We consider a real-valued function f defined on the set of infinite branches X of a countably branching pruned tree T. The function f is said to be a limsup function if there is a function $u \colon T \to \mathbb {R}$ such that $f(x) = \limsup _{t \to \infty } u(x_{0},\dots,x_{t})$ for each $x \in X$. We study a game characterization of limsup functions, as well as a novel game characterization of functions of Baire class 1.

We consider decompositions of the real line into pairwise disjoint Borel pieces so that each piece is closed under addition. How many pieces can there be? We prove among others that the number of pieces is either at most 3 or uncountable, and we show that it is undecidable in and even in the theory if the number of pieces can be uncountable but less than the continuum. We also investigate various versions: what happens if we drop the Borelness requirement, (...) if we replace addition by multiplication, if the pieces are subgroups, if we partition (0, ∞), and so on. (shrink)

This paper is mostly about the role of modal system S5 in conceivability arguments against, as well as in the defense of, different versions of physicalism. Jonathon VandenHombergh argued in a recent article that “[s]o far as the modal epistemology of reduction is concerned, therefore, it pays to go intrinsic.” His reasoning is that while the weaker, extrinsic version of reductive physicalism is vulnerable to conceivability arguments, the stronger, intrinsic, version is uniquely resistant to this type of challenge. To get (...) to this surprising conclusion, VandenHombergh claims that the standard strategies of preempting the Dualist’s reasoning rely on some premise(s) that the Dualist can do without: one such premise is axiom-scheme S5. I will argue that the use of S5 is legitimate in countering the Dualist, as she herself relies on it, not to secure the _validity_ of her arguments as VandenHombergh assumes, but rather, its _soundness_. I will also argue that this axiom-scheme is tacitly present in the auxiliary premises the stronger, intrinsic version of physicalism relies on: Kripke’s postulates about identity and non-identity statements. Indeed, this paper will forge an interesting and potentially important connection between Kripke’s postulates and modal system S5. (shrink)

Dogmatists often exploit the skeptical argument based on the brains-in-a-vat scenario as a test case for their epistemological enterprises. I argue that this ‘argument’ does not deserve our attention, so it should not be used as a test case. I first show that the possibilities of empirical knowledge and of skeptical scenarios are inconsistent. If so, the BIV-skeptic must make the case for preferring such scenarios over the possibility of empirical knowledge. The central argument of my paper is that the (...) BIV-skeptic can neither rely on any selection principle for this purpose, nor can she claim that she needs no such principle. Then I will show that we can even dispense with the Inconsistency Thesis: if the skeptic wishes, she may allow for the possibility of empirical knowledge. The essay concludes with considering the morals of the above argument for the dogmatist endeavor. (shrink)

Our paper consists of three parts. In the first part we explain the concept of mental fictionalism. In the second part, we present the various versions of fictionalism and their main sources of motivation.We do this because in the third part we argue that mental fictionalism, as opposed to other versions of fictionalism, is a highly undermotivated theory.

In virtue of what does a sign have meaning? This is the question raised by Wittgenstein's rule-following considerations. Semantic dispositionalism is a (type of) theory that purports to answer this question. The present paper argues that semantic dispositionalism faces a heretofore unnoticed problem, one that ultimately comes down to its reliance on unanalyzed notions of repeated types of signs. In the context of responding to the rule-following paradox—and offering a putative solution to it—this amounts to simply assuming a solution to (...) the problem in one domain and using it to solve the same problem in another. Given, moreover, the level at which the rule-following paradox undercuts dispositionalism—the level of the notion of a sign's repetition—the objections made to the view also rule out causal/informational theories of meaning as well as communitarian/assertion-theoretic ones as potential solutions to the rule-following paradox. (shrink)

This study considers the role of different cognitive units in sound change: phonemes, contextual variants and words. We examine /u/-fronting and /j/-dropping in data from three generations of Derby English speakers. We analyze dynamic formant data and auditory judgments, using mixed effects regression methods, including generalized additive mixed models (GAMMs). /u/-fronting is reaching its end-point, showing complex conditioning by context and a frequency effect that weakens over time. /j/-dropping is declining, with low-frequency words showing more innovative variants with /j/ than (...) high-frequency words. The two processes interact: words with variable /j/-dropping (new) exhibit more fronting than words that never have /j/ (noodle) even when the /j/ is deleted. These results support models of change that rely on phonetically detailed representations for both word- and sound-level cognitive units. (shrink)

