Can stable regularities be explained without appealing to governing laws or any other modal notion? In this paper, I consider what I will call a ‘Humean system’—a generic dynamical system without guiding laws—and assess whether it could display stable regularities. First, I present what can be interpreted as an account of the rise of stable regularities, following from Strevens [2003], which has been applied to explain the patterns of complex systems (such as those from meteorology and statistical mechanics). Second, since (...) this account presupposes that the underlying dynamics displays deterministic chaos, I assess whether it can be adapted to cases where the underlying dynamics is not chaotic but truly random—that is, cases where there is no dynamics guiding the time evolution of the system. If this is so, the resulting stable, apparently non-accidental regularities are the fruit of what can be called statistical necessity rather than of a primitive physical necessity. (shrink)

Recent developments in generalized probability theory have renewed a debate about whether regularity (i.e., the constraint that only logical contradictions get assigned probability 0) should be a necessary feature of both chances and credences. Crucial to this debate, however, are some mathematical facts regarding the interplay between the existence of regular generalized probability measures and various cardinality assumptions. We improve on several known results in the literature regarding the existence of regular generalized probability measures. In particular, we give necessary (...) and sufficient conditions for the existence of regular generalized probability measures defined on the whole powerset of any sample space. (shrink)

We show how the Full Bayesian Significance Test (FBST) can be used as a model selection criterion. The FBST was presented by Pereira and Stern as a coherent Bayesian significance test. Key Words: Bayesian test; Evidence; Global optimization; Information; Model selection; Numerical integration; Posterior density; Precise hypothesis; Regularization. AMS: 62A15; 62F15; 62H15.

In this paper, we propose a regularity theory of causation. The theory aims to be reductive and to align with our pre‐theoretic understanding of the causal relation. We show that our theory can account for a wide range of causal scenarios, including isomorphic scenarios, omissions, and scenarios which suggest that causation is not transitive.

How regular do mechanisms need to be, in order to count as mechanisms? This paper addresses two arguments for dropping the requirement of regularity from the definition of a mechanism, one motivated by examples from the sciences and the other motivated by metaphysical considerations regarding causation. I defend a broadened regularity requirement on mechanisms that takes the form of a taxonomy of kinds of regularity that mechanisms may exhibit. This taxonomy allows precise explication of the degree and (...) location of regular operation within a mechanism, and highlights the role that various kinds of regularity play in scientific explanation. I defend this regularity requirement in terms of regularity’s role in individuating mechanisms against a background of other causal processes, and by prioritizing mechanisms’ ability to serve as a model of scientific explanation, rather than as a metaphysical account of causation. It is because mechanisms are regular, in the expanded sense described here, that they are capable of supporting the kinds of generalizations that figure prominently in scientific explanations. (shrink)

This paper focuses on the view that rationality requires that our credences be regular. I go through different formulations of the requirement, and show that they face several problems. I then formulate a version of the requirement that solves most of, if not all, these problems. I conclude by showing that an argument thought to support the requirement as traditionally formulated actually does not; if anything, the argument, slightly modified, supports my version of the requirement.Send article to KindleTo send this (...) article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.REGULARITY REFORMULATEDVolume 9, Issue 4Weng Hong TangDOI: https://doi.org/10.1017/epi.2012.23Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. REGULARITY REFORMULATEDVolume 9, Issue 4Weng Hong TangDOI: https://doi.org/10.1017/epi.2012.23Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. REGULARITY REFORMULATEDVolume 9, Issue 4Weng Hong TangDOI: https://doi.org/10.1017/epi.2012.23Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

A probability distribution is regular if no possible event is assigned probability zero. While some hold that probabilities should always be regular, three counter-arguments have been posed based on examples where, if regularity holds, then perfectly similar events must have different probabilities. Howson (2017) and Benci et al. (2016) have raised technical objections to these symmetry arguments, but we see here that their objections fail. Howson says that Williamson’s (2007) “isomorphic” events are not in fact isomorphic, but Howson is (...) speaking of set-theoretic representations of events in a probability model. While those sets are not isomorphic, Williamson’s physical events are, in the relevant sense. Benci et al. claim that all three arguments rest on a conflation of different models, but they do not. They are founded on the premise that similar events should have the same probability in the same model, or in one case, on the assumption that a single rotation-invariant distribution is possible. Having failed to refute the symmetry arguments on such technical grounds, one could deny their implicit premises, which is a heavy cost, or adopt varying degrees of instrumentalism or pluralism about regularity, but that would not serve the project of accurately modelling chances. (shrink)

