The purpose of this paper is to investigate the nature of rhetoric and rhetorical strategies that are implicit in the standalone sustainability reporting of the top 24 companies of the Fortune 500 Global. We adopt Bormann’s :396–407, 1972) SCT framework to study the rhetorical situation and how corporate sustainability reporting messages can be communicated to the audience. The SCT concepts in the sustainability reporting’s communication are subject to different types of legitimacy strategies that are used by corporations as a validity (...) and legitimacy claim in the reports. A content analysis has been conducted and structural coding schemes have been developed based on the literature. The schemes are applied to the SCT model which recognizes the symbolic convergent processes of fantasy among communicators in a Society. The study reveals that most of the sample companies communicate fantasy type and rhetorical vision in their corporate sustainability reporting. However, the disclosure or messages are different across locations and other taxonomies of the SCT framework. This study contributes to the current CSR literature about how symbolic or fantasy understandings can be interpreted by the users. It also discusses the persuasion styles that are adopted by the companies for communication purposes. This study is the theoretical extension of the SCT. Researchers may be interested in further investigating other online communication paths, such as human rights reports and director’s reports. (shrink)

The theories of Pierre Bourdieu and Theodor Adorno both conceive culture as legitimating the inequalities of modern societies. But they postulate different mechanisms of legitimation. For Bourdieu, modern culture is a class culture, characterized by socially ranked symbolic differences among classes that make some seem superior to others. For Adorno, modern culture is a mass culture, characterized by a socially imposed symbolic unity that obscures class differences behind a facade of leveled democracy. In his later writings, however, Bourdieu’s (...) theory converges with that of Adorno. He too begins to privilege the high culture of intellectuals over mass culture by employing the universal standard of autonomy from economic interests. But there remains one vital difference between these theories. Bourdieu grounds the origins of a critical, autonomous culture in specific social structures, while Adorno grounds it in technology. (shrink)

The ArgumentErnst Cassirer's theory of language as a symbolic form, one of the richest and most insightful philosophies of language of the twentieth century, went virtually unnoticed in the mainstreams of modern linguistics. This was so for what seems to be a good metatheoretical reason: Cassirer insisted on the constitutive role of meaning in the explanation of linguistic phenomena, a position which was explicitly rejected by both American Structuralists and Chomskian Generativists. In the last decade, however, a new (...) and promising linguistic framework has emerged — the framework of lexical semantics — which seems to bear close theoretical resemblance to Cassirer's theory. In this paper, I show how the empirical results accumulated within the framework of lexical semantics serve to validate Cassirer's most fundamental philosophical insights, and suggest that Cassirer's philosophy helps position these empirical results in their appropriate epistemological context. I discuss the following fundamental points, which, for me, constitute the backbone of both Cassirer's philosophy and the theory of lexical semantics: natural language grammars constitute structural reflections of a deeply-rooted, highly structured level of semantic organization; the representational level of linguistic meaning, which is prior to experience in the Kantian sense, comprises a partial set of semantic notions, which language selects as centers of perceptual attention; this partial set is potentially different from the sets selected by other symbolic forms, such as myth, science, and art; and linguistic variability is to be explained in universalistic terms, thus allowing for specific patterns of variability within universally-constrained limits. (shrink)

In [9] we introduced a new framework for asymptotic probabilities, in which a $\sigma-additive$ measure is defined on the sample space of all sequences $A = $ of finite models, where the universe of An is {1, 2, .., n}. In this framework we investigated the strong 0-1 law for sentences, which states that each sentence either holds in An eventually almost surely or fails in An eventually almost surely. In this paper we define the strong convergence law for (...) formulas, which carries over the ideas of the strong 0-1 law to formulas with free variables, and roughly states that for each formula φ(x), the fraction of tuples a in An, which satisfy the formula φ(x), almost surely has a limit as n tends to infinity. We show that the infinitary logic with finitely many variables has the strong convergence law for formulas for the uniform measure, and further characterize the measures on random graphs for which the strong convergence law holds. (shrink)

‘Tool of Empowerment’: The Rhetorical Vision of Title Nine This study of the mail order catalog Title Nine, a California-based women's athletic clothing company, employs symbolic convergence theory and fantasy theme analysis through the context of third wave feminism. The catalog, named after the federal law in the United States that was intended to equalize opportunities between men's and women's participation in sports, creates a distinct social reality in an effort to empower readers. Similar studies have analyzed (...) stereotypical representations of women in magazines and advertising. However, this study offers insight into a newly emerging phenomenon in a niche market, the mail-order catalog, and in the artifact under study, it offers a medium where creators intend to do more than sell women's clothing. Within fantasy theme analysis is the fantasy type, a moral or social more that repeats itself through various actors or settings within the artifact. Four fantasy types put forth by Title Nine have been identified by the researcher, including a.) "I am superwoman," b.) "I am a mom," c.) "I am an advocate for women," and d.) "I can be anything.". (shrink)

This book develops a theory of aesthetics that criticizes scientific and philosophical reductionism that denies the importance of culture in art and taste, but its theory accepts some fundamental aspects of Neo-Darwinist theory of culture by addressing points of convergence among the notions of meme, simulacrum, and symbol.

One construal of convergent realism is that for each clear question, scientific inquiry eventually answers it. In this paper we adapt the techniques of formal learning theory to determine in a precise manner the circumstances under which this ideal is achievable. In particular, we define two criteria of convergence to the truth on the basis of evidence. The first, which we call EA convergence, demands that the theorist converge to the complete truth "all at once". The second, (...) which we call AE convergence, demands only that for every sentence in the theorist's language, there is a time at which the theorist settles the status of the sentence. The relative difficulties of these criteria are compared for effective and ineffective agents. We then examine in detail how the enrichment of an agent's hypothesis language makes the task of converging to the truth more difficult. In particular, we parametrize first-order languages by predicate and function symbol arity, presence or absence of identity, and quantifier prefix complexity. For nearly each choice of values of these parameters, we determine the senses in which effective and ineffective agents can converge to the complete truth on an arbitrary structure for the language. Finally, we sketch directions in which our learning theoretic setting can be generalized or made more realistic. (shrink)

We give a model-theoretic account for several results regarding sequences of random variables appearing in Berkes and Rosenthal [12]. In order to do this,•We study and compare three notions of convergence of types in a stable theory: logic convergence, i.e., formula by formula, metric convergence (both already well studied) and convergence of canonical bases. In particular, we characterise א0-categorical stable theories in which the last two agree.•We characterise sequences that admit almost indiscernible sub-sequences.•We apply these (...) tools to the theory of atomless random variables (ARV). We characterise types and notions of convergence of types as conditional distributions and weak/strong convergence thereof, and obtain, among other things, the Main Theorem of Berkes and Rosenthal. (shrink)

Throughout their history, symbolic interactionism and critical perspective have been viewed as divergent theoretical perspectives with different philosophical underpinnings. A review of their historical and philosophical origins reveals both points of divergence and areas of convergence. Their underlying philosophies of science and views of human freedom are different as is their level of focus with symbolic interactionism having a micro perspective and critical perspective using a macro perspective. This micro/macro difference is reflected in the divergence of their (...) major concepts, goals and basic tenets. While their underlying philosophies are different, however, they are not necessarily contradictory and areas of convergence may include the concepts of reference groups and looking glass self within symbolic interactionism and ideological hegemony within critical perspective. By using a pragmatic approach and combining symbolic interactionism and critical perspectives, both micro and macro levels come into focus and strategies for change across individual and societal levels can be developed and applied. Application of both symbolic interactionism and critical perspective to nursing research and scholarship offers exciting new opportunities for theory development and research methodologies. In nursing education, these two perspectives can give students added insight into patients' and families' problems at the micro level while, at the same time, giving them a lens to see and tools to apply to problems at the macro level in health care. In nursing practice, a combined symbolic interactionism/critical perspective approach assists nurses to give high-quality care at the individual level while also working at the macro level to address the manufacturers of illness. New research questions emerge from this combination of perspectives with new possibilities for theory development, a transformation in nursing education, and the potential for new practice strategies that can address individual client and larger system problems through empowerment of clients and nurses. (shrink)

