I argue that, contrary to widespread philosophical opinion, phenomenal indiscriminability is transitive. For if it were not transitive, we would be precluded from accepting the truisms that if two things look the same then the way they look is the same and that if two things look the same then if one looks red, so does the other. Nevertheless, it has seemed obvious to many philosophers (e.g. Goodman, Armstrong and Dummett) that phenomenal indiscriminability is not transitive; and, moreover, that this (...) non-transitivity is straightforwardly revealed to us in experience. I show this thought to be wrong. All inferences from the character of our experience to the non-transitivity of indiscriminability involve either a misunderstanding of continuity, a mistaken interpretation of the idea that we have limited powers of discrimination, or tendentious claims about what our experience is really like; or such inferences are based on inadequately supported premisses, which though individually plausible are jointly implausible. (shrink)

Brentano’s theory of continuity is based on his account of boundaries. The core idea of the theory is that boundaries and coincidences thereof belong to the essence of continua. Brentano is confident that he developed a full-fledged, boundary-based, theory of continuity1; and scholars often concur: whether or not they accept Brentano’s take on continua they consider it a clear contender. My impression, on the contrary, is that, although it is infused with invaluable insights, several aspects of Brentano’s account (...) of continuity remain inchoate. To be clear, the theory of boundaries on which it relies, as well as the account of ontological dependence that Brentano develops alongside his theory of boundaries, constitute splendid achievements. However, the passage from the theory of boundaries to the account of continuity is rather sketchy. This paper pinpoints some chief problems raised by this transition, and proposes some solutions to them which, if not always faithful to the letter of Brentano’s account of continua, are I believe faithful to its spirit. §1 presents Brentano’s critique of the mathematical account of the continuous. §2 introduces Brentano’s positive account of continua. §3 raises three worries about Brentano’s account of continuity. §4 proposes a Neo-Brentanian approach to continua that handles these worries. (shrink)

We defend the fundamental ontological-pragmatic principle that where there are continua in reality science is often forced to make partly fiat terminological delimitations. In particular, this principle applies when it comes to describing biological organisms, their parts, properties, and relations. Human-made fiat delimitations are indispensable at the level of both individuals and the natural kinds which they instantiate. The kinds of pragmatically based ‘fiatness’ that we describe can create incompatibilities and lack of interoperability even between properly designed ontologies, if (...) not appropriately handled. (shrink)

A continuum is here a primitive notion intended to correspond precisely to a path-connected subset of the usual euclidean space. In contrast, however, to the traditional treatment, we treat here continua not as pointsets, but as irreducible entities equipped only with a partial ordering ≤ interpreted as parthood. Our aim is to examine what basic topological and geometric properties of continua can be expressed in the language of ≤, and what principles we need in order to prove elementary (...) facts about them. Surprisingly enough ≤ suffices to formulate the very heart of continuity (=jumpless and gapless transitions) in a general setting. Further, using a few principles about ≤ (together with the axioms of ZFC), we can define points, joins, meets and infinite closeness. Most important, we can develop a dimension theory based on notions like path, circle, line (=one-dimensional continuum), simple line and surface (=two-dimensional continuum), recovering thereby in a rigorous way Poincaré's well-known intuitive idea that dimension expresses the ways in which a continuum can be torn apart. We outline a classification of lines according to the number of circles and branching points they contain. The ordering (C,≤) is a topped and bottomed, atomic, almost dense and complete partial ordering, weaker than a lattice. Continuous transformations from C to C are also defined in a natural way and results about them are proved. (shrink)

The subject of my dissertation is the structure of continua and, in particular, of physical space and time. Consider the region of space you occupy: is it composed of indivisible parts? Are the indivisible parts, if any, extended? Are there infinitesimal parts? The standard view that space is composed of unextended points faces both \textit{a priori} and empirical difficulties. In my dissertation, I develop and evaluate several novel approaches to these questions based on metaphysical, mathematical and physical considerations. In (...) particular, I develop and evaluate two infinitesimal theories of space based on Robinson's nonstandard analysis. I argue that \textit{Infinitesimal Gunk}, according to which every region is further divisible and some regions have infinitesimal sizes, has distinct advantages over alternative gunky views. I also advance a new account of distance for atomistic space, \textit{the mixed account}, in response to Weyl's tile argument, which is an influential argument against the view that space is composed of indivisible regions. Having these theories in stock, we make progress in discovering the best theory of continua. (shrink)

