Arbitrary symbolism is a linguistic doctrine that predicts an orthogonal relationship between word forms and their corresponding meanings. Recent corpora analyses have demonstrated violations of arbitrary symbolism with respect to concreteness, a variable characterizing the sensorimotor salience of a word. In addition to qualitative semantic differences, abstract and concrete words are also marked by distinct morphophonological structures such as length and morphological complexity. Native English speakers show sensitivity to these markers in tasks such as auditory word recognition and naming. One (...) unanswered question is whether this violation of arbitrariness reflects an idiosyncratic property of the English lexicon or whether word concreteness is a marked phenomenon across other natural languages. We isolated concrete and abstract English nouns, and translated each into Russian, Arabic, Dutch, Mandarin, Hindi, Korean, Hebrew, and American Sign Language. We conducted offline acoustic analyses of abstract and concrete word length discrepancies across languages. In a separate experiment, native English speakers with no prior knowledge of these foreign languages judged concreteness of these nouns. Each naïve participant heard pre-recorded words presented in randomized blocks of three foreign languages following a brief listening exposure to a narrative sample from each respective language. Concrete and abstract words differed by length across five of eight languages, and prediction accuracy exceeded chance for four of eight languages. These results suggest that word concreteness is a marked phenomenon across several of the world's most widely spoken languages. We interpret these findings as supportive of an adaptive cognitive heuristic that allows listeners to exploit non-arbitrary mappings of word form to word meaning. (shrink)

This essay raises a challenge for the perceptual theory of emotion. According to the perceptual theory, emotions are perceptual states that represent values. But if emotions represent values, something should explain why. In virtue of what do emotions represent the values they do? A psychosemantics would answer this, and that’s what the perceptual theorist owes us. To date, however, the only perceptual theorist to attempt a psychosemantics for emotion is Jesse Prinz. And Prinz’s theory, I argue, faces an important difficulty: (...) It makes the pairing of any given emotion with its respective value entirely arbitrary. But that’s a problem. It seems—and this is a major contention of this essay—that an emotion, in virtue of how it feels, bears a natural or non-arbitrary link to the value it represents. And this datum makes it all the more difficult to provide a viable psychosemantics for the evaluative content of emotion. (shrink)

Non Arbitrariness Of Composition delivers a general and principled answer to the Special Composition Question. Horgan also embraces the extension of particularism into the domain of ontology.But particularism as meta-ontological guideline denies applicability of any general principles. So Horgan'soverall meta-ontological project both invites and rejects generality. The resulting tension may be aufgehoben however if the distinction is made between ontological commitments and their accompanying principles at the levels of ultimate and regional ontology.

James Lenman is critical of my claim that moral requirements are requirements of reason. I argue that his criticisms miss their target. More importantly, I argue that the anti-rationalism that informs Lenman's criticisms is itself implausible.

In this article, John Locke's accounts of political liberty and legitimate government are read as expressions of a normative demand for non-arbitrariness. I argue that Locke locates infringements of political liberty in dependence on the arbitrary will of another, whether or not interference or restraint actually takes place. This way Locke is tentatively placed in that tradition of republican thought recently brought to our attention by Pettit, Skinner and others. This reading shifts the focus on legitimacy and identifies the (...) independent moral argument for legitimate government as ruling for the good of the people. Consent is left with a hypothetical role to play. (shrink)

In §54 of the Grundlagen, Frege advances an interesting proposal on how to distinguish among different sorts of concepts, only some of which he thinks can be associated with number. This paper is devoted to an analysis of the two criteria he offers, isolation and non-arbitrary division. Both criteria say something about the way in which a concept divides its extension; but they emphasize different aspects. Isolation ensures that a concept divides its extension into discrete units. I offer two construals (...) of this: isolation as discreteness, i.e. absence of overlap, between the objects to be counted; and isolation as the drawing of conceptual boundaries. Non-arbitrary division concerns the internal structure of the units we count: it makes sure that we cannot go on dividing them arbitrarily and still find more units of the kind. Non-arbitrary division focuses not only on how long something can be divided into parts of the same kind; it also speaks to the way in which these divisions are made, arbitrarily or non-arbitrarily, as well as to the compositional structure of the objects divided. (shrink)

