El objetivo de este artículo es explicar las características básicas de la concepción aristotélica de la continuidad sostenida a lo largo de su Física. Tal como intentaré mostrar, es imposible comprender realmente qué entiende Aristóteles por “continuidad” si no se comienza por dilucidar la particular posición que tiene la continuidad junto a otros términos, dentro del marco de su teoría física, tales como “sucesión”, contigüidad” y “contacto”. En este punto, mostraré cómo una correcta aproximación a la noción de “continuidad” exige (...) especificar la relación, así como también la diferencia, entre “continuidad” y “contigüidad”, ya que no es del todo claro cómo debemos entender esta diferencia terminológica al interior de la física aristotélica. Luego, y finalmente, mi análisis se concentrará en examinar qué afirma Aristóteles en relación a la “continuidad” propiamente tal. Éste análisis, a su vez, aborda los conceptos más importantes de la teoría aristotélica de la continuidad y aborda, a su vez, el llamado carácter operativo de la concepción aristotélica del continuum.The aim of this paper is to explain the basic characteristics of Aristotle’s theory of continuity in his treatise on Physics. As I shall try to show, it is impossible to really understand what Aristotle means by the term ‘continuity’ unless we place it context with other significant terms he uses in developing the framework of his physical theory, for example: ‘succession’, ‘contiguity’ and ‘contact’. In addition, I will explain the importance of specifying particularly both the relation and difference between the terms ‘continuity’ and ‘contiguity’, since other commentators have placed a variety of interpretations on this terminological difference. Then, and finally, my analysis will concentrate on examining what Aristotle deduces from his theory of continuity. In conclusion, this analysis goes further than any other in detailing and explaining the most important concepts of Aristotle’s theory of continuity. (shrink)

In our contribution we will observe phenomenal architecture of a mind and operational architectonics of the brain and will show their intimate connectedness within a single integrated metastable continuum. The notion of operation of different complexity is the fundamental and central one in bridging the gap between brain and mind: it is precisely by means of this notion that it is possible to identify what at the same time belongs to the phenomenal conscious level and to the neurophysiological level (...) of brain activity organization, and what mediates between them. Implications for linguistic semantics, self-organized distributed computing algorithms, artificial machine consciousness, and diagnosis of dynamic brain diseases will be discussed briefly. (shrink)

It is generally acknowledged that onomatopoeia poses challenges for translation. However, there is little research into the translation of onomatopoeia in Pragmatics. This study seeks to examine the nature of onomatopoeia and its implications for translation from the perspective of relevance theory, addressing, in particular, the following questions: Can notions from pragmatics help to account for the perceived challenges involved in translating onomatopoeia? Would the showing-meaning nature affect the translation of onomatopoeia? What other factors result in difficulties in (...) translating onomatopoeia and why? To this end, a corpus-based analysis of onomatopoeia was conducted using user-generated data provided by Cookpad Inc. Findings show that the relevance-theoretic notions of the showing-meaning continuum and perceptual resemblance can indeed help account for the perceived challenges in translating onomatopoeia. Findings also show that stylistic aspects, such as types of expressions and text types, also impact on the translation of onomatopoeia. (shrink)

In recent work Sperber and Wilson expand on ideas initially presented in Relevance (1986) and flesh out continuua between showing and meaning, and determinate and indeterminate content. Drawing on Sperber and Wilson’s work, and at points defending it from what I see as potential objections, I present a Schema of Communicative Acts (SCA) that includes an additional third continuum between linguistic and non-linguistic content. The SCA clears the way for consideration of what exactly is meant by (...) class='Hi'>showing, the motivations of speakers, how affect impacts expression, and metaphor. The SCA allows us to consider not only how but why we engage in certain forms of communicative behavior, and captures the incredible nuance of human interactions: said and meant, linguistic and non-linguistic, determinate and indeterminate. (shrink)

Most studies on Nietzsche seldom associate him with the dialectic method. We readily think of Socrates, Hegel, and Marx when we hear of dialectic, but very rarely, if at all, of Nietzsche. To date, very few studies on Nietzsche have claimed that one of the German philosopher's underpinning philosophical methodologies in his literary oeuvre is the dialectic. This paper thus intends to show that Nietzsche has been employing the dialectic throughout his writings, especially in his treatment of the "free spirits"-a (...) recurring subject in his different compositions. To do this, I will first revisit the meaning of dialectic in Socrates, Hegel, and Marx and subsequently argue that in Nietzsche, a type of dialectic akin to Hegel's permeates his writings. In the next parts of this paper, I will discuss in-depth how for Nietzsche, the incarnation of the free spirits involves not just one, but a continuum of triple dialectic. I will argue that to become a free spirit, one must constantly apply the dialectics of (1) criticality and openness, (2) unlearning and relearning, and (3) overcoming and becoming. These dialectics, in my view, are the necessary conditions for any individual to be truly free. In this paper, I will importantly highlight that these dialectics run through Nietzsche's works starting from the early up to the final period of his literary productivity. (shrink)