Sometimes in the third-person and sometimes in the first of creativity itself, this transdisciplinary and intercultural essay performs the premise that creativity everywhere is the creatio continua of a cosmopoiesis fully reducible neither to any sum of supposed parts, nor to any terminate, finished totum of viewpoint, event, or objectifiable what. It suggests that in experiencing an ethic of releasement from fixed ego-perspectives in this holism of self-organizingly creative creatio, the contemplative temperament sustainingly embodies the paradoxical ecology of contrasting (...) orientations and their integrated mutual coevolution. (shrink)

In previous work, Hellman and Shapiro present a regions-based account of a one-dimensional continuum. This paper produces a more Aristotelian theory, eschewing the existence of points and the use of infinite sets or pluralities. We first show how to modify the original theory. There are a number of theorems that have to be added as axioms. Building on some work by Linnebo, we then show how to take the ‘potential’ nature of the usual operations seriously, by using a modal language, (...) and we show that the two approaches are equivalent. (shrink)

Initially, we perceive an indefinite extension imprecisely, a spread C ; this perception can be visual, aural, or tactile.

Concerns for safety and security as South Africa’s hosting of 2010 FIFA World Cup draws nearer highlight the degree to which South Africa’s reputation for a relatively peaceful transition from Apartheid has been replaced by its reputation for violent crime. Its transition, and the peacebuilding efforts that followed it, are not completely unrelated to its current high levels of violent crime. In fact, this article argues that there were a number of issues South Africa’s peacebuilding process failed to address that (...) are relevant to the country’s violent crime situation. A significant reason for this failure was an inability or unwillingness to engage the full spectrum of Apartheid’s violence with equal rigour. Apartheid inflicted structural violence, through its racially oppressive laws, as well as physical violence, through enforcing its laws and suppressing its opposition, on the people of South Africa. Peacebuilding in South Africa primarily focused on Apartheid’s physical violence. Through the work of the Truth and Reconciliation Commission, the focus was narrowed down further to physical political violence. Due to this narrow focus, it did not attend effectively to non-political violence – which includes gender-based violence, the esteem violence had attained during and due to Apartheid, disarming the country of illegal firearms, and narrowing the income gap between the country’s rich and poor. While South Africa proudly claims ownership of its conflict resolution and peacebuilding processes, it still emulated predominant models of building peace through liberal democracy and a market economy. These models have been drawn from Western success stories in diminishing interstate conflict, while South Africa is a developing country that was recovering from an intrastate conflict. Pursuing these models has had benefits for South Africa, but not in many of the ways it needed in order to effectively prevent a surge in criminal violence in the wake of Apartheid. (shrink)

A method for constructing continua of logics squeezed between some intermediate predicate logics, developed by Suzuki [8], is modified and applied to intervals of the form [L, L+ ¬¬S], where Lis a predicate logic, Sis a closed predicate formula. This solves one of the problems from Suzuki's paper.

Mealey's data do not support her dichotomous model of primary and secondary sociopathy; this data supports the view that there is a continuum of degrees of sociopathy, from zero to the maximal manifestation. There are multitudes of factors that can contribute to sociopathy and the countless different mixes of them can produce multiple degrees and variations of sociopathic behavior.

