This chapter talks about the symbols used in the diplomatic transcriptions that are described in the other chapters of the book. The symbols used are divided into three categories: corrections, deletion marks and underlinings. Some of the corrections that are made are insertion of a space between two words and text overwritten by hand on an erased typed text. The deletion marks like single deletion mark, double or multiple deletion mark are used. The underlines like dash, single, double, wavy and (...) double wavy underlines are used. (shrink)

Ever since the rhetorical turn in education, education scholars have recognized the importance of rhetoric in constructing and mediating human society. They have turned to rhetorical theory to come to terms with this rhetorically mediated reality and to engage students as critical citizens within it. Much of this work draws on rhetorical theorist Kenneth Burke, but much of Burke’s work remains unexplored in this area. We argue that his theories can be part of a user’s guide to educate students about (...) rhetoric’s function in society, to educate them about the opportunities and pitfalls that rhetoric brings. In this essay, we offer his dramatistic pentad as part of this larger user’s guide. The pentad identifies the logical elements of action and provides a model that explains the “grammar of motives”. It also provides a method for analyzing statements of motives, which rhetorical critics have long used to describe and explain strategic constructions of motives. Although the pentad is relatively easy to teach and to understand, its application to particular discourses can reveal complex relationships among the elements of action, laying bare their operation within the grammar of motives. We claim that the pentad offers lessons for students to engage with important societal issues, lessons about the limitations of any one construction of motives and how to overcome those limitations. (shrink)

Ever since the rhetorical turn in education, education scholars have recognized the importance of rhetoric in constructing and mediating human society. They have turned to rhetorical theory to come to terms with this rhetorically mediated reality and to engage students as critical citizens within it. Much of this work draws on rhetorical theorist Kenneth Burke, but much of Burke’s work remains unexplored in this area. We argue that his theories can be part of a user’s guide to educate students about (...) rhetoric’s function in society, to educate them about the opportunities and pitfalls that rhetoric brings. In this essay, we offer his dramatistic pentad as part of this larger user’s guide. The pentad identifies the logical elements of action and provides a model that explains the “grammar of motives”. It also provides a method for analyzing statements of motives, which rhetorical critics have long used to describe and explain strategic constructions of motives. Although the pentad is relatively easy to teach and to understand, its application to particular discourses can reveal complex relationships among the elements of action, laying bare their operation within the grammar of motives. We claim that the pentad offers lessons for students to engage with important societal issues, lessons about the limitations of any one construction of motives and how to overcome those limitations. (shrink)

O objectivo deste artigo é analisar a insígnia profissional e outros símbolos tipográficos usados pelos membros de uma família de impressores de nome António Álvares, que trabalharam em Lisboa nos séculos XVI e XVII. Inicia-se com uma súmula dos dados biográficos e da actividade destes profissionais; segue-se a apresentação da marca tipográfica e de outras gravuras; e conclui-se com uma breve reflexão sobre a importância do estudo das marcas tipográficas para a compreensão do trabalho dos impressores, que inclui a detecção (...) de obras contrafeitas e clandestinas. (shrink)

This paper examines whether a classical model could be translated into a PDP network using a standard connectionist training technique called extra output learning. In Study 1, standard machine learning techniques were used to create a decision tree that could be used to classify 8124 different mushrooms as being edible or poisonous on the basis of 21 different Features (Schlimmer, 1987). In Study 2, extra output learning was used to insert this decision tree into a PDP network being trained on (...) the identical problem. An interpretation of the trained network revealed a perfect mapping from its internal structure to the decision tree, representing a precise translation of the classical theory to the connectionist model. In Study 3, a second network was trained on the mushroom problem without using extra output learning. An interpretation of this second network revealed a different algorithm for solving the mushroom problem, demonstrating that the Study 2 network was indeed a proper theory translation. (shrink)

