We discuss ways in which a typical one-dimensional Brownian motion can be approximated by oscillations which are encoded by finite binary strings of high descriptive complexity. We study the recursive properties of Brownian motions that can be thus obtained.

We discuss ways in which a typical one-dimensional Brownian motion can be approximated by oscillations which are encoded by finite binary strings of high descriptive complexity. We study the recursive properties of Brownian motions that can be thus obtained.

Inleiding, gebaseerd op een collegedictaat en een syllabus voor studenten aan de Economische hogeschool te Rotterdam.

Preparing words in speech production is normally a fast and accurate process. We generate them two or three per second in fluent conversation; and overtly naming a clear picture of an object can easily be initiated within 600 msec after picture onset. The underlying process, however, is exceedingly complex. The theory reviewed in this target article analyzes this process as staged and feedforward. After a first stage of conceptual preparation, word generation proceeds through lexical selection, morphological and phonological encoding, phonetic (...) encoding, and articulation itself. In addition, the speaker exerts some degree of output control, by monitoring of self-produced internal and overt speech. The core of the theory, ranging from lexical selection to the initiation of phonetic encoding, is captured in a computational model, called WEAVER++. Both the theory and the computational model have been developed in interaction with reaction time experiments, particularly in picture naming or related word production paradigms, with the aim of accounting for the real-time processing in normal word production. A comprehensive review of theory, model, and experiments is presented. The model can handle some of the main observations in the domain of speech errors (the major empirical domain for most other theories of lexical access), and the theory opens new ways of approaching the cerebral organization of speech production by way of high-temporal-resolution imaging. (shrink)

In this paper, I support a hybrid view regarding the metaphysics of worlds. I endorse Lewisian Modal Realism for possible worlds (LMR). My aim is to come up with a hybrid account of impossible worlds that provides all the plenitude of impossibilities for all fine-grained intentional contents. I raise several challenges for such a plenitudinous hybrid theory. My version of hybrid modal realism builds impossible worlds as set-theoretic constructions out of genuine individuals and sets of them, that is, as set-theoretic (...) constructions from parts and sets of parts of genuine Lewisian worlds. _Structured worlds_ are defined as sets of tuples: structured entities built out of Lewisian ‘raw material’. These structured worlds are ersatz worlds, some of which are impossible. I claim that propositions must be sets of worlds rather than members of sets. Once the construction is in place, I evaluate the proposal and show that my hybrid account is able to supply a plenitude of impossibilities and thus giving the resources to make all the hyperintensional distinctions we are looking for, whilst remaining Lewisian-conservative. (shrink)

Throughout more than two millennia philosophers adhered massively to ideal standards of scientific rationality going back ultimately to Aristotle’s Analytica posteriora. These standards got progressively shaped by and adapted to new scientific needs and tendencies. Nevertheless, a core of conditions capturing the fundamentals of what a proper science should look like remained remarkably constant all along. Call this cluster of conditions the Classical Model of Science. In this paper we will do two things. First of all, we will propose a (...) general and systematized account of the Classical Model of Science. Secondly, we will offer an analysis of the philosophical significance of this model at different historical junctures by giving an overview of the connections it has had with a number of important topics. The latter include the analytic-synthetic distinction, the axiomatic method, the hierarchical order of sciences and the status of logic as a science. Our claim is that particularly fruitful insights are gained by seeing themes such as these against the background of the Classical Model of Science. In an appendix we deal with the historiographical background of this model by considering the systematizations of Aristotle’s theory of science offered by Heinrich Scholz, and in his footsteps by Evert W. Beth. (shrink)

A concise yet rigorous introduction to logic and discrete mathematics. This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. The chapters on logic - propositional and first-order - provide a robust toolkit for logical reasoning, emphasizing the conceptual understanding of the language and the semantics of classical (...) logic as well as practical applications through the easy to understand and use deductive systems of Semantic Tableaux and Resolution. The chapters on set theory, number theory, combinatorics and graph theory combine the necessary minimum of theory with numerous examples and selected applications. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in the accompanying solutions manual. Key Features: Suitable for a variety of courses for students in both Mathematics and Computer Science. Extensive, in-depth coverage of classical logic, combined with a solid exposition of a selection of the most important fields of discrete mathematics Concise, clear and uncluttered presentation with numerous examples. Covers some applications including cryptographic systems, discrete probability and network algorithms. Logic and Discrete Mathematics: A Concise Introduction is aimed mainly at undergraduate courses for students in mathematics and computer science, but the book will also be a valuable resource for graduate modules and for self-study. (shrink)