In this essay, I seek to demonstrate the interplay of philosophical voices – particularly, that of a platonist voice and a community-agreement-view voice – that drives Wittgenstein’s rule-following dialectic forward; and I argue that each voice succumbs to a particular form of dialectical oscillation that renders its response to the problem of rule-following philosophically inadequate. Finally, I suggest that, by seeing and taking stock of the dilemma in which these responses to the skeptical problem are caught, we can come to (...) appreciate Wittgenstein’s own view of what might constitute a proper a response to the so-called problem of rule-following. This view can be preliminarily characterized by saying that Wittgenstein’s aim is to dissolve the temptation to philosophically rebut the skeptical challenge posed by the rule-following dialectic, an aim he achieves by revealing the semantic emptiness of the apparent sentences that raise the skeptical problem. (shrink)

It seems an undisputed, fundamental principle that solid philosophical and scientific theories require sufficient reason to support them. Philosophically sufficient reasoning is impossible, however, if it is not backed with strong, undisputed, first principles. This seemingly obvious claim is, nevertheless, not without problems: First, what are the undisputed first principles? What are the basic---logical/epistemological/ontological---differences between undisputed first principles and other ones? What can ensure the special status of these first principles? ;Adequate and well-reasoned answers to these questions seem to be (...) essential to establish firm grounds for any philosophical/scientific investigation. But such adequate reasoning seems impossible, since reasoning itself is the object of our investigation. Alternatively, traditional logic cannot offer us any sufficient solution as logic itself relies on undisputed, first principles. ;The failure of traditional logic to justify its own first principles does not necessarily mean that logic itself requires a leap of faith. Instead of accepting our first principles without any dispute, we should find a way to dispute them and to select those which resist all well-founded objections. The central argument of my thesis is that a dialectical theory of philosophical games is able to offer us such a way. ;In the first chapter I present an epistemic meta-theory of philosophical games. I argue that games can replace formal arguments and their introduction into philosophical discourse enlarges and re-innovates our philosophical language with such new terms as winning and losing a game, game rules and movements, etc. Using these terms several basic concepts such as truth and falsity, presupposition, and the burden of proof can be creatively reinterpreted. ;The most fundamental epistemic principles are the topics of the first part. The second part considers circular arguments ; the third focuses on conceivability arguments and the last part discusses the famous skeptical argument involving the skeptic's scenario of brains in a vat. The final chapter summarizes the advantages and shortcomings of the game-theoretical approach. (shrink)

It is common in the literature on classical electrodynamics and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the pre-assumption that the equations of electrodynamics are covariant against these---unknown---transformation rules. There are several problems to be raised concerning these derivations. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following fundamental question: Are the so-obtained transformation rules indeed identical with the true transformation (...) rules of the fundamental electrodynamical quantities? In other words, is it indeed the case that the values calculated from the quantities in one inertial frame by means of the transformation rules we derived are equal to the values of the same quantities obtained by the same operations with the same measuring equipments when they are co-moving with the other inertial frame? This is of course an empirical question. In this paper, we will investigate the problem in a purely theoretical framework by applying what J. S. Bell calls “Lorentzian pedagogy”---according to which the laws of physics in any one reference frame account for all physical phenomena. We will show that the transformation rules of the electrodynamical quantities are indeed identical with the ones obtained by presuming the covariance of the equations of electrodynamics, and that the covariance is indeed satisfied. Beforehand, however, we need to clarify the operational definitions of the fundamental electrodynamical quantities. As we will see, these semantic issues are not as trivial as one might think. (shrink)

While there is a longstanding discussion about the interpretation of the extended, general principle of relativity, there seems to be a consensus that the special principle of relativity is absolutely clear and unproblematic. However, a closer look at the literature on relativistic physics reveals a more confusing picture. There is a huge variety of, sometimes metaphoric, formulations of the relativity principle, and there are different, sometimes controversial, views on its actual content. The aim of this paper is to develop a (...) precise language in order to provide a precise formulation of the principle. In view of the fact that the special relativity principle is considered as a universal meta-law, which must be valid for all physical laws in all situations, we try to keep the formalism as general as possible. The benefit of the formal reconstruction is that it makes explicit all the necessary conceptual components of the principle; it brings out many subtle details and the related conceptual problems. (shrink)

It is widely thought that, in §201 of the Philosophical Investigations, Wittgenstein reveals himself to oppose a definite view or theory of rule-following. I argue that, due to the self-undermining character of that section, no such interpretation should be accepted. Then I sketch a reading of Wittgenstein’s method that accounts for the paradoxical nature of §201, and I show how this methodology is realized in his remarks on following a rule.