Narrative allegory is distinguished from mythology as reality from symbol; it is, in short, the proper intermedium between person and personification. Where it is too strongly individualized, it ceases to be allegory […]. In the community of scholars of intermedia research, the above quoted citation is commonly regarded as Coleridge’s coining of the term “intermedium” or “intermediality”. However, a short glance at the discursive strategy of his argument emphasizes that his notion of “intermedium” must be closely linked to the poetics (...) and aesthetics of 19th-century romanticism. For the romantic poet, the term of “intermedium” does not point to media relations or intermedia processes but to.. (shrink)

The results of an empirical study into the perceptions of “hands-on” experts concerning the welfare of (non-human) animals in traveling circuses in the Netherlands are presented. A qualitative approach, based on in-depth conversations with trainers/performers, former trainers/performers, veterinarians, and an owner of an animal shelter, conveyed several patterns in the contextual construction of perceptions and the use of dissonance reduction strategies. Perceptions were analyzed with the help of the Symbolic Convergence Theory and the model of the frame (...) of reference, consisting of knowledge, convictions, values, norms, and interests. The study shows that the debate regarding animals in circuses in the Netherlands is centered on the level of welfare that is required; the importance of animal welfare is not disputed. Arguments that were used differed according to the respondents’ specific backgrounds and can be placed on a gradient ranging from the conviction that the welfare of animals in circuses is sufficiently warranted and both human and animal enjoy the performance (right end), to the conviction that animal welfare in circuses is negative, combined with the idea that the goal of entertaining people does not outweigh that (left end). The study confirms that perceptions reflect people’s contexts, though the variety in scopes suggests that the (inter)relations between people and their context are complex in nature. Evidence of cognitive dissonance was abundant. Coping strategies were found to be used more by respondents towards the right end of the gradient, suggesting that those respondents experience more ambivalence. This encountered pattern of association between position on the gradient and frequency of dissonance reduction strategies calls for further research on the type of ambivalent feelings experienced. The authors argue that, to come to an agreement about the welfare of animals in circuses, including the way this welfare should be guaranteed, stakeholders from different contexts need to engage in a dialogue in which a distance is taken from right/wrong-schemes and that starts from acceptance of dilemmas and ambiguity. (shrink)

Evaluative studies of inductive inferences have been pursued extensively with mathematical rigor in many disciplines, such as statistics, econometrics, computer science, and formal epistemology. Attempts have been made in those disciplines to justify many different kinds of inductive inferences, to varying extents. But somehow those disciplines have said almost nothing to justify a most familiar kind of induction, an example of which is this: “We’ve seen this many ravens and they all are black, so all ravens are black.” This is (...) enumerative induction in itsfullstrength. For it does not settle with a weaker conclusion (such as “the ravens observed in the future will all be black”); nor does it proceed with any additional premise (such as the statistical IID assumption). The goal of this paper is to take some initial steps toward a justification for the full version of enumerative induction, against counterinduction, and against the skeptical policy. The idea is to explore various epistemic ideals, mathematically defined as different modes of convergence to the truth, and look for one that is weak enough to be achievable and strong enough to justify a norm that governs both the long run and the short run. So the proposal is learning-theoretic in essence, but a Bayesian version is developed as well. (shrink)

We refine results of Gannon [6, Theorem 4.7] and Simon [22, Lemma 2.8] on convergence of Morley sequences. We then introduce the notion of eventual $NIP$, as a property of a model, and prove a variant of [15, Corollary 2.2]. Finally, we give new characterizations of generically stable types (for countable theories) and reinforce the main result of Pillay [17] on the model-theoretic meaning of Grothendieck’s double limit theorem.

Racism as a Public Health Crisis Statements (RPHCs) acknowledge the reality that racism must be eradicated to ensure health justice: a fair and just opportunity for all individuals to be healthy. Scholars of critical race theory (CRT) have expressed doubt when it comes to the capacity of law-related institutions to catalyze or sustain anti-racist efforts. These strains of skepticism underscore the question of whether so many RPHCS were adopted precisely because, in many instances, they were merely symbolic acts. (...) This commentary argues that the trend in adopting RPHCs carries signs of interest convergence, and asserts that the alliance between government and the movement for health justice reflected in this phenomenon falls short of the substantive anti-racist action needed to realize health justice. The spate of RPHC adoption, in lieu of passing anti-racist policy or meaningfully empowering people of color, signifies that the movement for health justice must be strategic in determining whether to leverage, or be wary of, the power dynamics which shape political change. The health justice framework must expand its toolkit to include CRT. (shrink)

This article explores a variety of techniques for “cutting through the clutter” in an era of information glut: body language, neuromarketing, and data mining. It traces connections between these different strategies by arguing that they converge on an understanding of the social, political, and economic roles of information, which challenge the empowering promise of the digital information revolution. The attempt to short-circuit the discursive content of communication in order to get straight at the underlying sentiment is symptomatic of an impasse (...) that Slavoj Zizek describes in terms of the demise of symbolic efficiency. The promise of direct access to emotional truths modeled, for example by deception detection experts on the show Lie to Me compensates for what might be described as a vernacular postmodernism in which representations are understood to be not only subject to contrivance, but completely reducible to it. The result, this article argues, is a shift in the relationship of information to power, and thus in strategies for challenging or resisting it. (shrink)

We are far removed, in this section of the Encyclopedia on memory, from the mnemotechnic icons described by Francis Yates in The Art of Memory and much closer to Augustine's advice about how to remember and to psalmodize Scripture. Memory, for Hegel, is the learning by rote of names, or of words considered as names, and it can therefore not be separated from the notation, the inscription, or the writing down of these names. In order to remember, one is forced (...) to write down what one is likely to forget. The idea in other words, makes its sensory appearance, in Hegel, as the material inscription of names. Thought is entirely dependent on a mental faculty that is mechanical through and through, as remote as can be from the sounds and the images of the imagination or from the dark mine of recollection, which lies beyond the reach of words and of thought[…]No wonder, then, that Hegel's Aesthetics turns out to be a double and possibly duplicitous text. Dedicated to the preservation and the monumentalization of classical art, it also contains all the elements which make such a preservation impossible from the start. Theoretical reasons prevent the convergence of the apparently historical and the properly theoretical components of the work. This results in the enigmatic statements that have troubled Hegel's readers, such as the assertion that art is for us a thing of the past. This has usually been interpreted and criticized or, in some rare instances, praised as a historical diagnosis disproven or borne out by actual history. We can now assert that the two statements "art is for us a thing of the past" and "the beautiful is the sensory manifestation of the idea" are in fact one and the same. To the extent that the paradigm for art is thought rather than perception, the sign rather than the symbol, writing rather than painting or music, it will also be memorization rather than recollection. As such, it belongs indeed to a past which, in Proust's words, could never be recaptured, retrouve. Art is "of the past" in a radical sense, in that, like memorization, it leaves the interiorization of experience forever behind. It is of the past to the extent that it materially inscribes, and thus forever forgets, its ideal content. The reconciliation of the two main theses of the Aesthetics occurs at the expense of the aesthetic as a stable philosophical category. What the Aesthetics calls the beautiful terms turns out to be, also, something very remote from what we associate with the suggestiveness of symbolic form.Paul de Man, Sterling Professor of the Humanities at Yale University, is the author of Blindness and Insight and Allegories of Reading and is currently completing a book tentatively titled The Resistance to Theory. His previous contributions to Critical Inquiry are "Political Allegory in Rousseau", "The Epistemology of Metaphor", and "A Letter". (shrink)