Resumo Entre 1988 e 1993, Iúri M. Lótman formulou algumas proposições sobre “a voz da massa anônima”: uma voz coletiva que, em certas situacões ligadas a crises de caráter cultural, é portadora de paixões violentas que podem produzir interferências profundas no curso da história. Em seus últimos trabalhos, o semioticista russo postulou, diante disso, a noção de uma semiótica das emoções como objeto de estudo para entender a dinâmica cultural, em especial de períodos tidos como revolucionários ou de transição, a (...) saber, quando a massa anônima é capaz de manipular os eventos ou quando, revendo o passado, confere aos eventos uma interpretação distorcida. Lótman focalizou, principalmente, a relação entre as grandes fraturas históricas, os mecanismos de autopropagação do medo e a criação cultural de bodes expiatórios. O presente estudo visa abordar a reflexão de Lótman sobre perseguição, com especial atenção à figura da mulher durante o fenômeno de caça às bruxas. ABSTRACT Between 1988 and 1993, Yuri Lotman composed a series of reflections on “the voice of the anonymous mass”: a collective voice that, in particular situations linked to a cultural crisis, is the bearer of striking passions, which can deeply influence history. In his late works, the Russian semiotician postulated, therefore, the idea of a semiotics of emotions as an object of study to understand the dynamics of culture, especially during periods perceived as revolutionary or transitional―namely, when the anonymous mass manipulates the events or, when looking back, gives them a distorted interpretation. Lotman focused in particular on the relationship between great historical fractures, the self-propagating mechanisms of fear, and the cultural creation of scapegoats. This paper is devoted to framing Lotman’s reflection on persecution, paying particular attention to women during the phenomenon of the witch hunt. (shrink)

Gary S. Slater's C. S. Peirce & Nested Continua Model of Religious Interpretation comes to readers in the Oxford University Press series Oxford Theology and Religion Monographs. Before I say more about Slater's complex book, a story: Much philosophical scholarship on C. S. Peirce tends either to neglect the religious dimensions of his work or to secularize, demystify, and detheologize it. These secularized interpretations alienate those who read Peirce within the Christian and Jewish theological traditions and estrange the Transcendentalists (...) within American Philosophy who rely on religious language to talk and think about the natural world and personhood.There are significant divisions among Peirce scholars: the... (shrink)

Hellman and Shapiro explore the development of the idea of the continuous, from the Aristotelian view that a true continuum cannot be composed of points to the now standard, entirely punctiform frameworks for analysis and geometry. They then investigate the underlying metaphysical issues concerning the nature of space or space-time.

My training in the field of languages - musical, visual, and verbal - was always marked by attention to the materiality of languages themselves and to the means how they are transmitted to allow their communicative functions. Since the phonatory system, installed in the body itself, these means constitute technologies that have evolved over the centuries, bringing with them new forms of languages, such as the different forms of writing, the Gutenberg galaxy and, from the 19th century onwards, the industrial, (...) electronic, and digital revolutions, each introducing technologies of their own. When language issues are placed in the focus of attention, what matters, since the industrial revolution, is the advent of cognitive technologies, such as photography, cinema, followed by electronic technologies - radio and television -, and, finally, the explosion of the digital revolution with all its new language forms and consequently of cognition, which today are distributed across the most different applications and platforms. The study of this evolution led me to postulate, based on the inspiration gathered from some authors, that human cognition is, since the first forms of writing, growing outside the human skull. Therefore, this is a proposal that concerns the exosomatization of human intelligence and cognition with all the contradictions that this brings. This article is dedicated to explaining this proposal with attention to the way it was developed in my work along the years. (shrink)

How we ought to diagnose, categorise and respond to spectrum disabilities such as autism and Attention Deficit/Hyperactivity Disorder (ADHD) is a topic of lively debate. The heterogeneity associated with ADHD and autism is described as falling on various continua of behavioural, neural, and genetic difference. These continua are varyingly described either as extending into the general population, or as being continua within a given disorder demarcation. Moreover, the interrelationships of these continua are likewise often vague and (...) subject to diverse interpretations. -/- In this paper, I explore geneticists' and self-advocates’ perspectives concerning autism and ADHD as continua. These diagnoses are overwhelmingly analysed as falling on a continuum or continua of underlying traits, which supports the notion of “the neurodiversity spectrum”, i.e., a broader swath of human neural and behavioural diversity on which some concentrations of different functioning are diagnosed. I offer a taxonomy of conceptions of the genetic, phenotypic, and endophenotypic dimensionality within and beyond these diagnostic categories, and suggest that the spectrum of neurodiversity is characteristically endophenotypic. (shrink)