The goal of this article is to introduce, interpret, and defend the originality of the «first half» of the rational foundation of ethics of Francisco Miró Quesada Cantuarias (Lima 1918-2019). To do so, we will focus on his three first ethical works —«El Intelectual, el Occidente y la Política» (1965), «Sobre el Derecho Justo» (1976) y «Ser Humano Naturaleza, Historia» (1987)—, leaving his later works aside for a complementary work. We will show how Miró Quesada tries to refine Immanuel Kant’s (...) moral philosophy, overcoming its possible main flaw —here called disguised materialism— and rethinking the supreme moral principle, which he calls non-arbitrariness. We will also evaluate both his thesis that the principle of non-arbitrariness is the necessary condition of ethics and his invitation to renounce looking for its sufficient condition. On the way, we will highlight the originality of Miró Quesada’s proposal. Finally, we will advance the central thesis of his later ethical works and posit brief questions that his moral theory needs to answer. (shrink)

While Montesquieu (1689–1755) is often regarded as the thinker who discovered the importance of fundamental principles such as the rule of law and the separation of powers, systematic research of his theory of the state is surprisingly limited. In this article, I argue that his masterpiece, The Spirit of the Laws (1748), points to a theory of the non-arbitrary state. Montesquieu’s comparative study of various governments demonstrates that modern liberty depends on the rule of law. Since many states have laws (...) but few of them guarantee liberty, he stressed that the rule of law requires the separation of the judicial from the legislative and executive powers. The constitution of an independent judicial branch separates the sphere of justice from the political sphere, which creates the basic structure of the non-arbitrary state. Depending on the distribution of power in either of the two spheres, non-arbitrary states can guarantee their citizens more or less liberty. The concept of the non-arbitrary state thus illuminates Montesquieu’s significance for the variety of political projects that emerged in the age of revolutions. (shrink)

Craig Callender [2022] provides a novel challenge to the non-arbitrariness principle. His challenge plays an important role in his argument for the rational permissibility of a non-exponential temporal discounting rate. But the challenge is also of wider interest: it raises significant questions about whether we ought to accept the non-arbitrariness principle as a constraint on rational preferences. In this paper, I present two reasons to resist Callender’s challenge. First, I present a reason to reject his claim that the (...) non-arbitrariness principle only targets pure time preferences. Second, I criticize the inference Callender draws from a modest claim to a much stronger claim. The modest claim is that it can be hard to reveal the contents of an agent’s preferences. The stronger claim is that this provides us with a reason to reject a certain kind of normative constraint on rational preferences. I argue that the modest claim doesn’t motivate the stronger claim. The upshot of my two arguments is good news for those sympathetic to the non-arbitrariness principle: Callender’s challenge can be overcome, at least as it currently stands. (shrink)

The aim of this paper is to introduce, elucidate and defend the usefulness of a variant of grounding, or metaphysical explanation, that has the feature that the grounds explain of some states of affairs that one of them obtains without explaining which one obtains. I will dub this variant arbitrary grounding. After informally elucidating the basic idea in the first section, I will provide three metaphysical hypotheses that are best formulated in terms of arbitrary grounding in the second section. The (...) third section will be concerned with the relation between arbitrary grounding and non-arbitrary grounding. The fourth section will compare arbitrary grounding to two extant proposals in the literature. (shrink)

Jacques Monod (1971) argued that certain molecular processes rely critically on the property of chemical arbitrariness, which he claimed allows those processes to “transcend the laws of chemistry”. It seems natural, as some philosophers have done, to interpret this in modal terms: a biological relationship is chemically arbitrary if it is possible, within the constraints of chemical “law”, for that relationship to have been otherwise than it is. But while modality is certainly important for understanding chemical arbitrariness, understanding (...) its biological role also requires an account of the concrete causal-functional features that distinguish arbitrary from non-arbitrary phenomena. In this paper I elaborate on this under-emphasised aspect by offering a general account of these features: arbitrary relations are instantiated by mechanisms that involve molecular adapters, which causally couple two properties or processes which would otherwise be uncorrelated. Additionally, adapters work by acting as intermediate rather than cooperating causes. (shrink)