Despite Stewart admitting his own “socialist” sympathies, The Daily Show often critiques not only right‐leaning but left‐leaning language. Interestingly, despite the show's ironic satire, it aims at greater accuracy as a means to the larger end of truth in general, a stream of thinking termed “modernism.” But in “postmodernism,” truth is seen more as a continuum and a process. The show and its writers “teach that deliberation is not a means to an end but an end in itself. Discussion, (...) dialogue, provocation, and questioning are valued for their own sake—not because they lead to truth but because they foster a community able to discern untruth.” Better, the author believes the show does lead to truer understanding. But more than information, the show promotes transformation—from knee‐jerk habits of mind to mindful self‐awareness. One way it does so is by catching how people try to manipulate opinion using the red herring tactic. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy, Psychiatry, & Psychology 10.1 (2003) 25-27 [Access article in PDF] Gender, Body, Meaning:Anthropological Perspectives on Self-Injury and Borderline Personality Disorder Carolyn Sargent THE CENTRAL THEMES OF "Commodity Body/Sign: Borderline Personality Disorder and the Signification of Self-Injurious Behavior" reflect issues that cut across the disciplines represented by this journal and have received increasing attention from anthropologists. Medical anthropologists, as well as psychological anthropologists and others interested in symbolic (...) analysis of the body, have addressed such topics as the culture of biomedicine and the cultural shaping of psychiatric classification, the multiple meanings of body modifications, power relations in therapeutic interactions between doctor and patient, and cultural variation in understandings of normality and abnormality.Curiously, there is little anthropological literature that directly focuses on either borderline personality disorder (BPD) or self-injurious acts per se. Indeed anthropological research on psychiatric diagnosis, classification, and treatment, as well as ethnopsychiatry, include scant reference to personality disorders. One exception is Nuckolls' 1992 article, "Toward a Cultural History of the Personality Disorders," which raises pertinent questions for one of Potter's introductory statements—that the majority of those diagnosed with BPD are women. Nuckolls directly addresses gender ideology and gender roles in the United States in his comparison of antisocial personality and histrionic personality diagnoses. In his paper, he argues that these personality disorders have cultural histories and are strongly congruent with prevailing gender stereotypes, such that men are many times more likely to be diagnosed as antisocial than women and women much more likely to be diagnosed as histrionic (Nuckolls 1992, 37). He also historicizes the emergence of certain behavioral styles that have been seen as characteristic of women and men, and the evolution of psychiatric diagnoses that classify extreme manifestations of these behavioral styles.The issue of why women, rather than men, are more frequently diagnosed with BPD is not elaborated in Potter's article, although she notes the importance of considering the intersection of gender and "identifying behaviors" associated with BPD. Cultural analyses of gender ideology in the [End Page 25] United States might suggest that the connection involves gendered expectations concerning emotionality and relational context but these articulations remain intriguing and underexplored. One might speculate that BPD/self-injury occurs in the context of particular gender ideologies, perhaps in class-based, industrialized societies where the body is highly commodified. It appears that the history of this constellation of symptoms and behaviors remains to be written.Cultural analysis of self-injury, a theme that runs through Potter's article, tends to be embedded in the anthropological literature on body ornamentation, initiation rituals, and "culture-bound" syndromes. Mascia-Lees and Sharpe (1992, 1) describe the body as "a site of adornment, manipulation, and mutilation," practices with roots reaching back as far as 30,000 years, and include as examples head deformation, scarification, foot binding, tooth filing, lip plates, nose rings, tattoos, subincision, and genital cutting.However, the concept of self-injury, as Potter notes, is problematic in the discipline of anthropology given the significance historically accorded to cultural relativism. Correspondingly, body "modification" is not "self-injury" as long as it is socially normative, for example, a facet of an initiation ordeal or body ornamentation (e.g., circumcision, scarification, piercing). Among the rare examples of acts that seem readily identifiable as "self-injury" are New Guinea practices of cutting off a finger to demonstrate mourning and Baatombu (West African) male finger amputation to show grief and anger over a wife's infidelity. Both are, however, considered culturally legitimate and not indicative of pathology.Potter's argument draws heavily on the notion of "body as text," derived largely from literary theory and feminist philosophy (Butler 1990; Jaggar and Bordo 1989). The perspective of "body as text" has influenced anthropological theory over the past two decades, particularly in the interpretive and postmodernist schools of thought. The body as a text of femininity is aptly characterized by Bordo, who argues that the continuum between female disorder and normal femininity is revealed by means of an analysis of symbolic meaning of gender in... (shrink)

In this paper, I propose a logical-cognitive approach to argumentation and advocate an idea that argumentation presupposes that intelligent agents engaged in it are cognitively diverse. My approach to argumentation allows drawing distinctions between justification, conviction and persuasion as its different kinds. In justification agents seek to verify weak or strong coherency of an agent’s position in a dialogue. In conviction they argue to modify their partner’s position by means of demonstrating weak or strong cogency of their positions before a (...) ‘rational judge’. My approach to argumentation employs a ‘light’ version of Dung’s abstract argumentative frameworks. It is based on Stich’s idea of agents’ cognitive diversity the epistemic aspect of which is argued to be close to Pavilionis’s conception of meaning continuum. To illustrate my contributions I use an example based on the Kitchen Debate (1959) between Khrushchev and Nixon. (shrink)

Plato claimed that the regular solids are the building blocks of all matter. His views, commonly referred to as the geometric atomistic model, had enormous impact on human thought despite the fact that four of the five Platonic solids can not fill space without gaps. In this paper we quantify these gaps, showing that the errors in Plato’s estimates were quite small. We also develop a mean field approximation to convex honeycombs using a generalized version of Plato’s idea. This (...) approximation not only admits to view convex mosaics in$$d=3$$d=3dimensions as a continuum but we also find that it is quite accurate, showing that Plato’s geometric intuition may have been remarkable. (shrink)

By conceiving of autism and psychosis as diametrically opposite phenotypes of underactive and overactive mentalizing, respectively, Crespi & Badcock (C&B) commit themselves to a continuum view of intercorrelated mentalizing functions. This view fails to acknowledge dissociations between mentalizing functions and that psychotic people show a mixture of both hypo- and hyper-mentalizing.

