Thirteen up-and-coming researchers in the philosophy of mathematics have been invited to write on what they take to be the right philosophical account of mathematics, examining along the way where they think the philosophy of mathematics is and ought to be going. A rich and diverse picture emerges. Some broader tendencies can nevertheless be detected: there is increasing attention to the practice, language and psychology of mathematics, a move to reassess the orthodoxy, as well as inspiration from philosophical logic.

The Komori–Kashima problem, that asks whether the implicational intermediate logics axiomatizable by formulas minimal in classical logic are only intuitionistic logic and classical logic, has stood for over a decade. In this paper, we give a counter-example to this problem. Additionally, we also give some open problems derived from this result.

Feinberg and Mallatt, in their presentation of neurobiological naturalism, have suggested that visual consciousness was acquired by early vertebrates and inherited by a wide range of descendants, and that its neural basis has shifted to nonhomologous nervous structures during evolution. However, their evolutionary scenario of visual consciousness relies on the assumption that visual consciousness is closely linked with survival, which is not commonly accepted in current consciousness research. We suggest an alternative idea that visual consciousness is linked to a specific (...) class of agency, consequently justifying their phylogenetic claim. We also examine the implication of their phylogenetic claim: visual consciousness is homologous across vertebrates, but its neural basis is not. This apparent incongruence illustrates a general phenomenon of homology, and that the resulting hierarchical view of visual consciousness and its neural basis can be straightforwardly accommodated by neurobiological naturalism. Throughout these discussions, we aim to address the potential theoretical issues in neurobiological naturalism and refine the picture illustrated by Feinberg and Mallatt regarding phylogenetic distribution and trajectories of visual consciousness. (shrink)

Ant colony optimization, which is one of the metaheuristics imitating real ant foraging behavior, is an effective method to find a solution for the traveling salesman problem. The rank-based ant system has been proposed as a developed version of the fundamental model AS of ACO. In the ASrank, since only ant agents that have found one of some excellent solutions are let to regulate the pheromone, the pheromone concentrates on a specific route. As a result, although the ASrank can find (...) a relatively good solution in a short time, it has the disadvantage of being prone falling into a local solution because the pheromone concentrates on a specific route. This problem seems to come from the loss of diversity in route selection according to the rapid accumulation of pheromones to the specific routes. Some ACO models, not just the ASrank, also suffer from this problem of loss of diversity in route selection. It can be considered that the diversity of solutions as well as the selection of solutions is an important factor in the solution system by swarm intelligence such as ACO. In this paper, to solve this problem, we introduce the ant system using individual memories aiming to improve the ability to solve TSP while maintaining the diversity of the behavior of each ant. We apply the existing ACO algorithms and ASIM to some TSP benchmarks and compare the ability to solve TSP. (shrink)

dicates implying a surplus in the background from previous negation) and the other three combinations . The second part of the study in relation to the issue of intersubjectivity summarizes Hegel's unhappy consciousness analysis of figures from the Phenomenology of Spirit and shows that it takes insufficient account of Hegel older authors, which is just Dionysios. In writings on mystical theology can find is the formal structure of intersubjectivity, and Hegel's analysis so they can not be correct.

The essay first succinctly points out shortcomings in previous interpretations of Plotinus’ notion of beauty. Beauty is to be connected primarily with Intellect, which is to be understood as a special unity in diversity. The section of the essay devoted to aesthetics is therefore preceded by a short analysis of Intellect’s unity and diversity. The hypothesis about the primary relation of beauty to the Intellect is then corroborated by a reading of Ennead V.8 and further developed. The emphasis is on (...) three basic aspects of beauty: its being a unity of a mixture whose character is shared by all ontological levels; its function of referring to what is above it; and its fundamental accessibility. Though Plotinus opposes the Stoic notion of beauty as symmetry and stresses beauty’s simplicity, it follows for him that beauty has the character of unitas multiplex, albeit a special one. (shrink)