What is the nature of a conceptual scheme? Are there alternative conceptual schemes? If so, are some more justifiable or correct than others? The later Wittgenstein already addresses these fundamental philosophical questions under the general rubric of "grammar" and the question of its "arbitrariness"--and does so with great subtlety. This book explores Wittgenstein's views on these questions. Part I interprets his conception of grammar as a generalized version of Kant's transcendental idealist solution to a puzzle about necessity. It also (...) seeks to reconcile Wittgenstein's seemingly inconsistent answers to the question of whether or not grammar is arbitrary by showing that he believed grammar to be arbitrary in one sense and non-arbitrary in another. Part II focuses on an especially central and contested feature of Wittgenstein's account: a thesis of the diversity of grammars. The author discusses this thesis in connection with the nature of formal logic, the limits of language, and the conditions of semantic understanding or access. Strongly argued and cleary written, this book will appeal not only to philosophers but also to students of the human sciences, for whom Wittgenstein's work holds great relevance. (shrink)

What is the nature of a conceptual scheme? Are there alternative conceptual schemes? If so, are some more justifiable or correct than others? The later Wittgenstein already addresses these fundamental philosophical questions under the general rubric of "grammar" and the question of its "arbitrariness"--and does so with great subtlety. This book explores Wittgenstein's views on these questions. Part I interprets his conception of grammar as a generalized version of Kant's transcendental idealist solution to a puzzle about necessity. It also (...) seeks to reconcile Wittgenstein's seemingly inconsistent answers to the question of whether or not grammar is arbitrary by showing that he believed grammar to be arbitrary in one sense and non-arbitrary in another. Part II focuses on an especially central and contested feature of Wittgenstein's account: a thesis of the diversity of grammars. The author discusses this thesis in connection with the nature of formal logic, the limits of language, and the conditions of semantic understanding or access. Strongly argued and cleary written, this book will appeal not only to philosophers but also to students of the human sciences, for whom Wittgenstein's work holds great relevance. (shrink)

I propose a new fundamental principle in ethics: everyone who makes a choice has to avoid unwanted arbitrariness as much as possible. Unwanted arbitrariness is defi ned as making a choice without following a rule, whereby the consequences of that choice cannot be consistently wanted by at least one person. Other formulations of this anti-arbitrariness principle are given and compared with very similar contractualist principles formulated by Kant, Rawls, Scanlon and Parfit. The structure of arbitrariness allows (...) us to fi nd ways to avoid unwanted arbitrariness. The two most important implications of the anti-arbitrariness principle are discussed: non-dictatorship and non-discrimination. (shrink)

The federal system for allocating donated livers in the United States is often criticized for allowing geographic disparities in access to livers. Critics argue that such disparities are unfair on the grounds that where one lives is morally arbitrary and so should not influence one's access to donated livers. They argue instead that livers should be allocated in accordance with the equal opportunity principle, according to which US residents who are equally sick should have the same opportunity to receive a (...) liver, regardless of where they live. In this paper, we examine a central premise of the argument for the equal opportunity principle, namely, that geographic location is a morally arbitrary basis for allocating livers. We raise some serious doubts regarding the truth of this premise, arguing that under certain conditions, factors closely associated with geographic location are relevant to the allocation of livers, and so that candidates' geographic location is sometimes a morally non-arbitrary basis for allocating livers. Geographic location is morally non-arbitrary, we suggest, since by taking it into account, the UNOS may better fulfill its central goals of facilitating the effective and efficient placement of organs for transplantation and increasing organ donation. (shrink)

