule for the consequence predicate. To unrestrictedly maintain this principle, we develop a conception of object-linguistic consequence, which we call grounded consequence, that displays a restriction of the structural rule of reflexivity. This construction is obtained by generalizing Saul Kripke’s inductive theory of truth. Grounded validity will be shown to satisfy several desirable principles for a naïve, self-applicable notion of consequence. (shrink)

This paper explores the scope and limits of rational consensus through mutual respect, with the primary focus on the best known formal model of consensus: the Lehrer–Wagner model. We consider various arguments against the rationality of the Lehrer–Wagner model as a model of consensus about factual matters. We conclude that models such as this face problems in achieving rational consensus on disagreements about unknown factual matters, but that they hold considerable promise as models of how to rationally resolve non-factual disagreements.

In this paper I analyze four so-called “principles of expertise”; that is, good epistemic practices that are normatively motivated by the epistemological literature on expert judgment. I highlight some of the problems that the four principles of expertise run into, when we try to implement them in concrete contexts of application (e.g. in science committees). I suggest some possible alternatives and adjustments to the principles, arguing in general that the epistemology of expertise should be informed both by case studies and (...) by the literature on the use of experts in science practice. (shrink)

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)

Many moral philosophers have criticized intensive animal farming because it can be harmful to the environment, it causes pain and misery to a large number of animals, and furthermore eating meat and animal-based products can be unhealthful. The issue of industrially farmed animals has become one of the most pressing ethical questions of our time. On the one hand, utilitarians have argued that we should become vegetarians or vegans because the practices of raising animals for food are immoral since they (...) minimize the overall happiness. Deontologists, on the other hand, have argued that the practices of raising animals for food are immoral because animals have certain rights and we have duties toward them. Some virtue ethicists remain unconvinced of deontic and consequentialist arguments against the exploitation of animals and suggest that a virtue-based approach is better equipped to show what is immoral about raising and using animals for food, and what is virtuous about ethical veganism. (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 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)

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.

This is a profound study of Aristotle's concept of phronesis, or practical wisdom. Carlo Natali critically reconsiders Aristotle's famous doctrine of contemplations, relating it to contemporary theories of the good life.

We study the relationships between two clusters of axiomatizations of Kripke’s fixed-point models for languages containing a self-applicable truth predicate. The first cluster is represented by what we will call ‘\-like’ theories, originating in recent work by Halbach and Horsten, whose axioms and rules are all valid in fixed-point models; the second by ‘\-like’ theories first introduced by Solomon Feferman, that lose this property but reflect the classicality of the metatheory in which Kripke’s construction is carried out. We show that (...) to any natural system in one cluster—corresponding to natural variations on induction schemata—there is a corresponding system in the other proving the same sentences true, addressing a problem left open by Halbach and Horsten and accomplishing a suitably modified version of the project sketched by Reinhardt aiming at an instrumental reading of classical theories of self-applicable truth. (shrink)

Ethical veganism is the view that raising animals for food is an immoral practice that must be stopped because of the harm it causes to the animals, the environment, and our health. Carlo Alvaro argues the only way to stop that harm is to acquire the virtues that enable us to act justly and benevolently toward animals.

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)

The article examines the development of Husserl’s early philosophy from his Habilitationsschrift to the Philosophie der Arithmetik . An attempt will be made at reconstructing the lost Habilitationsschrift . The examined sources show that the original version of the Habilitationsschrift was by far broader than the printed version, and included most topics of the PA. The article contains an extensive and detailed comparison of these texts to illustrate the changes in Husserl’s position before and after February 1890. This date is (...) taken as a turning point in his development, because of Husserl’s announcement in a letter to Carl Stumpf that he was mistaken in his basic assumption, i.e. that the analysis of the concept of Anzahl would yield a foundation for arithmetic. Some interesting conclusions in this respect can also be drawn from an unpublished lecture that Husserl held in the WS 1889/90, in which he anticipates aspects of his position hitherto deemed to belong to the last phases of the PA. (shrink)

Truth-theoretic deflationism holds that truth is simple, and yet that it can fulfil many useful logico-linguistic roles. Deflationism focuses on axioms for truth: there is no reduction of the notion of truth to more fundamental ones such as sets or higher-order quantifiers. In this paper I argue that the fundamental properties of reasonable, primitive truth predicates are at odds with the core tenets of classical truth-theoretic deflationism that I call fix, express, and quantify. Truth may be regarded as a broadly (...) logical, sui generis notion. However, this has little to do with the original aims of the deflationary theory of truth. (shrink)

Marcus William Hunt argues that when co-parents disagree over whether to raise their child (or children) as a vegan, they should reach a compromise as a gift given by one parent to the other out of respect for his or her authority. Josh Millburn contends that Hunt’s proposal of parental compromise over veganism is unacceptable on the ground that it overlooks respect for animal rights, which bars compromising. However, he contemplates the possibility of parental compromise over ‘unusual eating,’ of animal-based (...) foods obtained without the violation of animal rights. I argue for zero parental compromise, rejecting a rights-oriented approach, and propose a policy that an ethical vegan parent and a non-vegan co-parent should follow to determine how to raise their children. (shrink)