Technology, in its current usage, can most simply be understood to have three components: artifacts, practices, and knowledge. Artifacts are the material objects that exist in the world. Practices are the methods and techniques used to interact with artifacts and knowledge represents the underlying theoretical and conceptual paradigms that influence technology in different cultural contexts. Using these components as the framework, this four volume major work traces the intellectual, scholarly, and public evolution of technology studies and ultimately questions whether technologies (...) are truly autonomous within the societies they inhabit and whether or not technological changes drive social changes. Rayvon David Fouché presents the evolving conceptualizations of technology to understand the ways in which technology has shaped global society. Technology Studies is part of the ‘Key Issues for the 21st Century’ series published by SAGE which brings together collections on those critical issues that will shape our future. This four-volume set covers: Volume 1: Conceptualizing Technology Volume 2: Theorizing Technological Change Volume 3: Politics of Technology Volume 4: Technology and Culture. (shrink)

The previously introduced algorithm \sqema\ computes first-order frame equivalents for modal formulae and also proves their canonicity. Here we extend \sqema\ with an additional rule based on a recursive version of Ackermann's lemma, which enables the algorithm to compute local frame equivalents of modal formulae in the extension of first-order logic with monadic least fixed-points \mffo. This computation operates by transforming input formulae into locally frame equivalent ones in the pure fragment of the hybrid mu-calculus. In particular, we prove that (...) the recursive extension of \sqema\ succeeds on the class of `recursive formulae'. We also show that a certain version of this algorithm guarantees the canonicity of the formulae on which it succeeds. (shrink)

This paper concentrates on some aspects of the history of the analyticsynthetic distinction from Kant to Bolzano and Frege. This history evinces considerable continuity but also some important discontinuities. The analytic-synthetic distinction has to be seen in the first place in relation to a science, i.e. an ordered system of cognition. Looking especially to the place and role of logic it will be argued that Kant, Bolzano and Frege each developed the analytic-synthetic distinction within the same conception of scientific rationality, (...) that is, within the Classical Model of Science: scientific knowledge as cognitio exprincipiis. But as we will see, the way the distinction between analytic and synthetic judgments or propositions functions within this model turns out to differ considerably between them. (shrink)

Throughout the twentieth century, German writers, philosophers, theologians, and historians turned to Gnosticism to make sense of the modern condition. While some saw this ancient Christian heresy as a way to rethink modernity, most German intellectuals questioned Gnosticism's return in a contemporary setting. In No Spiritual Investment in the World, Willem Styfhals explores the Gnostic worldview's enigmatic place in these discourses on modernity, presenting a comprehensive intellectual history of Gnosticism's role in postwar German thought. Establishing the German-Jewish philosopher Jacob (...) Taubes at the nexus of the debate, Styfhals traces how such figures as Hans Blumenberg, Hans Jonas, Eric Voegelin, Odo Marquard, and Gershom Scholem contended with Gnosticism and its tenets on evil and divine absence as metaphorical detours to address issues of cultural crisis, nihilism, and the legitimacy of the modern world. These concerns, he argues, centered on the difficulty of spiritual engagement in a world from which the divine has withdrawn. Reading Gnosticism against the backdrop of postwar German debates about secularization, political theology, and post-secularism, No Spiritual Investment in the World sheds new light on the historical contours of postwar German philosophy. (shrink)

Twaalf inheemse en religieuze leiders uit verschillende werelddelen spreken zich in dit boek uit over de heiligheid van de natuur. Hun eeuwenoude wijsheden inspireren ons om anders te gaan denken over onze omgang met alles wat leeft. Aan het woord komen de Groenlandse sjamaan Angakkorsuaq, de Amerikaanse indianenleider Chief Lane Jr., masaileider Mwarabu, de boeddhistische geestelijke Shih, de dichtende islamgeleerde Ur Rehman Chishti, orthodox rabbijn Slifkin, Maya-priester Sac Coyoy, hindoe-prins Jhala, Aztekenleider Sanchez, leider van de Canadese Bear Clan Wawatie, bisschop (...) Smeets van Roermond en theoloog Valerio van Rochester Cathedral. 0Oeroude natuurwijsheden uit alle streken! (shrink)

With the 500 year celebration of the Reformation, it is necessary that Bible translation be reviewed again. The year 2017 is not only the year of Reformation celebration, but also the year of centenary celebration of the Faculty of Theology at the University of Pretoria. The article attempts to briefly refer to the roots of Bible translation, which is anchored in the Reformation; but also to look at Bible translation in South Africa over the last hundred years, as well as (...) the contribution made especially by the Faculty of Theology at the University of Pretoria in this regard. (shrink)

