Peter Abelard (1079–1142 ce) was the most wide‐ranging philosopher of the twelfth century. He quickly established himself as a leading teacher of logic in and near Paris shortly after 1100. After his affair with Heloise, and his subsequent castration, Abelard became a monk, but he returned to teaching in the Paris schools until 1140, when his work was condemned by a Church Council at Sens. His logical writings were based around discussion of the “Old Logic”: Porphyry's Isagoge, aristotle'S Categories (...) and On Interpretation and boethius'S textbook on topical inference. They comprise a freestanding Dialectica (“Logic”; probably c.1116), a set of commentaries (known as the Logica [Ingredientibus], c. 1119) and a later (c. 1125) commentary on the Isagoge (Logica Nostrorum Petititoni Sociorum or Glossulae). In a work Abelard called his Theologia, issued in three main versions (between 1120 and c.1134), he attempted a logical analysis of trinitarian relations and explored the philosophical problems surrounding God's claims to omnipotence and omniscience. The Collationes (“Debates,” also known as “Dialogue between a Christian, a Philosopher and a Jew”; probably c.1130) present a rational investigation into the nature of the highest good, in which the Christian and the Philosopher (who seems to be modeled on a philosopher of pagan antiquity) are remarkably in agreement. The unfinished Scito teipsum (“Know thyself,” also known as the “Ethics”; c.1138) analyses moral action. (shrink)

Machine generated contents note: SECTION 1 THE WORLD BEFORE GLOBALIZATION: CHANGING -- SCALES OF EXPERIENCE Edited by Denis Shaw -- Chapter 1 Pre-capitalist worlds Denis Shaw -- Chapter 2 The rise and spread of capitalism Terry Slater -- Chapter 3 The making of the twentieth-century world Denis Shaw -- SECTION 2 SOCIETY, SETTLEMENT AND CULTURE Edited by Denis Shaw -- Chapter 4 Cities Allan Cochrane -- Chapter 5 Rural alternatives Ian Bowler -- Chapter 6 Geography, culture and global change Cheryl (...) McEwan -- SECTION 3 POPULATION, RESOURCES AND DEVELOPMENT -- Edited by iMichael Bradshaw -- Chapter 7 Demographic transformations Tony Champion -- Chapter 8 Resources and development Michael Bradshaw -- Chapter 9 Changing geographies of global food production Brian Ilbery -- Chapter 10 Alternative geographies of global development and inequality -- Marcus Power -- SECTION 4 PRODUCTION, EXCHANGE AND CONSUMPTION -- Edited by Peter Daniels -- Chapter 11 The geography of the economy Peter Daniels -- Chapter 12 The global production system: from Fordism to post-Fordism -- John Bryson and Nick Henry -- Chapter 13 The global financial system: worlds of monies Jane Pollard -- Chapter 14 Worlds of consumption Philip Crang -- SECTION 5 GEOPOLITICS, STATES AND CITIZENSHIP -- Edited by James Sidaway -- Chapter 15 Geopolitical traditions James Sidaway -- Chapter 16 The place of the nation-state James Sidaway -- Chapter 17 States, citizenship and collective action Murray Low -- Conclusions Challenges and promises -- Peter Daniels, Michael Bradshaw, Denis Shaw and James Sidaway -- Glossary -- Bibliography -- Index. (shrink)

The domains of quantum theory and general relativity overlap in situations where quantum mechanical effects cannot be ignored. In order to deal with this overlap of theoretical domains, there has been a tendency to apply the rules of quantum field theory to the classical gravitational field equations and without much regard for the implications of the whole enterprise. The gravitational version of the asymmetric ageing of identical biological specimens shows that curved spacetime is not dispensable. This result is used to (...) conclude that the particle-based interpretations of quantum gravity are not acceptable. (shrink)

