In set theory, a maximality principle is a principle that asserts some maximality property of the universe of sets or some part thereof. Set theorists have formulated a variety of maximality principles in order to settle statements left undecided by current standard set theory. In addition, philosophers of mathematics have explored maximality principles whilst attempting to prove categoricity theorems for set theory or providing criteria for selecting foundational theories. This article reviews recent work concerned (...) with the formulation, investigation and justification of maximality principles. (shrink)

l investigate versions of the Maximality Principles for the classes of forcings which are <κ-closed. <κ-directed-closed, or of the form Col (κ. <Λ). These principles come in many variants, depending on the parameters which are allowed. I shall write MPΓ(A) for the maximality principle for forcings in Γ, with parameters from A. The main results of this paper are: • The principles have many consequences, such as <κ-closed-generic $\Sigma _{2}^{1}(H_{\kappa})$ absoluteness, and imply. e.g., that ◇κ (...) holds. I give an application to the automorphism tower problem, showing that there are Souslin trees which are able to realize any equivalence relation, and hence that there are groups whose automorphism tower is highly sensitive to forcing. • The principles can be separated into a hierarchy which is strict, for many κ. • Some of the principles can be combined, in the sense that they can hold at many different κ simultaneously. The possibilities of combining the principles are limited, though: While it is consistent that MP<κ-closed(HκT) holds at all regular κ below any fixed α. the "global" maximality principle, stating that MP<κ-closed(Hκ ∪ {κ}) holds at every regular κ. is inconsistent. In contrast to this, it is equiconsistent with ZFC that the maximality principle for directed-closed forcings without any parameters holds at every regular cardinal. It is also consistent that every local statement with parameters from HκT that's provably <κ-closed-forceably necessary is true, for all regular κ. (shrink)

Given an uncountable regular cardinal κ, we study the structural properties of the class of all sets of functions from κ to κ that are definable over the structure 〈H,∈〉 by a Σ1-formula with parameters. It is well known that many important statements about these classes are not decided by the axioms of ZFC together with large cardinal axioms. In this paper, we present other canonical extensions of ZFC that provide a strong structure theory for these classes. These axioms are (...) variations of the Maximality Principle introduced by Stavi and Väänänen and later rediscovered by Hamkins. (shrink)

The motivation for this paper is the following: In [4] I showed that it is inconsistent with ZFC that the Maximality Principle for directed closed forcings holds at unboundedly many regular cardinals κ (even only allowing κ itself as a parameter in the Maximality Principle for < κ -closed forcings each time). So the question is whether it is consistent to have this principle at unboundedly many regular cardinals or at every regular cardinal below some large cardinal κ (...) (instead of ∞), and if so. how strong it is. It turns out that it is consistent in many cases, but the consistency strength is quite high. (shrink)

In recent years, one of the main thrusts of set-theoretic research has been the investigation of maximality principles for V, the universe of sets. The Hyperuniverse Programme (HP) has formulated several maximality principles, which express the maximality of V both in height and width. The paper provides an overview of the principles which have been investigated so far in the programme, as well as of the logical and model-theoretic tools which are needed to formulate (...) them mathematically, and also briefly shows how optimal principles, among those available, may be selected in a justifiable way. (shrink)

To hold that only one conscious thing is sitting in your chair, philosophers have appealed to maximality: If a property M is maximal, then anything that has property M does not have large proper parts that have property M. Philosophers have said that ordinary objects are maximal, including houses, cats, rocks, and have argued by analogy that consciousness is maximal. I argue that the maximality principle mistakenly excludes some members of a kind. Thus, it is not the correct (...) principle to explain why, for example, you are conscious but the proper part that is all-of-you-but-your-arm is not conscious. (shrink)

This present book explores recent advances in modeling discourse processes, in particular, new approaches aimed at understanding pathological language behavior specific to schizophrenia. The contributors examine the modeling paradigm of formal semantics, which falls within the scope of both linguistics and logic while providing overlapping links with other fields such as philosophy of language and cognitive psychology. This book is based on results presented during the series of workshops on Coherence and Discourse organized by SLAM, a project developed to systemize (...) the study of pathological language processing by taking an overarching interdisciplinary approach combining psychology, linguistics, computer science and philosophy. The principle focus is on conversations produced by people with psychiatric disorders such as schizophrenia and autism. The contributions come from young and experienced researchers, and invited speakers. The book appeals to likeminded students and researchers. (shrink)