It is well-documented that mathematics achievement is an important predictor of many positive life outcomes like college graduation, career opportunities, salary, and even citizenship. As such, it is important for researchers and educators to help students succeed in mathematics. Although there are undoubtedly many factors that contribute to students' success in mathematics, much of the research and intervention development has focused on variations in instructional techniques. Indeed, even a cursory glance at many educational journals and granting agencies reveals that there (...) is a large amount of time, energy, and resources being spent on determining the best way to convey information through direct, declarative instruction. The proposed project is motivated by recent calls to expand the focus of research in mathematics education beyond direct, declarative instruction. The overarching goal of the presented experiment is to evaluate the efficacy of a novel mathematics intervention designed using principles taken from the literature on non-declarative learning. The intervention combines errorless learning and structured cue fading to help second grade students improve their understanding of symbolic magnitude. Results indicate that students who learned about symbolic magnitude using the novel intervention did better than students who were provided with extensive declarative support. These findings offer preliminary evidence in favor of using learning combination of errorless learning and cue fading techniques in the mathematics classroom. (shrink)

Technological innovations for online communication reduce the impact of signal transience on meaning standardization while boosting access to reliable patterning across multiple linguistic and nonlinguistic contexts – both asynchronous and synchronous. We classify emojis as ideographic symbols, examine their interdependence with surrounding words when reading/writing, and argue that emoji use validates the potential for meaning standardization in ideographs.

The study of logic goes back more than two thousand years and in that time many symbols and diagrams have been devised. Around 300 BC Aristotle introduced letters as term-variables, a "new and epoch-making device in logical technique." (W. & M. Kneale The Development of Logic (1962, p. 61). The modern era of mathematical notation in logic began with George Boole (1815- 1864), although none of his notation survives. Set theory came into being in the late 19th and early 20th (...) centuries, largely a creation of Georg Cantor (1845-1918). See MacTutor's A history of set theory or, for more detail, Set theory from the Stanford Encyclopedia of Philosophy. (shrink)

In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer's rule was applied to solve the system of symbolic 2-plithogenic linear equations. Also, provided enough examples for each case to enhance understanding.

This article uses tagmemic theory as a semiotic framework to analyze symbolic logic. It attends particularly to the issue of context for meaning and the role of personal observer/participants. It focuses on formal languages, which employ no ordinary words and from one point of view have “no meaning.” Attention to the context and the theorists who deploy these languages shows that formal languages have meanings at a higher level, colored by the purposes of the analysts. In fact, there is an (...) indefinitely ascending hierarchy of theories of theories, each of which analyzes and evaluates the theories at a lower level. By analogy with Kurt Gödel’s incompleteness theory, no level of the hierarchy can capture within formalism everything in a sufficiently complex system. The personal analysts always have to make judgments about how a formalized system is analogous to the world outside the system. Arguments in analytic philosophy can be useful in clarification, but neither clarification of terms nor clarification of the structure of arguments can eliminate the need for personal judgment. (shrink)

The strong continuity thesis postulates that the properties of mind are an enriched version of the properties of life, and thus that life and mind differ in degree and not kind. A philosophical problem for this view is the ostensive discontinuity between humans and other animals in virtue of our use of symbols—particularly the presumption that the symbolic nature of human cognition bears no relation to the basic properties of life. In this paper, we make the case that a genuine (...) account of strong continuity requires the identification of some sort of correlate of symbol-use in basic life properties. Our strategy is three-fold: 1) we argue that examples of proto-symbolism in simple living systems would be consistent with an evolutionary trajectory that ultimately produced symbolic cognition in humans; 2) we introduce Gordon Tomkins’ biological notion of ‘symbol’ as something that represents to the organism a feature of its environment that is significant to its survival; and 3) we employ this biological understanding of symbol-use to suggest that the symbolic nature of human cognition can be understood as an enriched version of the basic symbolic properties of life, thus preserving life-mind continuity in this context. (shrink)

