Metaphysicians who are aware of modern physics usually follow Putnam (1967) in arguing that Special Theory of Relativity is incompatible with the view that what exists is only what exists now or presently. Partisans of presentism (the motto ‘only present things exist’) had very difficult times since, and no presentist theory of time seems to have been able to satisfactorily counter the objection raised from Special Relativity. One of the strategies offered to the presentist consists in relativizing existence to inertial (...) frames. This unfashionable strategy has been accused of counterfeiting, since the meaning of the concept of existence would be incompatible with its relativization. Therefore, existence could only be relativistically invariant. In this paper, I shall examine whether such an accusation hits its target, and I will do this by examining whether the different criteria of existence that have been suggested by the Philosophical Tradition from Plato onwards imply that existence cannot be relativized. (shrink)

Some philosophers say that in special relativity, four-dimensional stuff is invariant in some sense that three-dimensional stuff is not. I show that this claim is false.

The violation of Bell’s inequality has shown that quantum theory and relativity are in tension: reality is nonlocal. Nonetheless, many have argued that GRW-type theories are to be preferred to pilot-wave theories as they are more compatible with relativity: while relativistic pilot-wave theories require a preferred slicing of space-time, foliation-free relativistic GRW-type theories have been proposed. In this paper I discuss various meanings of ‘relativistic invariance,’ and I show how GRW-type theories, while being more relativistic (...) in one sense, are less relativistic in another. If so, the initial claim that GRW-type theories have a greater compatibility with relativity is unwarranted: both type of theories violate relativity, one way or another. (shrink)

The impossibility of an indeterministic evolution for standard relativistic quantum field theories, that is, theories in which all fields satisfy the condition that the generators of space-time translation have spectra in the forward light-cone, is demonstrated. The demonstration proceeds by arguing that a relativistically invariant theory must have a stable vacuum and then showing that stability of the vacuum, together with the requirements imposed by relativistic causality, entails deterministic evolution, if all degrees of freedom are standard degrees of (...) freedom. (shrink)

Relativity Theory by Albert Einstein has been so far littleconsidered by cognitive scientists, notwithstanding its undisputedscientific and philosophical moment. Unfortunately, we don't have adiary or notebook as cognitively useful as Faraday's. But physicshistorians and philosophers have done a great job that is relevant bothfor the study of the scientist's reasoning and the philosophy ofscience. I will try here to highlight the fertility of a `triangulation'using cognitive psychology, history of science and philosophy of sciencein starting answering a clearly very complex question:why (...) did Einstein discover Relativity Theory? Here we arenot much concerned with the unending question of precisely whatEinstein discovered, that still remains unanswered, for we have noconsensus over the exact nature of the theory's foundations. We are mainly interested in starting to answer the`how question', and especially the following sub-question: what were his goals and strategies in hissearch? I will base my argument on fundamental publications ofEinstein, aiming at pointing out a theory-specific heuristic, settingboth a goal and a strategy: covariance/invariance.The result has significance in theory formation in science, especiallyin concept and model building. It also raises other questions that gobeyond the aim of this paper: why was he so confident in suchheuristic? Why didn't many other scientists use it? Where did he keep? such a heuristic? Do we have any other examples ofsimilar heuristic search in other scientific problemsolving? (shrink)

How should we understand the notion of moral objectivity? Metaethical positions that vindicate morality’s objective appearance are often associated with moral realism. On a realist construal, moral objectivity is understood in terms of mind-, stance-, or attitude-independence. But realism is not the only game in town for moral objectivists. On an antirealist construal, morality’s objective features are understood in virtue of our attitudes. In this paper I aim to develop this antirealist construal of moral objectivity in further detail, and to (...) make its metaphysical commitments explicit. I do so by building on Sharon Street’s version of “Humean Constructivism”. Instead of the realist notion of attitude-independence, the antirealist account of moral objectivity that I articulate centres on the notion of standpoint-invariance. While constructivists have been criticized for compromising on the issue of moral objectivity, I make a preliminary case for the thesis that, armed with the notion of standpoint-invariance, constructivists have resources to vindicate an account of objectivity with just the right strength, given the commitments of ordinary moral thought and practice. In support of this thesis I highlight recent experimental findings about folk moral objectivism. Empirical observations about the nature of moral discourse have traditionally been taken to give prima facie support to moral realism. I argue, by contrast, that from what we can tell from our current experimental understanding, antirealists can capture the commitments of ordinary discourse at least as well as realists can. (shrink)

The algebra of transactions as fundamental measurements is constructed on the basis of the analysis of their properties and represents an expansion of the Boolean algebra. The notion of the generalized economic measurements of the economic “quantity” and “quality” of objects of transactions is introduced. It has been shown that the vector space of economic states constructed on the basis of these measurements is relativistic. The laws of kinematics of economic objects in this space have been analyzed and the (...) stages of constructing the dynamics have been formulated. In particular, the “principle of maximum benefit”, which represents an economic analog of the principle of least action in the classical mechanics, and the principle of relativity as the principle of equality of all possible consumer preferences have been formulated. The notion of economic interval between two economic objects invariant to the selection of the vector of consumer preferences has been introduced. Methods of experimental verification of the principle of relativity in the space of economic states have been proposed. (shrink)

It is shown that the heuristic "derivation" of the Schrödinger equation in quantum mechanics textbooks can be turned into a real derivation by resorting to spacetime translation invariance and relativistic invariance.

