A theory of magnitudes involves criteria for their equivalence, comparison and addition. In this article we examine these aspects from an abstract viewpoint, by focusing on the so-called De Zolt’s postulate in the theory of equivalence of plane polygons. We formulate an abstract version of this postulate and derive it from some selected principles for magnitudes. We also formulate and derive an abstract version of Euclid’s Common Notion 5, and analyze its logical relation to the former proposition. These results prove (...) to be relevant for the clarification of some key conceptual aspects of Hilbert’s proof of De Zolt’s postulate, in his classical Foundations of Geometry. Furthermore, our abstract treatment of this central proposition provides interesting insights for the development of a well-behaved theory of compatible magnitudes. (shrink)

The study aims to help characterize the sort of structures about which people can acquire unconscious knowledge. It is already well established that people can implicitly learn n-grams and also repetition patterns. We explore the acquisition of unconscious structural knowledge of symmetry. Chinese Tang poetry uses a specific sort of mirror symmetry, an inversion rule with respect to the tones of characters in successive lines of verse. We show, using artificial poetry to control both n-gram structure and repetition patterns, that (...) people can implicitly learn to discriminate inversions from non-inversions, presenting a challenge to existing models of implicit learning. (shrink)

This paper analyzes the theory of area developed by Euclid in the Elements and its modern reinterpretation in Hilbert’s influential monograph Foundations of Geometry. Particular attention is bestowed upon the role that two specific principles play in these theories, namely the famous common notion 5 and the geometrical proposition known as De Zolt’s postulate. On the one hand, we argue that an adequate elucidation of how these two principles are conceptually related in the theories of Euclid and Hilbert is highly (...) relevant for a better understanding of the respective geometrical practices. On the other hand, we claim that these conceptual relations unveil interesting issues between the two main contemporary approaches to the study of area of plane rectilinear figures, i.e., the geometrical approach consisting in the geometrical theory of equivalence and the metrical approach based on the notion of measure of area. Finally, in an appendix logical relations among equivalence, comparison and addition of magnitudes are examined schematically in an abstract setting. (shrink)

A theory of magnitudes involves criteria for their comparison, equivalence and addition. We examine these aspects from an abstract viewpoint, stressing independence and definability. These considerations are triggered by the so-called De Zolt’s principle in the theory of equivalence of plane polygons.

Vryheid is naas regverdiging een van die belangrikste temas van die Reformatoriese teologie. Luther se geskrif 'Oor die vryheid van 'n Christenmens' is een van sy hoofgeskrifte. In hierdie geskrif beskryf hy die vryheid van die innerlike en die uiterlike mens. Die innerlike mens is vry en niemand se onderdaan nie. Die uiterlike mens is weer elke ander mens se onderdaan en dienskneg. Die Christen dien sy medemens deur die liefde. Luther se verstaan van naasteliefde word vanuit ander geskrifte toegelig. (...) Johannes Calvyn se verstaan van vryheid volgens sy 'Institusie' van 1559 word ook bespreek. Daar word op die groot ooreenstemming tussen Luther en Calvyn gewys. Die verskille tussen die twee Reformatore is minimaal. Calvyn het egter wel groter aandag aan die adiafora-vraagstuk gegee. Daar word ook deurgaans na Philipp Melanchthon se invloed op Calvyn gewys. Die relevansie van die vryheidsvraagstuk lê nie in die instrumentalisering van die Christelike vryheid nie, maar in die hernude bestudering van die klassieke tekste met die bedoeling om die belangrike reformatoriese motiewe te herontdek. Hierdie motiewe is relevant - ook in ons samelewing. (shrink)

We explore three methods for measuring the conscious status of knowledge using the artificial grammar learning paradigm. We show wagering is no more sensitive to conscious knowledge than simple verbal confidence reports but is affected by risk aversion. When people wager rather than give verbal confidence they are less ready to indicate high confidence. We introduce a “no-loss gambling” method which is insensitive to risk aversion. We show that when people are just as ready to bet on a genuine random (...) process as their own classification decisions, their classifications are still above baseline, indicating knowledge participants are not aware of having. Our results have methodological implications for any study investigating whether people are aware of knowing. (shrink)

The implicit-explicit distinction is applied to knowledge representations. Knowledge is taken to be an attitude towards a proposition which is true. The proposition itself predicates a property to some entity. A number of ways in which knowledge can be implicit or explicit emerge. If a higher aspect is known explicitly then each lower one must also be known explicitly. This partial hierarchy reduces the number of ways in which knowledge can be explicit. In the most important type of implicit knowledge, (...) representations merely reflect the property of objects or events without predicating them of any particular entity The dearest cases of explicit knowledge of a fact are representations of one's own attitude of knowing that fact. These distinctions are discussed in their relationship to similar distinctions such as procedural-declarative, conscious unconscious, verbalizable-nonverbalizable, direct-indirect tests, and automatic voluntary control. This is followed by an outline of how these distinctions can be used to integrate and relate the often divergent uses of the implicit-explicit distinction in different research areas. We illustrate this for visual perception, memory, cognitive development, and artificial grammar learning. (shrink)

An accessible and illuminating exploration of the conceptual basisof scientific and statistical inference and the practical impact this has on conducting psychological research. The book encourages a critical discussion of the different approaches and looks at some of the most important thinkers and their influence.