In the digital age, many corporations communicate with their publics via online channels. Among many channels, a corporation’s official Web site is often used for informing publics of its performance and other corporate-related information and for shaping a positive corporate image. This study quantitatively analyzed corporate Web sites, particularly the “About us” Web pages of Fortune 500 corporations based on symbolic convergence theory, which describes the formation of symbolic reality and the shared meaning of that (...) class='Hi'>symbolic reality among the public. A content analysis revealed that economic corporate management was the dominant rhetorical vision, and the fantasy, in the context of SCT, of being a superior company was emphasized by the 500 examined corporations. Such symbolic reality was constructed using corresponding structural tools of Web content, such as dramatis personae, plot line, and scene. In addition, the rhetorical vision and fantasy themes created by the Web sites turned out to be contingent on business classifications. Companies that pursued other types of fantasy themes and rhetorical visions were also identified. Some suggestions for corporate communicators are provided based on the results of this analysis. (shrink)

In this paper we develop a method for finding, under general conditions, explicit and highly uniform rates of convergence for the Picard iteration sequences for selfmaps on bounded metric spaces from ineffective proofs of convergence to a unique fixed point. We are able to extract full rates of convergence by extending the use of a logical metatheorem recently proved by Kohlenbach. In recent case studies we were able to find such explicit rates of convergence in two (...) concrete cases. Our novel method now provides an explanation in logical terms for these findings. This amounts, loosely speaking, to general conditions under which we in this specific setting can transform a ∀∃∀-sentence into a ∀∃-sentence via an argument involving product spaces. This reduction in logical complexity allows us to use the existing machinery to extract quantitative bounds of the sort we need. (shrink)

Recently, a connection has been established between two branches of computability theory, namely between algorithmic randomness and algorithmic learning theory. Learning-theoretical characterizations of several notions of randomness were discovered. We study such characterizations based on the asymptotic density of positive answers. In particular, this note provides a new learning-theoretic definition of weak 2-randomness, solving the problem posed by (Zaffora Blando, Rev. Symb. Log. 2019). The note also highlights the close connection between these characterizations and the problem of (...) class='Hi'>convergence on random sequences. (shrink)

In the second half of the twentieth century, a surprising change in the notion of scientific truth gained ground when an evolutionary cosmology made the Newtonian world machine into no more than a passing phase of the cosmos, subject to exceptions in the neighborhood of Black Holes and other unusual objects. Physical and chemical laws ceased to be eternal and universal and became local and changeable, that is, fundamentally historical instead, and faced an uncertain, changeable future just as they had (...) in the initial phases of the cosmos.The earth sciences along with biology had become historical in the nineteenth century; and the Big Bang cosmology in effect brought physics and chemistry into line, allowing venturesome intellects to concoct a new all-embracing worldview that recognizes the catalytic role of the observer in defining what is observed, and how different levels of local complexity provoke new and surprising phenomena--including terrestrial life forms, and most notably for us, humanly-constructed symbolic meanings--of which science is only one example.The article then argues that it is time for historians to take note of the imperial role thus thrust upon their discipline by making a sustained effort to enlarge their views and explore the career of humankind on earth as a whole, thus making human history an integral part of the emerging scientific and evolutionary worldview.Tentative suggestions of how this might be addressed, focusing on changes in patterns of communication that expanded the scale of human cooperation, and thus conduced to survival, follow. Dance, then speech, were early breakthroughs expanding the practicable size of wandering human bands; then caravans and shipping allowed civilizations to arise; writing expanded the scale of coordination; warfare and trade harshly imposed best practice across wide areas of Eurasia and Africa and kept the skills of that part of the world ahead of what the peoples of other continents and islands had at their command. Then with the crossing of the oceans after 1492 our One World began to emerge and swiftly assumed its contemporary shape with further improvements in the range and capacity of communication--for example, printing, mechanically-powered transport, instantaneous data transmission--with consequences for human society and earth's ecosystem yet to be experienced.Much remains to be investigated and, in particular, interactions between the history of human symbolic meanings and the history of other equilibria--ecological, chemical, physical--within which we exist needs further study. But with suitable effort, history can perhaps become scientific and the emerging scientific evolutionary worldview begin to achieve logical completeness by bringing humankind within its scope. (shrink)

The wide and complex range of technologies produced and used in the contemporary societies has challenged the analysis from the different fields of social sciences. In this sense, in order to elaborate a study that aim at understanding the relationship between technological progress and the ongoing institutional changes that mark the capitalist societies, we believe it is necessary to adopt an interdisciplinary approach combining methodologies from Economics and Sociology fields. Therefore, this study proposes the development of an interdisciplinary dialogue between (...) the economic sociology of Pierre Bourdieu and the evolutionary economics developed by authors such as Giovanni Dosi, Sidney Winter, Richard Nelson and Bhaven Sampat. In doing so, we intend to demonstrate that a theory guided by Marx’s historical materialism, as it is the case of evolutionary economics, can be enriched by a materialist theory of symbolic, such as that of Pierre Bourdieu. In searching the comprehension of the complementarity between material and symbolic forces, this study addresses the conflictual process surrounding the formulation of the regulatory institutions to the biotechnology sector in Brazil over the last two decades. More precisely, through a case study, we seek to demonstrate that the convergence of discourses and interests between prestigious scientific organizations and the multinational companies that control the agrobiotechnology industry has been relevant to allow this new technological paradigm to make progress. Finally, we raise some questions concerning this alliance between business and science and the conflicts that revolve around the rapid expansion of the genetically modified crops worldwide. (shrink)

This article focuses on the concept of worldviews, arguing that a change in managerial worldviews is the key lever for addressing the social and global challenges facing humanity. We draw from a new synthesis of science and spirituality, with the addition of “other ways of knowing” that go beyond rational-empirical analysis, to suggest that what we call Quantum Worldviews are capable of generating the prosocial and pro-environmental behavior consistent with humanistic management. Using the yin-yang symbol as a metaphor, we suggest (...) that a transformation in consciousness, at the level of the paradigmatic assumptions held by managers about the nature of reality, can be understood through adult development theory. We also go beyond the metaphor to propose a quantum worldview based on a more literal interpretation of quantum science to fundamentally re-conceptualize what it means to be human, drawing on quantum research that suggests ontological wholeness and interdependence of all. Quantum Worldviews can help leaders, and the various systems of which they are a part, transition to a new science-based consciousness - long intuited by indigenous and nonwestern spiritual leaders - of an interconnected and dynamically coherent world. We identify a variety of practices that give managers a direct experience of Oneness, changing who they are at the deepest level of self-concept. Our research suggests that only when using such practices, and in sufficient numbers, will business leaders become agents of world benefit with the collective influence to bring about meaningful solutions to climate change and other wicked problems—in other words, needed system transformation. (shrink)