John Bell proposed an ontology for the GRW modification of quantum mechanics in terms of flashes occurring at space- time points. This article spells out the motivation for this ontology, inquires into the status of the wave function in it, critically examines the claim of its being Lorentz invariant, and considers whether it is a parsimonious but nevertheless physically adequate ontology.

The meaning of the wave function and its evolution are investigated. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations in space. Next, we show that the linear non-relativistic evolution of the wave function of an isolated system obeys the free Schrödinger equation due to the requirements of spacetime translation (...) class='Hi'>invariance and relativistic invariance. Thirdly, we argue that the random discontinuous motion of particles may lead to a stochastic, nonlinear collapse evolution of the wave function. A discrete model of energy-conserved wavefunction collapse is proposed and shown consistent with existing experiments and our macroscopic experience. Besides, we also give a critical analysis of the de Broglie-Bohm theory, the many-worlds interpretation and other dynamical collapse theories, and briefly discuss the issues of unifying quantum mechanics and relativity. (shrink)

Relativistic quantum theories are equipped with a background Minkowski spacetime and non-relativistic quantum theories with a Galilean space-time. Traditional investigations have distinguished their distinct space-time structures and have examined ways in which relativistic theories become sufficiently like Galilean theories in a low velocity approximation or limit. A different way to look at their relationship is to see that both kinds of theories are special cases of a certain five-dimensional generalization involving no limiting procedures or approximations. When one (...) compares them, striking features emerge that bear on philosophical questions, including the ontological status of the wave function and time reversal invariance. (shrink)

This article takes a new idea, ‘normative behaviourism’, and applies it to global political theory, in order to address at least one of the problems we might have in mind when accusing that subject of being too ‘unrealistic’. The core of this idea is that political principles can be justified, not just by patterns in our thinking, and in particular our intuitions and considered judgements, but also by patterns in our behaviour, and in particular acts of insurrection and crime. The (...) problem addressed is ‘cultural relativism’, understood here not as a meta-ethical doctrine, but as the apparent ‘fact’ that people around the world have culturally varying intuitions and judgements of a kind that lead them to affirm different political principles. This is a problem because it seems to follow (1) that global agreement on any substantial set of political principles is impossible, and (2) that any political theory in denial of this ‘fact’ would be, for that reason, deeply unrealistic. The solution argued for here is that, if domestic political principles (i.e. principles intended to regulate a single state) could be justified by normative behaviourism, and in reference to culturally invariant behaviour, then an international system supportive of such principles is justifiable by extension. (shrink)

Whenever A judges that x-ing is morally wrong and B judges that x-ing is not morally wrong, we think that they disagree. The two standard types of accounts of such moral disagreements both presuppose that the class of moral wrong-judgments is uniform, though in different ways. According to the belief account, the disagreement is doxastic: A and B have beliefs with conflicting cognitive contents. This presupposes “belief-uniformity”: that the content of moral concepts is invariant in such a way that, whenever (...) A believes that x-ing is morally wrong and B believes that x-ing is not morally wrong, their beliefs have mutually inconsistent contents. According to the attitude account, moral disagreements are non-doxastic: A and B have clashing practical attitudes. This presupposes “attitude-uniformity”: that moral judgments are always accompanied by, or consist of, desire-like attitudes. Consequently, neither account is available if both uniformity-claims are rejected – as e.g., various forms of content-relativism do. This paper presents a new non-doxastic account of deontic moral disagreement, consistent with the rejection of both uniformity-claims. I argue first, that even if deontic moral judgments are not desires, and are not always accompanied by desires, they have practical direction in the same sense as desires: they are attitudes that one can act in accordance or discordance with. Second: deontic moral disagreement can be understood as clashes in practical direction: roughly, A and B morally disagree if, and only if, some way of acting is in accordance with A’s judgment but in discordance with B’s. (shrink)

In this paper we have shown how the consideration of a chaotic mechanics supplies a redefinition of special-relativistic space-time. In particular chaotic time means no possibility of defining temporal ordering and implies a breakdown of causality. The new chaotic transformations among "undetermined" space-time coordinates are no more linear and homogeneous. The principles of inertia and of energy-impulse conservation are no longer well defined and in any case no more invariant.