Evolutionary psychologists tend to view the mind as a large collection of evolved, functionally specialized mechanisms, or modules. Cosmides and Tooby (1994) have presented four arguments in favor of this model of the mind: the engineering argument, the error argument, the poverty of the stimulus argument, and combinatorial explosion. Fodor (2000) has discussed each of these four arguments and rejected them all. In the present paper, we present and discuss the arguments for and against the massive modularity hypothesis. We conclude (...) that Cosmides and Tooby's arguments have considerable force and are too easily dismissed by Fodor. (shrink)

Zuidema et al. illustrate how empirical AGL studies can benefit from computational models and techniques. Computational models can help clarifying theories, and thus in delineating research questions, but also in facilitating experimental design, stimulus generation, and data analysis. The authors show, with a series of examples, how computational modeling can be integrated with empirical AGL approaches, and how model selection techniques can indicate the most likely model to explain experimental outcomes.

A brief "book note" on James O'Shea's "Wilfrid Sellars".

A review of Lycan's Book "Consciousness".

We provide syntactic necessary and sufficient conditions on the formulae reducible by the second-order quantifier elimination algorithm DLS. It is shown that DLS is compete for all modal Sahlqvist and Inductive formulae, and that all modal formulae in a single propositional variable on which DLS succeeds are canonical.

Universities are occupied by management, a regime obsessed with ‘accountability’ through measurement, increased competition, efficiency, ‘excellence’, and misconceived economic salvation. Given the occupation’s absurd side-effects, we ask ourselves how management has succeeded in taking over our precious universities. An alternative vision for the academic future consists of a public university, more akin to a socially engaged knowledge commons than to a corporation. We suggest some provocative measures to bring about such a university. However, as management seems impervious to cogent arguments, (...) such changes can only happen if academics take action. Hence, we explore several strategies for a renewed university politics. (shrink)

In a previous work we introduced the algorithm \SQEMA\ for computing first-order equivalents and proving canonicity of modal formulae, and thus established a very general correspondence and canonical completeness result. \SQEMA\ is based on transformation rules, the most important of which employs a modal version of a result by Ackermann that enables elimination of an existentially quantified predicate variable in a formula, provided a certain negative polarity condition on that variable is satisfied. In this paper we develop several extensions of (...) \SQEMA\ where that syntactic condition is replaced by a semantic one, viz. downward monotonicity. For the first, and most general, extension \SSQEMA\ we prove correctness for a large class of modal formulae containing an extension of the Sahlqvist formulae, defined by replacing polarity with monotonicity. By employing a special modal version of Lyndon's monotonicity theorem and imposing additional requirements on the Ackermann rule we obtain restricted versions of \SSQEMA\ which guarantee canonicity, too. (shrink)

In the history of Jewish, Christian and Muslim culture, religious identity was not only formed by historical claims, but also by the usage of certain images: “images of God”, “images of the others”, “images of the self.”This book includes a discussion of the role of these images in society and politics, in theology and liturgy, yesterday and today.

The positive functions of psychosis are examined. It is concluded that psychosis might have following positive and compensating functions: satisfaction of urgent needs that otherwise would remain unsatisfied; avoidance of and coping with unbearable reality, harmful influences and stress, and/or trauma; realization of urgent but otherwise unattainable goal settings; and upgrading of social-emotional and cognitive incapacities into more adequate social-emotional and cognitive awareness and functioning. The therapeutic implications of these findings are also discussed.

Negotiating proves a precarious ability. The development of the arts of compromise and negotiating is not self-evident. Confrontation, flight and direct physical attack prove much more tempting in human history. How did these skills develop? The typical power and dependency network that evolved in western Europe in particular, is a significant factor. Different patterns of emotion management emerged in interaction with changing power balances. These patterns bred the skills of negotiating and compromise.

Two different concepts of distinguishability are often mixed up in attempts to derive in quantum mechanics the (anti)symmetry of the wave function from indistinguishability of identical particles. Some of these attempts are analyzed and shown to be defective. It is argued that, although identical particles should be considered as observationally indistinguishable in (anti)symmetric states, they may be considered to be conceptually distinguishable. These two notions of (in)distinguishability have quite different physical origins, the former one being related to observations while the (...) latter has to do with the preparation of the system. (shrink)