We define a class of formal systems inspired by Prawitz’s theory of grounds. The latter is a semantics that aims at accounting for epistemic grounding, namely, at explaining why and how deductively valid inferences have the power to epistemically compel to accept the conclusion. Validity is defined in terms of typed objects, called grounds, that reify evidence for given judgments. An inference is valid when a function exists from grounds for the premises to grounds for the conclusion. Grounds are (...) described by formal terms, either directly when the terms are in canonical form, or indirectly when they are in non-canonical form. Non-canonical terms must reduce to canonical form, and two terms may be said to be equal when they converge towards equivalent grounds. In our systems these properties can be proved through rules distinguished according to whether they concern types or logic. Type rules involve type introduction and elimination, equality for application of operational symbols, and re-writing equations for non-canonical terms. The logic amounts to a sort of intuitionistic system in a Gentzen format. To conclude, we show that each system of our class enjoys a normalization property. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy of Music Education Review 13.1 (2005) 104-108 [Access article in PDF] A Response to Estelle R. Jorgensen, "Four Philosophical Models of the Relationship Between Theory and Practice" Randall Everett Allsup Teachers College, Columbia University Each of the four philosophical models that Estelle Jorgensen has put forth contests, adheres to, or adjusts the hierarchical relationships between dualities, specifically the theory and practice of musical learning. The dichotomy (...) model faces binary associations head on, splitting existence however defined into dualisms like "this/that," "us/them," and "mind/body." Models of polarity, according to Jorgensen, accommodate dualities by buffering edges, emphasizing the interconnectedness of binary relationships. The fusion metaphor is exemplified by Paulo Freire's notion of praxis in which action and reflection are welded together to create hope for a new world, one free of the oppression and conflict that is inherent in binary relationships. The dialectical model is contrapuntal by nature, Edward Said would say.1This relationship highlights our postmodern devotion to différence by embracing the tension created through inclusion so that "this is with that," "we are with them and they are with us," and "mind is with body, just as body is with mind."2Perhaps there is a fifth model, a new kind of relationship where the oppositional or hierarchical nature of binaries co-exists peacefully without tension. [End Page 104] Such an arrangement is, I think, an outgrowth of capitalist democracy—it is, most especially, representative of our global, information age. This type of relationship is problematic philosophically, we will see, lacking as Jorgensen has outlined "logic evidenced in principles," "internal consistency," and "coherence within a unity or whole." Likewise for Bennett Reimer, this new mind-set fails the test of philosophical scrutiny, unconcerned as it is with a "reasoned, structured set of propositions."3 Whether philosophy or mind-set, this new arrangement has as much to do with freedom and free markets as it does with the particular conditions of both modernity and postmodernity.In the novel, White Noise, by Don DeLillo, the postmodern condition is represented in part by an "Airborne Toxic Event," a cloud of gas, Nyodene D, which floats above a tranquil All-American college town.4 A sense of crisis is felt, but felt obliquely and no one knows exactly what harm has been done. In Albert Camus' The Plague, by contrast, the disease that infests the North African town of Oran acts to awaken its citizenry, confronting the populace with the moral imperatives to fight or flee.5 Perhaps the metaphor of quarantine symbolizes the hard boundaries of modernism.Capitalism seeks to dissolve conflict. It operates silently, in the realm of social production, like a cloud of gas. Denise, Jack Gladney's daughter in White Noise, mumbles over and over in her sleep, "Toyota Corolla, Toyota Celica, Toyota Cressida...."6 There is a sense of ontological change, that the expanding reach of media, information, and technology rewires the way we think, the way we dream. Tensions are willed away. The expansion and survival of market shares, after all, depend on the peaceful erosion of boundaries—boundaries that demarcate what we learn, what we buy, and who we are.Questions about what this new system means—this new mind-set—are explored in a book called Empire by Michael Hardt and Antonio Negri.7 These writers posit a global world of communication, cooperation, and affect, where an increase in hybrids creates a kind of "omniversality" where the virtual, natural, and ideological converge.8 In the dialectical relationship that Jorgensen shares with writers like Paulo Freire and Maxine Greene, there is no acceptable synthesis, no peaceful co-existence, between oppressors and oppressed. While according to Freire, the oppressed may internalize or house characteristics of the oppressor. In the global world of capital, the oppositional nature of the Other is replaced by niches or fragments, dissolving differences into marketing opportunities, really. That the avant-garde no longer exists is proof of this new state.As the essentialist nature of the Other fades away... (shrink)

There are three steps in my description of the ground-problem of value: First, Husserl’s analysis of the crisis of reason is based on the systematic loss and phenomenological recovery of the intuitive evidence of the lifeworld. But if letter symbols are essential to formalizing abstraction, as Klein’s de-sedimentation of Vieta’s institution of modern algebra shows, then the ultimate substrates upon which formalization rests cannot be “individuals” in Husserl’s sense. The consequence of the essentiality of the letter symbols to formalization is (...) that no direct reference to intuitive evidence of individuals is possible from formal structures. Second, the crisis of reason in Marx’s Capital on commodities contains a parallel analysis of the contradictory relation between formalism and evidence. The value-structure of capitalist society expels qualitative value to subjective use and imposes a homogeneous standard on social representation of value such that quantitative values are not grounded in the experience of use which entails that the system of general value becomes a mere aggregate. Third, the problem of value, or formal axiology, is the core of a teleological convergence between phenomenology and Marxism. A short phenomenological description of the experience of value shows that practical activities generate valuations that are experienced with an intensity through which they aim toward social representation. The conclusion is that the social representation of value in capitalist society intervenes into the constitution of the community by the intensity of individuals’ value-experience to reduce its system of value to an unthematized simple aggregate of value-quantities. (shrink)

This edited volume covers new ground by bringing together perspectives from symbolic legislation theory on the one hand, and from biolaw and bioethics on the other hand. Symbolic legislation has a bad name. It usually refers to instances of legislation which are ineffective and that serve other political and social goals than the goals officially stated. Recently, a more positive notion of symbolic legislation has emerged in legislative theory. From this perspective, symbolic legislation is (...) regarded as a positive alternative to the more traditional, top-down legislative approach. The legislature no longer merely issues commands backed up with severe sanctions, as in instrumental legislation. Instead, lawmakers provide open and aspirational norms that are meant to change behavior not by means of threat, but indirectly, through debate and social interaction. Since the 1990s, biomedical developments have revived discussions on symbolic legislation. One of the reasons is that biomedical legislation touches on deep-rooted, symbolic-cultural representations of the biological aspects of human life. Moreover, as it is often impossible to reach consensus on these controversial questions, legislators have sought alternative ways to develop legal frameworks. Consequently, communicative and interactive approaches to legislation are prominent within the governance of medical biotechnology. The symbolic dimensions of biolaw are often overlooked. Yet, it is clear that the symbolic is at the heart of many legal-political debates on bioethical questions. Since the rise of biomedical technologies, human body materials have acquired a scientific, medical and even commercial value. These new approaches, which radically question existing legal symbolizations of the human body, raise the question whether and how the law should continue to reflect symbolic values and meanings. Moreover, how can we decide what these symbolic values are, given the fact that we live in a pluralistic society? (shrink)

Anthropologists have always been concerned with the difference between traditional and scientific modes of thought and with the relationships between magic, religion and science. John Skorupski distinguishes two broadly opposed approaches to these problems: the 'intellectualist' regards primitive systems of thought and actions as cosmologies, comparable to scientific theory, which emerge and persist as attempts to control the natural world; the 'symbolist' regards them as essentially representative or expressive of the pattern of social relations in the culture in which (...) they exist. Dr Skorupski considers in particular the notions of ritual, ceremony and symbol. He shows how their understanding involves and suggests more general philosophical problems of relativism, interpretation, translation, and the connections between belief and action. These are difficult and important problems and require an unusual combination of imagination and interdisciplinary exercise. This book is intended especially for philosophers, social anthropologists, social theorists and students of comparative religion. (shrink)