In this paper, following an idea of Christophe Chalons. I propose a new kind of forcing axiom, the Maximality Principle, which asserts that any sentence varphi holding in some forcing extension $V^P$ and all subsequent extensions $V^{P\ast Q}$ holds already in V. It follows, in fact, that such sentences must also hold in all forcing extensions of V. In modal terms, therefore, the Maximality Principle is expressed by the scheme $(\lozenge \square \varphi) \Rightarrow \square \varphi$ , and is (...) equivalent to the modal theory S5. In this article. I prove that the Maximality Principle is relatively consistent with ZFC. A boldface version of the Maximality Principle, obtained by allowing real parameters to appear in φ, is equiconsistent with the scheme asserting that $V_\delta \prec V$ for an inaccessible cardinal δ, which in turn is equiconsistent with the scheme asserting that ORD is Mahlo. The strongest principle along these lines is $\square MP\!_{\!\!\!\!\!\!_{\!\!_\sim}}$ , which asserts that $MP\!_{\!\!\!\!\!\!_{\!\!_\sim}}$ holds in V and all forcing extensions. From this, it follows that $0^\#$ exists, that $x^\#$ exists for every set x, that projective truth is invariant by forcing, that Woodin cardinals are consistent and much more. Many open questions remain. (shrink)

The Necessary Maximality Principle for c. c. c. forcing with real parameters is equiconsistent with the existence of a weakly compact cardinal. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim).

The claim that language is in principle inaccessible to consciousness may look counterintuitive but is not as challenging as finding an answer to the subsequent question of why that must be the case -- if language is a function that is in the service of consciousness and we cannot imagine why language would have existed at all without the existence of consciousness. On the one hand, language is the cognitive capacity that seems best fit to support consciousness in its monitoring (...) and control functions; on the other hand, language learning (learning the rules of one's own language), language structure and language processing turn out upon closer scrutiny to be in principle inaccessible to consciousness. I present a set of arguments in favour of the thesis that language is in principle inaccessible to consciousness on the basis of a set of asymmetries between sentence structure and the structure of consciousness. If the thesis in question is on the right track, we have to face two basic problems. The first deals with linguistics method(s), namely how can we study a very complex mental phenomenon like language if it is not available to introspection? The second problem is related to the question put in the title of this article. The suggested answer is along the lines that inaccessibility of language to consciousness enables a cognitive architecture that can run a Cartesian theatre. (shrink)

It is standard in set theory to assume that Cantor's Theorem establishes that the continuum is an uncountable set. A challenge for this position comes from the observation that through forcing one can collapse any cardinal to the countable and that the continuum can be made arbitrarily large. In this paper, we present a different take on the relationship between Cantor's Theorem and extensions of universes, arguing that they can be seen as showing that every set is countable and that (...) the continuum is a proper class. We examine several principles based on maximality considerations in this framework, and show how some (namely Ordinal Inner Model Hypotheses) enable us to incorporate standard set theories (including ZFC with large cardinals added). We conclude that the systems considered raise questions concerning the foundational purposes of set theory. (shrink)

Faced with hate speech, oppressed groups can use their own speech to respond to their verbal oppressors. This “counterspeech,” however, sometimes itself takes on a hateful form. This paper explores the moral standing of such “hateful counterspeech.” Is there a fundamental moral asymmetry between hateful counterspeech, and the hateful utterances of dominant or oppressive groups? Or are claims that such an asymmetry exists indefensible? I argue for an intermediate position. There _is_ a key moral asymmetry between these two forms of (...) speech. But, this asymmetry notwithstanding, hateful counterspeech is capable of enacting serious harms—and so, contrary to what many legal theorists have argued, it is in principle an appropriate object of legal regulation. I begin by considering the central argument for thinking that hateful counterspeech is not seriously troubling. This argument holds that oppressed groups lack authority—and, by extension, “speaker power.” Yet this argument, I suggest, sits in tension with the fact that low-status members of dominant groups can, through their utterances, seriously harm members of oppressed groups. Philosophers of language have developed sophisticated arguments to explain this last phenomenon: they have argued that speaker power is relativised to particular jurisdictions; that it can be acquired dynamically in local settings; and that it is socially dispersed. I argue that, in light of these arguments, it appears that hateful counterspeech, too, can generate serious harms. Nevertheless, I show that this conclusion is compatible with recognising a crucial moral asymmetry between hateful counterspeech and the hate speech of oppressors. (shrink)