Surely God, as a perfectly rational being, created the universe for some _reason_. But is God’s creating the universe for a reason compatible with divine impassibility? That is the question I investigate in this article. The _prima facie_ tension between impassibility and God’s creating for a reason arises from impassibility’s commitment to God being uninfluenced by anything _ad extra_. If God is uninfluenced in this way, asks the detractor, how could he be moved to create anything at all? This _prima (...) facie_ tension has recently been formalized and dubbed the ‘Problem of Arbitrary Creation’. In this article, I defend a new extension of this problem. I begin by characterizing classical theism, divine simplicity, and divine impassibility. I then spell out the Problem of Arbitrary Creation as developed by R. T. Mullins. I next raise a worry for Mullins’ version of the argument. Finally, I extend the argument and show how my extension avoids the aforementioned worry. (shrink)

This paper shows how the study of surpluses of structure is an interesting philosophical task. In particular I explore how local gauge symmetry in quantized Yang-Mills theories is the by-product of the specific dynamical structure of interaction. It is shown how in non relativistic quantum mechanics gauge symmetry corresponds to the freedom to locally define global features of gauge potentials. Also discussed is how in quantum field theory local gauge symmetry is replaced by BRST symmetry. This last symmetry is apparently (...) the result of the fact that we do not know how to define quantum Yang-Mills theories without unphysical gauge boson states. Since Yang-Mills theories describe successfully three of the four fundamental interactions the elucidation of this symmetry is a pressing philosophical question. (shrink)

We present a fully relational definition of inertial systems based in the No Arbitrariness Principle, that eliminates the need for absolute inertial frames of reference or distinguished reference systems as the ``fixed stars'' in order to formulate Newtonian mechanics. The historical roots of this approach to mechanics are discussed as well. The work is based in part in the constructivist perspective of space advanced by Piaget. We argue that inertial systems admit approximations and that what is of practical use (...) are precisely such approximations. We finally discuss a slightly larger class of systems that we call ``relatively inertial'' which are the fundamental systems in a relational view of mechanics. (shrink)

Contents: Preface VII; Introduction 1; 1. The General Framework 5; 2. Some Standard Systems 61; 3. Systems in General 147; 4. Non-Standard Systems 177; Bibliography 210; General Index 215; Index of Symbols 219-220.

The lambda calculus is a universal programming language. It can represent the computable functions, and such offers a formal counterpart to the point of view of functions as rules. Terms represent functions and this allows for the application of a term/function to any other term/function, including itself. The calculus can be seen as a formal theory with certain pre-established axioms and inference rules, which can be interpreted by models. Dana Scott proposed the first non-trivial model of the extensional lambda calculus, (...) known as $ D_{\infty }$, to represent the $\lambda $-terms as the typical functions of set theory, where it is not allowed to apply a function to itself. Here we propose a construction of an $\infty $-groupoid from any lambda model endowed with a topology. We apply this construction for the particular case $D_{\infty }$, and we see that the Scott topology does not provide enough information about the relationship between higher homotopies. This motivates a new line of research focused on the exploration of $\lambda $-models with the structure of a non-trivial $\infty $-groupoid to generalize the proofs of term conversion to higher-proofs in $\lambda $-calculus. (shrink)

ABSTRACTThis paper assesses to what extent the neo-Republican accounts of Quentin Skinner and Philip Pettit adequately capture the nature of political liberty at Rome by focusing on Cicero's analysis of the libera res publica. Cicero's analysis in De Republica suggests that the rule of law and a modest menu of individual citizens’ rights guard against citizens being controlled by a master's arbitrary will, thereby ensuring the status of non-domination that constitutes freedom according to the neo-Republican view. He also shows the (...) difficulty of anchoring an argument for citizens’ full political participation in the value of non-domination. While Cicero believed such full participation was essential for a libera res publica, he, like other elite Romans, argued for participation on the basis of liberty conceived as the space to contend for and enhance one's social status. The sufficiency of the rule of law and citizens’ rights for securing a status of non-domination taken together with their insufficiency for ensuring a libera res publica suggests that neo-Republican accounts of liberty do not fully capture the idea as articulated in Cicero's Republicanism. (shrink)