Historically, interjections have been treated in two different ways: as part of language, or as non-words signifying feelings or states of mind. In this paper, I assess the relative strengths and weaknesses of two contemporary approaches that reflect the historical dichotomy, and suggest a new analysis which preserves the insights of both. Interjections have a natural and a coded element, and are better analysed as falling at various points along a continuum between ‘showing’ and ‘saying’. These two notions (...) are characterised in theoretical terms, and some implications of the proposed approach are considered. (shrink)

Historically, interjections have been treated in two different ways: as part of language, or as non-words signifying feelings or states of mind. In this paper, I assess the relative strengths and weaknesses of two contemporary approaches that reflect the historical dichotomy, and suggest a new analysis which preserves the insights of both. Interjections have a natural and a coded element, and are better analysed as falling at various points along a continuum between `showing' and `saying'. These two notions (...) are characterised in theoretical terms, and some implications of the proposed approach are considered. (shrink)

According to Grice's “Modified Occam's Razor”, in case of uncertainty between the implicature account and the polysemy account of word uses it is parsimonious to opt for the former. However, it is widely agreed that uses can be partially conventionalised by repetition. This fact, I argue, raises a serious problem for MOR as a methodological principle, but also for the substantial notion of implicature in lexical pragmatics. In order to overcome these problems, I propose to reinterpret implicatures in terms of (...) implicature-like effects delivered by non-inferential processes. (shrink)

We present here an approach to the fine structure of L based solely on elementary model theoretic ideas, and illustrate its use in a proof of Global Square in L. We thereby avoid the Lévy hierarchy of formulas and the subtleties of master codes and projecta, introduced by Jensen [3] in the original form of the theory. Our theory could appropriately be called ”Hyperfine Structure Theory”, as we make use of a hierarchy of structures and hull operations which refines the (...) traditional Lα -or Jα-sequences with their Σn-hull operations.§1. Introduction. In 1938, K. Gödel defined the model L of set theory to show the relative consistency of Cantor's Continuum Hypothesis. L is defined as a unionof initial segments which satisfy: L0 = ∅, Lλ = ∪α<λLα for limit ordinals λ, and, crucially, Lα + 1 = the collection of 1st order definable subsets of Lα. Since every transitive model of set theory must be closed under 1st order definability, L turns out to be the smallest inner model of set theory. Thus it occupies the central place in the set theoretic spectrum of models.The proof of the continuum hypothesis in L is based on the very uniform hierarchical definition of the L-hierarchy. The Condensation Lemma states that if π : M → Lα is an elementary embedding, M transitive, then some ; the lemma can be proved by induction on α. If a real, i.e., a subset of ω, is definable over some Lα,then by a Löwenheim-Skolem argument it is definable over some countable M as above, and hence over some, < ω1. This allows one to list the reals in L in length ω1 and therefore proves the Continuum Hypothesis in L. (shrink)

This paper is dedicated to a critical discussion of the logical-philosophical conceptions of language that are presented in Rolandas Pavilionis’ book Language. Logic. Philosophy, its primary focus being an analysis of Pavilionis’ hypothesis of meaning as nonverbal continuous system. The paper consists of two parts. Two types of theories of meaning are distinguished and an analysis of the discussed conceptions of natural languages is proposed in the first, analytic, part of the paper: assumptions that are relevant for the (...) philosophical semantics are identified and used for clarification of the presuppositions of the alternative semantic programme advanced by Pavilionis. Two shortcomings of Pavilionis’ semantic theory are presented in the second, critical, part of the paper. First, it is maintained that Pavilionis’ theory of understanding, which suggests taking the notion of interpretation as fundamental, is unacceptable: interpretation is an enabling, not a constitutive condition of understanding. Second, due to the lack of discussion of the epistemic aspects of meaning and the relation between concepts and conceptual capacities, it remains unclear what theoretical value can be carried by the idea of innate concepts and how can it be made compatible with externalistic aspects of this semantic theory. (shrink)

We often speak of 'Eastern' and 'Western' philosophy, yet it is not always easy to distinguish the key factors that justify this distinction. This essay explores the two very different conceptions of the continuum that underlie these traditions of thought and knowledge. The views of Hermann Weyl are given and it is proposed they are correct. Attention is drawn to the mutually-exclusive visions of the continuum that separate the philosophies of East and West, for they offer us a (...) way of pinning down a definition of these vague geographical terms so as to give them, in at least one respect, a clear philosophical and scientific meaning. (shrink)