ABSTRACT There is a growing trend in moral philosophy that reflects a return to a more ancient perspective of the subject matter wherein moral theory and moral practice are thought to converge. Like their Greek and Hellenistic predecessors, contemporary moral philosophers are again analysing virtues and character traits, drawing normative conclusions at the end of arguments, and testing their theories against examples from common life. Unfortunately, this literature is still cluttered with abstract, general, unlikely, and cleverly‐constructed examples that are (...) more apt to draw both reader and author away from the various moral issues under consideration. This paper argues that the selection of examples drawn from literature, history and common‐life experiences offers the following advantages: (1) such examples better serve the purpose of illustration; (2) they function as projects for moral inquiry; (3) they better connect both reader and author to the moral issues being discussed; (4) they help prevent the dichotomisation of moral philosophy into meta‐ethics and applied ethics; and (5) they help make it possible again for moral philosophy to have the relevance and importance it once enjoyed in previous periods of history. Selection criteria are outlined, and examples are provided that satisfy them. (shrink)

Conspiracy theories (CTs) are widespread ways by which people make sense of unsettling or disturbing cultural events. Belief in CTs is often connected to problematic consequences, such as decreased engagement with conventional political action or even political extremism, so understanding the psychological and social qualities of CTs belief is important. CTs have often been understood to be “monological”, displaying the tendency for belief in one conspiracy theory to be correlated with belief in (many) others. Explanations of monologicality invoke a (...) nomothetical or “closed” mindset whereby mutually supporting beliefs based on mistrust of official explanations are used to interpret public events as conspiracies, independent of the facts about those events (which they may ignore or deny). But research on monologicality offers little discussion of the content of monological beliefs and reasoning from the standpoint of the CT believers. This is due in part to the “access problem” (Wood & Douglas, 2015): CT believers are averse to being researched because they often distrust researchers and what they appear to represent. We used several strategies to address the access problem, and investigated the symbolic resources underlying CTs by reconstructing a conspiracy worldview - a set of beliefs held by CT believers about important dimensions of ontology, epistemology, and human agency. To do this, we analysed media documents, conducted field observation, and engaged in semi-structured interviews,. We describe six main dimensions of a conspiracy worldview: Views of the nature of reality, the self, the outgroup, the ingroup, action, and the future. We also describe a typology of five types of CT believers, which vary according to their positions on each of these dimensions. Our findings converge with prior explorations of CT beliefs but also revealed novel aspects: A sense of community among CT believers, a highly differentiated representation of the outgroup, a personal journey of conversion, variegated kinds of political action, and optimistic belief in future change. These findings are at odds with the typical image of monological CT believers as paranoid, cynical, anomic and irrational. For many, the CT worldview may rather constitute the ideological underpinning of a nascent pre-figurative social movement. (shrink)

In this article, we argue that scientists and technologists associated with the nuclear industry are building support for small modular reactors by advancing five rhetorical visions imbued with elements of fantasy that cater to various social expectations. The five visions are as follows: a vision of risk-free energy would eliminate catastrophic accidents and meltdowns. A vision of indigenous self-energization would see SMRs empowering remote communities and developing economies. A vision of water security would see SMR-powered desalination plants satisfying the world’s (...) water needs. A vision of environmental nirvana would see SMRs providing waste-free and carbon-free electricity to preserve the earth’s biosphere. A vision of space exploration would see SMRs assisting in the colonization of the moon, Mars, and possibly other worlds. These visions help create a symbolic convergence among promoters, serving to attract political and financial support, and erasing previous nuclear failures from public discourse. Moreover, underlying these visions is a technological utopian ideal world where SMRs would generate plentiful energy of multiple kinds, offering the necessary means for a life of comfort for all people by meeting various needs and without any environmental externalities or cause for concern about accidents. (shrink)

This work was awarded the John Templeton Award for Theological Promise 2009.

A teoria convergente da verdade de Peirce é uma abordagem intuitiva e razoável da verdade. No seu sentido mais geral, vincula a verdade aos resultados da investigação. De acordo com a máxima pragmática, Peirce percebeu que as consequências práticas de afirmações verdadeiras são de trazer investigações à fruição e resolver opinião. No entanto, a teoria da verdade de Peirce é muitas vezes difamada e mal-entendida. Argumenta-se, aqui, que uma vez que se entende que a teoria convergente é uma inferência e (...) generalização oriunda do notável teorema matemático conhecido como a Lei dos Grandes Números, e como esse teorema fornece certeza matemática à indução como o cerne do método científico, muitos dos problemas desaparecem. Parte do mal-entendido também se deve ao fato que Peirce tinha três sentidos distintos de convergência, os quais muitos comentadores confundem ou interpretam erroneamente. Com esse entendimento, será mostrado que ao contrário das análises de Cheryl Misak e Christopher Hookway, Peirce argumenta que investigação persistente por bons métodos não é apenas um ideal regulador para atingir a verdade – uma esperança intelectual – mas uma possibilidade comprovada matematicamente que já resultou em verdades estabelecidas. (shrink)

This paper explores the possibility of a standard legal language (e.g. English) for a principled evolution of law in line with technological development. In doing so, reference is made to blockchain networks and smart contracts to emphasise the discontinuity with the liberal legal tradition when it comes to decentralisation and binary code language. Methodologically, the argument is built on the underlying relation between law, semiotics and new forms of media adding to natural language; namely: code and symbols. In what follows, (...) I will concentrate on the study of factors that explain why such approach can be fruitful for the future of law and innovation. I have three reasons for selecting this topic. The first is a more pragmatic reason, based on my current research of law as a linguistic phenomenon. Secondly, the topic does also touch the matter on binary code language, rivalrous to legal alphabetic language. Lastly, the study aims at emphasizing the pivotal role of the jurist as an interpreter in a changing society accommodating diverging realms of reality. The study is structured as follows. Firstly, a quick exam of the traits of blockchain networks would provide the contextual link to establish the arguments in support of the need of a standard legal language. Secondly, a comparison between liberal legal institutions and theory of semiotics is set to perceive their functioning and ascertain their limits in the light of todays unprecedented changes. Thirdly, a summary on blockchain networks’ legal features would constitute the thrust behind the idea of a uniform legal language. Methodologically, the argument does also establish some relations with classical laws of physics and philosophy of media. Its aim is to demonstrate how the suggested legal interpretation and semiotic-based approach can contribute to overcome existing stumbling blocks including, but not limited to, the lack of cooperation at the international level as well as the gap in State norms when it comes to innovation. In this sense, the proposed strategies do not intend to replace current advances in the legal thought. In contrast, it seeks to harmonise their results providing a methodical approach that can concur to inform a new technique to address new controversial issues. In practice, the proposed method regarding the adoption of a uniform legal language would lower transactive costs in terms of normative coordination in the matter of international cooperation and in the definition of applicable law among different legal systems. Alternatively, it might contribute to the convergence of legal systems and/or their underlying concepts. Differently put, article’s contribution can be envisaged in fostering juridical consistency with regards to different forms of languages’ coexistence. (shrink)

Let X be a separable Banach space and Q be a coanalytic subset of . We prove that the set of sequences in X which are weakly convergent to some eX and is a coanalytic subset of . The proof applies methods of effective descriptive set theory to Banach space theory. Using Silver’s Theorem [J. Silver, Every analytic set is Ramsey, J. Symbolic Logic 35 60–64], this result leads to the following dichotomy theorem: if X is a (...) Banach space, is a regular method of summability and is a bounded sequence in X, then there exists a subsequence iL such that either there exists eX such that every subsequence iH of iL is weakly summable w.r.t. to e and QiH,e); or for every subsequence iH of iL and every eX with QiH,e)the sequence iH is not weakly summable to e w.r.t. . This is a version for weak convergence of an Erdös–Magidor result, see [P. Erdös, M. Magidor, A note on Regular Methods of Summability, Proc. Amer. Math. Soc. 59 232–234]. Both theorems obtain some considerable generalizations. (shrink)