Ota Weinberger versucht, die logische Analyse für die theologische Argumentation nutzbar zu machen und Forderungen für eine Moral des friedfertigen Diskurses aufzustellen.Hierzu bestimmt er zunächst eine logische und methodologische Charakteristik des Glaubensoperators der Religionen. Nach einer Diskussion des Begriffes der möglichen Welten wird das Theodizeeproblem skeptisch beleuchtet. Zur Konstitution der Willensfreiheit ist weder die Existenz der ontologischen noch des moralischen Bösen erforderlich. Auch ist die Notwendigkeit des Bösen zum Nutzen der Geschöpfe nicht beweisbar. Es gehört jedoch zur Sichtweise der Theologen, (...) daß moralische Momente als Determinanten der Glückseligkeit angesehen werden.Der Autor stellt der Konzeption des Weltethos eine Theorie gegenüber, derzufolge das politische Geschehen durch das Aufeinanderprallen verschiedener Zivilisationen bestimmt ist. Weinberger setzt der gängigen Moral, die den Einsatz für die eigene Gemeinschaft fordert, eine Moral entgegen, die Wege der diskursiven Brücken zwischen divergierenden Welthaltungen sucht. Am Ende diskutiert er Methoden der friedlichen Koexistenz und Kooperation - trotz unterschiedlicher Einstellungen. (shrink)

The thesis investigates Plotinus' concept of beauty. Chapter 1 focuses on two methodological issues: development in Plotinus' thought and topics of the concerned Enneads. Since Plotinus wrote two Enneads directly devoted to this topic which were numbered and named by Porphyry I.6 On beauty and V.8 On intellectual beauty, these two treatises are addressed first in the context of other relevant Enneads. The outcome of these chapters is that beauty is primarily to be found in Intellect and that it is (...) closely linked with unity in multiplicity, so this topic is further investigated in more detail. Five mutually interconnected perspectives Plotinus assumes to describe the unity in multiplicity specific to the Intellect, are outlined. Two of them that are related to the nature of intellection and intelligible objects are discussed in chapters 2 and 3. The one related to Intellect's genesis is analysed throughout the thesis. Therefore, most of chapter 4 focuses on the remaining two perspectives which are connected with Intellect's hierarchical and structural unity in multiplicity. In chapter 5, Ennead VI.7 is analysed in order to deepen the concept of beauty and refine its relation to the Good, life and other predicates. The last chapter presents a systematic... (shrink)

Though there has been an array of methods to evaluate the extent of sarcoidosis, it is generally difficult to detect central nervous system involvement. Recently it has become accepted that 18F-FDG PET is more sensitive than gallium scintigraphy in finding sarcoid lesions, however its usefulness and limitations for detecting sarcoidosis in the central nervous system, especially in the spinal cord, has rarely been investigated. Two patients with pathologically confirmed sarcoidosis manifested spinal symptoms. We conducted 18F-FDG PET along with conventional imagings (...) before and after treatment. Abnormal FDG uptakes which could not be detected by gallium scintigraphy were shown in the spinal cords in both patients. These abnormal uptakes were diminished in accordance with clinical improvement after treatment. Our findings suggest that 18F-FDG PET is effective in detecting and tracking the activity of spinal sarcoidosis. (shrink)

This article traces the limits of the understanding of beauty as unified multiplicity in Plotinus’ Enneads vi 2 and vi 6. These treatises can be read as insisting on the significance of multiplicity for beauty and as implying a distinction between the illuminated and the unilluminated beauty of Intellect. In treatise vi 7, this distinction is made explicit and a deeper understanding of beauty as the manifestation of the Good in Intellect is introduced.

Introduction of the philosophy of Pavlos Kalligas.

_A Companion to Jan Hus_ offers in eleven substantial essays authored by specialized researchers from four countries an account of the life, work, thought and commemoration of Jan Hus († 1415), an important Czech theologian, reformer and martyr.

Étienne de Páleč († c. 1422) fut l’un des premiers à soutenir le réalisme de Wyclif à la Faculté des arts de Prague. Cet article donne un aperçu de ses ouvrages sur les universaux, dont l’origine est à situer vers 1394-1396. Dans certains cas, le but d’Étienne était probablement de défendre le réalisme en général, et non pas seulement celui de Wyclif. L’article comprend l’édition d’une question d’Étienne sur les universaux. Sont également analysées la transmission textuelle de la quaestio et (...) l’influence possible d’un auteur réaliste anonyme attaqué par Buridan dans les années 1330. (shrink)