The ideas of creatio ex nihilo of the universe and creatio continua of new matter out of nothing entered the arena of natural science with the advent of the Big Bang and the steady-state theories in the mid-twentieth century. Adolf Grünbaum has tried to interpret the steady-state theory in such a way, to show that the continuous formation of new matter out of nothing in this theory can be explained purely physically. In this paper, however, it will be shown (...) that Grünbaum's interpretation encounters at least three problems: not distinguishing between material and efficient causes, inconsistency, and misconceiving the law of density conservation. (shrink)

Among improvisers and composers today there is a resurgence of interest in experimental music (EM) practices that welcome contingency; engaging with unforeseen circumstances as an essential component of the music-making process, and a means to sonic discovery. I propose theExperimental Composition Improvisation Continua(ECIC) as a model with which to better understand these experimental musical works. The historical Experimental Music movement of the 1950s and 60s is briefly revisited, and the jazz tradition included as an essential protagonist; both being important (...) historical movements leading to the formulation of ideas around contingent musical practices. The ECIC model is outlined as providing a means to observe the interactions and continua between composition and improvisation on the one hand and more or less experimentally conceived music on the other. This model is applied as an investigative and comparative tool to three distinctive works in order to illuminate the presence or otherwise of various experimental interactions within them. The works are: “Spiral Staircase” – a composition by written by Satoko Fujii in late 2007, John Cage’s4′33″, and a performance of “My Favorite Things” by the John Coltrane Quartet. Further possible applications of the ECIC are suggested in the conclusion. (shrink)

Nos proponemos abordar la experiencia de formación docente continua en el área de filosofía, en el marco de la política de capacitación que viene desarrollando la provincia de Buenos Aires desde hace varios años, y que permitió llegar masivamente a docentes, directivos y otros actores de la comunidad educativa a través de cursos y diversas acciones de formación continua. Para el área de filosofía constituye una experiencia inédita, sostenida durante trece años, en una de las más grandes jurisdicciones (...) educativas de la región en cuanto a cantidad de docentes, alumnos y escuelas. Allí se conformó un equipo de trabajo integrado por docentes con formación académica en filosofía, que elaboró y llevó a cabo cursos y seminarios dirigidos a docentes de filosofía y de otras áreas disciplinares. En este trabajo desplegamos algunos principios filosóficos y políticos puestos en juego en dicha experiencia de capacitación, y ofrecemos algunas ideas que atañen tanto a la formación inicial de profesores/as de filosofía como al lugar de la filosofía en la escuela. (shrink)

Many properties of compacta have “textbook” definitions which are phrased in lattice-theoretic terms that, ostensibly, apply only to the full closed-set lattice of a space. We provide a simple criterion for identifying such definitions that may be paraphrased in terms that apply to all lattice bases of the space, thereby making model-theoretic tools available to study the defined properties. In this note we are primarily interested in properties of continua related to unicoherence; i.e., properties that speak to the existence (...) of “holes” in a continuum and in certain of its subcontinua. (shrink)

This is a survey of the concept of continuity. Efforts to explicate continuity have produced a plurality of philosophical conceptions of continuity that have provably distinct expressions within contemporary mathematics. I claim that there is a divide between the conceptions that treat the whole continuum as prior to its parts, and those conceptions that treat the parts of the continuum as prior to the whole. Along this divide, a tension emerges between those conceptions that favor philosophical idealizations of continuity and (...) those that are more readily available for mathematico-scientific use. (shrink)