We study various classes of maximality principles, \\), introduced by Hamkins :527–550, 2003), where \ defines a class of forcing posets and \ is an infinite cardinal. We explore the consistency strength and the relationship of \\) with various forcing axioms when \. In particular, we give a characterization of bounded forcing axioms for a class of forcings \ in terms of maximality principles MP\\) for \ formulas. A significant part of the paper is devoted to (...) studying the principle MP\\) where \ and \ defines the class of stationary set preserving forcings. We show that MP\\) has high consistency strength; on the other hand, if \ defines the class of proper forcings or semi-proper forcings, then by Hamkins, MP\\) is consistent relative to \. (shrink)

We analyze the precise modal commitments of several natural varieties of set-theoretic potentialism, using tools we develop for a general model-theoretic account of potentialism, building on those of Hamkins, Leibman and Löwe [14], including the use of buttons, switches, dials and ratchets. Among the potentialist conceptions we consider are: rank potentialism, Grothendieck–Zermelo potentialism, transitive-set potentialism, forcing potentialism, countable-transitive-model potentialism, countable-model potentialism, and others. In each case, we identify lower bounds for the modal validities, which are generally either S4.2 or S4.3, (...) and an upper bound of S5, proving in each case that these bounds are optimal. The validity of S5 in a world is a potentialist maximality principle, an interesting set-theoretic principle of its own. The results can be viewed as providing an analysis of the modal commitments of the various set-theoretic multiverse conceptions corresponding to each potentialist account. (shrink)

In philosophical debates about immigration, one of the most prominent arguments asserts that a state’s citizenry has a right to unilaterally control its territorial borders by virtue of its right to self-determination. This is the self-determination argument. The present article demonstrates that this argument is internally undermined by the Coercion Principle, according to which all persons subjected to coercive political power are entitled to an equal say in exercising that power. First, whichever way the self-determination argument identifies the relevant self-determining (...) self, it is bound to rely on the Coercion Principle. Specifying the self politically involves appealing to the Coercion Principle, as it is a core principle of democratic theory. Alternatively, specifying a pre-political self fails to circumvent this problem, as a similar issue arises further down the argumentative line, when inferring the right to unilaterally control borders from the right to self-determination. Finally, since border controls coerce would-be immigrants, this reliance on the Coercion Principle renders the self-determination argument self-defeating. (shrink)

Le conseil d’administration du CNRS a adopté le 23 juin 2011 la charte interne de l’expertise, qui adapte aux spécificités de ses propres activités le texte de la Charte nationale de l’expertise. La charte interne du CNRS est guidée par la volonté de répondre efficacement à deux enjeux majeurs de l’expertise scientifique : la crédibilité des experts et la qualité du processus et du produit de l’expertise.The CNRS governing board adopted its internal Charter on Expert Studies on 23 June 2011, (...) which adapts the National Charter on Expert Studies to the specific features of CNRS activities. The internal CNRS Charter rests on the principle of efficient striving to address two major issues concerning scientific expert studies : the credibility of experts and the quality of expert study processes and output. (shrink)

It is often said that the ethical, political and religious writings of the later Derrida aren't phenomenological in nature. Contrary to that widespread view, the present essay argues that the central motive of all these writings - Derrida's concept of the event - is driven by the attempt to show the limits of the phenomenological concept of intentionality. This critique revolves around three key-notions: the concepts of teleology, of horizon, and the phenomenological als-Struktur. An event, Derrida maintains, has no horizon (...) and resists every teleological reappropriation, for it never appears as such. It is in that very special, Derridian sense 'im-possible'. This impossibility is nevertheless not to be understood as a logical or metaphysical impossibility, for the impossible, Derrida affirms, happens (in the case of an invention, for example) and when it happens, it leaves traces and produces manifest effects. Indeed, when an event takes place, it affects our world and provokes thereby a reconfiguration of the possible. The impossible is in that sense a condition of possibility (of the possible). This axiomatic principle of Derrida's thinking - impossibility as possibility - leads Derrida to speak occasionally of the quasi transcendental status of deconstruction. The present essay shows how his theory of the event fits in this description and why Derrida should be regarded as a quasi transcendental philosopher. (shrink)