The Continuum Companion to Philosophy of Language offers the definitive guide to contemporary philosophy of language. The book covers all the fundamental questions asked by the philosophy of language - areas that have continued to attract interest historically as well as topics that have emerged more recently as active areas of research. Ten specially commissioned essays from an international team of experts reveal where important work continues to be done in the area and, most valuably, the exciting new directions (...) the field is taking. The Companion explores issues pertaining to the nature of language, form semantics, theories of meaning, reference, intensional contexts, context-dependence, pragmatics, the normativity of language, analyticity, a priority and modality. Featuring a series of indispensable research tools, including an A to Z of key terms and concepts, a detailed list of resources and a fully annotated bibliography, this is the essential reference tool for anyone working in the philosophy of language. (shrink)

How do people understand questions about cause and prevent? Some theories propose that people affirm that A causes B if A's occurrence makes a difference to B's occurrence in one way or another. Other theories propose that A causes B if some quantity or symbol gets passed in some way from A to B. The aim of our studies is to compare these theories' ability to explain judgements of causation and prevention. We describe six experiments that compare judgements for causal (...) paths that involve a mechanism, i.e. a continuous process of transmission or exchange from cause to effect, against paths that involve no mechanism yet a change in the cause nevertheless brings about a change in the effect. Our results show that people prefer to attribute cause when a mechanism links cause to effect. In contrast, prevention is sensitive both to the presence of an interruption to a causal mechanism and to a change in the outcome in the absence of a mechanism. In this sense, ‘prevent’ means something different than ‘cause not'. We discuss the implications of our results for existing theories of causation. (shrink)

The article deals with Cantor's argument for the non-denumerability of reals somewhat in the spirit of Lakatos' logic of mathematical discovery. At the outset Cantor's proof is compared with some other famous proofs such as Dedekind's recursion theorem, showing that rather than usual proofs they are resolutions to do things differently. Based on this I argue that there are "ontologically" safer ways of developing the diagonal argument into a full-fledged theory of continuum, concluding eventually that famous semantic paradoxes (...) based on diagonal construction are caused by superficial understanding of what a name is. (shrink)

Suppose a computer prints out the following little "poem": The shooting of the hunters she heardBut to pity it moved her not. What can we say about the meaning of this "poem"? We can say that it is ambiguous. It could mean: She heard the hunters shooting at animals, people, etc., but she had no pity for the victims. . . . She heard the hunters being shot but did not pity them. . . . She heard the hunters (...) shooting at someone or something and she heard the hunters being shot but did not pity either. An author could use the above word sequence to convey either , , or . But since we cannot treat the text produced by the computer as anyone's use of the words in question, it would not make sense to decide among its linguistically possible readings, just as it would not make sense to choose among the linguistically possible readings of an ambiguous sentence if it is considered in abstraction from its use by a speaker on a particular occasion. For example, it would not make sense to say of the sentence "He saw the man carrying the suitcase" that it just means "He saw the man who is carrying the suitcase" if we know that and in which what ways the sentence is ambiguous. If someone did say this, we would be inclined to think either that he does not know that the sentence is ambiguous or that he is talking not about the sentence but about an utterance of that sentence by a speaker on some occasion. Hence all we can do in interpreting the computer "poem" is to specify the set of its linguistically possible readings, namely, {, , }. But it would not make sense to select , for example, and say, "That is what the computer poem means, not , nor ." P. D. Juhl is an assistant professor of German at Princeton University. The present essay, in a different form, will appear in his forthcoming book, The Nature of Literary Interpretation. See also: "Against Theory" by Steven Knapp and Walter Benn Michaels in Vol. 8, No. 4. (shrink)

Here we will go beyond the variety of violence to show its unity, common points and continuities. For although there are multiple forms of violence, they are interrelated: they define a continuum from trivial to extreme violence. Violence against oneself, things, living things such as plants and animals, other nations, the other, one’s fellow human beings, therefore the violence of society against its members, which returns to self-violence. Another continuum is its spiral development, with violence generating violence and (...) pushing it to grow. Violence can also be learned, we progress ever further in violence: in gangs, in armies, in society... Everyone is capable of violence, sometimes to a good advantage as in self-defence. Here it resides in necessity, that of survival, but in general it is impunity that allows and encourages it. In closed, totalitarian, universes: family, work, hospital, army, state... The proximity and distance between the perpetrator and the victim defines yet another continuity. We will discuss the various elements that contribute to its development. And paradoxically, to see that violence also serves to avoid violence. In this way, evacuating it, refusing it, is in fact feeding it, which makes today’s violence, which is an evolution of previous violence and which prepares and defines tomorrow’s violence. (shrink)

This article arises out of critical contemplation of ‘skills’ in relation to Higher Education pedagogy as it relates to the Arts, Humanities and Social Sciences. As the emphasis on skills dominates more and more of the discourse about pedagogy in Higher Education, the article aims to make some critical comments about the reductionist approach to education that easily becomes part of skills discourse. In addition to criticising instrumentalist deployment of ‘skills’ in Higher Education policy, the article also considers the supposedly (...) most ‘radical’ perspective on the idea of skill which is implicit in enactivists’ accounts of the embedding of sensorimotor action in cognition. It is argued that such a perspective is undermined by its insistence on a model of direct human-environment interaction which brackets creativity, anticipation and the future. The article suggests that such a perspective would be illumined by dialogue with Ernst Bloch’s concept of the ‘not-yet’. (shrink)