It is very tempting to try to reconcile perception and cognition perceptual symbol systems may be a good way to achieve this; but is there actually a perception-cognition continuum? We offer several arguments for and against the existence of such a continuum and in favor of the choice of perceptual symbol systems. One of these arguments is purely theoretical, some are based on PET-scan observations and others are based on research with handicapped subjects who have communication problems associated (...) with cerebral lesions. These arguments suggest that modal perceptual symbols do indeed exist and that perception and cognition might have a common neuronal basis; but perceptual and cognitive activities require the activation of different neuronal structures. (shrink)

The contribution of data use in schools has been proven via visible changes in policy and practice in schools, changes in practitioners learning or cognition and changes in opinions or attitudes regarding teaching or policy-making. Nevertheless, limited research is available on the extent to which data use in schools results in the aforementioned effects and how they can be explained by data use expectations and collaboration. This paper addresses both issues by describing and explaining data use effects via a large-scale (...) study in Flanders. Data collected from 1472 teachers indicate that, although teachers are moderately positive about the extent to which data use results in different types of effects, data use effects cannot be taken for granted. Structural Equation Modelling shows that explicating data use expectations and data use collaboration are essential in order to facilitate data use effects in schools. (shrink)

Résumé: Cet article discute de façon générale les cas dans lesquels les symboles peuvent être utilisés de façon avantageuse dans le raisonnement logique et mathématique, et aspire, par un examen des symboles déjà existants, à déterminer quelques règles ou principes, d’abord, quant à l’opportunité d’introduire de nouveaux symboles, puis, quant au types de symboles qui doivent être sélectionnés. Cet article contient aussi une brève histoire du développement graduel de la méthode symbolique propre à l’auteur, telle qu’elle a été présentée et (...) expliquée par l’auteur dans ses articles publiés dans les Proceedings of the London Mathematical Society, le Educational Times, le Philosophical Magazine, et Mind. (shrink)

Résumé: Cet article discute de façon générale les cas dans lesquels les symboles peuvent être utilisés de façon avantageuse dans le raisonnement logique et mathématique, et aspire, par un examen des symboles déjà existants, à déterminer quelques règles ou principes, d’abord, quant à l’opportunité d’introduire de nouveaux symboles, puis, quant au types de symboles qui doivent être sélectionnés. Cet article contient aussi une brève histoire du développement graduel de la méthode symbolique propre à l’auteur, telle qu’elle a été présentée et (...) expliquée par l’auteur dans ses articles publiés dans les Proceedings of the London Mathematical Society, le Educational Times, le Philosophical Magazine, et Mind. (shrink)

In Nabokov's Lectures on Literature, he writes: "Style and structure are the essence of a book; great ideas are hogwash." The essays in No Symbols Where None Intended: Literary Essays from Laclos to Beckett use Nabokov's stylistic approach to well-known texts (fiction, drama and criticism) as a point of departure. Notions of style and structure link the three prose pieces discussed in the text, (Beckett, Smart, and Turgenev,) to the fiction and drama of Ibsen and Strindberg. Mark Axelrod joins a (...) wide and deep conversation on writers on writing. (shrink)

The main intention of this article is to analyze the role of Islam in post-Soviet Kazakhstan and its utilization in the nation-building and state-building processes. It is argued that Islam in post-Soviet Kazakhstan is a cultural phenomenon rather than a religious one and is an important marker of national identity despite the competition of radical movements in the “religious field.”.