This essay proposes a reductive account of robust macro-regularities. On the view proposed, regularities can earn their elite scientific status by featuring in good summaries of restricted regions in the space of physical possibilities: our “modal neighborhoods.” I argue that this view vindicates “nomic foundationalism”, while doing justice to the practice of invoking physically contingent generalizations in higher-level explanations. Moreover, the view suggests an explanation for the particular significance of robust macro-regularities: we rely on summaries of our modal neighborhoods when (...) reasoning hypothetically about “agentially accessible” possibilities. (shrink)

In this paper, we define the regular and totally regular single valued neutrosophic hypergraphs, and discuss the order and size along with properties of regular and totally regular single valued neutrosophic hypergraphs. We also extend work on completeness of single valued neutrosophic hypergraphs.

In this paper, we define the regular and totally regular bipolar single valued neutrosophic hypergraphs, and discuss the order and size along with properties of regular and totally regular bipolar single valued neutrosophic hypergraphs. We extend work on completeness of bipolar single valued neutrosophic hypergraphs.

Neutrosophic set is a new mathematical tool for handling problems involving imprecise, indetermi nacy and inconsistent data. Pseudo-BCI algebra is a kind of non-classical logic algebra in close connection with various non-commutative fuzzy logics. Recently, we applied neutrosophic set theory to pseudo-BCI al gebras. In this paper, we study neutrosophic filters in pseudo-BCI algebras. The concepts of neutrosophic regular filter, neutrosophic closed filter and fuzzy regular filter in pseudo-BCI algebras are introduced, and some basic properties are discussed. Moreover, the relationships (...) among neutrosophic regular filter, fuzzy filters and anti-grouped neutrosophic filters are prese nted, and the results are proved: a neutrosophic filter (fuzzy filter) is a neutrosophic regular filter (fuzzy regular filter), if and only if it is both a neutrosophic closed filter (fuzzy closed filter) and an anti-grouped neutrosophic filter (fuzzy anti-grouped filter). (shrink)

This chapter examines the relationship between laws and mechanisms as approaches to characterising generalizations and explanations in science. I give an overview of recent historical discussions where laws failed to satisfy stringent logical criteria, opening the way for mechanisms to be investigated as a way to explain regularities in nature. This followed by a critical discussion of contemporary debates about the role of laws versus mechanisms in describing versus explaining regularities. I conclude by offering new arguments for two roles for (...) laws that mechanisms cannot subsume, one epistemically optimistic and one pessimistic, both broadly Humean. Do note that this piece is not primarily Hume exegesis; it is more of a riff in the key of Hume. (shrink)

Leuridan (2010) argued that mechanisms cannot provide a genuine alternative to laws of nature as a model of explanation in the sciences, and advocates Mitchell’s (1997) pragmatic account of laws. I first demonstrate that Leuridan gets the order of priority wrong between mechanisms, regularity, and laws, and then make some clarifying remarks about how laws and mechanisms relate to regularities. Mechanisms are not an explanatory alternative to regularities; they are an alternative to laws. The existence of stable regularities in (...) nature is necessary for either model of explanation: regularities are what laws describe and what mechanisms explain. (shrink)

If the laws of nature are as the Humean believes, it is an unexplained cosmic coincidence that the actual Humean mosaic is as extremely regular as it is. This is a strong and well-known objection to the Humean account of laws. Yet, as reasonable as this objection may seem, it is nowadays sometimes dismissed. The reason: its unjustified implicit assignment of equiprobability to each possible Humean mosaic; that is, its assumption of the principle of indifference, which has been attacked on (...) many grounds ever since it was first proposed. In place of equiprobability, recent formal models represent the doxastic state of total ignorance as suspension of judgment. In this paper I revisit the cosmic coincidence objection to Humean laws by assessing which doxastic state we should endorse. By focusing on specific features of our scenario I conclude that suspending judgment results in an unnecessarily weak doxastic state. First, I point out that recent literature in epistemology has provided independent justifications of the principle of indifference. Second, given that the argument is framed within a Humean metaphysics, it turns out that we are warranted to appeal to these justifications and assign a uniform and additive credence distribution among Humean mosaics. This leads us to conclude that, contrary to widespread opinion, we should not dismiss the cosmic coincidence objection to the Humean account of laws. (shrink)