This paper is a further consideration of Hemmo and Shenker’s ideas about the proper conceptual characterization of macrostates in statistical mechanics. We provide two formulations of how macrostates come about as elements of certain partitions of the system’s phase space imposed on by the interaction between the system and an observer, and we show that these two formulations are mathematically equivalent. We also reflect on conceptual issues regarding the relationship of macrostates to distinguishability, thermodynamic regularity, observer dependence, and the general (...) phenomenon of measurement. (shrink)

A widespread view among physicists is that Bell’s theorem rests on an implicit assumption of “classicality,” in addition to locality. According to this understanding, the violation of Bell’s inequalities poses no challenge to locality, but simply reinforces the fact that quantum mechanics is not classical. The paper provides a critical analysis of this view. First we characterize the notion of classicality in probabilistic terms. We argue that classicality thus construed has nothing to do with the validity of classical physics, nor (...) of classical probability theory, contrary to what many believe. At the same time, we show that the probabilistic notion of classicality is not an additional premise of Bell’s theorem, but a mathematical corollary of locality in conjunction with the standard auxiliary assumptions of Bell. Accordingly, any theory that claims to get around the derivation of Bell’s inequalities by giving up classicality, in fact has to give up one of those standard assumptions. As an illustration of this, we look at two recent interpretations of quantum mechanics, Reinhard Werner’s operational quantum mechanics and Robert Griffiths’ consistent histories approach, that are claimed to be local and non-classical, and identify which of the standard assumptions of Bell’s theorem each of them is forced to give up. We claim that while in operational quantum mechanics the Common Cause Principle is violated, the consistent histories approach is conspiratorial. Finally, we relate these two options to the idea of realism, a notion that is also often identified as an implicit assumption of Bell’s theorem. (shrink)

BackgroundNarcissism viewed as a personality process rather than a stable trait explains narcissistic functioning as a tool for maintaining a positive self-view. Studying narcissism therefore needs adequate momentary measures for collecting higher frequency longitudinal data in experience sampling method studies. In this study, a shorter version of the Pathological Narcisissm Inventory is offered to measure vulnerable and grandiose narcissistic states, applicable in momentary assessment.MethodsThe measurement tool was tested in three samples. First, we assessed the factor structure and associations with other (...) contemporary measures of narcissism in a cross-sectional design on one English speaking and one Hungarian sample. Second, we conducted a five-day long experience sampling method study with a total of 15 measurement points.ResultsBased on structural equation modelling and multilevel analyses, the results suggest that the measure has adequate psychometric properties in both the within and between subject levels as well as acceptable convergent and discriminant validity.ConclusionsThe Pathological Narcissism Inventory – State Version can be a useful tool in momentary data collection enabling the examination of personality processes behind narcissistic functioning. (shrink)

It is common in the literature on classical electrodynamics and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the hypothesis that the relativity principle applies to Maxwell's electrodynamics. As it will turn out from our analysis, these derivations raise several problems, and certain steps are logically questionable. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following questions: Is the RP a true (...) law of nature for electrodynamical phenomena? Are, at least, the transformation rules of the fundamental electrodynamical quantities, derived from the RP, true? Is the RP consistent with the laws of ED in a single inertial frame of reference? Are, at least, the derived transformation rules consistent with the laws of ED in a single frame of reference? Obviously, and are empirical questions. In this paper, we will investigate problems and. Abstract First we will give a general mathematical formulation of the RP. In the second part, we will deal with the operational definitions of the fundamental electrodynamical quantities. As we will see, these semantic issues are not as trivial as one might think. In the third part of the paper, applying what J. S. Bell calls “Lorentzian pedagogy”---according to which the laws of physics in any one reference frame account for all physical phenomena---we will show that the transformation rules of the electrodynamical quantities are identical with the ones obtained by presuming the covariance of the equations of ED, and that the covariance is indeed satisfied. Abstract As to problem, the situation is much more complex. As we will see, the RP is actually not a matter of the covariance of the physical equations, but it is a matter of the details of the solutions of the equations, which describe the behavior of moving objects. This raises conceptual problems concerning the meaning of the notion “the same system in a collective motion”. In case of ED, there seems no satisfactory solution to this conceptual problem; thus, contrary to the widespread views, the question we asked in the title has no obvious answer. (shrink)