The notions of conservation and relativity lie at the heart of classical mechanics, and were critical to its early development. However, in Newton’s theory of mechanics, these symmetry principles were eclipsed by domain-specific laws. In view of the importance of symmetry principles in elucidating the structure of physical theories, it is natural to ask to what extent conservation and relativity determine the structure of mechanics. In this paper, we address this question by deriving classical mechanics—both nonrelativistic and relativistic—using relativity (...) and conservation as the primary guiding principles. The derivation proceeds in three distinct steps. First, conservation and relativity are used to derive the asymptotically conserved quantities of motion. Second, in order that energy and momentum be continuously conserved, the mechanical system is embedded in a larger energetic framework containing a massless component that is capable of bearing energy (as well as momentum in the relativistic case). Imposition of conservation and relativity then results, in the nonrelativistic case, in the conservation of mass and in the frame-invariance of massless energy; and, in the relativistic case, in the rules for transforming massless energy and momentum between frames. Third, a force framework for handling continuously interacting particles is established, wherein Newton’s second law is derived on the basis of relativity and a staccato model of motion-change. Finally, in light of the derivation, we elucidate the structure of mechanics by classifying the principles and assumptions that have been employed according to their explanatory role, distinguishing between symmetry principles and other types of principles (such as compositional principles) that are needed to build up the theoretical edifice. (shrink)

In this essay I take the opportunity to recast some insights from my extensive study over the last decade of Wittgenstein’s remarks on music into a coherent and concise portrayal of Wittgenstein’s philosophical underpinning and upshots pertaining to his perception of the modern music scene in interwar Austria. The gist of the present essay is to show that, for better or for worse, Wittgenstein’s personal taste in music was powered by philosophical reasoning, which was organic to his philosophical development, and (...) that ultimately his philosophical attitude to the music scene of interwar Austria manifests a deeply probing gradation. I are argue that we can distinguish between four varieties of the absurd in the music of interwar Austria, according to Wittgenstein. First is the nonsensical absurd of the incapability of seeing that the nonsensicality of the form of progress is incomprehensible. This category pertains to music which straightforwardly tries to emulate the various maxims and formulations derived from the form of progress. Such nonsensically absurd music typifies progressive Romantic composers such as Richard Strauss, Max Reger, and the early Arnold Schoenberg. Second is the vacuous absurd of the incapability of seeing what the form of progress renders incomprehensible. This category pertains to music which denounces the predominantly nonsensical maxims and formulations of modernity, thus destining itself to keeping on groping for something which it cannot express. Such vacuously absurd music is best exemplified, in Wittgenstein’s mind, by Josef Labor. Third is the philosophical absurd of rendering what is incomprehensible (from the perspective of a cultured person) comprehensible within the same purview. For Wittgenstein, Mahler’s music betokens such incommensurability, evoking a relativist philosophical puzzle: whether cultural progress is real, and it is us who have been left behind, or whether culture has really been vanquished, and we are the only ones left to notice it. The very thought of an artwork of “a totally different sort” remains invariably hypothetical. Fourth is the praxeological absurd of giving rise to an auxiliary, praxeologically dislodged musical language, replacing the transparency of human gesture with exact rules of comprehensibility. From Wittgenstein’s perspective, the shunning of the expanse of lived experience in a musical language fit for the meaning-blind would be the inglorious spot assigned to Arnold Schoenberg’s vision of the music of the future. (shrink)

Albert Einstein's bold assertion of the form-invariance of the equation of a spherical light wave with respect to inertial frames of reference became, in the space of six years, the preferred foundation of his theory of relativity. Early on, however, Einstein's universal light-sphere invariance was challenged on epistemological grounds by Henri Poincaré, who promoted an alternative demonstration of the foundations of relativity theory based on the notion of a light-ellipsoid. Drawing in part on archival sources, this paper shows (...) how an informal, international group of physicists, mathematicians, and engineers, including Einstein, Paul Langevin, Poincaré, Hermann Minkowski, Ebenezer Cunningham, Harry Bateman, Otto Berg, Max Planck, Max Laue, A. A. Robb, and Ludwig Silberstein, employed figures of light during the formative years of relativity theory in their discovery of the salient features of the relativistic worldview. (shrink)