In standard probability theory, probability zero is not the same as impossibility. But many have suggested that only impossible events should have probability zero. This can be arranged if we allow infinitesimal probabilities, but infinitesimals do not solve all of the problems. We will see that regular probabilities are not invariant over rigid transformations, even for simple, bounded, countable, constructive, and disjoint sets. Hence, regular chances cannot be determined by space-time invariant physical laws, and regular credences cannot satisfy seemingly reasonable (...) symmetry principles. Moreover, the examples here are immune to the objections against Williamson’s infinite coin flips. (shrink)

In this article, we analyze how the checks-and-balances principle in the Finnish Constitution regarding the declaration of the state of emergency. We first discuss the basic principles of the separation of powers and checks and balances, and explicate how these principles are relevant to declaring a state of emergency (section 2). We then move on to analysing the Finnish legal order, de lege lata, regarding the declaration of the state of emergency, both on the level of the Constitution and on (...) the level of the Emergency Powers Act (section 3). This section elaborates the role of the legislative branch in checking the executive and the authority of the executive(s) in declaring a state of emergency. By means of our theoretical discussion and legal analysis, we will evaluate critically the declaration requirement’s political entailments for the Finnish legal system and propose some changes for the future, de lege ferenda (section 4). This evaluation critically assesses the present legislation regarding the declaration and its recent practice during COVID-19 pandemic. (shrink)

Festschrift for Michiel van Lambalgen on the occasion of his retirement as professor of logic and cognitive science at the University of Amsterdam.

One of the traditional desiderata for a metaphysical theory of laws of nature is that it be able to explain natural regularities. Some philosophers have postulated governing laws to fill this explanatory role. Recently, however, many have attempted to explain natural regularities without appealing to governing laws. Suppose that some fundamental properties are bare dispositions. In virtue of their dispositional nature, these properties must be (or are likely to be) distributed in regular patterns. Thus it would appear that an ontology (...) including bare dispositions can dispense with governing laws of nature. I believe that there is a problem with this line of reasoning. In this essay, I’ll argue that governing laws are indispensable for the explanation of a special sort of natural regularity: those holding among categorical properties (or, as I’ll call them, categorical regularities). This has the potential to be a serious objection to the denial of governing laws, since there may be good reasons to believe that observed regularities are categorical regularities. (shrink)

Residence of unauthorized immigrants is a stable feature of the Global North’s liberal democracies. This article asks how liberal-democratic policymakers should respond to this phenomenon, assuming both that states have incontrovertible rights and interests to assert control over immigration and that unauthorized residence is nevertheless an entrenched fact. It argues that a set of liberal-democratic commitments gives policymakers strong reason to implement both so-called ‘firewall’ and ‘regularization’ policies, thereby protecting unauthorized immigrants’ basic needs and interests and officially incorporating many of (...) them in society. It then explains that the background imperative of immigration control creates a dilemmatic tension between these policies, as regularization is envisaged alongside the removal of the ineligible, which is in turn hindered by the implementation of firewalls. This creates a dilemma between the pursuit of two policy goals that are both underwritten by the same value commitments. Though it cannot be entirely dissolved, I argue that the best way to mitigate this dilemma is to design regularization policy in a way that leaves only a small number of unauthorized immigrants subject to removal. (shrink)

In this paper, I consider a family of three-valued regular logics: the well-known strong and weak S.C. Kleene’s logics and two intermedi- ate logics, where one was discovered by M. Fitting and the other one by E. Komendantskaya. All these systems were originally presented in the semantical way and based on the theory of recursion. However, the proof theory of them still is not fully developed. Thus, natural deduction sys- tems are built only for strong Kleene’s logic both with one (...) (A. Urquhart, G. Priest, A. Tamminga) and two designated values (G. Priest, B. Kooi, A. Tamminga). The purpose of this paper is to provide natural deduction systems for weak and intermediate regular logics both with one and two designated values. (shrink)