This chapter examines a common objection to sex robots: the symbolic-consequences argument. According to this argument sex robots are problematic because they symbolise something disturbing about our attitude to sex-related norms such as consent and the status of our sex partners, and because of the potential consequences of this symbolism. After formalising this objection and considering several real-world uses of it, the chapter subjects it to critical scrutiny. It argues that while there are grounds for thinking that sex robots could (...) symbolically represent a troubling attitude toward women (and maybe children) and the norms of interpersonal sexual relationships, the troubling symbolism is going to be removable in many instances and reformable in others. What will ultimately matter are the consequences of the symbolism but these consequences are likely to be difficult to ascertain. This may warrant an explicitly experimental approach to the development of this technology. (shrink)

Final Crisis was an event comic produced by DC Comics in 2008 and written by Grant Morrison. In the story, the villain Darkseid takes over the minds of a majority of the Earth's population, including many of its superheroes. Wonder Woman is a notable exception. When one digs into the history of Wonder Woman, though, it isn't difficult to see from where Morrison is coming. This chapter examines a term Zizek uses alongside his discussion of fetishes, the "symptom". In everyday (...) use, it is easy to confuse what Zizek calls a symptom. If Morrison finds the concept of Wonder Woman to be bogus in light of the kinky sexuality associated with her origin, one could see his portrayal of Wonder Woman in Final Crisis as an attempt to bring to light the repressed truth underneath the surface of her image as a feminist icon. (shrink)

Recent experimental evidence from developmental psychology and cognitive neuroscience indicates that humans are equipped with unlearned elementary mathematical skills. However, formal mathematics has properties that cannot be reduced to these elementary cognitive capacities. The question then arises how human beings cognitively deal with more advanced mathematical ideas. This paper draws on the extended mind thesis to suggest that mathematical symbols enable us to delegate some mathematical operations to the external environment. In this view, mathematical symbols are not only used to (...) express mathematical concepts—they are constitutive of the mathematical concepts themselves. Mathematical symbols are epistemic actions, because they enable us to represent concepts that are literally unthinkable with our bare brains. Using case-studies from the history of mathematics and from educational psychology, we argue for an intimate relationship between mathematical symbols and mathematical cognition. (shrink)

This ambitious work reclassifies and restructures the history of ideas and the philosophy of culture through a wide-ranging and novel use of the idea of the organon. It does so by radically revising standard interpretations and theories of all branches of philosophy, and by providing an intellectual and philosophical foundation for the new organon of the cultural sciences. Furthermore, the seeded idea that saw its growth in the form of this book is the unshakable conviction that the only way by (...) which a new apparatus of philosophy, an organon, could be created is by harking back to the vast sources of imagination, inspiration and mimÄ"sis. This entire study is based on the notion that metaphysics, insofar as it is concerned with the world in its entirety and with human beingâ (TM)s existence and thought, should provide the foundation for the organon of cultural sciences, based on symbolic forms. Given that the colossal amount of information and knowledge of philosophy, arts, humanities, logic, mathematics, social sciences and natural sciences cannot be comprised, analyzed and comprehended per se, it is the organonâ (TM)s objective to extract the main principles, ideas, postulates, theorems and theories of the cultural sciences, and, subsequently, to shape and restructure them as symbolic forms. Since all these principles are grounded on Becomingâ "which is not a stable or fixed entity such as Being, substance or thingâ "the symbolic forms preserve and change, elevate and further the organon of the cultural sciences, via a critical-dialectical process. (shrink)

Keeping track of what others believe is a central part of human social cognition. However, the social relevance of those beliefs can vary a great deal. Some belief attributions mostly tell us about what a person is likely to do next. Other belief attributions tell us more about a person's social identity. In this paper, I argue that we cope with this challenge by employing two distinct concepts of belief in our everyday social interactions. The epistemic concept of belief is (...) primarily used to keep track of what other people take to be true, and this informs how we predict and interpret their behaviors. The symbolic concept of belief, in contrast, is primarily used as a means of signaling one's social identity to other members of one's community. In turn, community members closely monitor each other's symbolic beliefs as a means of enforcing social norms. (shrink)

We are familiar with the idea of symbolic value in everyday contexts, and philosophers sometimes help themselves to it when discussing other topics. However, symbolic value itself has not been sufficiently studied. What is it for something to have symbolic value? How important is symbolic value? The present purpose is to shed some light on the nature and significance of symbolic value. Two kinds of symbolic value are distinguished, called the ‘symbolic mode of valuing’ and ‘symbolism as a ground of (...) value’. Their potential significance lies in making a thoroughly relational contribution to thought about values, compared to the individualistic nature of more familiar values. This relational contribution consists in the role of symbols in shared ways of living. (shrink)