It is often argued that the indispensability of continuum models comes from their empirical adequacy despite their decoupling from the microscopic details of the modelled physical system. There is thus a commonly held misconception that temperature varying across a region of space or time can always be accurately represented as a continuous function. We discuss three inter-related cases of temperature modelling — in phase transitions, thermal boundary resistance and slip flows — and show that the continuum view is (...) fallacious on the ground that the microscopic details of a physical system are not necessarily decoupled from continuum models. We show how temperature discontinuities are present in both data (experiments and simulations) and phenomena (theory and models) and how discontinuum models of temperature variation may have greater empirical adequacy and explanatory power. The conclusions of our paper are: a) continuum idealisations are not indispensable to modelling physical phenomena and both continuous and discontinuous representations of phenomena work depending on the context; b) temperature is not necessarily a continuously defined function in our best scientific representations of the world; and c) that its continuity, where applicable, is a contingent matter. We also raise a question as to whether discontinuous representations should be considered truly de-idealised descriptions of physical phenomena. (shrink)

It is traditionally thought that metaphorical utterances constitute a special— nonliteral—kind of departure from lexical constraints on meaning. Dan Sperber and Deirdre Wilson have been forcefully arguing against this: according to them, relevance theory’s comprehension/interpretation procedure for metaphorical utterances does not require details specifi c to metaphor (or nonliteral discourse); instead, the same type of comprehension procedure as that in place for literal utterances covers metaphors as well. One of Sperber and Wilson’s central reasons for holding this is that (...) metaphorical utterances occupy one end of a continuum that includes literal, loose and hyperbolic utterances with no sharp boundaries in between them. Call this the continuum argument about interpreting metaphors. My aim is to show that this continuum argument doesn’t work. For if it were to work, it would have an unwanted consequence: it could be converted into a continuum argument about interpreting linguistic errors, including slips of the tongue, of which malaprops are a special case. In particular, based on the premise that the literal–loose–metaphorical continuum extends to malaprops also, we could conclude that the relevance-theoretic comprehension procedure for malaprops does not require details specifi c to linguistic errors, that is, details beyond those already in place for interpreting literal utterances. Given that we have good reason to reject this conclusion, we also have good reason to rethink the conclusion of the continuum argument about interpreting metaphors and consider what additional (metaphor-specifi c) details—about the role of constraints due to what is lexically encoded by the words used—might be added to relevance-theoretic comprehension procedures. (shrink)

What does world peace mean? Peace is more than the absence and prevention of war, whether international or civil, yet most of our ways of conceptualizing and measuring peace amount to just that definition. In this essay, as part of the roundtable “World Peace,” I argue that any vision of world peace must grapple not only with war but with the continuums of violence and peace emphasized by feminists: running from the home and community to the public spaces of international (...) relations. Breaking free of the constraints of the last century's intellectual boundaries, I suggest that war and peace are not a dichotomy but rather are intimately related. Yet the dearth of feminist perspectives in global debates prevents us from seeing how violence and harm are exacerbated in households and through the global economy under conditions of both “war” and “peace.” To understand the possibilities for world peace, we must understand these varieties of violence and harm that threaten peace. And tosustainpeace we must address the harmful gendered identities, ideologies, and social dynamics that support violence in every society. A narrow understanding of peace as merely the absence of organized violence does not engender the kind of nuanced and rich understanding of human history and human relations needed to bring an end to the structural and physical violence that remains pervasive worldwide. (shrink)

We examine the question of how many Boolean algebras, distinct up to isomorphism, that are quotients of the powerset of the naturals by Borel ideals, can be proved to exist in ZFC alone. The maximum possible value is easily seen to be the cardinality of the continuum $2^{\aleph_{0}}$ ; earlier work by Ilijas Farah had shown that this was the value in models of Martin's Maximum or some similar forcing axiom, but it was open whether there could be fewer (...) in models of the Continuum Hypothesis. We develop and apply a new technique for constructing many ideals whose quotients must be nonisomorphic in any model of ZFC. The technique depends on isolating a kind of ideal, called shallow, that can be distinguished from the ideal of all finite sets even after any isomorphic embedding, and then piecing together various copies of the ideal of all finite sets using distinct shallow ideals. In this way we are able to demonstrate that there are continuum-many distinct quotients by Borel ideals, indeed by analytic P-ideals, and in fact that there is in an appropriate sense a Borel embedding of the Vitali equivalence relation into the equivalence relation of isomorphism of quotients by analytic P-ideals. We also show that there is an uncountable definable wellordered collection of Borel ideals with distinct quotients. (shrink)

We examine the question of how many Boolean algebras, distinct up to isomorphism, that are quotients of the powerset of the naturals by Borel ideals, can be proved to exist in ZFC alone. The maximum possible value is easily seen to be the cardinality of the continuum $2^{\aleph_{0}}$ ; earlier work by Ilijas Farah had shown that this was the value in models of Martin's Maximum or some similar forcing axiom, but it was open whether there could be fewer (...) in models of the Continuum Hypothesis. We develop and apply a new technique for constructing many ideals whose quotients must be nonisomorphic in any model of ZFC. The technique depends on isolating a kind of ideal, called shallow, that can be distinguished from the ideal of all finite sets even after any isomorphic embedding, and then piecing together various copies of the ideal of all finite sets using distinct shallow ideals. In this way we are able to demonstrate that there are continuum-many distinct quotients by Borel ideals, indeed by analytic P-ideals, and in fact that there is in an appropriate sense a Borel embedding of the Vitali equivalence relation into the equivalence relation of isomorphism of quotients by analytic P-ideals. We also show that there is an uncountable definable wellordered collection of Borel ideals with distinct quotients. (shrink)