The discrepancy between syntax and semantics is a painstaking issue that hinders a better comprehension of the underlying neuronal processes in the human brain. In order to tackle the issue, we at first describe a striking correlation between Wittgenstein's Tractatus, that assesses the syntactic relationships between language and world, and Perlovsky's joint language-cognitive computational model, that assesses the semantic relationships between emotions and “knowledge instinct”. Once established a correlation between a purely logical approach to the language and computable psychological activities, (...) we aim to find the neural correlates of syntax and semantics in the human brain. Starting from topological arguments, we suggest that the semantic properties of a proposition are processed in higher brain's functional dimensions than the syntactic ones. In a fully reversible process, the syntactic elements embedded in Broca's area project into multiple scattered semantic cortical zones. The presence of higher functional dimensions gives rise to the increase in informational content that takes place in semantic expressions. Therefore, diverse features of human language and cognitive world can be assessed in terms of both the logic armor described by the Tractatus, and the neurocomputational techniques at hand. One of our motivations is to build a neuro-computational framework able to provide a feasible explanation for brain's semantic processing, in preparation for novel computers with nodes built into higher dimensions. (shrink)

Examines the relationship between sport and education from both social and moral points of view. The text argues that sport has such a vital role to play in society that it should be an integral part of the curriculum. It presents guidelines for an effective teaching of sports in schools.

A commentary on Richard Joyce's The Evolution of Morality.

The paradox in Inquiry in Plato's Meno raises the fundamental epistemological problem of how one can come to know the basic and primary criteria of philosophical reasoning. Two key tenets of the Socratic search for definitions underlie the paradox. First, Socrates argues in both the Euthyphro and Hippias Major, that knowledge of particular instances of a given Form presupposes knowledge of the universal Form. Secondly, Socrates insists in the Meno that knowledge of essence logically preceeds knowledge of a Form's other (...) properties. Taken together, these two principles entail that one cannot gain knowledge of essence either by inductive or by deductive reasoning. Thus when Socrates seeks to determine the correct definition of the essence of virtue, he faces the apparently insuperable problem of having no rational method for establishing the proper definition. The paradox of inquiry states in effect that Socratic elenchus is absurd because it posits an essence both as the goal and the necessary starting point of rational argumentation. ;It is in the face of this serious skeptical dilemma that Plato articulates a profoundly original conception of reasoning. According to Plato, the solution to the paradox is that reasoning toward a definition of essences involves raising to explicit consciousness one's implicit knowledge of the very essence being sought. The description of this process as a recalling of knowledge actually acquired in an earlier life is intended only as a metaphor: it illuminates the process of bringing to full awareness what one already implicitly knows. Both the problem and the solution presented in the Meno exhibit the characteristic Platonic interrelationship of metaphysicis and epistemology. When Socrates asks for a definition of virtue in the Meno, he means to uncover the nature of a Form which exists separately from its examples. Socratic definition is neither a form of conceptual analysis nor an analysis of immanent characteristics in particulars. The failure of many commentators to appreciate the recollection theory often derives from a failure to comprehend these metaphysical dimensions of Plato's solution. (shrink)

Robert Frost is by far the most celebrated major American poet of the twentieth century. In part, this is because his poetry seems, on the surface, to be so accessible, even homey. But Frost was not just a powerful writer of popular lyric and narrative verse, argues Peter J. Stanlis in this major contribution to American literary study and philosophy. Rather, his work is deeply rooted in a complex philosophical dualism that opposes both idealistic monism, centered in spirit, and (...) scientific positivism, which posits that the universe can be understood as nothing but matter. In _Robert Frost: The Poet as Philosopher,_ Stanlis shows how Frost’s philosophical dualism of spirit and matter is perceived through metaphors and applied to science, religion, art, education, and society. He further argues that Frost’s dualism provides a critique of the monistic forces that were instrumental in the triumph of twentieth-century totalitarianism. Thoroughly informed by his twenty-three year friendship and correspondence with Frost, Stanlis’s landmark volume is the first attempt to deal with the poet’s philosophy in a systematic manner. It will appeal not only to fans of Frost but to all who understand poetry as a form of revelation for understanding human nature. (shrink)