Cyclic mechanic is intended as a suitable generalization both of quantum mechanics and general relativity apt to unify them. It is founded on a few principles, which can be enumerated approximately as follows: 1. Actual infinity or the universe can be considered as a physical and experimentally verifiable entity. It allows of mechanical motion to exist. 2. A new law of conservation has to be involved to generalize and comprise the separate laws of conservation of classical and relativistic mechanics, (...) and especially that of conservation of energy: This is the conservation of action or information. 3. Time is not a uniformly flowing time in general. It can have some speed, acceleration, more than one dimension, to be discrete. 4. The following principle of cyclicity: The universe returns in any point of it. The return can be only kinematic, i.e. per a unit of energy (or mass), and thermodynamic, i.e. considering the universe as a thermodynamic whole. 5. The kinematic return, which is per a unit of energy (or mass), is the counterpart of conservation of energy, which can be interpreted as the particular case of conservation of action “per a unit of time”. The kinematic return per a unit of energy (or mass) can be interpreted in turn as another particular law of conservation in the framework of conservation of action (or information), namely conservation of wave period (or time). These two counterpart laws of conservation correspond exactly to the particle “half” and to the wave “half” of wave-particle duality. 6. The principle of quantum invariance is introduced. It means that all physical laws have to be invariant to discrete and continuous (smooth) morphisms (motions) or mathematically, to the axiom of choice. The list is not intended to be exhausted or disjunctive, but only to give an introductory idea. (shrink)

The objective of this report is twofold. In the first place it aims to demonstrate that a four-dimensional local U(1) gauge invariant relativistic quantum mechanical Dirac-type equation is derivable from the equations for the classical electromagnetic field. In the second place, the transformational consequences of this local U(1) invariance are used to obtain solutions of different Maxwell equations.

In this work it is shown how absolute simultaneity of spatially distinct events can be established by means of a general criterion based on isotropically propagating signals and how it can be consistently preserved also when operating with Lorentz-like coordinate transformations between moving frames. The specific invariance properties of these transformations of coordinates are discussed, leading to a different interpretation of the physical meaning of the transformed variables with respect to their prevailing interpretation when associated with the Lorentz transformation. (...) On these basis, the emission hypothesis of W. Ritz is then applied to justify the outcomes of the Fizeau experiment, thanks to the introduction of an additional hypothesis regarding the influence of turbulence on the refractive index of the moving fluid. Finally, a test case to investigate the validity of either the Galilean or the Relativistic velocity composition rule is presented. Such test relies on the aberration of the light coming from celestial objects due to the motion of the observer, and on the analysis of the results obtained by applying the two different formulas to process the data of the observed positions, as measured in the moving frame, in order to determine the actual un-aberrated location of the source. (shrink)

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

In this paper we explore Ronald N. Giere’s contributions to the scientific realism debate. After outlining some of his general views on the philosophy of science, we locate his contributions within the traditional scientific realism debate. We argue that Giere’s scientific perspectivism is best seen as a form of carte blanche realism, that is: a view according to which science is a practice aiming at truth, and can warrantably claim to have attained it, to a certain degree; however, it does (...) not place our confidence invariably in some specific feature of scientific representations. (shrink)

This is Part 1 of a four part paper, intended to redress some of the most fundamental confusions in the subject of physical time directionality, and represent the concepts accurately. There are widespread fallacies in the subject that need to be corrected in introductory courses for physics students and philosophers. We start in Part 1 by analysing the time reversal symmetry of quantum probability laws. Time reversal symmetry is defined as the property of invariance under the time reversal transformation, (...) T: t --> -t. It is shown that quantum mechanics (classical or relativistic) is strongly time asymmetric in its probability laws. This contradicts the orthodox analysis, found throughout the conventional literature on physical time, which claims that quantum mechanics is time symmetric or reversible. This is widely claimed as settled scientific fact, and large philosophical and scientific conclusions are drawn from it. But it is an error. The fact is that while quantum mechanics is widely claimed to be reversible on the basis of two formal mathematical properties (that it does have), these properties do not represent invariance under the time reversal transformation. A recent experiment (Batalhão at alia, 2015) showing irreversibility of quantum thermodynamics is discussed as an illustration of this result. Most physicists remain unaware of the errors, decades after they were first demonstrated. Orthodox specialists in the philosophy of time who are aware of the error continue to refer to the ‘time symmetry’ or ‘reversibility’ of quantum mechanics anyway – and exploit the ambiguity to claim false implications about physical time reversal symmetry in nature. The excuse for perpetrating the confusion is that, since it is has now become customary to refer to the formal properties of quantum mechanics as ‘reversibility’ or ‘time reversal symmetry’, we should just keep referring to them by this name, even though they are not time reversal symmetry. This causes endless confusion, in attempts to explain the physical irreversibility of our universe, and in philosophical discussions of implications of physics for the nature of time. The failure of genuine time reversal symmetry in quantum mechanics changes the interpretation of modern physics in a deep way. It changes the problem of explaining the real irreversibility found throughout nature. (shrink)