In _The Meaning of the Body_, Mark Johnson continues his pioneering work on the exciting connections between cognitive science, language, and meaning first begun in the classic _Metaphors We Live By_. Johnson uses recent research into infant psychology to show how the body generates meaning even before self-consciousness has fully developed. From there he turns to cognitive neuroscience to further explore the bodily origins of meaning, thought, and language and examines the many dimensions of meaning—including (...) images, qualities, emotions, and metaphors—that are all rooted in the body’s physical encounters with the world. Drawing on the psychology of art and pragmatist philosophy, Johnson argues that all of these aspects of meaning-making are fundamentally aesthetic. He concludes that the arts are the culmination of human attempts to find meaning and that studying the aesthetic dimensions of our experience is crucial to unlocking meaning's bodily sources. Throughout, Johnson puts forth a bold new conception of the mind rooted in the understanding that philosophy will matter to nonphilosophers only if it is built on a visceral connection to the world. “Mark Johnson demonstrates that the aesthetic and emotional aspects of meaning are fundamental—central to conceptual meaning and reason, and that the arts show meaning-making in its fullest realization. If you were raised with the idea that art and emotion were external to ideas and reason, you must read this book. It grounds philosophy in our most visceral experience.”—George Lakoff, author of _Moral Politics_. (shrink)

It is argued that colour name strategy, object name strategy, and chunking strategy in memory are all aspects of the same general phenomena, called stereotyping, and this in turn is an example of a know-how representation. Such representations are argued to have their origin in a principle called the minimum duplication of resources. For most the subsequent discussions existence of colour name strategy suffices. It is pointed out that the BerlinA- KayA universal partial ordering of colours and the frequency of (...) traffic accidents classified by colour are surprisingly similar; a detailed analysis is not carried out as the specific colours recorded are not identical. Some consequences of the existence of a name strategy for the philosophy of language and mathematics are discussed: specifically it is argued that in accounts of truth and meaning it is necessary throughout to use real numbers as opposed to bi-valent quantities; and also that the concomitant label associated with sentences should not be of unconditional truth, but rather several real-valued quantities associated with visual communication. The implication of real-valued truth quantities is that the Continuum Hypothesis of pure mathematics is side-stepped, because real valued quantities occur ab initio. The existence of name strategy shows that thought/sememes and talk/phonemes can be separate, and this vindicates the assumption of thought occurring before talk used in psycho-linguistic speech production models. (shrink)

Thomas Kuhn with his classic The Structure of Scientific Revolutions is one of the most influential and widely read philosophers of the 20th century. Kuhn's claim that the meanings of scientific terms change is often taken to be refuted by recent advances in the philosophy of language. Meaning Changes challenges this interpretation showing that meaning change in Kuhn has multiple aspects: Semantic, mental and historical. The author describes the traditional view with clarity, but demonstrates that Kuhn's idea (...) stems from his studies of history. The book explains how Kuhn's philosophy is supported by cognitive science and why meaning change is relevant to the history of ideas. It argues that Kuhn's case against Hilary Putnam's causal theory of reference constitutes serious criticism of the account. The book concludes by analysing Kuhn's 'historical perspective' in the coherentist epistemological framework, which regards the question of scientific progress ultimately as empirical. This book will be of particular interest to students and scholars of the history and philosophy of science. It also is valuable reading to anybody interested in philosophy or scientific change. (shrink)

For \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${f,g\in\omega^\omega}$$\end{document} let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${c^\forall_{f,g}}$$\end{document} be the minimal number of uniform g-splitting trees needed to cover the uniform f-splitting tree, i.e., for every branch ν of the f-tree, one of the g-trees contains ν. Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${c^\exists_{f,g}}$$\end{document} be the dual notion: For every branch ν, one of the g-trees guesses ν(m) infinitely often. We show that (...) it is consistent that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${c^\exists_{f_\epsilon,g_\epsilon}{=}c^\forall_{f_\epsilon,g_\epsilon}{=}\kappa_\e psilon}$$\end{document} for continuum many pairwise different cardinals \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\kappa_\epsilon}$$\end{document} and suitable pairs \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${(f_\epsilon,g_\epsilon)}$$\end{document}. For the proof we introduce a new mixed-limit creature forcing construction. (shrink)