Dans un cadre réglementaire de mise sur le marché des substances chimiques, l’information sur les risques chimiques pour la santé et l’environnement doit être généralement produite par les industriels, qui la soumettent aux agences sanitaires. L’accès du public à cette information est régulé par des dispositifs juridiques internationaux, européens et nationaux, et fondé sur les principes de transparence et de liberté d’accès et de réutilisation. Cependant, différents facteurs restreignent l’effectivité du droit à l’information et par conséquent le contrôle démocratique et (...) scientifique sur l’évaluation du risque. Les textes juridiques sont éclatés entre la législation environnementale et celle sur l’accès aux données publiques. Le droit d’accès peut être limité juridiquement pour des raisons de confidentialité et de secret industriel, des dispositions qui permettent aux entreprises de protéger leurs intérêts commerciaux mais qui peuvent être interprétés de manière arbitraire par les agences. Enfin sur le plan pratique, le manque de lisibilité du format, le langage employé et les interfaces peuvent constituer des obstacles à l’accès effectif et à la réutilisation des données.Under the regulations governing marketing authorisation for chemical substances, information on chemical risks to health and the environment generally has to be produced by the industries concerned for submission to the health agencies. Public access to this information is governed by international, European and national legal provisions, and based on the principles of transparency and the freedom to access and re-use the information. However, various factors are restricting the effectiveness of this right to information and, consequently, restricting democratic and scientific oversight of risk assessments. The relevant legal texts are split between environmental legislation and legislation on access to public data. The right of access can be legally limited on grounds of confidentiality and protection of trade secrets, under provisions that allow businesses to protect their commercial interests but which can be interpreted arbitrarily by the health agencies. Finally, on the practical level, the lack of clarity of the format, the language used and the interfaces can be an obstacle to effective access and re-use of the data. (shrink)

In spite of the work of Gödel and Cohen, which showed the undecidability of the Generalized Continuum Hypothesis from the axioms of set theory, the problem still remains to decide GCH on the basis of new axioms. It is almost 100 years since Cantor first conjectured the Continuum Hypothesis, yet we seem to be no closer to determining its truth. Nevertheless, it is a sound methodological principle that given any undecidable set-theoretical statement, we should search for “other axioms of set (...) theory which a more profound understanding of the concepts underlying logic and mathematics would enable us to recognize as implied by these concepts”. (shrink)

In the history of science, the birth of classical chemistry and thermodynamics produced an anomaly within Newtonian mechanical paradigm: force and acceleration were no longer citizens of new cited sciences. Scholars tried to reintroduce them within mechanistic approaches, as the case of the kinetic gas theory. Nevertheless, Thermodynamics, in general, and its Second Law, in particular, gradually affirmed their role of dominant not-reducible cognitive paradigms for various scientific disciplines: more than twenty formulations of Second Law—a sort of indisputable intellectual wealth—are (...) conceived after 1824 Sadi Carnot’s original statement and a multitude of entropy functions are proposed after 1865 Clausius’ former definition. Furthermore, at the end of nineteenth century, thermodynamics extended its cognitive domain to chemistry. Mainly thanks to Gibbs, a brand new discipline—chemical thermodynamics or physical chemistry—gradually affirmed its role inside the scientific community. This paper reports the former results of collaborative research program in the History and Epistemology of Science as well as Nature of Science Teaching aimed at retracing the foundations of the physical chemistry. Specifically, the research is structured in three parts: historical-epistemic reflections on fundamental thermodynamic concepts and principles—such as reversible process, heat, temperature, thermal equilibrium and Clausius’ Second Law—that play a structural role inside modern physical chemistry; panoramic overview on the entropy, whose polysemy makes it one of the most demanding concepts for scholars, teachers and students while approaching thermodynamics; conceptualization of chemical equilibrium as complex entity according to the dual epistemological approach offered by Gibbs’ thermodynamic model and the kinetic standpoint by Guldberg and Waage. In particular, the present work details an original reading of thermodynamic principles with the aim of setting forth a rationalized multidisciplinary substrate whereon the foundational concepts of reversible process and thermal equilibrium can be set. (shrink)