What is the relation between non-domination and rights in the sense of claim-rights? This article argues that this relation is a tight one: rights turn out to be a necessary constituent of non-domination, or they are necessary, in a non-causal sense, for non-domination to come into existence and have its distinctive normative character. In particular, rights are necessary to constitute the following features of non-domination: the authority that non-domination signifies and the respect it demands; the kind of accountability that the (...) non-arbitrariness condition of non-domination demands; and the robustness of non-domination. The article then suggests that rights, even if necessary for non-domination, are not also sufficient. It concludes by illustrating how the protection of rights often supports, rather than contradicts, other republican aims. (shrink)

This paper is about non-labelled proof-systems for hybrid logic, that is, proofsystems where arbitrary formulas can occur, not just satisfaction statements. We give an overview of such proof-systems, focusing on analytic systems: Natural deduction systems, Gentzen sequent systems and tableau systems. We point out major results and we discuss a couple of striking facts, in particular that nonlabelled hybrid-logical natural deduction systems are analytic, but this is not proved in the usual way via step-by-step normalization of derivations.

William Rowe in his Can God be Free? argues that God, if there is a God, necessarily chooses the best. Combined with the premise that there is no best act of creation, this provides an a priori argument for atheism. Rowe assumes that necessarily God is a ‘morally unsurpassable’ being, and it is for that reason that God chooses the best. In this article I drop that assumption and I consider a successor to Rowe ’s argument, the Argument from (...) class='Hi'>Arbitrariness, based on the premise that God does not act arbitrarily. My chief conclusion will be that this argument fails because, for all we know, there can be non- arbitrary divine choices even if there is no best act of creation. (shrink)

In this paper I develop a version of universalism that is non-mereological. Broadly speaking, non-mereological universalism is the thesis that for any arbitrary set of objects and times, there is a persisting object which, at each of those times, will be constituted by those of the objects that exist at that time. I consider two general versions of non-mereological universalism, one which takes basic simples to be enduring objects, and the other which takes simples to be instantaneous objects. This yields (...) three versions of endurantism, of which I ultimately defend the version I call universalist endurantism. Universalist endurantism is the thesis that (i) for any arbitrary set S of instantaneous simples that exist at the same instant, there exists a fusion of the members of S, and (ii) for any arbitrary set S* of instantaneous fusions each of which exist at a different instant, there exists an enduring object O that is constituted by those fusions at those instants. Universalist endurantism is ‘non-mereological’ in that the relation that holds between instantaneous fusions and persisting objects is not the part/whole relation, but rather, is the relation of constitution, thus allowing that the persisting objects are three rather than four dimensional. I argue that universalist endurantism not only has the various benefits of mereological universalism in allowing vagueness to be explicated as semantic indeterminacy, but in addition allows the endurantist to hold that some properties are genuinely intrinsic and are exemplified simpliciter. (shrink)

In this paper I develop a version of universalism that is non-mereological. Broadly speaking, non-mereological universalism is the thesis that for any arbitrary set of objects and times, there is a persisting object which, at each of those times, will be constituted by those of the objects that exist at that time. I consider two general versions of non-mereological universalism, one which takes basic simples to be enduring objects, and the other which takes simples to be instantaneous objects. This yields (...) three versions of endurantism, of which I ultimately defend the version I call universalist endurantism. Universalist endurantism is the thesis that for any arbitrary set S of instantaneous simples that exist at the same instant, there exists a fusion of the members of S, and for any arbitrary set S* of instantaneous fusions each of which exist at a different instant, there exists an enduring object O that is constituted by those fusions at those instants. Universalist endurantism is ‘non-mereological’ in that the relation that holds between instantaneous fusions and persisting objects is not the part/whole relation, but rather, is the relation of constitution, thus allowing that the persisting objects are three rather than four dimensional. I argue that universalist endurantism not only has the various benefits of mereological universalism in allowing vagueness to be explicated as semantic indeterminacy, but in addition allows the endurantist to hold that some properties are genuinely intrinsic and are exemplified simpliciter. (shrink)