Symbolic arithmetic is fundamental to science, technology and economics, but its acquisition by children typically requires years of effort, instruction and drill1,2. When adults perform mental arithmetic, they activate nonsymbolic, approximate number representations3,4, and their performance suffers if this nonsymbolic system is impaired5. Nonsymbolic number representations also allow adults, children, and even infants to add or subtract pairs of dot arrays and to compare the resulting sum or difference to a third array, provided that only approximate accuracy is required6–10. Here (...) we report that young children, who have mastered verbal counting and are on the threshold of arithmetic instruction, can build on their nonsymbolic number system to perform symbolic addition and subtraction11–15. Children across a broad socio-economic spectrum solved symbolic problems involving approximate addition or subtraction of large numbers, both in a laboratory test and in a school setting. Aspects of symbolic arithmetic therefore lie within the reach of children who have learned no algorithms for manipulating numerical symbols. Our findings help to delimit the sources of children’s difficulties learning symbolic arithmetic, and they suggest ways to enhance children’s engagement with formal mathematics. We presented children with approximate symbolic arithmetic problems in a format that parallels previous tests of non-symbolic arithmetic in preschool children8,9. In the first experiment, five- to six-year-old children were given problems such as ‘‘If you had twenty-four stickers and I gave you twenty-seven more, would you have more or less than thirty-five stickers?’’. Children performed well above chance (65.0%, t1952.77, P 5 0.012) without resorting to guessing or comparison strategies that could serve as alternatives to arithmetic. Children who have been taught no symbolic arithmetic therefore have some ability to perform symbolic addition problems. The children’s performance nevertheless fell short of performance on non-symbolic arithmetic tasks using equivalent addition problems with numbers presented as arrays of dots and with the addition operation conveyed by successive motions of the dots into a box (71.3% correct, F1,345 4.26, P 5 0.047)8.. (shrink)

Prior to the twentieth century, theories of knowledge were inherently perceptual. Since then, developments in logic, statis- tics, and programming languages have inspired amodal theories that rest on principles fundamentally different from those underlying perception. In addition, perceptual approaches have become widely viewed as untenable because they are assumed to implement record- ing systems, not conceptual systems. A perceptual theory of knowledge is developed here in the context of current cognitive science and neuroscience. During perceptual experience, association areas in the (...) brain capture bottom-up patterns of activation in sensory-motor areas. Later, in a top-down manner, association areas partially reactivate sensory-motor areas to implement perceptual symbols. The stor- age and reactivation of perceptual symbols operates at the level of perceptual components – not at the level of holistic perceptual expe- riences. Through the use of selective attention, schematic representations of perceptual components are extracted from experience and stored in memory (e.g., individual memories of green, purr, hot). As memories of the same component become organized around a com- mon frame, they implement a simulator that produces limitless simulations of the component (e.g., simulations of purr). Not only do such simulators develop for aspects of sensory experience, they also develop for aspects of proprioception (e.g., lift, run) and introspec- tion (e.g., compare, memory, happy, hungry). Once established, these simulators implement a basic conceptual system that represents types, supports categorization, and produces categorical inferences. These simulators further support productivity, propositions, and ab- stract concepts, thereby implementing a fully functional conceptual system. Productivity results from integrating simulators combinato- rially and recursively to produce complex simulations. Propositions result from binding simulators to perceived individuals to represent type-token relations. Abstract concepts are grounded in complex simulations of combined physical and introspective events. Thus, a per- ceptual theory of knowledge can implement a fully functional conceptual system while avoiding problems associated with amodal sym- bol systems. Implications for cognition, neuroscience, evolution, development, and artificial intelligence are explored. (shrink)