The brain, rather than being homogeneous, displays an almost infinite topological genus, since it is punctured with a high number of “cavities”. We might think to the brain as a sponge equipped with countless, uniformly placed, holes. Here we show how these holes, termed topological vortexes, stand for nesting, non-concentric brain signal cycles resulting from the activity of inhibitory neurons. Such inhibitory spike activity is inversely correlated with its counterpart, i.e., the excitatory spike activity propagating throughout the whole brain tissue. (...) We illustrate how Pascal’s triangles and linear and nonlinear arithmetic octahedrons are capable of describing the three-dimensional random walks generated by the inhbitory/excitatory activity of the nervous tissue. In case of nonlinear 3D paths, the trajectories of excitatory spiking oscillations can be depicted as the operation of filling the numbers of octahedrons in the form of “islands of numbers”: this leads to excitatory neuronal assemblies, spaced out by empty areas of inhibitory neuronal assemblies. These mathematical procedures allow us to describe the topology of a brain of infinite genus, to represent inhibitory neurons in terms of Betti numbers and to highlight how spike diffusion in neural tissues is generated by the random activation of tiny groups of excitatory neurons. Our approach suggests the existence of a strong mathematical background subtending the intricate oscillatory activity of the central nervous system. (shrink)

Neuroscientists are able to detect physical changes in information entropy in the available neurodata. However, the information paradigm is inadequate to describe fully nervous dynamics and mental activities such as perception. This paper suggests explanations to neural dynamics that provide an alternative to thermodynamic and information accounts. We recall the Banach–Tarski paradox, which informally states that when pieces of a ball are moved and rotated without changing their shape, a synergy between two balls of the same volume is achieved instead (...) of the original one. We show how and why BTP might display this physical and biological synergy meaningfully, making it possible to model nervous activities. The anatomical and functional structure of the central nervous system’s nodes and edges makes it possible to perform a sequence of moves inside the connectome that doubles the amount of available cortical oscillations. In particular, a BTP-based mechanism permits scale-invariant nervous oscillations to amplify and propagate towards widely separated brain areas. Paraphrasing the BTP’s definition, we could state that: when a few components of a self-similar nervous oscillation are moved and rotated throughout the cortical connectome, two self-similar oscillations are achieved instead of the original one. Furthermore, based on topological structures, we illustrate how, counterintuitively, the amplification of scale-free oscillations does not require information transfer. (shrink)

Physical and biological measurements might display range values extending towards infinite. The occurrence of infinity in equations, such as the black hole singularities, is a troublesome issue that causes many theories to break down when assessing extreme events. Different methods, such as re-normalization, have been proposed to avoid detrimental infinity. Here a novel technique is proposed, based on geometrical considerations and the Alexander Horned sphere, that permits to undermine infinity in physical and biophysical equations. In this unconventional approach, a continuous (...) monodimensional line becomes an assembly of countless bidimensional lines that superimpose in quantifiable knots and bifurcations. In other words, we may state that Achilles leaves the straight line and overtakes the turtle. (shrink)

The brain displays both the anatomical features of a vast amount of interconnected topological mappings as well as the functional features of a nonlinear, metastable system at the edge of chaos, equipped with a phase space where mental random walks tend towards lower energetic basins. Nevertheless, with the exception of some advanced neuro-anatomic descriptions and present-day connectomic research, very few studies have been addressing the topological path of a brain embedded or embodied in its external and internal environment. Herein, by (...) using new formal tools derived from algebraic topology, we provide an account of the metastable brain, based on the neuro-scientific model of Operational Architectonics of brain-mind functioning. We introduce a “topodynamic” description that shows how the relationships among the countless intertwined spatio-temporal levels of brain functioning can be assessed in terms of projections and mappings that take place on abstract structures, equipped with different dimensions, curvatures and energetic constraints. Such a topodynamical approach, apart from providing a biologically plausible model of brain function that can be operationalized, is also able to tackle the issue of a long-standing dichotomy: it throws indeed a bridge between the subjective, immediate datum of the naïve complex of sensations and mentations and the objective, quantitative, data extracted from experimental neuro-scientific procedures. Importantly, it opens the door to a series of new predictions and future directions of advancement for neuroscientific research. (shrink)