The aim of being able to reason about quantities, time or space has been the main objective of the many efforts on the integration of propositional planning with extensions to handle different theories. Planning modulo theories are an approximation inspired by satisfiability modulo theories that generalize the integration of arbitrary theories with propositional planning. Parallel plans are crucial to reduce plan lengths and hence the time needed to reach a feasible plan in many approaches. Parallelization of actions relies on the (...) notion of interference, which is usually determined syntactically at compile time. In this paper we define a semantic notion of interference between actions in PMT. Apart from being strictly stronger than any syntactic notion of interference, we show how semantic interference can be easily and efficiently checked by calling an off-the-shelf SMT solver at compile time, constituting a technique orthogonal to the solving method. (shrink)

Contextualist accounts of free will recently proposed by Hawthorne and Rieber imply that the same action can be both free and unfree (depending on the attributor's context). This paradoxical consequence can be avoided by thinking of contexts not as constituted by arbitrary moves in a conversation, but rather by (relatively stable) social practices (such as the practices of attributing responsibility or of giving scientific explanations). The following two conditions are suggested as each necessary and jointly sufficient for free will: (i) (...) the agent is able to form considered practical judgements and to act accordingly, and (ii) the agent (or some agent‐involving event) is the original cause of her actions. A contextualist reformulation of the second condition is developed according to which only contexts in which responsibility is attributed are relevant for the kind of original causation required for free will, which allows for a non‐relativist contextualism about free will. (shrink)

In this essay, I argue that at least in two phases of pharmaceutical research, especially while assessing the adequacy of the accumulated data and its interpretation, the influence of non-epistemic values is necessary. I examine a specific case from the domain of pharmaceutical research and demonstrate that there are multiple competing sets of values which may legitimately or illegitimately influence different phases of the inquiry. In such cases, the choice of the appropriate set of values—epistemic as well as non-epistemic—should be (...) made on the basis of the set’s viability to promote specific epistemic and social aims of the research, in the case at hand, rather than other competing aims. I put forth an account which addresses two philosophically significant and interrelated questions in the context of values in science debates: which aim should be prioritized when there are different stakeholders who try to achieve competing but, sometimes, conflicting goals; and what should be the criteria according to which the prioritization of a particular goal over other competing goals can be determined? I argue that both these questions can be addressed by invoking the principle of non-arbitrariness and the mere means principle and self-determination right. The philosophical import of raising and addressing these questions from an ethical perspective is that this approach leads to a better understanding of problems in today’s pharmaceutical research and guides us in efforts to alleviate these problems. (shrink)

This paper offers an answer to an objection to Phillip Pettit’s neo‐republican account of freedom as non‐domination raised by Sharon Krause. The objection is that widespread prejudice, such as systemic racism or sexism, generates significant obstacles to individuals’ free agency but that neo‐republicanism fails to explain why these obstacles reduce freedom. This is because neo‐republicanism defines domination in terms of the capacity for arbitrary interference, but many prejudiced actions do not involve physical coercion, threats, or any other behavior typically described (...) as types of interference. The paper discusses three strategies to account for the impact of widespread prejudice on the domination of groups. It argues that the most plausible strategy redefines domination in terms of behavior that is prima facie wrong and lacks appropriate checks. Such behavior includes interference but also includes prejudiced actions, such as failing to select the most qualified candidate for a job. (shrink)