This paper proposes how various disciplinary theories of cognition may be combined into a unifying, sub-symbolic, computational theory of cognition. The following theories are considered for integration: psychological theories, including the theory of event coding, event segmentation theory, the theory of anticipatory behavioral control, and concept development; artificial intelligence and machine learning theories, including reinforcement learning and generative artificial neural networks; and theories from theoretical and computational neuroscience, including predictive coding and free energy-based inference. In (...) the light of such a potential unification, it is discussed how abstract cognitive, conceptualized knowledge and understanding may be learned from actively gathered sensorimotor experiences. The unification rests on the free energy-based inference principle, which essentially implies that the brain builds a predictive, generative model of its environment. Neural activity-oriented inference causes the continuous adaptation of the currently active predictive encodings. Neural structure-oriented inference causes the longer term adaptation of the developing generative model as a whole. Finally, active inference strives for maintaining internal homeostasis, causing goal-directed motor behavior. To learn abstract, hierarchical encodings, however, it is proposed that free energy-based inference needs to be enhanced with structural priors, which bias cognitive development towards the formation of particular, behaviorally suitable encoding structures. As a result, it is hypothesized how abstract concepts can develop from, and thus how they are structured by and grounded in, sensorimotor experiences. Moreover, it is sketched-out how symbol-like thought can be generated by a temporarily active set of predictive encodings, which constitute a distributed neural attractor in the form of an interactive free-energy minimum. The activated, interactive network attractor essentially characterizes the semantics of a concept or a concept composition, such as an actual or imagined situation in our environment. Temporal successions of attractors then encode unfolding semantics, which may be generated by a behavioral or mental interaction with an actual or imagined situation in our environment. Implications, further predictions, possible verification and falsifications, as well as potential enhancements into a fully spelled-out unified theory of cognition are discussed at the end of the paper. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Rembrandt and Collections of His Art in America: An NEH Curriculum ProjectJoseph M. Piro (bio)IntroductionI have asked myself whether the short time given us would be better used in an attempt to understand the whole of the universe or to assimilate what is within our reach.—Paul CézanneThis issue of the Journal of Aesthetic Education features an arts education curriculum project that was designed to use the oeuvre of Rembrandt (...) van Rijn—seventeenth-century Dutch painter, etcher, and draftsman extraordinaire—as a teaching resource. A partnership of scholars, university professors, museum educators, and classroom teachers designed the project, which uses Rembrandt as the prism through which to diversify teaching of the core content areas of social studies and visual art. Members of this team attempted to expand the boundaries of themes traditionally found in art and other humanities disciplines by linking these with the social sciences, thereby forming what might be called “humanistic social studies.” The final product is a Web site to which teachers and those interested in using this type of instructional approach in their classroom teaching will have access. Funding for this project derived from a National Endowment for the Humanities (NEH) Curriculum Materials Development grant designed to promote the teaching of the humanities and support projects that can serve as national models.1In the eyes of many, Rembrandt is viewed primarily as a “European” artist. Although it is true that many of his major works are found in museums across Europe, he is generously represented in the holdings of collections across America. Yet for many teachers in the United States he remains an enigmatic figure; knowledge about his art is limited, and the U.S. museum collections of his work remain untapped for classroom application. To broaden the appeal and teaching potential of his work, the project team [End Page 1] mined this collection of “American” Rembrandts. Specifically, the project, targeted at secondary art and social studies teachers (grades 6 through 12), is committed to building and increasing the capacities of teachers to network knowledge of Rembrandt’s art with their classroom practice. Further, with its grounding in aesthetic education theory within a humanities framework, the project endeavors to promote instructional innovation and encourage teachers to break new ground in high-impact classroom pedagogy. The timing of the project and its ongoing development was not accidental. They converged with events held in 2006 to commemorate the four hundredth anniversary of Rembrandt’s birth. These events ranged from worldwide museum exhibitions to publications of books containing new insights on Rembrandt, all of this aimed at celebrating an artist whose achievements many consider to be a zenith of world culture.Why Rembrandt: The Rationale for the ProjectWhy is Rembrandt the artist at the center of this project? There are any number of good reasons, but the project’s rationale centers around three in particular. First, to borrow a term from Peter Kivy, Rembrandt is the ultimate “aesthetic symbol,”2 an indisputably blue-chip figure who produced some of the greatest masterworks of world art, many of which students find both intellectually engaging and psychologically insightful. Traditionally, teachers have striven to enrich the aesthetic lives of their students with exemplars of the human mind, and the genius of Rembrandt provides a potent opportunity to do so.3 By studying an artist of such stature teachers can develop students’ cultural intelligence and visual literacy and present opportunities to observe and decode substantive, challenging masterworks of art. In this context, Rudolf Arnheim describes a painting by Rembrandt as containing a network of “visual arrows” that communicate multiple experiences about the human condition, including love, tenderness, and desire, among others. Arnheim speaks of the additive nature of the experience, how the viewer—almost like a mathematician—needs to learn how to add up the clues and arrive at a solution. He does not intend, of course, for the viewer to have an impersonal, “clinical” experience. Rather, he writes, “art... is one of the most powerful instruments available to us for the fulfillment of life. To withhold this benefit from human beings is to deprive them indeed.”4Second, there is a cognitive complexity embedded in... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Feminist Studies 42, no. 3. © 2016 by Feminist Studies, Inc. 575 Geneviève Pagé Gender at the Crossing: Ideological Travelings of US and French Thought in Montreal Feminism This article recounts a story about Montreal feminism using the narrative thread of its conceptual language. It is a story of language as a political choice that guides our actions, but also language as a political issue, a barrier, a tool (...) that structures our thinking and that reflects and reproduces relations of power in knowledge production and dissemination. Gender is the central character in this story—its role representing the way US, French, and Quebec theoretical traditions are deeply in dialogue with each other; yet this dialogue is arbitrary and filled with long silences. In reviewing the dialogue, this article identifies a few elements that play a significant role in favoring or impeding the traveling of ideas and concepts, focusing, in the case of Quebec, on how part of the feminist movement, comprised of radical or “revolutionary” feminists, engages with and constructs theory. The article begins by briefly tracing the evolving meanings of gender in the United States from the 1920s to the twenty-first century. Then, turning to France, a second section identifies elements limiting the traveling of US understandings of gender in French feminist theory, especially the predominance of specific traditions of thought, namely existentialism and Marxism, leading to different ways of thinking about oppression, patriarchy, sexism, and the idea of womanhood. In a third section, I shift the focus to Quebec, particularly Francophone Montreal, to survey its feminist thought, political traditions, and 576 Geneviève Pagé translation. Its history, its people, and its geographic location put it at the convergence of US and French influences, but with a distinct added local imperative: the struggle for national liberation. The specific ways in which Quebec nationalism has foregrounded power and politics around language has had a major impact on how Quebec feminists have negotiated relations with their southern feminist neighbors. In this sense, Quebec feminism presents an excellent case study of language operating as an axis of power. Furthermore, in the context of globalization and resistances to globalizing processes, Montreal provides a perfect example by which to highlight both transnational influences and local specificities. Montreal, as a classic example of Mary Louise Pratt’s cultural and linguistic “contact zone”—the space where communities of practices interact—is a city in which one can clearly identify “the intellectual and linguistic points of contact between cultures, and make visible the political pressure that activates them.”1 I treat translations that occur in this context as the process of connecting and communicating between communities. As queer theorist Juana María Rodríguez has noted in another context, “the process of translation involves more than merely translating languages; it involves translating cultures, values, and institutions of power.”2 Similarly, translation here involves an exchange between symbolic and semiotic structures of both the original and the new communities. Zooming out of Montreal, I then address the politics of translation on a more global scale, pointing out the particular ways the production and dissemination of knowledge is especially beholden to market relations. All these reflections help us understand the traveling of ideas, concepts, and ideologies across linguistic barriers. I conclude that it is in the interest of feminists to pay particular attention to what knowledge is produced from different standpoints and in different languages and what it can teach us. 1. Mary Louise Pratt, “Arts of the Contact Zone,” Profession (1991): 34; Sherry Simon, Gender in Translation: Cultural Identity and the Politics of Transmission (New York: Routledge, 1996), 36. 2. Juana María Rodríguez, Queer Latinidad: Identity Practices, Discursive Spaces (New York: NYU Press, 2003), 19. Geneviève Pagé  577 Gender in the United States It is among US feminists that the conceptualization of the gender/sex dichotomy first developed. However, gender—the word—ironically comes to English from the French genre and shares with that word its derivation from the Latin genus, meaning “kind,” “sort,” or “type.” The derivation is most visible in the borrowing in English of the French genre, for example, in literary forms such as fiction or poetry. Similarly, both the English... (shrink)