This paper explores the relationship between scepticism and epistemic relativism in the context of recent history and philosophy of science. More specifically, it seeks to show that significant treatments of epistemic relativism by influential figures in the history and philosophy of science draw upon the Pyrrhonian problem of the criterion. The paper begins with a presentation of the problem of the criterion as it occurs in the work of Sextus Empiricus. It is then shown that significant treatments of epistemic relativism (...) in recent history and philosophy of science (critical rationalism, historical philosophy of science and the strong programme) draw upon the problem of the criterion. It is briefly suggested that a particularist response to the problem of the criterion may be put to good use against epistemic relativism. (shrink)

Assessment relativism, as developed by John MacFarlane, is the view that the truth of our claims involving a variety of English expressions—‘tasty’, ‘knows’, ‘tomorrow’, ‘might’, and ‘ought’—is relative not only to aspects of the context of their production but also to aspects of the context in which they are assessed. Assessment relativism is thus a form of truth relativism which is offered as a new way of understanding perspectival thought and talk. In this article, I present the main theses of (...) assessment relativism, focusing in particular on highlighting the points of commonality and contrast with other forms of truth relativism. I then offer some critical remarks concerning the motivation of assessment relativism in relation to matters of taste. (shrink)

We explore depth substitution invariance, or hyperformalism, and extend known results in this realm to justification logics extending weak relevant logics. We then examine the surprising invariance of justifications over formulas and restrict our attention to the substitution of proofs in the original relevant logic. The results of this paper indicate that depth invariance is a recalcitrant feature of the logic and that proof structures in hyperformal logics are quite inflexible.

ABSTRACT Contemporary relativists often see their view as contributing to a semantic/post-semantic account of linguistic data about disagreement and retraction. I offer an independently motivated metasemantic account of the same data, that also handles a number of cases and empirical results that are problematic for the relativist. The key idea is that the content of assertions and beliefs is determined in part by facts about other times, including times after the assertion is made or the belief is formed. On this (...) temporal externalist view, speaker behaviours such as retraction of previous assertions play a role in making it the case that a past utterance has a given meaning. (shrink)

I investigate the implication of the truth-relativist’s alleged ‘ faultless disagreements’ for issues in the epistemology of disagreement. A conclusion I draw is that the type of disagreement the truth-relativist claims to preserve fails in principle to be epistemically significant in the way we should expect disagreements to be in social-epistemic practice. In particular, the fact of faultless disagreement fails to ever play the epistemically significant role of making doxastic revision rationally required for either party in a disagreement. That the (...) truth-relativists’ disagreements over centred content fail to play this epistemically significant role that disagreements characteristically play in social epistemology should leave us sceptical that disagreement is what the truth-relativist has actually preserved. (shrink)

Relativism and expressivism offer two different semantic frameworks for grappling with a similar cluster of issues. What is the difference between these two frameworks? Should they be viewed as rivals? If so, how should we choose between them? This chapter sheds light on these questions. After providing an overview of relativism and expressivism, I discuss three potential choice points: their relation to truth conditional semantics, their pictures of belief and communication, and their explanations of disagreement.

Many times, what we say proves to be wrong. It might turn out that what we took to be a comforting remark was, in fact, making things worse. Or that a joke was inappropriate. Or that yelling out loud was rude. More importantly for this paper, there are plenty of cases in which what we said turns out to be false: we spoke without paying attention, we were misinformed or tricked, or we made a reasoning mistake. -/- A particular instance (...) of this latter phenomenon is when someone changes their perspective and doesn't find their previous assertions true anymore. For example, imagine that you used to like licorice as a child, and that you went around saying things like "Licorice is tasty." But, growing up, you find licorice too strong and quite boring; your tastes have changed. While the taste of licorice itself has not changed, you are not going around anymore uttering "Licorice is tasty." In fact, in certain cases, you might even think that what you said in your childhood was wrong - at least in light of your present preferences. -/- Sometimes we "take back" the assertions we made when we realize they are no longer true. Such speech acts of taking back can be performed in various ways: more formally, as effected in a court of law or when an official speaks to the press, or more informally in our day-by-day interactions. These acts of taking back are known as retraction. Retraction is usually achieved by employing certain linguistic markers ('I was wrong', 'I was mistaken', 'I retract', "Scratch that' etc.) that signal that the retractor takes their previous speech act to be faulty in a certain way. -/- This phenomenon has formed the basis for a popular argument used by relativists about a variety of natural language expressions (predicates of taste, epistemic modals, moral and aesthetic claims etc.) in support of their view. Recently, several considerations (mostly from contextualists about the same expressions), both from the armchair and based on empirical studies, have been offered to undercut the support retraction was thought to provide for relativism. In this paper, I consider and re-evaluate that support in light of both types of considerations, showing that neither of them decisively undermines it. However, to survive the contextualist counterattack, the relativist needs to pay a price: that is, she will be forced to make some concessions or rethink certain claims. I show what I think those concessions should be and what needs to be rethought (and how). The upshot is that, while the support retraction offers relativism is not as strong as initially believed, appeal to retraction remains a legitimate move in the debate. In section 1, I introduce the views in the debate and clarify the phenomenon of retraction and its dialectical role. Armchair data are investigated in section 2, proper experimental studies in section 3, while section 4 summarizes and concludes. (shrink)