Skeptical theists are seeking for some reasonable solutions to the evidential problem of evil. One of the most fundamental responses of skeptical theism is that the concept of “gratuitous evil”, which cannot be a proof of the absence of God. Therefore, it is not the existence of God that skeptical theism suspects. Instead, skeptical theism contemplates whether the evil in the world really has a “gratuitous” basis. This paper focuses on Peter van Inwagen's “no-minimum claim”. No-minimum claim” stands in opposition (...) to the views that assume that God minimizes the evils that exist in the world in order to achieve justice. “No-minimum claim” acknowledges that these evils still have enormous amounts to people. Thus “no-minimum claim” suggests that the evils experienced in the world are incompatible with the “best of all possible worlds” views or the other explanations of classical theodicy. According to the “no minimum claim”, the reason why the amount of evil in the world still seems so high may be God’s deliberate calculations in effecting the distribution of these evils. In order to reach these calculations, it is not necessary for the amount of evil that God allowed to reflect on the world to be perfectly manifested at the minimum level. The purpose of this paper is to consider the skeptical theism approach within the framework of Peter van Inwagen's “no-minimum claim” and to limit his arguments to an alternative approach to skeptic theism. Our claim is that such view coincides with skeptical theism, but the “no- minimum claim” still has some ambiguities at the point of the limits of evil. From this, we can conclude that the “no minimum claim” has received many objections in the skeptical theism literature and these objections are justified at certain points. (shrink)

This book presents an overview of these studies and attempts to clarify apparently disparate results by placing them in a coherent theoretical framework.

For each natural number n, let C (n) be the closed and unbounded proper class of ordinals α such that V α is a Σ n elementary substructure of V. We say that κ is a C (n) -cardinal if it is the critical point of an elementary embedding j : V → M, M transitive, with j(κ) in C (n). By analyzing the notion of C (n)-cardinal at various levels of the usual hierarchy of large cardinal principles we show (...) that, starting at the level of superstrong cardinals and up to the level of rank-into-rank embeddings, C (n)-cardinals form a much finer hierarchy. The naturalness of the notion of C (n)-cardinal is exemplified by showing that the existence of C (n)-extendible cardinals is equivalent to simple reflection principles for classes of structures, which generalize the notions of supercompact and extendible cardinals. Moreover, building on results of Bagaria et al. (2010), we give new characterizations of Vopeňka’s Principle in terms of C (n)-extendible cardinals. (shrink)

Many clinical ethicists have argued that ethics expertise is impossible. Their skeptical argument usually rests on the assumptions that to be an ethics expert is to know the correct moral conclusions, which can only be arrived at by having the correct ethical theories. In this paper, I argue that this skeptical argument is unsound. To wit, ordinary ethical deliberations do not require the appeal to ethical or meta-ethical theories. Instead, by agreeing to resolve moral differences by appealing to reasons, the (...) participants agree to the Default Principle—a substantive rule that tells us how to adjudicate an ethical disagreement. The Default Principle also entails a commitment to arguments by parity, and together these two methodological approaches allow us to make genuine moral progress without assuming any deep ethical principles. Ethical expertise, in one sense, is thus the ability and knowledge to deploy the Default Principle and arguments by parity. (shrink)

This paper considers two subjective measures of the existence of unconscious mental states - the guessing criterion, and the zero correlation criterion - and considers the assumptions underlying their application in experimental paradigms. Using higher order thought theory the impact of different types of biases on the zero correlation and guessing criteria are considered. It is argued that subjective measures of consciousness can be biased in various specified ways, some of which involve the relation between first order states and second (...) order thoughts, and hence are not errors in measurement of the conscious status of mental states; but other sorts of biases are measurement errors, involving the relation between higher order thoughts and their expression. Nonetheless, it is argued this type of bias does not preclude subjective measures - both the guessing criterion and the zero correlation criterion - as being amongst the most appropriate and useful tools for measuring the conscious status of mental states. (shrink)