The paper generalizes Van McGee's well-known result that there are many maximal consistent sets of instances of Tarski's schema to a number of non-classical theories of truth. It is shown that if a non-classical theory rejects some classically valid principle in order to avoid the truth-theoretic paradoxes, then there will be many maximal non-trivial sets of instances of that principle that the non-classical theorist could in principle endorse. On the basis of this it is argued that the idea of classical (...) recapture, which plays such an important role for non-classical logicians, can only be pushed so far. (shrink)

Kant frequently speaks as if all voluntary actions arise from our maxims as the subjective principles of our practical reason. But, as Michael Albrecht has pointed out, Kant also occasionally speaks as if it is only the rare person of “character” who acts according to principles or maxims. I argue that Kant’s seemingly contradictory claims on this front result from the fact that there are two fundamentally different ways that maxims of action can figure in the deliberation of (...) the agent: an agent can act on a maxim either because it promises agreeable results or because he deems it to be an intrinsically correct principle of action. Kant describes a maxim of the latter sort as “firm” and as indicative of “character” in the honorific sense. If the agent’s commitment to his maxim is instead conditional on its agreeable results, we can say he does not act “on principle” and in that sense does not act on maxims at all: rather than aiming at a set of results because the action that produces them conforms to his maxim, he acts according to his maxim because doing so promises (and only as long as it promises) the results he desires. Such an agent thus lacks the principled maxims of a person of character since his maxims are always for sale to the highest bidder. Kant allows that an evil person can approximate the ideal of a principled indifference to results, but claims that only morally good action can be wholly principled. This is also why maxims of action in conformity with duty can be acquired gradually through habituation whereas an authentically moral maxim must instead arise from a “revolution” in thought. (shrink)

After the birth of thermodynamics’ second principle—outlined in Carnot's Réflexions sur la puissance motrice du feu —several studies provided new arguments in the field. Mainly, they concerned the thermodynamics’ first principle—including energy conceptualisation—, the analytical aspects of the heat propagation, the statistical aspects of the mechanical theory of heat. In other words, the second half of nineteenth century was marked by an intense interdisciplinary research activity between physics and chemistry: new disciplines applied to the heat developed in the form of (...) analytical, mechanical and statistical theories. Inside all these theories, entropy—the brand-new function that Clausius coined in his Mechanical theory of heat—started to play a central epistemic role. In the present paper, we analyse some steps of the historical process of conceptualisation of such function from 1850 to 1902. Particularly, we retrace the historical–foundational path that—starting from Clausius’ Second Law—lead Boltzmann and Gibbs to their distinguished formulations of statistical entropy. As usual, our research has been unrolled through the analyses of primary sources and by leaning on critical readings of the secondary literature. As for the methodological approach, text analysis of historical documents constituted our privileged modus operandi. This paper is the expression of a collaborative historical research program focused on the thermodynamic foundations of physics–chemistry relationship; early results have already been published by the same authors upon the concepts of reversibility––and––thermal equilibrium. (shrink)

I argue that, in order to address the ideal world problem while remaining faithful to our concept of morality, Contractualists should no longer determine which actions I must perform by seeing whether they accord with certain principles for the general regulation of behavior. Instead, I argue, Contractualists should determine whether it is right or wrong for me to perform an action by evaluating any maxim that might be reflected by my action. I call the resulting view “Maxim Contractualism.” It (...) states that an agent’s action is morally required just in case any maxim that he might adopt that involves not performing that action is one that someone could reasonably reject. Finally, I argue that, although Act Contractualism also provides us with the materials to solve the Ideal World Problem, it is a worse solution because it cannot account for the fact that, sometimes, what would happen if I performed an action over time is relevant to whether I am permitted to perform that action right here, right now. (shrink)