Many philosophers are baffled by necessity. Humeans, in particular, are deeply disturbed by the idea of necessary laws of nature. In this paper I offer a systematic yet down to earth explanation of necessity and laws in terms of invariance. The type of invariance I employ for this purpose generalizes an invariance used in meta-logic. The main idea is that properties and relations in general have certain degrees of invariance, and some properties/relations have a stronger degree (...) of invariance than others. The degrees of invariance of highly-invariant properties are associated with high degrees of necessity of laws governing/describing these properties, and this explains the necessity of such laws both in logic and in science. This non-mysterious explanation has rich ramifications for both fields, including the formality of logic and mathematics, the apparent conflict between the contingency of science and the necessity of its laws, the difference between logical-mathematical, physical, and biological laws/principles, the abstract character of laws, the applicability of logic and mathematics to science, scientific realism, and logical-mathematical realism. (shrink)

Relativists make room for the possibility of “faultless disagreement” by positing the existence of subjective propositions, i.e. propositions true from some points of view and not others. We discuss whether the adoption of this position with respect to a certain domain of discourse is compatible with a realist attitude towards the matters arising in that domain. At first glance, the combination of relativism and realism leads to an unattractive metaphysical picture on which reality comprises incoherent facts. We will sketch the (...) contours of a realist-relativist position called “subjectivism”, which avoids this result by giving up the assumption that the points of view of different subjects are all metaphysically “on a par”. (shrink)

Although the invariance criterion of logicality first emerged as a criterion of a purely mathematical interest, it has developed into a criterion of considerable linguistic and philosophical interest. In this paper I compare two different perspectives on this criterion. The first is the perspective of natural language. Here, the invariance criterion is measured by its success in capturing our linguistic intuitions about logicality and explaining our logical behavior in natural-linguistic settings. The second perspective is more theoretical. Here, the (...) invariance criterion is used as a tool for developing a theoretical foundation of logic, focused on a critical examination, explanation, and justification of its veridicality and modal force. (shrink)

It is tempting to think that a process of choosing a point at random from the surface of a sphere can be probabilistically symmetric, in the sense that any two regions of the sphere which differ by a rotation are equally likely to include the chosen point. Isaacs, Hájek, and Hawthorne (2022) argue from such symmetry principles and the mathematical paradoxes of measure to the existence of imprecise chances and the rationality of imprecise credences. Williamson (2007) has argued from a (...) related symmetry principle to the failure of probabilistic regularity. We contend that these arguments fail, because they rely on auxiliary assumptions about probability which are inconsistent with symmetry to begin with. We argue, moreover, that symmetry should be rejected in light of this inconsistency, and because it has implausible decision- theoretic implications. -/- The weaker principle of probabilistic invariance says that the probabilistic comparison of any two regions is unchanged by rotations of the sphere. This principle supports a more compelling argument for imprecise probability. We show, however, that invariance is incompatible with mundane judgments about what is probable. Ultimately, we find reason to be suspicious of the application of principles like symmetry and invariance to nonmeasurable regions. (shrink)

The presence of symmetries in physical theories implies a pernicious form of underdetermination. In order to avoid this theoretical vice, philosophers often espouse a principle called Leibniz Equivalence, which states that symmetry-related models represent the same state of affairs. Moreover, philosophers have claimed that the existence of non-trivial symmetries motivates us to accept the Invariance Principle, which states that quantities that vary under a theory’s symmetries aren’t physically real. Leibniz Equivalence and the Invariance Principle are often seen as (...) part of the same package. I argue that this is a mistake: Leibniz Equivalence and the Invariance Principle are orthogonal to each other. This means that it is possible to hold that symmetry-related models represent the same state of affairs whilst having a realist attitude towards variant quantities. Various arguments have been presented in favour of the Invariance Principle: a rejection of the Invariance Principle is inter alia supposed to cause indeterminism, undetectability or failure of reference. I respond that these arguments at best support Leibniz Equivalence. (shrink)

This paper reviews arguments concerning the relation between relativism and tolerance, both whether tolerance entails relativism, and whether relativism entails tolerance. Two new arguments are offered to support the contention that there is no necessary relation between relativism and tolerance. In particular, building on the classic argument by Geoffrey Harrison, this paper argues that even if there is no strict dichotomy between facts and values, as Harrison had assumed, relativism still does not entail tolerance for every relativized perspective.