This doctoral dissertation investigates the notion of physical necessity. Specifically, it studies whether it is possible to account for non-accidental regularities without the standard assumption of a pre-existent set of governing laws. Thus, it takes side with the so called deflationist accounts of laws of nature, like the humean or the antirealist. The specific aim is to complement such accounts by providing a missing explanation of the appearance of physical necessity. In order to provide an explanation, I recur to fields (...) that have not been appealed to so far in discussions about the metaphysics of laws. Namely, I recur to complex systems’ theory, and to the foundations of statistical mechanics. The explanation proposed is inspired by how complex systems’ theory has elucidated the way patterns emerge, and by the probabilistic explanations of the 2nd law of thermodynamics. More specifically, this thesis studies how some constraints that make no direct reference to the dynamics can be a sufficient condition for obtaining in the long run, with high probability, stable regular behavior. I hope to show how certain metaphysical accounts of laws might benefit from the insights achieved in these other fields. According to the proposal studied in this thesis, some regularities are not accidental not in virtue of an underlying physical necessity. The non-accidental character of certain regular behavior is only due to its overwhelming stability. Thus, from this point of view the goal becomes to explain the stability of temporal patterns without assuming a set of pre-existent guiding laws. It is argued that the stability can be the result of a process of convergence to simpler and stable regularities from a more complex lower level. According to this project, if successful, there would be no need to postulate a (mysterious) intermediate category between logical necessity and pure contingency. Similarly, there would be no need to postulate a (mysterious) set of pre-existent governing laws. Part I of the thesis motivates part II, mostly by arguing why further explanation of the notions of physical necessity and governing laws should be welcomed (chapter 1), and by studying the plausibility of a lawless fundamental level (chapters 2 and 3). Given so, part II develops the explanation of formation of simpler and stable behavior from a more complex underlying level. (shrink)

This pair of articles provides a critical commentary on contemporary approaches to statistical mechanical probabilities. These articles focus on the two ways of understanding these probabilities that have received the most attention in the recent literature: the epistemic indifference approach, and the Lewis-style regularity approach. These articles describe these approaches, highlight the main points of contention, and make some attempts to advance the discussion. The second of these articles discusses the regularity approach to statistical mechanical probabilities, and describes (...) some areas where further research is needed. (shrink)

Fred Dretske, Michael Tooley, and David Armstrong accept a theory of governing laws of nature according to which laws are atomic states of affairs that necessitate corresponding natural regularities. Some philosophers object to the Dretske/Tooley/Armstrong theory on the grounds that there is no illuminating account of the necessary connection between governing law and natural regularity. In response, Michael Tooley has provided a reductive account of this necessary connection in his book Causation (1987). In this essay, I discuss an improved (...) version of his account and argue that it fails. First, the account cannot be extended to explain the necessary connection between certain sorts of laws—namely, probabilistic laws and laws relating structural universals—and their corresponding regularities. Second, Tooley’s account succeeds only by (very subtly) incorporating primitive necessity elsewhere, so the problem of avoiding primitive necessity is merely relocated. (shrink)

Rational agents seem more confident in any possible event than in an impossible event. But if rational credences are real-valued, then there are some possible events that are assigned 0 credence nonetheless. How do we differentiate these events from impossible events then when we order events? de Finetti (1975), Hájek (2012) and Easwaran (2014) suggest that when ordering events, conditional credences and subset relations are as relevant as unconditional credences. I present a counterexample to all their proposals in this paper. (...) While their proposals order possible and impossible events correctly, they deliver the wrong verdict for disjoint possible events assigned equal positive credence. (shrink)

This study has proven that the economic system is determined by various components, in particular, it includes the real sector of the economy, which is formed on mega-, macro, meso-, micro-and nano-levels. In addition, it was proved that the nano-level is determined by the activities of individuals whose economic activity begins with the birth and attitude of parents, attending various educational and upbringing institutions, and studying at university. A separate segment of the nano-level of the economic system is the baby (...) industry responsible for the production of goods and services for children and future parents. All these aspects are indicators of the development of the baby economy. Such an economic category as the baby economy was separated and defined. The study uses the following methods: analysis, synthesis, structural analysis, systemic approach, observation, comparison, multifactor regression. These methods made it possible to achieve the results, which involve isolation of the baby economy as a component of nanoeconomy and definition of such components of the baby economic segment of nanoeconomy as a family or household economy, the baby industry, the economy of the educational process and upbringing. For this purpose, the value-institutional approach was applied. In addition, multifactorial analysis of the impact of indicators of the baby economy development on the population of a country with a transitive economy with incomes below the subsistence minimum was performed. This analysis identified a direct but minor relationship between these phenomena, which demonstrates the need to intensify and create a policy for the baby economy in similar states. The theoretical significance of the obtained results is determined by the introduction of a new economic category of "the baby economy" for the formation of a nano economic component within socio-economic systems. (shrink)