There is growing evidence that some individuals engage in both self-harm and aggression during the course of their lifetime. The co-occurrence of self-harm and aggression is termed dual-harm. Individuals who engage in dual-harm may represent a high-risk group with unique characteristics and pattern of harmful behaviours. Nevertheless, there is an absence of clinical guidelines for the treatment and prevention of dual-harm and a lack of agreed theoretical framework that accounts for why people may engage in this behaviour. The present work (...) aimed to address this gap in the literature by providing a narrative review of previous research of self-harm, aggression and dual-harm, and through doing so, presenting an evidence-based theory of dual-harm – the cognitive-emotional model of dual-harm. This model draws from previous studies and theories, including the General Aggression Model, diathesis-stress models and emotional dysregulation theories. The cognitive-emotional model highlights the potential distal, proximal and feedback processes of dual-harm, the role of personality style and the possible emotional regulation and interpersonal functions of this behaviour. In line with our theory, various clinical and research implications for dual-harm are suggested, including hypotheses to be tested by future studies. (shrink)

First of all, we would like to gratefully thank all commentators for the attention and effort they have put into reading and responding to our review paper [this issue] and for useful observations that suggest novel applications for our framework. We understand and accept that some of our claims might appear controversial and raise skepticism, because the overall neural framework we have proposed is difficult to frame in established categories, given its strong multidisciplinary character. To make an example, Elsevier is (...) publishing the British Neuroscience Association (BNA) 2017 Special Issue Collection. However, our paper could not fully fit in any of their Special Issues—attention, motivation, behavior; sensory and motor systems; novel treatments and translational neuroscience; genetics and epigenetics; learning and memory; neurodegenerative disorders and ageing; developmental neuroscience; neuronal, glial and cellular mechanisms; neuroendocrine and autonomic nervous systems; psychiatry and mental health; methods and techniques. Perhaps because our paper was mathematically, physically, biologically (neuroscientifically), and phenomenologically motivated from the start? Nevertheless, venturing in novel, fresh, testable proposals is badly needed in contemporary neuroscience, so to break into “the utter darkness of the inner mechanism of psychic acts… during the production of the concomitant phenomena of perception and thought, namely, feelings, consciousness and volition”—as Cajal had already observed in his opus magnus ‘Textura’. But as he soberly confessed: “This ideal is still very distant” (Ramon y Cajal, 1899-1904, p. 1,141). In the pursuit of that very ideal, neuroscience and psychology have had, and continue to have, a plethora of movements and schools of thought: behaviorism, cognitivism, neural Darwinism, social constructivism, Bayesian optimization...In our paper, we propose to go a step further, via the notion of topodynamics, towards “projectionism.” In what follows, trying to elucidate the main features of this Emperor’s new clothing, we proceed with the responses to the comments received. (shrink)

Linear structural equation models (SEMs) are widely used in sociology, econometrics, biology, and other sciences. A SEM (without free parameters) has two parts: a probability distribution (in the Normal case specified by a set of linear structural equations and a covariance matrix among the “error” or “disturbance” terms), and an associated path diagram corresponding to the functional composition of variables specified by the structural equations and the correlations among the error terms. It is often thought that the path diagram is (...) nothing more than a heuristic device for illustrating the assumptions of the model. However, in this paper, we will show how path diagrams can be used to solve a number of important problems in structural equation modelling. (shrink)

This paper introduces a class of graphical independence models that is closed under marginalization and conditioning but that contains all DAG independence models. This class of graphs, called maximal ancestral graphs, has two attractive features: there is at most one edge between each pair of vertices; every missing edge corresponds to an independence relation. These features lead to a simple parameterization of the corresponding set of distributions in the Gaussian case.