Stephen Ingram defends a robustly realistic metaethical theory, based on the concept of normative arbitrariness, of which he provides the first in-depth analysis. He argues that, in order to capture the normative non-arbitrariness of moral choice, we must commit to the existence of robustly stance-independent, categorical, irreducibly normative, non-natural moral facts. Specifically, he identifies five ways in which a metaethical theory might fail to capture the non-arbitrariness of moral choice. The first involves claims about the bruteness of (...) moral attitudes or facts. The second involves claims about the privileging of some attitudes over others. The third involves the claim that some metaethical theories leave a normative deficit. The fourth involves a claim about our ownership over moral reality. And the fifth involves the claim that certain metaethical theories introduce a destabilising contingency into the moral domain. Ingram argues that robust realism is the theory that is best placed to avoid all five of these arbitrariness charges. He then goes on to show that, by exploring the nature of interpersonal moral dialogue, robust realists can defend epistemological and meta-semantic theories that are friendly to their view. Specifically, he defends a dualistic form of moral intuitionism on which some moral beliefs are justified on the basis of a priori intuitions, whilst others are justified on the basis of a posteriori moral experiences, and provides a theory of 'moral mental files' to explain how moral terms and concepts are able to refer to robust moral facts. (shrink)

In this article, Savage’s theory of decision-making under uncertainty is extended from a classical environment into a non-classical one. The Boolean lattice of events is replaced by an arbitrary ortho-complemented poset. We formulate the corresponding axioms and provide representation theorems for qualitative measures and expected utility. Then, we discuss the issue of beliefs updating and investigate a transition probability model. An application to a simple game context is proposed.

Sum rules are derived for the quantum wave functions of the Hadamard billiard in arbitrary dimensions. This billiard is a strongly chaotic (Anosov) system which consists of a point particle moving freely on a D-dimensional compact manifold (orbifold) of constant negative curvature. The sum rules express a general (two-point)correlation function of the quantum mechanical wave functions in terms of a sum over the orbits of the corresponding classical system. By taking the trace of the orbit sum rule or pre-trace formula, (...) one obtains the Selberg trace formula. The sum rules are applied in two dimensions to a compact Riemann surface of genus two, and in three dimensions to the only non-arithmetic tetrahedron existing in hyperbolic 3-space. It is shown that the quantum wave functions can be computed from classical orbits. Conversely, we demonstrate that the structure of classical orbits can be extracted from the quantum mechanical energy levels and wave functions (inverse quantum chaology). (shrink)

Policies that determine whether someone is allowed access to reproductive healthcare or not vary widely among countries, especially in their age requirements. This raises the suspicion of arbitrariness, especially because often no underlying justification is provided. In this article, we pose the question—under which circumstances is it morally acceptable to use age for policy and legislation in the first place? We start from the notion that everyone has a _conditional positive_ right to fertility treatment. Subsequently, we set off to (...) formulate a framework that helps to determine who should be excluded from treatment nonetheless. The framework’s three core elements are: choosing and ethically justifying exclusion criteria (target), determining the actual limit between in- and exclusion (cut-off), and selecting variables that help to predict the exclusion criteria via correlation (as they are not directly measurable) (proxy). This framework allows us to show that referring to age in policy and legislation is only ethically justifiable if there is a sufficiently strong correlation with a non-directly measurable exclusion criterion. Moreover, since age is only one of many predicting variables, it should therefore not be ascribed any special status. Finally, our framework may be used as an argumentative scheme to critically assess the ethical legitimacy of policies that regulate access to (fertility) treatments in general. (shrink)

We describe a recent program from the study of definable groups in certain o-minimal structures. A central notion of this program is that of a lattice. We propose a definition of a lattice in an arbitrary first-order structure. We then use it to describe, uniformly, various structure theorems for o-minimal groups, each time recovering a lattice that captures some significant invariant of the group at hand. The analysis first goes through a local level, where a pertinent notion of pregeometry and (...) generic elements is each time introduced. (shrink)

Extending a construction of Andreka, Givant, and Nemeti (2019), we construct some finite vector spaces and use them to build finite non-representable relation algebras. They are simple, measurable, and persistently finite, and they validate arbitrary finite sets of equations that are valid in the variety RRA of representable relation algebras. It follows that there is no finitely axiomatisable class of relation algebras that contains RRA and validates every equation that is both valid in RRA and preserved by completions of relation (...) algebras. Consequently, the variety generated by the completions of representable relation algebras is not finitely axiomatisable. This answers a question of Maddux (2018). (shrink)