Some have tried to make miracles compatible with the laws of nature by re-defining them as something other than interventions. By contrast, this article argues that although miracles are divine interventions, they are not violations of the laws of nature. Miracles are also not exceptions to the laws, nor do the laws not apply to them. The laws never have exceptions; they never are violated or suspended, are probably necessary and unchangeable, and apply also to divine interventions. We need to (...) reconsider not miracles but laws. The main claim of this article is that laws of nature do not entail regularities, and therefore that miracles do not violate the laws. We need a new theory of the laws of nature: the tendency theory. (shrink)

This study aims to generate thorough and comprehensive review of the teacher’s perspective and hands-on experience in mainstreaming LSENs in a regular classroom, including teachers’ attitudes and perceptions, challenges encountered, and teaching approach in handling mainstreamed classrooms. A scoping review framework by Arksey and O’Malley’s (2005) systematically analyzed the data of the different articles conducted by various scholars. Through scrupulous and through selection of related studies, 10 articles were included in the review from 6 different countries across the globe. The (...) articles included were conducted from 6 countries and various databases. The study highlighted that: 1) teachers have positive and negative attitudes towards mainstreaming, 2) teachers experienced various challenges in handling a mainstream classroom, and 3) learner-centered approach to learning is used in the classroom. Mainstreaming LSENs in a regular classroom has pros and cons among teachers, regular students, and the LSENs themselves. Hence, a daunting responsibility for the teachers. Nevertheless, it is imperative to support teachers by giving seminars and training, especially to those non-special education majors, to be fully equipped to handle mainstreamed classrooms. (shrink)

a simple derivation of the effect induced from repeated measurements on quantum unstable systems is obtained by using the regularized incomplete beta - function .

This article brings an account of reasonable expectations to bear on the question of when unauthorized immigrants have a right to be regularized—that is, to be formally guaranteed freedom from the threat of deportation. Contrary to the current literature, which implicitly relies on a flawed understanding of reasonable expectations, this article argues that only those unauthorized immigrants who have both been tacitly permitted by the state despite lacking formal authorization and have remained long enough to develop deep social roots in (...) the state have a right to regularization. (shrink)

The principle of causation is a highly significant concept in the philosophy of science. When we contemplate why the events we encounter in nature occur, we discover the existence of this principle. However, should this principle be interpreted as a product of the knowing subject or as a tool for understanding the regularity of nature independent of the subject's mental production? This study will be shaped by the views of two philosophers (Hume and Kant) who have thought about the (...) principle of causation and will argue that the laws of nature, including this principle, serve as a means to comprehend that nature has a regular structure. Based on the premise that nature is orderly and independent of the human mind, such an approach has become more intriguing in contemporary approaches than the approach that transforms causation into a categorical form. While the compatibility of the human mind with the laws of nature seems important for understanding nature, it is evident that such principles would continue to maintain regularity in nature even in the event of the extinction of the human race. The study aims to shape the position of the principle of causation through the concepts of idea and nature, based on the assumption that nature is in regularity and that we can comprehend this regularity through natural laws like causation. At the same time, it provides details on Hume and Kant's understanding of causation. It summarizes the current causation debate in contemporary philosophy of science through the Humean literature. Keywords: Causation, idea, mind, nature, category, Hume, Kant. (shrink)

In a recent piece, Jon Bebb (2023) has argued that we have no reason to believe, contrary to what is often assumed, that ‘normal’ is ambiguous between a statistical and a normative sense. I argue that his case rests on two false premisses, and that we have very good reasons to believe that ‘normal’ is, in fact, ambiguous in this way. As part of my argument, I will go on to suggest that if ‘normal’ is ambiguous between a statistical and (...) a normative sense, that is because of the deep but seldom recognised connection between regularities and rules. This suggestion, if correct, will in turn help us elucidate three familiar thoughts about normality. (shrink)