It is suggested, following a proposal made recently by Smolin, that the most fundamental law of the universe takes this form: Among the set of all possible universes compatible with an irreducibly minimal set of structural constraints, the actually realized universe is the one which maximizes a mathematically well-defined number (the variety) that measures the structural variety of the universe (in the totality of its history). This gives expression to Leibniz's idea that the actual universe gives “the greatest variety possible, (...) but with the greatest possible order.” Two models are proposed in which the idea can be realized and its consequences tested; both are discrete in nature and satisfy highly nonlocal laws. In such a scheme a unique (finite) universe is called into being by the fundamental requirement of maximal variety (for given definition of the variety), which it is conjectured could have such a powerful ordering effect that space, time, the currently known laws of physics, and the observed structure of the universe could all appear as emergent consequences of the single underlying law. (shrink)

Quantum mechanics is derived from the principle that the universe contain as much variety as possible, in the sense of maximizing the distinctiveness of each subsystem. The quantum state of a microscopic system is defined to correspond to an ensemble of subsystems of the universe with identical constituents and similar preparations and environments. A new kind of interaction is posited amongst such similar subsystems which acts to increase their distinctiveness, by extremizing the variety. In the limit of large numbers of (...) similar subsystems this interaction is shown to give rise to Bohm’s quantum potential. As a result the probability distribution for the ensemble is governed by the Schroedinger equation. The measurement problem is naturally and simply solved. Microscopic systems appear statistical because they are members of large ensembles of similar systems which interact non-locally. Macroscopic systems are unique, and are not members of any ensembles of similar systems. Consequently their collective coordinates may evolve deterministically. This proposal could be tested by constructing quantum devices from entangled states of a modest number of quits which, by its combinatorial complexity, can be expected to have no natural copies. (shrink)

In the region where some cat sits, there are many very cat-like items that are proper parts of the cat (or otherwise mereologically overlap the cat) , but which we are inclined to think are not themselves cats, e.g. all of Tibbles minus the tail. The question is, how can something be so cat-like without itself being a cat. Some have tried to answer this “Problem of the Many” (a problem that arises for many different kinds of things we regularly (...) encounter, including desks, persons, rocks, and clouds) by relying on a mereological maximality principle, according to which, something cannot be a member of a kind K if it is a large proper part of, or otherwise greatly mereologically overlaps, a K. It has been shown, however, that a maximality constraint of this type, i.e. one that restricts mereological overlap, is open to strong objections. Inspired by the insights of, especially, Sutton and Madden, I develop a type of functional-maximality principle that avoids these objections (and has other merits), and thereby provides a better answer to the Problem of the Many. (shrink)

The notion that natural selection is a process of fitness maximization gets a bad press in population genetics, yet in other areas of biology the view that organisms behave as if attempting to maximize their fitness remains widespread. Here I critically appraise the prospects for reconciliation. I first distinguish four varieties of fitness maximization. I then examine two recent developments that may appear to vindicate at least one of these varieties. The first is the ‘new’ interpretation of Fisher's fundamental theorem (...) of natural selection, on which the theorem is exactly true for any evolving population that satisfies some minimal assumptions. The second is the Formal Darwinism project, which forges links between gene frequency change and optimal strategy choice. In both cases, I argue that the results fail to establish a biologically significant maximization principle. I conclude that it may be a mistake to look for universal maximization principles justified by theory alone. A more promising approach may be to find maximization principles that apply conditionally and to show that the conditions were satisfied in the evolution of particular traits. (shrink)

The main result of this paper is a formal argument for the principle of maximizing expected utility that does not rely on the law of large numbers. Unlike the well-known arguments by Savage and von Neumann & Morgenstern, this argument does not presuppose the sure-thing principle or the independence axiom. The principal idea is to use the concept of transformative decision rules for decomposing the principle of maximizing expected utility into a sequence of normatively reasonable subrules. It is shown that (...) this procedure provides a resolution of Allais's paradox that cannot be obtained by Savage-style or von Neumann & Morgenstern-style arguments. (shrink)

This chapter contains sections titled: How Kant Answers Hegel's Formalism Charge Basic Principles versus Particular Duties: Kant and Rawls What Is My Obligation to Reduce Poverty? Social Contexts Specify the Content of Maxims Herman's Rules of Moral Salience The Humanity of Others Is Not Simply Given Developing Moral Judgment: The Case of Kant Himself The Return of Hegel.