The first half of the twentieth century was marked by the simultaneous development of logic and mathematics. Logic offered the necessary means to justify the foundations of mathematics and to solve the crisis that arose in mathematics in the early twentieth century. In European science in the late nineteenth century, the ideas of symbolic logic, based on the works of J. Bull, S. Jevons and continued by C. Pierce in the United States and E. Schroeder in Germany were getting (...) popular. The works by G. Frege and B. Russell should be considered more progressive towards the development of mathematical logic. The perspective of mathematical logic in solving the crisis of mathematics in Ukraine was noticed by Professor of Mathematics of Novorossiysk University Ivan Vladislavovich Sleshynsky. Sleshynsky is a Doctor of Mathematical Sciences, Professor of Novorossiysk University. After studying at the University for two years he was a Fellow at the Department of Mathematics of Novorossiysk University, defended his master’s thesis and was sent to a scientific internship in Berlin, where he listened to the lectures by K. Weierstrass, L. Kronecker, E. Kummer, G. Bruns. Under the direction of K. Weierstrass he prepared a doctoral dissertation for defense. He returned to his native university in 1882, and at the same time he was a teacher of mathematics in the seminary, Odesa high schools, and taught mathematics at the Odesa Higher Women’s Courses. Having considerable achievements in the field of mathematics, in particular, Pringsheim’s Theorem proved by Sleshinsky on the conditions of convergence of continuous fractions, I. Sleshynsky drew attention to a new direction of logical science. The most significant work for the development of national mathematical logic is the translation by I. Sleshynsky from the French language “Algebra of Logic” by L. Couturat. Among the most famous students of I. Sleshynsky, who studied and worked at Novorossiysk University and influenced the development of mathematical logic, one should mention E. Bunitsky and S. Shatunovsky. The second period of scientific work of I. Sleshynsky is connected with Poland. In 1911 he was invited to teach mathematical disciplines at Jagiellonian University and focused on mathematical logic. I. Sleshynsky’s report “On Traditional Logic”, delivered at the meeting of the Philosophical Society in Krakow. He developed the common belief among mathematicians that logic was not necessary for mathematics. His own experience of teaching one of the most difficult topics in higher mathematics – differential calculus, pushed him to explore logic, since the requirement of perfect mathematical proof required this. In one of his further works of this period, he noted the promising development of mathematical logic and its importance for mathematics. He claimed that for the mathematics of future he needed a new logic, which he saw in the “Principles of Mathematics” by A. Whitehead and B. Russell. Works on mathematical logic by I. Sleszynski prompted many of his students in Poland to undertake in-depth studies in this field, including T. Kotarbiński, S. Jaśkowski, V. Boreyko, and S. Zaremba. Thanks to S. Zaremba, I. Sleshynsky managed to complete the long-planned concept, a two-volume work “Theory of Proof”, the basis of which were lectures of Professor. The crisis period in mathematics of the early twentieth century, marked by the search for greater clarity in the very foundations of mathematical reasoning, led to the transition from the study of mathematical objects to the study of structures. The most successful means of doing this were proposed by mathematical logic. Thanks to Professor I. Sleshynsky, who succeeded in making Novorossiysk University a center of popularization of mathematical logic in the beginning of the twentieth century the ideas of mathematical logic in scientific environment became more popular. However, historical events prevented the ideas of mathematical logic in the domestic scientific space from the further development. (shrink)