In The Context of Laws of Nature Structural Humeanism vs. Classical Humeanism -/- In the context of the laws of nature, philosophers of science have developed some views in order to adopt an attitude towards recurring events in nature. In this respect, it has been discussed whether there is any driving force underlying the regular behaviours and movements we encounter in nature, and two approaches have emerged as a result of the discussion: A view that there are certain driving forces (...) or causal relations in the ground, and an opposing view that claims that there are no causal relations in the ground, but there are regularities in nature. Views such as the latter are generally described as the Humean view. Such views are also called regularity theories. Throughout this article, the statements referred to as regularity are characterised as the Humean view. Since the article will be centred on the Humean view, views such as the first view, such as dispositional essentialism or structural realism, are not the concern of this article. The article favours the Structural Humean approach over the classical Humean approach. The classical Humean approach is centred on the views of David Lewis and is concerned with distinguishing between laws of nature seen as accidental generalisations and regularities. While it tries to make such a distinction by constructing nature through a mosaic, the Structural Humean approach is an approach that develops Lewis’s claims and tries to shape nature with the concept of structure rather than mosaic. Thus, it is seen as an approach that provides more information than the Classical Humean approach in terms of creating a philosophical infrastructure for explaining nature in terms of modern physics. Through Psillos, Structural Humeanism tried to place the concept of natural pattern into the structure in order to gain metaphysical solidity and tried to bring the Structural Humean approach closer to the Structural Realism camp. Thus, the classically epistemologically important Humean approach has made a significant progress in positioning it on the realist wing. As a result of all these studies, the Structural Humean approach has been defended as a philosophical approach that offers useful arguments for modern physics compared to the Classical Humean approach. -/- Keywords: Humeanism, Regularity, Laws of Nature, Best System Account, Structural Humeanism, Natural Patterns. (shrink)

Singularists about causation often claim that we can have experiences as of causation. This paper argues that regularity theorists need not deny that claim; hence the possibility of causal experience is no objection to regularity theories of causation. The fact that, according to a regularity theorist, causal experience requires background theory does not provide grounds for denying that it is genuine experience. The regularity theorist need not even deny that non-inferential perceptual knowledge of causation is possible, (...) despite the fact that such knowledge would sometimes allow us to make inferences about what happens in far-off places and times. (shrink)

Perceptual neuroscience has identified mechanisms of perceptual grouping which account for the ways in which visual sensitivity to ordered structure and regularities expresses itself, in behavior and in the brain. The need to actively construct order, notably representations of objects in depth, is mandated as soon as visual signals reach the retina, given the occlusion of retinal signals by retinal veins and other retinal elements or blur. Multiple stages of neural processing transform fragmented signals into visual key representations of 3D (...) scenes that can be used to control effective behaviors. Since our survival depends on our ability to pick up order in the physical world, and since we conceive the physical world as an ordered one, our perception must somehow be sensitive to order. The articles from this collection illustrate how texture dissimilarity, boundary completion, surface filling-in, and figure-ground segregation generate perceptual order. (shrink)

When Gilles Deleuze, in his book on Michel Foucault, asks, ‘who would think of looking for life among the archives?’, he uncovers something particular to Foucault's philosophy, but also to his own: a commitment to the question of what it means to think, and think politically. Although Foucault and Deleuze, who first met in 1952, immediately felt fondness for each other, a growing animosity had settled into the friendship by the end of the 1970s – a rift deepened by theoretical (...) differences. Notwithstanding these difficulties, Foucault and Deleuze shared a love for Nietzsche, as well as a curious fascination with Kant. Kant's influence, which was met with more opposition, is precisely the tension I tease out in this article, showing how Foucault critiques Kant's a priori through his own concept of the historical a priori, along with regularity and resistance, while Deleuze and Guattari, if more obliquely, critique Kant's a priori by further developing Foucault's notion of the historical a priori through their own method of pragmatics, particularly in three chapters of A Thousand Plateaus, namely ‘The Geology of Morals’, ‘Postulates of Linguistics’ and ‘On Several Regimes of Signs’. What I am interested in, then, is Deleuze and Guattari's treatment of redundancy, a concept mentioned seventy times in A Thousand Plateaus. Although not one of their main or most developed concepts, redundancy is a thread that can be traced back to Deleuze's first book, Empiricism and Subjectivity. Moreover, their more developed concepts, for example the diagram, the abstract machine, becoming, micro-politics and the ritornello, as well as their political philosophy, are grounded in their understanding of redundancy, which moves their philosophy beyond mapping out the conditions of possibility and demonstrating that the historical a priori emerges as a contingent function of its own expression to the genesis of thought. (shrink)

We extend the framework of Inductive Logic to Second Order languages and introduce Wilmers' Principle, a rational principle for probability functions on Second Order languages. We derive a representation theorem for functions satisfying this principle and investigate its relationship to the first order principles of Regularity and Super Regularity.