Este artículo intenta pensar paralelamente la noción de «inquiétude» desde un punto de vista ontológico en Leibniz y desde un punto de vista social y político en Montesquieu. Esta lectura permite no sólo analizar conjuntamente dos filosofías que han sido poco comparadas, sino también resolver de alguna manera un problema clásico que aparece a menudo en las interpretaciones de Montesquieu: la noción de inquietud podría pensarse como el «principio» de gobierno de la república moderna, aquél que nunca es explicitado a (...) lo largo de toda la obra de Montesquieu. La primera parte del artículo será consagrada entonces al análisis de algunos capítulos del libro II de los Nuevos ensayos de Leibniz, la segunda al capítulo 27 del libro XIX del Espíritu de las leyes. (shrink)

This article suggests that criminality in leaders might best be understood by ethicists as a matter of degree. Leaders may take without legitimate claim a variety of tangible or intangible goods including ideas and personal health. The extent to which any such act should be disfavoured is subject to debate. Moreover, both theft and control may be understood as continuous phenomena. Kleptocratic regimes within workplace or family may foster in people a habit of accepting similar treatment from economic and political (...) leaders at all levels. Forms of governance may be arranged on a continuum from those that serve to those that exploit their subjects. Responses to kleptocratic regimes range from acceptance through unconscious and conscious resistance to violent revolt. (shrink)

This review essay on Janice Raymond's A Passion for Friends, sympathetic to the author's inquiry into the institutional contexts of female friendship, criticizes as unnecessary its rejection of feminist separatism and of the “lesbian continuum” and formulates a possible connection of its account of sources of passionate friendship among women to the new research on women and violence.

Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This book explores the key ideas and debates concerning continuity over more than 2500 years.

The book analyses the differences between the mathematical interpretation and the phenomenological intuition of the continuum. The basic idea is that the continuity of the experience of space and time originates in phenomenic movement. The problem of consciousness and of the spaces of representation is related to the primary processes of perception. Conceived as an interplay between cognitive science, linguistics and philosophy, the book presents a conceptual framework based on a dynamic and experimental approach to the problem of the continuum. (...) Besides presenting the primitives of a theory of cognitive space and time, it presents a theory of the observer, analyzing the relationship among perspective, points of view and unity of consciousness. The book's chapters deal with the dynamic elaboration and recognition of forms from the lower to the higher processes in the various perceptual fields. Experimental analysis from visual, auditory and tactile perception outline the basic structures of intentionality and its counterpart in language and gesture. (Series B). (shrink)

The dual-continua model of mental health provides a contemporary framework for conceptualising and operationalising mental health. According to this model, mental health is distinct from but related to mental illness, and not the opposite or merely the absence of psychopathology symptoms. To examine the validity of the dual-continua model, previous studies have either applied variable-based analysis such as confirmatory factor analysis, or used predetermined cut-off points for subgroup division. The present study extends this contribution by subjecting data from (...) an African sample to both CFA and latent class analysis to test the dual-continua model in Africa. We applied CFA separately for the Mental Health Continuum—Short Form and Patient Health Questionnaire—9 ; and LCA on combined item responses. College students from Ghana, Kenya, Mozambique, and South Africa completed the MHC-SF and PHQ-9. With minor modifications to the measurement models, the CFA results of this study confirm the three-factor structure of the MHC-SF, and a unidimensional solution for the PHQ-9. LCA results show the presence of three distinct latent classes: languishing with moderate endorsement of depressive symptoms, flourishing with low endorsement of depressive symptoms, and moderate mental health with high endorsement of depressive symptoms. These findings further contribute to affirming the evidence for the dual-continua model of mental health, with implications for the assessment of mental health, to inform policy, practise, and future research in community and clinical settings in Africa. (shrink)

HellmanGeoffrey* * and ShapiroStewart.** ** Varieties of Continua—From Regions to Points and Back. Oxford University Press, 2018. ISBN: 978-0-19-871274-9. Pp. x + 208.