According to the standard realistic interpretation of classical electrodynamics, the electromagnetic field is conceived as a real physical entity existing in space and time. The problem we address in this paper is how to understand this spatiotemporal existence, that is, how to describe the persistence of a field-like physical entity like electromagnetic field. First, we provide a formal description of the notion of persistence: we derive an “equation of persistence” constituting a necessary condition that the spatiotemporal distributions of the fundamental (...) attributes of a persisting physical entity must satisfy. We then prove a theorem according to which the vast majority of the solutions of Maxwell’s equations, describing possible spatiotemporal distributions of the fundamental attributes of the electromagnetic field, violate the equation of persistence. Finally, we discuss the consequences of this result for the ontology of the electromagnetic field. (shrink)

Contemporary debate over laws of nature centers around Humean supervenience, the thesis that everything supervenes on the distribution of non-nomic facts. The key ingredient of this thesis is the idea that nomic-like concepts—law, chance, causation, etc.—are expressible in terms of the regularities of non-nomic facts. Inherent to this idea is the tacit conviction that regularities, “constant conjunctions” of non-nomic facts do supervene on the distribution of non-nomic facts. This paper raises a challenge for this conviction. It will be pointed out (...) that the notion of regularity, understood as statistical correlation, has a necessary conceptual component not clearly identified before—I shall call this the “conjunctive relation” of the correlated events. On the other hand, it will be argued that there exists no unambiguous, non-circular way in which this relation could be determined. In this regard, the notion of correlation is similar to that of distant simultaneity where the necessary conceptual component is the one-way speed of light, whose value doesn’t seem to be determined by matters of facts. (shrink)

The aim of the paper is to develop a proper mathematical formalism which can help to clarify the necessary conceptual plugins to the special principle of relativity and leads to a deeper understanding of the principle in its widest generality.

Neuroenhancement involves the use of neurotechnologies to improve cognitive, affective or behavioural functioning, where these are not judged to be clinically impaired. Questions about enhancement have become one of the key topics of neuroethics over the past decade. The current study draws on in-depth public engagement activities in ten European countries giving a bottom-up perspective on the ethics and desirability of enhancement. This informed the design of an online contrastive vignette experiment that was administered to representative samples of 1000 respondents (...) in the ten countries and the United States. The experiment investigated how the gender of the protagonist, his or her level of performance, the efficacy of the enhancer and the mode of enhancement affected support for neuroenhancement in both educational and employment contexts. Of these, higher efficacy and lower performance were found to increase willingness to support enhancement. A series of commonly articulated claims about the individual and societal dimensions of neuroenhancement were derived from the public engagement activities. Underlying these claims, multivariate analysis identified two social values. The Societal/protective highlights counter normative consequences and opposes the use enhancers. The Individual/proactionary highlights opportunities and supports use. For most respondents these values are not mutually exclusive. This suggests that for many neuroenhancement is viewed simultaneously as a source of both promise and concern. (shrink)

This book presents the psychological basis, methodology, and application of Marton's phenomenographic approach to the theory of learning.

In the last 20 years network science has become an independent scientific field. We argue that by building network models network scientists are able to tame the vagueness of propositions about complex systems and networks, that is, to make these propositions precise. This makes it possible to study important vague properties such as modularity, near-decomposability, scale-freeness or being a small world. Using an epistemic model of network science, we systematically analyse the specific nature of network models and the logic behind (...) the taming mechanism. (shrink)

Receptive Spirit develops the thesis that the notion of self-induced mental activity at the heart of German idealism necessitated a radical rethinking of humans’ dependence on culturally transmitted models of thought, evaluation, and creativity. The chapters of the book examine paradigmatic attempts undertaken by German idealist thinkers to reconcile spontaneous mental activity with receptivity to culturally transmitted models. The book maps the ramifications of this problematic in Kant’s theory of aesthetic experience, Fichte’s and Hegel’s views on the historical character of (...) philosophy, the Fichtean model of philosophical communication, and Friedrich Schlegel’s theory and practice of literary communication and criticism. Drawing on Gadamer and McDowell, I argue that the conceptual framework established by the Idealists remains indispensable for orientation in the contemporary intellectual landscape. (See the PDF file below for a synopsis). (shrink)