It is common in psychiatry and other sciences to describe an individual or a type of individual in terms of its disposition to manifest specific effects in a particular range of circumstances. According to one understanding, dispositions are statistical regularities of an individual or type of individual in specific circumstances. According to another understanding, dispositions are properties of individuals in virtue of which such regularities hold. This entry considers a number of ways of making each of these senses of disposition (...) more precise while discussing a number of dangers lurking in careless use of the concept of a disposition. (shrink)

The Marburg neo-Kantians argue that Hermann von Helmholtz's empiricist account of the a priori does not account for certain knowledge, since it is based on a psychological phenomenon, trust in the regularities of nature. They argue that Helmholtz's account raises the 'problem of validity' (Gueltigkeitsproblem): how to establish a warranted claim that observed regularities are based on actual relations. I reconstruct Heinrich Hertz's and Ludwig Wittgenstein's Bild theoretic answer to the problem of validity: that scientists and philosophers can depict the (...) necessary a priori constraints on states of affairs in a given system, and can establish whether these relations are actual relations in nature. The analysis of necessity within a system is a lasting contribution of the Bild theory. However, Hertz and Wittgenstein argue that the logical and mathematical sentences of a Bild are rules, tools for constructing relations, and the rules themselves are meaningless outside the theory. Carnap revises the argument for validity by attempting to give semantic rules for translation between frameworks. Russell and Quine object that pragmatics better accounts for the role of a priori reasoning in translating between frameworks. The conclusion of the tale, then, is a partial vindication of Helmholtz's original account. (shrink)

Most defenders of the new mechanistic approach accept ontic constraints for successful scientific explanation (Illari 2013; Craver 2014). The minimal claim is that scientific explanations have objective truthmakers, namely mechanisms that exist in the physical world independently of any observer and that cause or constitute the phenomena-to- be-explained. How can this idea be applied to type-level explanations? Many authors at least implicitly assume that in order for mechanisms to be the truthmakers of type-level explanation they need to be regular (Andersen (...) 2012; Sheredos 2015). One problem of this assumption is that most mechanisms are (highly) stochastic in the sense that they “fail more often than they succeed” (Bogen 2005; Andersen 2012). How can a mechanism type whose instances are more likely not to produce an instance of a particular phenomenon type be the truthmaker of the explanation of that particular phenomenon type? In this paper, I will give an answer to this question. I will analyze the notion of regularity and I will discuss Andersen's suggestion for how to cope with stochastic mechanisms. I will argue that her suggestion cannot account for all kinds of stochastic mechanisms and does not provide an answer as to why regularity grounds type-level explanation. According to my analysis, a mechanistic type- level explanation is true if and only if at least one of the following two conditions is satisfied: the mechanism brings about the phenomenon more often than any other phenomenon (comparative regularity) or the phenomenon is more often brought about by the mechanism than by any other mechanism/causal sequence (comparative reverse regularity). (shrink)

The Minimal Theory of Causation, presented in Graßhoff and May, 2001, aspires to be a version of a regularity analysis of causation able to correctly predict our causal intuitions. In my article, I will argue that it is unsuccessful in this respect. The second aim of the paper will be to defend Hitchcock’s proposal concerning divisions of causal relations against criticism made, in Jakob, 2006 on the basis of the Minimal Theory of Causation.

State of art paper on the topic causation, around the problem of the nature of causation. Central theories of contemporary philosophical literature are discussed and analysed, namely, regularity theories of Hume and Mackie, counterfactual theories of Lewis, probabilistic theories of Reichenbach, Lewis and Menzies and causal processes theories of Salmon and Dowe.

In this paper, I argue that if one is already an advocate of scientific realism, then one would be also a realist about laws of nature. To show this, I argue that only scientific realists would accept that non-accidental regularities require explanation and that their genuine explanation is given by laws of nature. Then, from this conclusion, it seems that scientific realists have reason to believe that there are laws of nature in an objective sense. If this is correct, the (...) conclusion is that there are no reasons for advocates of scientific realism to be skeptics about laws of nature. (shrink)

In this paper we have defined neutrosophic ideals, neutrosophic interior ideals, netrosophic quasi-ideals and neutrosophic bi-ideals (neutrosophic generalized bi-ideals) and proved some results related to them. Furthermore, we have done some characterization of a neutrosophic LA-semigroup by the properties of its neutrosophic ideals. It has been proved that in a neutrosophic intra-regular LA-semigroup neutrosophic left, right, two-sided, interior, bi-ideal, generalized bi-ideal and quasi-ideals coincide and we have also proved that the set of neutrosophic ideals of a neutrosophic intra-regular LA-semigroup forms (...) a semilattice structure. (shrink)