We examined two potential correlates of hypnotic suggestibility: dissociation and cognitive inhibition. Dissociation is the foundation of two of the major theories of hypnosis and other theories commonly postulate that hypnotic responding is a result of attentional abilities . Participants were administered the Waterloo-Stanford Group Scale of Hypnotic Susceptibility, Form C. Under the guise of an unrelated study, 180 of these participants also completed: a version of the Dissociative Experiences Scale that is normally distributed in non-clinical populations; a latent inhibition (...) task, a spatial negative priming task, and a memory task designed to measure negative priming. The data ruled out even moderate correlations between hypnotic suggestibility and all the measures of dissociation and cognitive inhibition overall, though they also indicated gender differences. The results are a challenge for existing theories of hypnosis. (shrink)

The association of Berdiaev's name with the phenomenon of perestroika seems strange at first glance and even illogical. But perestroika, which is proceeding—or, more precisely, is trying to proceed—under the sign of an intellectual renaissance, has naturally aroused interest in the names of Russian philosophers who have undeservedly been forgotten. One of these is N.A. Berdiaev . He was a Russian patriot and was profoundly concerned with Russia's fate. Living in a critical period, Berdiaev reflected a great deal over the (...) past, present, and future of his Motherland, advanced the idea of its transformation, and even used the term "perestroika" in doing so. His thoughts concerning Russia's political renewal are profound, and some of them are applicable to the present life of our society. (shrink)

Sandberg et al. show that the Perceptual Awareness Scale scale is sensitive compared to confidence ratings and wagering in detecting accurate perception. They go on to argue that the PAS scale is hence a sensitive measure of conscious perception compared to confidence ratings, a claim disputed here. The fact that some visual content is conscious does not entail that the visual content relevant to making a discrimination is conscious. For example, if one saw a square but was only aware of (...) seeing a flash of something, then one has not consciously seen a square. When PAS and confidence ratings come in conflict, we suggest that it is confidence ratings that more reliably indicate the conscious status of contents allowing discrimination. (shrink)

Kavramlar doğru anlamlandırılmadığı takdirde meselelerin anlaşılması noktasında yanlış sonuçlara varmanın kaçınılmaz olduğu bir hakikattir. Fıtrat kavramı bu manada insanın neliği bağlamında başat kavram olarak her daim farklı değerlendirmelere konu olmuştur. İnsanın, gerek kendisini var eden Allah ile olan ilişkisi gerekse hemcinsleriyle ve içerisinde yaşadığı âlemle ilişkisi çerçevesinde bu kavramın anlam alanının tespiti yine ait olduğu dünya üzerinden yapıldığı zaman konu hakkında doğru sonuçların elde edilmesine imkân tanıyacaktır. Kur’ân ve hadislerde yerini bulan fıtrat kavramının anlam alanına yönelik çalışmaların bu alanlarda derinlemesine (...) tahlili noktasında söz konusu metinleri, kendi iç bütünlükleri ve birbirleriyle olan ilişkileri bağlamında meseleyi ele alması, en sağlıklı yol olacaktır. Bu çalışmada kavramın önce sözlük anlamı, türevleri üzerinden ele alınmış daha sonra Kur’ân ve hadislerde geçtiği durumları, belirtilen usûl üzerinden değerlendirmeye tâbi tutulmuştur. Sonuç olarak luğavî anlamı da dikkate alınarak fıtrat kavramı ile Kur’ân’da insanın Allah’la ilişkisine, hadislerde ise insanın doğasındaki sâfiyete ve insanlarla olan ilişkisinde dikkat gerektiren yönüne vurgu yapıldığı ortaya konulmaya çalışılmıştır. (shrink)

A series of five experiments investigated the extent of subliminal processing of negation. Participants were presented with a subliminal instruction to either pick or not pick an accompanying noun, followed by a choice of two nouns. By employing subjective measures to determine individual thresholds of subliminal priming, the results of these studies indicated that participants were able to identify the correct noun of the pair – even when the correct noun was specified by negation. Furthermore, using a grey-scale contrast method (...) of masking, Experiment 5 confirmed that these priming effects were evidenced in the absence of partial awareness, and without the effect being attributed to the retrieval of stimulus–response links established during conscious rehearsal. (shrink)

David Schweickart has challenged a number of claims that are central to my argument that market socialism would probably degenerate into something only nominally distinguishable from capitalism. Chief among these is the claim that competitive pressures would force the workers in a worker-controlled firm to create pay and authority differentials that would make such firms structurally homologous to capitalist firms. Schweickart challenges this on two fronts: He argues that there is no good reason to believe that market forces under market (...) socialism would create the pay and authority differentials characteristic of capitalism. He further argues that certain structural features of market socialism would insure that competition would not be as intense as it is under capitalism. Consequently, even if capitalistically structured firms were more efficient, it would not make much difference, since no sword of Damocles would hang over the heads of those firms whose workers prefer more collectivist methods of control. Let us consider each of these points in turn. (shrink)