‘‘Adaptive radiation’’ is an evocative metaphor for explosive evolutionary divergence, which for over 100 years has given a powerful heuristic to countless scientists working on all types of organisms at all phylogenetic levels. However, success has come at the price of making ‘‘adaptive radiation’’ so vague that it can no longer reflect the detailed results yielded by powerful new phylogeny-based techniques that quantify continuous adaptive radiation variables such as speciation rate, phylogenetic tree shape, and morphological diversity. Attempts to shoehorn the (...) results of these techniques into categorical ‘‘adaptive radiation: yes/no’’ schemes lead to reification, in which arbitrary quantitative thresholds are regarded as real. Our account of the life cycle of metaphors in science suggests that it is time to exchange the spent metaphor for new concepts that better represent the full range of diversity, disparity, and speciation rate across all of life. (shrink)

The nested continua model is a visual methodological device, consisting in the graphic representation of a series of concentric circles representing successive contexts, within which a particular problem can be examined, ranging from the most specific to the least specific. It is ‘not fundamentally about Peirce’ (p. 3); however, Slater draws on Peirce’s ability to accommodate ‘distinctions of enormous gravity’ (p. 4) required in theology and acknowledges that his own model is analogous to Peirce’s Existential Graphs.

Introduction. Eating Disorders (EDs) are serious psychiatric disorders, impacting physical and psychosocial functioning, often with a chronic course and high mortality rates. The two continua model of mental health states that mental health is a complete state, that is not merely the absence of mental illness, but also the presence of mental health. This model was studied among ED patients by comparing the levels of well-being to the Dutch general population and by examining the of well-being and psychopathology. Method. (...) A total of 468 female ED patients participated in this study during application and intake at a specialized ED treatment centre in the Netherlands. They filled out questionnaires about well-being (MHC-SF), general psychopathology (OQ-45), and ED psychopathology (EDE-Q). Categorical and mean well-being levels were calculated. Also, the correlates of these variables were examined with Pearson correlation and multiple hierarchical regression analysis. Results. ED patients showed lower levels of emotional, psychological and social well-being on average compared to the general population. About 26% of the ED patients experienced low levels of well-being (languishing). However, also 13% experienced high levels of well-being (flourishing), varying between 9% in Anorexia Nervosa to 25% in Binge Eating Disorder. ED psychopathology and general well-being showed a moderate negative correlation. For patients with Bulimia Nervosa and Binge Eating Disorder however no such correlation was found. Lower general psychopathology, not having a history of hospitalization for the ED, and adaptive personal functioning were correlated with well-being among ED patients. Conclusion This study shows initial support for the two continua model of mental health among ED patients. Psychopathology and well-being should be considered as related, but distinct dimensions of mental health in ED patients. Further research should focus on the possible reciprocal relationships between psychopathology and well-being during recovery. It is recommended to monitor well-being during treatment and to implement interventions for well-being to realize complete recovery for those patients with inadequate levels of well-being. (shrink)

Novel (categorical) axiomatizations of the classical arithmetic and geometric continua are provided and it is noted that by simply deleting the Archimedean condition one obtains (categorical) axiomatizations of J.H. Conway's ordered field No and its elementary n-dimensional metric Euclidean, hyperbolic and elliptic geometric counterparts. On the basis of this and related considerations it is suggested that whereas the classical arithmetic and geometric continua should merely be regarded as arithmetic and geometric continua modulo the Archimedean condition, No and (...) its geometric counterparts may be regarded as absolute arithmetic and geometric continua modulo von Neumann-Bernays-Godel set theory. (shrink)

A new feminist ideology can be outlined by examining the magazine “Lotta Continua”, official newspaper of the homonymous Italian extra-parliamentary group. Riots in factories and universities were closely reported in the magazine, which painted a society still affected by strong gender inequalities. Split between an opposition to official communism and the spontaneity of the working class conflict, women emerged from family isolation. The great achievements of the Italian feminist movement were reported according to the point of view of the (...) dissident communism. While in Italy the feminist movement was on the rise, the organisation was approaching its end, also due to its conflict with feminist protests. This paper wants to re-construct the image and the representation of left-wing feminism, in a crucial moment for the history of Italian society and communism. (shrink)