We present here an approach to the fine structure of L based solely on elementary model theoretic ideas, and illustrate its use in a proof of Global Square in L. We thereby avoid the Lévy hierarchy of formulas and the subtleties of master codes and projecta, introduced by Jensen [3] in the original form of the theory. Our theory could appropriately be called ”Hyperfine Structure Theory”, as we make use of a hierarchy of structures and hull operations which refines the (...) traditional Lα -or Jα-sequences with their Σn-hull operations.§1. Introduction. In 1938, K. Gödel defined the model L of set theory to show the relative consistency of Cantor's Continuum Hypothesis. L is defined as a unionof initial segments which satisfy: L0 = ∅, Lλ = ∪α<λLα for limit ordinals λ, and, crucially, Lα + 1 = the collection of 1st order definable subsets of Lα. Since every transitive model of set theory must be closed under 1st order definability, L turns out to be the smallest inner model of set theory. Thus it occupies the central place in the set theoretic spectrum of models.The proof of the continuum hypothesis in L is based on the very uniform hierarchical definition of the L-hierarchy. The Condensation Lemma states that if π : M → Lα is an elementary embedding, M transitive, then some ; the lemma can be proved by induction on α. If a real, i.e., a subset of ω, is definable over some Lα,then by a Löwenheim-Skolem argument it is definable over some countable M as above, and hence over some, < ω1. This allows one to list the reals in L in length ω1 and therefore proves the Continuum Hypothesis in L. (shrink)

In this paper I display a general metaphysical assumption that characterizes basic naturalistic views and that is inherited, in a residual form, by their leading teleological rivals. The assumption is that intentional states require identifiable inner vehicles and that to explain intentional properties we must develop accounts that bind specific contents to specific vehicles. I show that this assumption is deeply rooted in representationalist and reductionist theories of content and I argue that it is deeply inappropriate. I sketch the main (...) features of plausible alternatives: such alternatives are either anti-representationalist (Dynamical Systems' models) or anti-reductionist (institution-based approaches), and are not committed to any such metaphysical premise. (shrink)

Many psychological scientists and behavioral neuroscientists affirm that “emotion” influences thinking, decision-making, actions, social relationships, well-being, and physical and mental health. Yet there is no consensus on a definition of the word “emotion,” and the present data suggest that it cannot be defined as a unitary concept. Theorists and researchers attribute quite different yet heuristic meanings to “emotion.” They show considerable agreement about emotion activation, functions, and regulation. The central goal of this article is to alert researchers, students, and other (...) consumers of “emotion” research to the multiple meanings or aspects that distinguished scientists attribute to ”emotion,” increase appreciation of its interesting and challenging complexity, and sharpen perspectives on “emotion” and the associated body of literature that is of critical significance to science and society. (shrink)

Deleuze’s philosophy is permeated with the problem of the continuum. The idea that the coexistence of durations is implied in the concept of duration itself allows Deleuze to offer a fresh perspective on multiplicity, which is distinct from Bergson’s approach, and which proposes new perspectives on the continuum. While Deleuze critiques Leibniz’s view on this concept by highlighting the non-uniform nature of the continuum, the infinitesimal still plays a significant role in his analysis. However, in his late (...) reading of Leibniz, Deleuze emphasises that folds, rather than infinitesimals, should be considered as the smallest components of the continuum’s labyrinth. This implies that there is a union of indiscernible cuts in the continuity, cuts that do not create gaps or breaks in the overall coherence, but rather a labyrinth. I will show how, in exploring this problem, Deleuze and Guattari draw inspiration from Kafka, in order to relate continuity to contiguity. This relation reveals an internal difference that defines the distinction between what is continuous and what is contiguous. This, in our view, marks a considerable shift between Deleuze’s early reading of Bergson and his late reading of Leibniz, and it allows Deleuze to further develop his idea of the continuum. (shrink)

This paper presents a new argument to defend the normativity of meaning, specifically the thesis that there are no meanings without norms. The argument starts from the observation inferentialists have emphasized that incompatibility relations between sentences are a necessary part of meaning as it is understood. We motivate this approach by showing that the standard normativist strategy in the literature, which is developed in terms of veridical reference that may swing free from the speaker’s understanding, violates the (...) ought-implies-can principle, but ours does not. In addition, our approach is superior because, unlike the representationalist approach, it can be extended from declarative sentences to non-representational uses of language. In this paper, however, we only formulate the argument for the base case that involves incompatibility relations between declarative sentences. The goal is not to derive norms from something that is not normative, but to explicate the distinctive type of normativity that is built into meaning as it is understood by language-users. The explication proceeds in two steps. (1) For any sentence s a speaker understands, there is an incompatible sentence s’ the speaker understands to be incompatible with s. (2) In virtue of understanding this incompatibility of meanings, she ought not to be committed to both s and s’. This prohibition is not derived from instrumental practical reason, nor is it based on representational correctness, but its source is the incompatibility of meanings. (shrink)

The major point of contention among the philosophers and mathematicians who have written about the independence results for the continuum hypothesis (CH) and related questions in set theory has been the question of whether these results give reason to doubt that the independent statements have definite truth values. This paper concerns the views of G. Kreisel, who gives arguments based on second order logic that the CH does have a truth value. The view defended here is that although Kreisel's (...) conclusion is correct, his arguments are unsatisfactory. Later sections of the paper advance a different argument that the independence results do not show lack of truth values. (shrink)

In this new book, the author of the classic Truth presents an original theory of meaning, demonstrates its richness, and defends it against all contenders. He surveys the diversity of twentieth-century philosophical insights into meaning and shows that his theory can reconcile these with a common-sense view of meaning as derived from use. Meaning and its companion volume Truth (now published in a revised edition) together demystify two central issues in philosophy and offer a controversial but (...) compelling view of the relations between language, thought, and reality. (shrink)