In this paper we discuss a phenomenon we call perspectival plurality, which has gone largely unnoticed in the current debate between relativism and contextualism about predicates of personal taste. According to perspectival plurality, the truth value of a sentence containing more than one PPT may depend on more than one perspective. Prima facie, the phenomenon engenders a problem for relativism and can be shaped into an argument in favor of contextualism. We explore the consequences of perspectival plurality in depth and (...) assess several possible responses on behalf of advocates of relativism. (shrink)

I argue that relativists about evaluative language face some of the same objections as non-naturalists in ethics. If these objections are powerful, there is reason to doubt the existence of relative evaluative states of affairs. In they do not exist, then relativism leads to an error theory. This is unattractive, as the position was specifically designed to preserve the truth of many evaluative claims.

Wigner's quantum-mechanical classification of particle-types in terms of irreducible representations of the Poincaré group has a classical analogue, which we extend in this paper. We study the compactness properties of the resulting phase spaces at fixed energy, and show that in order for a classical massless particle to be physically sensible, its phase space must feature a classical-particle counterpart of electromagnetic gauge invariance. By examining the connection between massless and massive particles in the massless limit, we also derive a (...) classical-particle version of the Higgs mechanism. (shrink)

Relativism is the view that the truth of a sentence is relative both to a context of utterance and to a context of assessment. That the truth of a sentence is relative to a context of utterance is uncontroversial in contemporary semantics. This chapter focuses on three points: whether the version of contextualism is vulnerable to the disagreement and retraction arguments, and if so, whether these problems can be avoided by a more sophisticated contextualist theory. The points include: whether relativism (...) really does avoid the four problems posed for the other theories; and whether there are other theories that also avoid the problems, without running into the problems facing relativism or problems of their own. The chapter concentrates on two families of views that have been called relativist: Relativism about propositional truth; and Relativism about utterance truth. (shrink)

What is a logical constant? The question is addressed in the tradition of Tarski's definition of logical operations as operations which are invariant under permutation. The paper introduces a general setting in which invariance criteria for logical operations can be compared and argues for invariance under potential isomorphism as the most natural characterization of logical operations.

Although moral relativists often appeal to cases of apparent moral disagreement between members of different communities to motivate their view, accounting for these exchanges as evincing genuine disagreements constitutes a challenge to the coherence of moral relativism. While many moral relativists acknowledge this problem, attempts to solve it so far have been wanting. In response, moral relativists either give up the claim that there can be moral disagreement between members of different communities or end up with a view on which (...) these disagreements have no “epistemic significance” because they are always faultless. This paper introduces an alternative strategy: accounting for disagreement in terms of “metalinguistic negotiation”. It argues that this strategy constitutes a better solution to the challenge disagreement poses for moral relativists because it leads to a nuanced understanding of the epistemic significance of moral disagreement between members of different communities. The upshot is a novel account of disagreement for moral relativists that has consequences for how moral relativism should be understood. (shrink)

There are a number of debates that are relevant to questions concerning objectivity in science. One of the eldest, and still one of the most intensely fought, is the debate over epistemic relativism. —All forms of epistemic relativism commit themselves to the view that it is impossible to show in a neutral, non-question-begging, way that one “epistemic system”, that is, one interconnected set of epistemic standards, is epistemically superior to others. I shall call this view “No-metajustification”. No-metajustification is commonly taken (...) to deny the objectivity of standards. In this paper I shall discuss two currently popular attempts to attack “No-metajustification”. The first attempt attacks no-metajustification by challenging a particular strategy of arguing in its defence: this strategy involves the ancient Pyrrhonian “Problem of the Criterion”. The second attempt to refute No-metajustification targets its metaphysical underpinning: to wit, the claim that there are, or could be, several fundamentally different and irreconcilable epistemic systems. I shall call this assumption “Pluralism”. I shall address three questions with respect to these attempts to refute epistemic relativism by attacking no-metajustification: Can the epistemic relativist rely on the Problem of the Criterion in support of No-metajustification? Is a combination of Chisholmian “particularism” and epistemic naturalism an effective weapon against No-metajustification? And is Pluralism a defensible assumption? (shrink)

This paper presents a naturalistic response to the challenge of epistemic relativism. The case of the Azande poison oracle is employed as an example of an alternative epistemic norm which may be used to justify beliefs about everyday occurrences. While a distinction is made between scepticism and relativism, an argument in support of epistemic relativism is presented that is based on the sceptical problem of the criterion. A response to the resulting relativistic position is then provided on the basis (...) of a particularist response to scepticism combined with a naturalistic approach to the warrant of epistemic norms. It is argued that it is possible to comparatively assess the ability of epistemic norms to lead to epistemic aims. As against the epistemic relativist, it is possible to provide an objective basis for the choice between alternative epistemic norms. (shrink)