Summary Background The principle of maximization, which roughly means that we should save more lives and more years of life, is usually taken for granted by the health community. This principle is even more forceful in crises like the COVID-19 pandemic, where we have scarce resources which can be allocated only to some patients. However, the standard consequentialist version of this principle can be challenging particularly when we have to reallocate a resource that has already been given to a patient. (...) -/- Methodology Engaging in thought experiments, conceptual analysis, providing counterexamples, and appealing to moral intuitions, we challenge the standard consequentialist version of the maximization principle and make a case for adopting an alternative deontological version. -/- Discussion In certain cases, the standard consequentialist version of the maximization principle is shown to yield intuitively immoral results. The deontological version of this principle is preferable because it can retain the merits of the standard consequentialist version without falling prey to its problems. -/- Conclusion Compared to the standard consequentialist version, the deontological version of the maximization principle can better guide the ethical decisions of the health community, even in cases where we face a scarcity of resources. (shrink)

The principle of maximal entropy (further abbreviated as “MaxEnt”) can be founded on the formal mechanism, in which future transforms into past by the mediation of present. This allows of MaxEnt to be investigated by the theory of quantum information. MaxEnt can be considered as an inductive analog or generalization of “Occam’s razor”. It depends crucially on choice and thus on information just as all inductive methods of reasoning. The essence shared by Occam’s razor and MaxEnt is for the relevant (...) data known till now to be postulated as an enough fundament of conclusion. That axiom is the kind of choice grounding both principles. Popper’s falsifiability (1935) can be discussed as a complement to them: That axiom (or axiom scheme) is always sufficient but never necessary condition of conclusion therefore postulating the choice in the base of MaxEnt. Furthermore, the abstraction axiom (or axiom scheme) relevant to set theory (e.g. the axiom scheme of specification in ZFC) involves choice analogically. (shrink)

Normative moral theories are frequently invoked to serve one of two distinct purposes: (1) explicate a criterion of rightness, or (2) provide an ethical decision-making procedure. Although a criterion of rightness provides a valuable theoretical ideal, proposed criteria rarely can be (nor are they intended to be) directly translated into a feasible decision-making procedure. This paper applies the computational framework of bounded rationality to moral decision-making to ask: how ought a bounded human agent make ethical decisions? We suggest agents ought (...) to follow moral maxims: principles that approximate rightness in many situations, but that can be overridden in specific, precisely describable circumstances. While this intuitive idea has been proposed many times before, we provide a precise model of how maxim consequentialism functions as an approximation to an act-consequentialist criterion of rightness, while maintaining the flexibility and defeasibility that has eluded most forms of rule consequentialism. Furthermore, while our overarching aim is to propose a new normative standard of moral decision-making, we demonstrate how maxim consequentialism can also function as a descriptive account of human behavior. We conclude by noting that different criteria of rightness may lead to different maxim-based ethics. (shrink)

Is there any way to reconcile the adaptationist’s image of natural selection as an engine of optimality with the more complex image of its dynamics we get from population genetics? This has long been an important strand in the controversy surrounding adaptationism, yet debate has been hampered by a tendency to conflate various different ways of thinking about maximization. Here I distinguish four varieties of maximization principle. I then discuss the logical relations between these varieties, arguing that, although they may (...) seem similar at face value, none entails any of the others. I then turn briefly to the status of each variety, arguing that, while each type of maximization principle faces serious problems, the problems are subtly different for each type. In the last section, I reflect on what is at stake in the debate. (shrink)

I argue that Kant’s Categorical Imperative should be applied to individual maxim tokens rather than abstract maxim types. The article is divided into five sections. In the first, I explain my thesis. In the second, I show that my thesis disagrees with Rawls. In the third, I argue for my thesis on the basis of the wording of the Categorical Imperative and on the basis of considerations about autonomy. In the fourth, I argue for my thesis on the basis of (...) considerations about the ‘ought implies can’ principle. In the fifth, I provide a summary of the main argumentative moves and also explain some of the philosophical advantages of my thesis. (shrink)

It is shown to be consistent with set theory that every set of reals of size ℵ1 is null yet there are ℵ1 planes in Euclidean 3-space whose union is not null. Similar results will be obtained for other geometric objects. The proof relies on results from harmonic analysis about the boundedness of certain harmonic functions and a measure theoretic pigeonhole principle.