The last few decades have witnessed intense debates in Hume scholarship concerning Hume’s account of causation. At the core of the “old–new Hume” debate is the question of whether causation for Hume is more than mere regularity, in particular, whether Hume countenances necessary connections in mind-independent nature. This chapter assesses this debate against the background of Hume’s “foundational project” in the Treatise. The question of the role and import of Hume’s account of the idea of cause is examined and (...) compared with Hume’s treatment of other ideas. (shrink)

There are roughly two main understanding in philosophy of science: Epistemology of Science and Metaphysics of Science. It is examined that some concept such as Laws of Nature, Causation, Time and Space into the metaphysics of Science. In this paper, it has been studied laws of nature which is one the most important subjects in metaphysics of science. Let’s think outside the box, there are three significant views about laws of nature; Regularity Theory, Necessitation Theory and Dispositional Essential views. (...) It has been worked the views of David Lewis in regularity theory. In the section of nomic necessitation we have been scrutinised the arguments put forward by David Armstrong and finally the last section; it has been discussed Alexander Bird’s views of dispositional essentialism comparing with the other two aspects. (shrink)

In this paper, I aim to explore Lewis’s best system analysis and how it can accommodate laws with exceptions. The Best System Account has been introduced to provide an alternative view for both minimalist and counterfactual theories of regularities. Simple regularity theory faces problems in which there is some generalization that seems to be a law or some regularities that are established accidentally. It tries to exclude the accidental generalization from the account. However, the best system analysis can solve (...) the problem of how to distinguish between laws and accidents. (shrink)

Commentators regularly attribute to Frege realist, idealist, and quietist responses to metaphysical questions concerning the abstract objects he calls ‘thoughts’. But despite decades of effort, the evidence offered on behalf of these attributions remains unconvincing. I argue that Frege deliberately avoids commitment to any of these positions, as part of a metaphysical separatist policy motivated by the fact that logic is epistemologically autonomous from metaphysics. Frege’s views and arguments prove relevant to current attempts to argue for epistemological autonomy, particularly that (...) of ethics. (shrink)

We regularly make graded normative judgements in the epistemic domain. Recent work in the literature examines degrees of justification, degrees of rationality, and degrees of assertability. This paper addresses a different dimension of the gradeability of epistemic normativity, one that has been given little attention. How should we understand degrees of epistemic criticizability? In virtue of what sorts of factors can one epistemic failing be worse than another? The paper develops a dual-factor view of degrees of epistemic criticizability. According to (...) the view, degrees of epistemic criticizability are (i) an inverse function of degrees of doxastic justification and (ii) a function of degrees of agent culpability. The paper develops an account of each factor, and explains how they should be weighted. The paper also addresses the importance of modelling degrees of epistemic criticizability in a broader context. I focus on the role that such a model can play in the ethics of epistemic criticism. (shrink)

We regularly intentionally expose ourselves to fictions we take to be likely to elicit in us emotions we generally find unpleasant when prompted by actual states of affairs. This is the so-called “paradox of tragedy”. We contribute to solving the paradox of tragedy by denying that, when fiction-directed, most of these emotions are in themselves unpleasant. We first provide strong evidence that these emotions, such as fear, sadness, or pity, are often enjoyed when fiction-directed. We then advance an explanation of (...) what makes these fiction-directed emotions often not unpleasant, while their reality-directed counterparts are generally so. In the last section, we advance an explanation of what makes fiction-directed emotions often enjoyable, and argue that a complete solution to the paradox of tragedy should be pluralist. (shrink)

We regularly appeal to claims of the form it seems that p in defense of a claim p. When we do so, we typically take it seems that p to be a reason for thinking that p but also a reason that “gets at” a relevant body of facts and its support for p. Other things being equal, we should want to vindicate our ordinary beliefs on this matter. We should want to vindicate the claim that facts about things seeming (...) certain ways can be reasons to think that things are that way while at the same time being somehow derivative reasons, that is, reasons only because they “get at” support from a certain body of facts. However, on the dominant view of how things seem—subjectivism—it is hard to see how to secure this result. Subjectivism takes how things seem to be a matter of how things do or would seem to some relevant subject. What we need is a defensible, nonsubjectivist account of how things seem. I propose and defend an account according to which, roughly, it seems that p iff the body of facts in the relevant perspective supports that p. (shrink)