The definitive account of Aristotle's life and school This definitive biography shows that Aristotle's philosophy is best understood on the basis of a firm knowledge of his life and of the school he founded. First published in Italian, and now translated, updated, and expanded for English readers, this concise chronological narrative is the most authoritative account of Aristotle's life and his Lyceum available in any language. Gathering, distilling, and analyzing all the evidence and previous scholarship, Carlo Natali, one of (...) the world's leading Aristotle scholars, provides a masterful synthesis that is accessible to students yet filled with evidence and original interpretations that specialists will find informative and provocative. Cutting through the controversy and confusion that have surrounded Aristotle's biography, Natali tells the story of Aristotle's eventful life and sheds new light on his role in the foundation of the Lyceum. Natali offers the most detailed and persuasive argument yet for the view that the school, an important institution of higher learning and scientific research, was designed to foster a new intellectual way of life among Aristotle's followers, helping them fulfill an aristocratic ideal of the best way to use the leisure they enjoyed. Drawing a wealth of connections between Aristotle's life and thinking, Natali demonstrates how the two are mutually illuminating. For this edition, ancient texts have been freshly translated on the basis of the most recent critical editions; indexes have been added, including a comprehensive index of sources and an index to previous scholarship; and scholarship that has appeared since the book's original publication has been incorporated. (shrink)

According to the implicit commitment thesis, once accepting a mathematical formal system S, one is implicitly committed to additional resources not immediately available in S. Traditionally, this thesis has been understood as entailing that, in accepting S, we are bound to accept reflection principles for S and therefore claims in the language of S that are not derivable in S itself. It has recently become clear, however, that such reading of the implicit commitment thesis cannot be compatible with well-established positions (...) in the foundations of mathematics which consider a specific theory S as self-justifying and doubt the legitimacy of any principle that is not derivable in S: examples are Tait’s finitism and the role played in it by Primitive Recursive Arithmetic, Isaacson’s thesis and Peano Arithmetic, Nelson’s ultrafinitism and sub-exponential arithmetical systems. This casts doubts on the very adequacy of the implicit commitment thesis for arithmetical theories. In the paper we show that such foundational standpoints are nonetheless compatible with the implicit commitment thesis. We also show that they can even be compatible with genuine soundness extensions of S with suitable form of reflection. The analysis we propose is as follows: when accepting a system S, we are bound to accept a fixed set of principles extending S and expressing minimal soundness requirements for S, such as the fact that the non-logical axioms of S are true. We call this invariant component the semantic core of implicit commitment. But there is also a variable component of implicit commitment that crucially depends on the justification given for our acceptance of S in which, for instance, may or may not appear reflection principles for S. We claim that the proposed framework regulates in a natural and uniform way our acceptance of different arithmetical theories. (shrink)

Substructural logics and their application to logical and semantic paradoxes have been extensively studied. In the paper, we study theories of naïve consequence and truth based on a non-reflexive logic. We start by investigating the semantics and the proof-theory of a system based on schematic rules for object-linguistic consequence. We then develop a fully compositional theory of truth and consequence in our non-reflexive framework.

The concept of evidence has gone unanalysed in much of the current debate between proponents and critics of evidence-based medicine. In this paper I will suggest that part of the controversy rests on an understanding of the word “evidence” that is too broad, and therefore contains the contradictions that allow both camps to defend their position and charge their adversaries. I will argue that reconciling the different meanings of the word ‘evidence’ in “evidence-based medicine” should help put EBM in its (...) rightful place. (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)

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)

Science progresses through debate and disagreement, and scientific controversies play a crucial role in the growth of scientific knowledge. However, not all controversies and disagreements are progressive in science. Sometimes, controversies can be pseudoscientific; in fact, bogus controversies, and what seem like genuine scientific disagreements, can be a distortion of science set up by non-scientific actors. Bogus controversies are detrimental to science because they can hinder scientific progress and eventually bias science-based decisions. The first goal of this paper is to (...) elucidate the distinction between bogus and genuine scientific controversies and provide a qualitative methodology, based on the literature on expertise, for distinguishing between the two. We will illustrate six epistemic criteria for distinguishing bogus from genuine scientific debates in science and medicine. This heuristic strategy applies directly to scientific reports, and it relies mostly on the social structure of science. We will then apply the above criteria to a case study: the controversy over statins, which are widely prescribed drugs for reducing the level of cholesterol and preventing cardiovascular disease. (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)

Biological diversity would apparently seem the most intuitive and easily studied of all the ecological concepts. However, in practice biodiversity has suffered from great number of definitions that vary with the specific needs of the different researchers, thus making it extremely confusing as an ecological concept. In this paper, I shortly review the concept of biodiversity showing that there exists a substantial ambiguity among ecologists as far as biodiversity conceptualization and evaluation is concerned. I conclude that, due to this major (...) disagreement on its very nature, biodiversity may be defined simply as a set of multivariate summary statistics for quantifying different characteristics of community structure. (shrink)