Up to age 5, children are known to experience difficulties in the derivation of implicitly conveyed content, sticking to literally true, even if underinformative, interpretation of sentences. The computation of implicated meanings is connected to the (apparent or manifest) violation of Gricean conversational maxims. We present a study that tests unmotivated violations of the maxims of Quantity, Relevance, and Manner and of the Maximize Presupposition principle, with a Truth Value Judgment task with three options of response. We tested pre-schoolers and (...) school-aged children, with adults as controls, to verify at which age these pragmatic rules are recognized and to see whether there is a difference among these tenets. We found an evolutionary trend and that, in all age groups, violations of the maxims of Quantity and of Relation are sanctioned to a higher degree compared to infringements of the Maim of Manner and of the Maximize Presupposition principle. We conjecture that this relates to the effects that the violation of a certain maxim or principle has on the goals of the exchange: listeners are less tolerant with statements that transmit inaccurate or incomplete information, while being more tolerant with those that still permit to understand what has happened. (shrink)

This collection documents the work of the Hyperuniverse Project which is a new approach to set-theoretic truth based on justifiable principles and which leads to the resolution of many questions independent from ZFC. The contributions give an overview of the program, illustrate its mathematical content and implications, and also discuss its philosophical assumptions. It will thus be of wide appeal among mathematicians and philosophers with an interest in the foundations of set theory. The Hyperuniverse Project was supported by the (...) John Templeton Foundation from January 2013 until September 2015. (shrink)

The only way to be successful now days in every field of life is the effective use of verbal expression. Language serves as a toolkit to inform, reveal, explore, expose, explain, manipulate, exaggerate, intensify, mitigate and what not. It has every hidden potential to serve its users. Significance of this toolkit of language can also be a bravura feature in gaining comic and/or tragic effects in media. The language of the media violates its few communicative principles which can be (...) termed as Gricean cooperative principle, to serve the specific interests via playing upon the common use of language. The present study explores the intricacies involved in any communication to achieve comic effects. For this purpose, Gricean maxims have been investigated thoroughly with the help of Pakistani comedy show “Bulbulay” which is a famous TV series all over the country. The TV series is considered to be popular among the masses due to its different and unique language that is achieved by flouting the maxims in Gricean’s terminology. The study explains the inimitable ways of achieving comic effects in series and also suggests further work on other areas regarding the unusual use of language to achieve desired results. (shrink)

Abstract: In this article, I offer a proposal to clarify what I believe is the proper relation between value maximization and stakeholder theory, which I call enlightened value maximization. Enlightened value maximization utilizes much of the structure of stakeholder theory but accepts maximization of the long-run value of the firm as the criterion for making the requisite tradeoffs among its stakeholders, and specifies long-term value maximization or value seeking as the firm’s objective. This proposal therefore solves the problems that arise (...) from the multiple objectives that accompany traditional stakeholder theory. I also discuss the Balanced Scorecard, which is the managerial equivalent of stakeholder theory, explaining how this theory is flawed because it presents managers with a scorecard that gives no score—that is, no single-valued measure of how they have performed. Thus managers evaluated with such a system (which can easily have two dozen measures and provides no information on the tradeoffs between them) have no way to make principled or purposeful decisions. The solution is to define a true (single dimensional) score for measuring performance for the organization or division (and it must be consistent with the organization’s strategy), and as long as their score is defined properly, (and for lower levels in the organization it will generally not be value) this will enhance their contribution to the firm. (shrink)

The iterative concept of set is standardly taken to justify ZFC and some of its extensions. In this paper, we show that the maximal iterative concept also lies behind a class of further maximality principles expressing the maximality of the universe of sets V in height and width. These principles have been heavily investigated by the first author and his collaborators within the Hyperuniverse Programme. The programme is based on two essential tools: the hyperuniverse, consisting of (...) all countable transitive models of ZFC, and V -logic, both of which are also fully discussed in the paper. (shrink)