Whenever the use of non-experimental data for discovering causal relations or predicting the outcomes of experiments or interventions is contemplated, two difficulties are routinely faced. One is the problem of latent variables, or confounders: factors influencing two or more measured variables may not themselves have been measured or recorded. The other is the problem of sample selection bias: values of the variables or features under study may themselves influence whether a unit is included in the data sample.

Thomas Richardson and Peter Spirtes. Scoring Ancestral Graph Models.

Name der Zeitschrift: Neue Zeitschrift für Systematische Theologie und Religionsphilosophie Jahrgang: 61 Heft: 1 Seiten: 84-106.

This article situates Roger Scruton in the tradition of Christian Platonism. It begins by revisiting Scruton’s reluctance to pursue theological speculation as it has been traditionally practised in...

The paper is concerned with the potential or actual impact that free-market governmental principles and policies might have, or might have had, in helping to create a more crisis-prone world. It is concerned with organizationally-induced crises where organizations and their environment interact to create disasters. The nature of the crisis-prone organization is discussed in the context of the relevant management literature. It is argued that the disastrous interaction of such an organization with its environment is promoted by a laisser-faire attitude (...) on the part of the authorities. This is illustrated in the context of two recent British disasters involving the King''s Cross Underground fire and the sinking of the Herald of Free Enterprise. (shrink)

In order to create sustainable health systems, many countries are introducing ways to prioritize health services underpinned by a process of health technology assessment. While this approach requires technical judgments of clinical effectiveness and cost-effectiveness, these are embedded in a wider set of social (societal) value judgments, including fairness, responsiveness to need, non-discrimination and obligations of accountability and transparency. Implementing controversial decisions faces legal, political and public challenge. To help generate acceptance for the need for health prioritization and the resulting (...) decisions, the purpose of this paper is to develop a novel way of encouraging key stakeholders, especially patients and the public, to become involved in the prioritization process. (shrink)

Paraconsistent logic is an area of philosophical logic that has yet to find acceptance from a wider audience. The area remains, in a word, disreputable. In this essay, we try to reassure potential consumers that it is not necessary to become a radical in order to use paraconsistent logic. According to the radicals, the problem is the absurd classical account of contradiction: Classically inconsistent sets explode only because bourgeois classical semantics holds, in the face of overwhelming evidence to the contrary, (...) that both A and ∼ A cannot simultaneously be true! We suggest (more modestly) that there is, at least sometimes, something else worth preserving, even in an inconsistent, unsatisfiable premise set. In this paper we present, in a new guise, a very general version of this “preservationist” approach to paraconsistency. (shrink)

James M. Robins, Richard Scheines, Peter Spirtes, and Larry Wasserman. The Limits of Causal Knowledge.

Reviewed Works:Chris Mortensen, Inconsistent Mathematics.Chris Mortensen, Peter Lavers, Category Theory.William James, Closed Set Sheaves and Their Categories.Chris Mortensen, Joshua Cole, Foundations: Provability, Truth and Sets.

Michael A. Petersa and Fazal Rizvib aBeijing Normal University, Beijing, PR China; bMelbourne University, Melbourne, Australia Our minds are still racing back and forth, longing for a return to ‘no...

We apply the author's computational approach to groups to our empirical work studying and modelling riots. We suggest that assigning roles in particular gives insight, and measuring the frequency of bystander behaviour provides a method to understand the dynamic nature of intergroup conflict, allowing social identity to be incorporated into models of riots.

Thomas Richardson and Peter Spirtes. Parameterizing and Scoring Mixed Ancestral Graphs.