The quantum theory of atoms in molecules (QTAIM) uses physics to define an atom and its contribution to observable properties in a given system. It does so using the electron density and its flow in a magnetic field, the current density. These are the two fields that Schrödinger said should be used to explain and understand the properties of matter. It is the purpose of this paper to show how QTAIM bridges the conceptual gulf that separates the observations of chemistry (...) from the realm of physics and do so in a manner that is both rigorous and conceptually simple. Since QTAIM employs real measurable fields, it enables one to present the findings of complex quantum mechanical calculations in a pictorial manner that isolates the essential physics. The time has arrived for a sea change in our attempts to predict and classify the observations of chemistry, time to replace the use of simplified and arbitrary models with the full predictive power of physics, as applied to an atom in a molecule. (shrink)

It was recently suggested that the cosmological constant problem as viewed in a non-perturbative framework is intimately connected to the choice of time and a physical Hamiltonian. We develop this idea further by calculating the non-perturbative vacuum energy density as a function of the cosmological constant with multiple choices of time. We also include a spatial curvature of the universe and generalize this calculation beyond cosmology at a classical level. We show that vacuum energy density depends on the choice of (...) time, and in almost all time gauges, is a non-linear function of the cosmological constant. This non-linear relation is a calculation for the vacuum energy density given some arbitrary value of the cosmological constant. Hence, in this non-perturbative framework, certain conventional aspects of the cosmological constant problem do not arise. We also discuss why the conventional cosmological constant problem is not well-posed, and formulate and answer the question: “Does vacuum gravitate?”. (shrink)

The principle of common cause asserts that positive correlations between causally unrelated events ought to be explained through the action of some shared causal factors. Reichenbachian common cause systems are probabilistic structures aimed at accounting for cases where correlations of the aforesaid sort cannot be explained through the action of a single common cause. The existence of Reichenbachian common cause systems of arbitrary finite size for each pair of non-causally correlated events was allegedly demonstrated by Hofer-Szabó and Rédei in 2006. (...) This paper shows that their proof is logically deficient, and we propose an improved proof. (shrink)

This paper seeks to assess the role that references to non-binding materials such as foreign law and extra-legal knowledge could play in the so-called judicialization of politics. While comparative law is far from manifesting its best interpretative potential in practice, the fact remains that many apex or other higher courts use it to strengthen the legitimacy of their decisions. Since foreign law does not carry any authoritative meaning within the framework of a national legal system, the act of resorting to (...) it is therefore always a political gesture that can be, at one and the same time, decried as arbitrary or hailed as a fruitful tool of judicial dialogue and consensus building. For their part, extra-legal references raise the equally challenging question of knowing whether judges are well equipped to assess complex social issues that go beyond the mere context of a case. Reading and integrating such non-binding elements into judicial discourse poses a series of challenges for the judge before the task. My contribution will evaluate these challenges and will advance a number of conclusions regarding the potential perils of using hetero-referential arguments uncritically and instrumentally. (shrink)

This book offers a defence of Wrightean epistemic entitlement, one of the most prominent approaches to hinge epistemology. It also systematically explores the connections between virtue epistemology and hinge epistemology. -/- According to hinge epistemology, any human belief set is built within and upon a framework of pre-evidential propositions – hinges – that cannot be justified. Epistemic entitlement argues that we are entitled to trust our hinges. But there remains a problem. Entitlement is inherently unconstrained and arbitrary: We can be (...) entitled to any hinge proposition under the right circumstances. In this book, the author argues that we need a non-arbitrariness clause that protects entitlement from defeat. This clause, he argues, is to require epistemic virtue. Virtuous cognitive dispositions provide the non-arbitrariness clause that protects entitlement from defeat. The epistemic character of the agent who holds a particular set of hinges tells us something about the hinges’ epistemic status. Conversely, epistemic virtues are cognitive dispositions and capacities that rely on hinge propositions – without trusting in some hinges, we would be unable to exercise our virtues. -/- Trust Responsibly will appeal to scholars and advanced students working on epistemology, Wittgenstein, and virtues. (shrink)