This paper is about two topics: metaepistemological absolutism and the epistemic principles governing perceptual warrant. Our aim is to highlight—by taking the debate between dogmatists and conservativists about perceptual warrant as a case study—a surprising and hitherto unnoticed problem with metaepistemological absolutism, at least as it has been influentially defended by Paul Boghossian as the principal metaepistemological contrast point to relativism. What we find is that the metaepistemological commitments at play on both sides of this dogmatism/conservativism debate do not line (...) up with epistemic relativism nor do they line up with absolutism, at least as Boghossian articulates this position. What this case study reveals is the need in metaepistemological option space for the recognition of a weaker and less tendentious form of absolutism, what we call “environment relativism”. On this view, epistemic principles are knowable, objective, and they can serve as the basis of particular epistemic evaluations, but their validity is relative to the wider global environment in which they are applied. (shrink)

In the pair of articles of which this is the second, I present a set of problems and philosophical proposals that have in recent years been associated with the term “relativism”. These problems are related to the question of how we should represent thought and speech about certain topics. The main issue is whether we should model such mental states or linguistic acts as involving representational contents that are absolutely correct or incorrect, or whether, alternatively, their correctness should be thought (...) of as varying with some (more or less surprising) factor. In the first article, “Relativism 1: Representational Content”, I discussed the general issue of relativism about representational content. I argued for the conciliatory view that both relativist and absoutist conceptions of representational content can be legitimate. In the present continuation, I look in more detail at a special case of the general issue, namely the question of whether semantic contents, i.e. the contents assigned to linguistic utterances in the semantics of natural language, should be construed in an absolutist or in a relativist way. (shrink)

This chapter focuses on the connection between moral disagreement and moral relativism. Moral relativists, generally speaking, think both (i) that there is no unique objectively correct moral standard and (ii) that the rightness and wrongness of an action depends in some way on a moral standard accepted by some group or an individual. This chapter will first consider the metaphysical and epistemic arguments for moral relativism that begin from the premise that there is considerable amount of moral disagreement both within (...) individual societies and between them. The second half of the chapter, by contrast, focuses on the objection that moral relativism threatens to make us unable to have moral disagreements because it seems to make us speak past one another. This part of the chapter also evaluates relativist responses to this disagreement problem that rely on semantic opacity, disagreement in attitude, metalinguistic negotiations, and truth relativism. The chapter finally concludes by considering future directions of research in this area. (shrink)

In this paper I refute the chief arguments for cultural relativism, meaning the moral (not the descriptive) theory that goes by that name. In doing this I walk some oft-trodden paths, but I also break new ones. For instance, I take unusual pains to produce an adequate formulation of cultural relativism, and I distinguish that thesis from the relativism of present-day anthropologists, with which it is often conflated. In addition, I address not one or two, but eleven arguments for cultural (...) relativism, many of which contribute to its popularity but receive scant attention from its critics. To elicit the failings of these arguments I deploy a host of pertinent but often neglected distinctions. (shrink)

This paper develops a version of the self-refutation argument against relativism in the teeth of the prevailing response by relativists: that this argument begs the question against them. It is maintained that although weaker varieties of relativism are not self-refuting, strong varieties are faced by this argument with a choice between making themselves absolute (one thing is absolutely true - relativism); or reflexive (relativism is 'true for' the relativist). These positions are in direct conflict. The commonest response, Reflexive Relativism, is (...) shown to be vulnerable to an iterated version of the self-refutation argument. As a result, Reflexive Relativism possesses only the appearance of content, being either incoherent, or a regressively disguised version of Absolute Relativism. Concluding remarks on Absolute Relativism acknowledge this to be a bare, formal possibility, but claim that in fact it must represent one of a range of weaker varieties of relativism that alone remain tenable. (shrink)

In the pair of articles of which this is the first, I shall present a set of problems and philosophical proposals that have in recent years been associated with the term “relativism”. All these problems and proposals concern the question of how we should represent thought and speech about certain topics. The main issue here is whether we should model such mental states or linguistic acts as involving representational contents that are absolutely correct or incorrect, or whether, alternatively, their correctness (...) should be thought of as varying with some (more or less surprising) factor. In this, first, article, I shall discuss the general issue of relativism about representational content. I shall claim that there are legitimate ways of attributing contents that are absolute truth-bearers, and there are also equally legitimate ways of attributing relativistic representational contents. In the companion piece “Relativism 2: Semantic Content”, I look in more detail at the more specific question whether semantic contents (i.e. the contents assigned to linguistic utterances in the semantics of natural language) should be construed in an absolutist or a relativist way. (shrink)