In recent discussions on the meaning of derogatory terms, most theorists base their investigations on the assumption that slurring terms could in principle have some neutral, i.e. purely descriptive, counterpart. Lauren Ashwell has recently shown that this assumption does not generalize to gendered slurs. This paper aims to challenge the point and benefit of approaching the meaning of derogatory terms in contrast to their allegedly purely descriptive counterparts. I argue that different discursive practices among different communities of practice (...) sometimes change the semantics of a term. By the example of the term ‘black,’ I show in what ways these different practices may amount to semantic contestations which complicate the assessment of whether a specific politically significant term is purely descriptive. My discussion of politically significant terms provides insights into further phenomena such as the appropriation of derogatory terms by the target group or meaning change more generally. Moreover, it not only accounts for the political aspects of a linguistic phenomenon, but equally highlights and explains the oft-neglected but crucial role that language plays in social and political struggles. It thus contributes to ongoing discussions both in philosophy of language and in social and political philosophy. (shrink)

The scope of this extraordinary selection of essays, distilled from nearly a thousand works that the author has written, is literally the entire universe and universe of knowledge. It charts the author's quest for the meaning of life faced with a dominant knowledge system she regards as incoherent, meaningless, and often acting against people and planet. She shows how contemporary scientific findings across all disciplines already provide an authentic knowledge system that's coherent with life and the universe. The aim (...) is to transform science thoroughly from inspiration to research to applications that work for people and planet. This book is simply unique in its scope and content. There is no equivalent. The author surveys and explains contemporary science in depth ranging over philosophy, anthropology, quantum physics and chemistry, neurobiology, psychology, genetics and epigenetics, cosmology, art, humanities, and mathematics. It presents a truly holistic view of nature, with profound implications for life in the social, political, and personal realm. (shrink)

Thoughts of mortality sometimes bring on a crisis in confidence in the meaning in one's life. One expression of this collapse is the midlife crisis. In a recent article, Kieran Setiya argues that if one can value activities as opposed to accomplishments as the primary goods in one's life then one might avoid the midlife crisis. I argue that Setiya's advice, rather than safeguarding the meaning in one's life, substitutes for it something else, a kind of happiness. I (...) use Susan Wolf's concept of meaning in order to make this case. Wolf has not written much about the importance of death, but I argue that her account of meaning shares essential features with the theories developed by Jean-Paul Sartre and Martin Heidegger. Sartre argues that death is an unqualified harm, while Heidegger argues that there is meaning in life only because we are mortal. I conclude by showing how Heidegger's theory of mortality underwrites accounts of meaning like those found in Wolf. (shrink)

This is a survey paper which discusses the impact of large cardinals on provability of the Continuum Hypothesis. It was Gödel who first suggested that perhaps “strong axioms of infinity” could decide interesting set-theoretical statements independent over ZFC, such as CH. This hope proved largely unfounded for CH—one can show that virtually all large cardinals defined so far do not affect the status of CH. It seems to be an inherent feature of large cardinals that they do not determine (...) properties of sets low in the cumulative hierarchy if such properties can be forced to hold or fail by small forcings.The paper can also be used as an introductory text on large cardinals as it defines all relevant concepts. (shrink)

The linguistic meaning of a word in a language is what fully competent speakers of the language have a grasp of merely in virtue of their semantic competence. The meanings of words sometimes change over time. 'Meat' used to mean 'solid food', but now means 'animal flesh eaten as food'. This type of meaning change comes with change of topic, what we’re talking about. Many people interested in conceptual engineering have claimed that there is also meaning change (...) where topic is retained. For example, they claim that the meanings of ‘fish’ and ‘pasta’ have undergone such change and that the meaning of 'marriage' would change this way after gay marriages become legal and widely accepted. In this paper I relate two sets of relatively independent literatures: mainstream philosophy of language and conceptual engineering to argue that on a plausible and widely accepted Minimalist view of meaning that is part and parcel of anti-descriptivism none of the above sorts of cases involve meaning change with topic retention. I do this by showing how to distinguish minimalism about meaning from the related theses of externalism and anti-individualism about intension and how to separate meaning from intension in a way that allows meaning and topic to remain the same despite changes in intension. The larger lesson is that much like we shouldn’t disregard the boundary between the narrowly meaning-related (“semantics”) and the more broadly communication-related (“pragmatics”), we shouldn’t disregard the boundary between the former and the more broadly thought-related, conceptual or cognitive (“cognition”). (shrink)

The 200-Year Continuum is the producer, recorder and exhibitor in Christian Kerrigan's advancing anthology of narratives. Central to Kerrigan's practice is storytelling and myth-making as a means of engaging his audience. Kerrigan uses drawing as his primary mode of research into these narratives which are consequently offered in the form of live Internet feed installations acting as ecological sites, collaborative scientific experiments introducing new organic technologies and digital images of worlds unseen. Each addition acts as a middle story within (...) The 200-Year Continuum. In his narrative, The Amber Clock, a ship is grown in the yew forest, Kingley Vale, over 200 years. As such, he explores the possibilities of time in relationship to technology and the natural world. In his narrative, artificial and wild systems are choreographed, and the natural production of resin is harvested from the yew trees as a way of measuring time. Biological imperatives are harnessed in a second collaborative architectural project entitled Living Architecture: The Protocell. This project seeks to investigate the design potential of using the drivers of biology, the technological issues and the implications of intervention. (shrink)