The relationship between the One and the Multiple in mystic philosophy is a profound and central theme that explores the nature of existence, the cosmos, and the divine. This theme is present in various mystical traditions, including those of the East and West, and it addresses the paradoxical coexistence of the unity and multiplicity of all things. -/- In mystic philosophy, the **One** often represents the ultimate reality, the source from which all things emanate and to which all things return. (...) It is the absolute, the infinite, and the unchanging. The One is beyond all attributes and is often associated with the divine or the absolute truth. -/- The **Multiple**, on the other hand, represents the manifest world, the diversity of forms, and the realm of change and plurality. It is the world we experience through our senses, the domain of time and space, where differentiation and individuality are apparent. -/- The relationship between the One and the Multiple is not one of opposition but of emanation and unity. The Multiple is seen as a reflection, expression, or manifestation of the One. In this sense, the diversity of the world doesn’t contradict the unity of the One but rather demonstrates it in a myriad of forms. -/- Mystics seek to understand and experience this relationship through various practices and insights. They aim to transcend the illusion of separation and duality to experience the non-dual reality where the One and the Multiple are recognized as inseparable. -/- This concept can be illustrated by the metaphor of the ocean and its waves. The ocean represents the One—vast, deep, and all-encompassing—while the waves represent the Multiple—distinct, diverse, and ever-changing. Each wave is unique, yet it is not separate from the ocean. The wave’s existence is dependent on and made of the same substance as the ocean. In the same way, each individual entity in the Multiple is an expression of the One. -/- In summary, the relationship between the One and the Multiple in mystic philosophy is a dynamic interplay that challenges the conventional understanding of separation. It invites a deeper exploration of reality, where the apparent multiplicity of the world is a direct expression of the singular, underlying essence of all that is. -/- The relationship between the One and the Multiple in the context of mathematical philosophy is a profound topic that touches upon the very foundations of existence and knowledge. It’s a theme that has been explored by philosophers and mathematicians alike, often leading to the contemplation of unity and diversity within the structures of reality. -/- In mathematics, the concept of the One can be seen as the basis of unity from which all numbers derive. It’s the identity element in multiplication, the starting point in counting, and the foundation of dimension in geometry. The One is often associated with the concept of monism in philosophy, which posits that there is a single, underlying substance or principle that constitutes reality. -/- On the other hand, the Multiple represents the infinite variety and diversity of forms and numbers that arise from the One. It’s the embodiment of plurality and the complex interplay of different entities that mathematics seeks to understand and describe. This reflects the philosophical stance of pluralism, which acknowledges the existence of multiple realities or truths. -/- The interplay between the One and the Multiple can be seen in the mathematical concept of sets. A set can be thought of as a unity, a whole composed of distinct elements. Yet, each element within the set also retains its individuality, contributing to the diversity of the set’s composition. This duality is mirrored in the philosophical exploration of the universal and the particular, where the universal represents the One, and the particulars represent the Multiple. -/- In the realm of mathematical philosophy, this relationship often leads to questions about the nature of mathematical objects: Are they discovered as part of an objective reality (the One), or are they constructed by the human mind from a multitude of experiences (the Multiple)? This debate resonates with the philosophical inquiry into the nature of truth and reality. -/- Reflecting on the One and the Multiple can also lead to a deeper understanding of the self and the cosmos. Just as the number one is integral to the existence of all other numbers, the individual self can be seen as a unique expression of the universal whole. Similarly, the cosmos can be viewed as a grand unity composed of a multiplicity of forms and phenomena. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers⁴. -/- The **first incompleteness theorem** reveals that within any such consistent system, there are propositions that are true but cannot be proven within the system itself. This reflects the idea of the Multiple in that there is an abundance of mathematical truths, a multiplicity that exceeds the unifying framework of any one system. It suggests that the realm of mathematical truth is more extensive than any single formal system can fully capture. -/- The **second incompleteness theorem** extends this by showing that a system cannot prove its own consistency. This relates to the concept of the One, as it implies that a system’s complete self-understanding, its unity and coherence, is unattainable from within. It must look beyond itself, to an external vantage point, to ascertain its consistency. -/- In the context of the One and the Multiple, Gödel’s theorems imply that the One (a consistent formal system) is inherently incomplete and cannot encompass the Multiple (the totality of mathematical truths). This resonates with philosophical discussions about the relationship between unity and plurality. Just as a single philosophical system cannot capture the entirety of truth, a single formal mathematical system cannot encapsulate all mathematical truths. -/- Moreover, Gödel’s work suggests that the pursuit of a single, unified theory of everything in mathematics—a One that encompasses all Multiples—is an inherently Sisyphean task. There will always be more truths (Multiples) than can be derived from any given set of axioms (the One). -/- In essence, Gödel’s incompleteness theorems provide a formal underpinning to the philosophical notion that the One cannot exist without the Multiple, and vice versa. They are interdependent, with the One giving rise to the Multiple, and the Multiple necessitating the One for its expression and comprehension. This interplay is a dance of limitations and possibilities, where the boundaries of logic, mathematics, and philosophy blur into one another. -/- The relationship between the One and the Multiple in the context of the mathematics of zero is a deeply philosophical inquiry that bridges the abstract world of numbers with the existential questions of being and non-being. -/- Zero, in mathematics, is a symbol of absence, a representation of nothingness, yet it holds a pivotal position as a number. It is the void from which all things emerge and to which they return. In the philosophy of mathematics, zero is the paradoxical junction where the One and the Multiple converge and diverge. -/- From the perspective of the One, zero can be seen as the origin—the singular point that precedes the existence of numbers. It is the empty set, the foundation upon which the edifice of mathematics is constructed. As the identity element in addition, zero maintains the integrity of numbers, for adding zero to any number leaves it unchanged, reflecting the immutable nature of the One. -/- Conversely, when we consider the Multiple, zero represents the infinite potentiality of creation. It is the canvas upon which the integers, both positive and negative, express their multitude. Zero is the balance point, the fulcrum around which the symphony of numbers dances. It embodies the plurality of possibilities, the beginning of the number line that stretches infinitely in both directions. -/- Philosophically, zero challenges our understanding of existence. It is both something and nothing—a number that quantifies the absence of quantity. This duality echoes the philosophical struggle to comprehend how the One gives rise to the Multiple. How does the unity of being manifest the diversity of the cosmos? Zero offers a mathematical metaphor for this mystery, as it encapsulates the transition from non-existence to existence, from the undifferentiated One to the differentiated Multiple. -/- In the realm of set theory, zero corresponds to the empty set—a set with no elements. This set is unique in that it is the only set that contains nothing, yet it is the foundation upon which all other sets are built. The empty set is the mathematical embodiment of the One, and all other sets, containing multiple elements, arise from it. -/- Reflecting on zero in the context of Gödel’s incompleteness theorems, we find a resonance with the idea that the One (a consistent formal system) cannot capture the entirety of the Multiple (the totality of mathematical truths). Zero, as the foundation of numbers, similarly suggests that from the nothingness of the One, the infinite complexity of the Multiple emerges—yet it can never be fully encompassed or expressed by any single system. -/- In conclusion, the mathematics of zero offers a profound reflection on the relationship between the One and the Multiple. It serves as a bridge between the abstract and the concrete, the known and the unknowable, challenging us to ponder the origins of existence and the nature of reality itself. -/- . (shrink)

From Experience to the “Event”The Stakes of the Thought of an “Originary Symbolism”This article proposes to understand the progressive conceptualization of experience as “originary symbolism.” After having examined the notions of form but also – and above all – those of categorical attitude and expression, we show that Merleau-Ponty turns toward a concept of experience that is from the start expressive. Here, the symbolic function, in Cassirer’s sense, is slowly replaced by a “symbolism” in which the diacritical, institution, and (...) the unconscious play a fundamental role. Making use of Merleau-Ponty’s unpublished notes, particularly those in the Sensible World and the World of Expression, allows us to observe the convergence of diacritical thought, institution, and the unconscious toward one unified conception of originary symbolism. Hence, we propose an approach that departs from the traditional categories of consciousness and of evidence, and founds a theory of experience as “event”.Dall’esperienza all’ «evento»La posta in gioco del «simbolismo originario»L’articolo si propone di comprendere la progressiva concettualizzazione merleaupontyana dell’esistenza come «simbolismo originario». Dopo aver esaminato le nozioni di forma, ma anche e soprattutto di atteggiamento categoriale e di espressione, mostreremo che Maurice Merleau-Ponty si indirizza a una concezione dell’esperienza che ne fa qualcosa di immediatamente espressivo; concezione in cui la funzione simbolica, nel senso di Cassirer, viene poco a poco sostituita da un «simbolismo» in cui il diacritico, l’istituzione e l’inconscio giocano un ruolo fondamentale. Il ricorso alle Note inedite di Merleau-Ponty, e in particolare a Le monde sensible et le monde de l’expression, consente appunto di osservare la convergenza dei tre concetti di diacritico, di istituzione e di inconscio, in direzione di una medesima concezione del simbolismo originario. Proponiamo quindi un approccio che si discosta dalle tradizionali categorie della coscienza e dell’evidenza, per fondare una teoria dell’esperienza come «evento». (shrink)

This essay presents a phenomenological analysis of the functioning of symbols as elements of the life-world with the purpose of demonstrating the interrelationship of individual and society. On the basis of Alfred Schutz''s theory of the life-world, signs and symbols are viewed as mechanisms by means of which the individual can overcome the transcendences posed by time, space, the world of the Other, and multiple realities which confront him or her. Accordingly, the individual''s life-world divides itself into the dimensions (...) of time, space, the social world and various reality spheres which form the boundaries or transcendences that the I has to understand and integrate. Signs and symbols are described as appresentational modes which stand for experiences originating in the different spheres of the life-world within the world of everyday life, within which they can be communicated, thereby establishing intersubjectivity. Schutz''s theory of the symbol explains how social entities – such as nations, states or religious groups – are symbolically integrated to become components of the individual''s life-world. The following paper reconstructs Schutz''s concept of the symbol as a crucial component of his theory of the life-world, which is seen as an outstanding phenomenological contribution to the theory of the sign and the symbol in general. (shrink)

Cantor’s first set theory paper (1874) establishes the uncountability of ${\mathbb R}$. We study this most basic mathematical fact formulated in the language of higher-order arithmetic. In particular, we investigate the logical and computational properties of ${\mathsf {NIN}}$ (resp. ${\mathsf {NBI}}$ ), i.e., the third-order statement there is no injection resp. bijection from $[0,1]$ to ${\mathbb N}$. Working in Kohlenbach’s higher-order Reverse Mathematics, we show that ${\mathsf {NIN}}$ and ${\mathsf {NBI}}$ are hard to prove in terms of (conventional) comprehension (...) axioms, while many basic theorems, like Arzelà’s convergence theorem for the Riemann integral (1885), are shown to imply ${\mathsf {NIN}}$ and/or ${\mathsf {NBI}}$. Working in Kleene’s higher-order computability theory based on S1–S9, we show that the following fourth-order process based on ${\mathsf {NIN}}$ is similarly hard to compute: for a given $[0,1]\rightarrow {\mathbb N}$ -function, find reals in the unit interval that map to the same natural number. (shrink)