Walter Map was a twelfth-century courtier and royal servant. He was a prolific writer, but De Nugis Curialium is the only surviving work confidently attributed to him. The book is a collection of short stories and anecdotes about the court, religion and history. Map's references demonstrate that he read widely, not only biblical and theological works, but also classical authors such as Horace, Virgil, Ovid and Juvenal. The only surviving manuscript of the work is a fourteenth-century copy once belonging to (...) the monk John Wells of Ramsey Abbey. The Cambridge bibliographer M. R. James would have been attracted to the breadth of Map's referencing, and the author's light-hearted writing style which was intended to entertain. James' 1914 Oxford publication corrected the earlier work of Thomas Wright who published an edition for the Camden Society in 1850. (shrink)

Most of us create and use a panoply of non-sentential representations throughout our ordinary lives: we regularly use maps to navigate, charts to keep track of complex patterns of data, and diagrams to visualize logical and causal relations among states of affairs. But philosophers typically pay little attention to such representations, focusing almost exclusively on language instead. In particular, when theorizing about the mind, many philosophers assume that there is a very tight mapping between language and thought. Some analyze (...) utterances as the outer vocalizations of inner thoughts (e.g. Grice 1957, Devitt 2005), while others treat thought as a form of inner speech (e.g. Sellars 1956/1997, Carruthers 2002). But even philosophers who take no stand on the relative priority of language and thought still tend to individuate mental states in terms of the sentences we use to ascribe them. Indeed, Dummett (1993) claims that it is constitutive of analytic philosophy that it approaches the mind by way of language. In many ways, this linguistic model is salutary. Our thoughts are often intimately intertwined with their linguistic expression, and public language does provide a comparatively tractable proxy for, and a window into, the messier realm of thought. However, an exclusive focus on thought as it is expressed in language threatens to leave other sorts of thought unexplained, or even to blind us to their possibility. In particular, many cognitive ethologists and psychologists find it useful to talk about humans, chimpanzees, birds, rats, and even bees as employing cognitive maps. We need to make sense of this way of talking about minds as well as more familiar sentential descriptions. In what follows, I investigate the theoretical and practical possibility of non-sentential thought. Ultimately, I am most interested in the contours of distinctively human thought: what forms does human thought take, and how do those different forms interact? How does human thought compare with that of other animals? In this essay, however, I focus on a narrower and more basic theoretical question: could thought occur in maps? Many philosophers are convinced that in some important sense, thought per se must be language-like.. (shrink)

We propose that children employ specialized cognitive systems that allow them to recover an accurate “causal map” of the world: an abstract, coherent, learned representation of the causal relations among events. This kind of knowledge can be perspicuously understood in terms of the formalism of directed graphical causal models, or “Bayes nets”. Children’s causal learning and inference may involve computations similar to those for learning causal Bayes nets and for predicting with them. Experimental results suggest that 2- to 4-year-old children (...) construct new causal maps and that their learning is consistent with the Bayes net formalism. (shrink)

Since Tolman’s paper in 1948, psychologists and neuroscientists have argued that cartographic representations play an important role in cognition. These empirical findings align with some theoretical works developed by philosophers who promote a pluralist view of representational vehicles, stating that cognitive processes involve representations with different formats. However, the inferential relations between maps and representations with different formats have not been sufficiently explored. Thus, this paper is focused on the inferential relations between cartographic and linguistic representations. To that effect, (...) we appeal to heterogeneous inference with ordinary maps and sentences. In doing so, we aim to build a model to bridge the gap between cartographic and linguistic thought. (shrink)

"You are here, a map declares, but of course you are not, any more than you truly occupy the vantage point into which a landscape painting puts you. How maps and paintings figure and reconfigure space--as well as our place in it--is the subject of Edward S. Casey's study, an exploration of how we portray the world and its many places. Casey's discussion ranges widely from Northern Sung landscape painting to nineteenth-century American and British landscape painting and photography, from (...) prehistoric petroglyphs and medieval portolan charts to seventeenth-century Dutch cartography and land survey maps of the American frontier. From these culturally and historically diverse forays a theory of representation emerges. Casey proposes that the representation of place in visual works be judged in terms not of resemblance, but of reconnecting with an earth and world that are not the mere content of mind or language--a reconnection that calls for the embodiment and implacement of the human subject." -- Book jacket. (shrink)

A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path Structures in General Relativity and Yang-Mills Theory." Int. J. Th. Phys. 30, ], establishes that given a "generalized" holonomy map from the space of piece-wise smooth, closed curves based at some point of a manifold to a Lie group, there exists a principal bundle with that group as structure group and a principal connection on that bundle such that the holonomy map corresponds to (...) the holonomies of that connection. Barrett also provided one sense in which this "recovery theorem" yields a unique bundle, up to isomorphism. Here we show that something stronger is true: with an appropriate definition of isomorphism between generalized holonomy maps, there is an equivalence of categories between the category whose objects are generalized holonomy maps on a smooth, connected manifold and whose arrows are holonomy isomorphisms, and the category whose objects are principal connections on principal bundles over a smooth, connected manifold. This result clarifies, and somewhat improves upon, the sense of "unique recovery" in Barrett's theorems; it also makes precise a sense in which there is no loss of structure involved in moving from a principal bundle formulation of Yang-Mills theory to a holonomy, or "loop", formulation. (shrink)

Weakly interacting lattices of coupled maps can be modeled as ordinary coupled map lattices separated from each other by boundary regions with small coupling parameters. We demonstrate that such weakly interacting lattices can nevertheless have unexpected and striking effects on each other. Under specific conditions, particular stability properties of the lattices are significantly influenced by their weak mutual interaction. This observation is tantamount to an efficacious information flow across the boundary.

How can one investigate phenomenal consciousness? As in other areas of science, the investigation of consciousness aims for a more precise knowledge of its phenomena, and the discovery of general truths about their nature. This requires the development of appropriate first-person, second-person and third-person methods. This book introduces some of the creative ways in which these methods can be applied to different purposes, e.g. to understanding the relation of consciousness to brain, to examining or changing consciousness as such, and to (...) understanding the way consciousness is influenced by social, clinical and therapeutic contexts. To clarify the strengths and weaknesses of different methods and to demonstrate the interplay of methodology and epistemology, the book also suggests a number of “maps” of the consciousness studies terrain that place different approaches to the study of consciousness into a broader, interdisciplinary context. (shrink)

This study presents the application of self-organizing maps to air-quality data in order to analyze episodes of high pollution in Madrid. The goal of this work is to explore the dataset and then compare several scenarios with similar atmospheric conditions : some of them when no actions were taken and some when traffic restrictions were imposed. The levels of main pollutants, recorded at these stations for eleven days at four different times from 2015 to 2018, are analyzed in order (...) to determine the effectiveness of the anti-pollution measures. The visualization of trajectories on the self-organizing map let us clearly see the evolution of pollution levels and consequently evaluate the effectiveness of the taken measures, after and during the protocol activation time. (shrink)

The research aims to harness spatial interpolation techniques to produce maps with a high level of perceptual accuracy in representing the population data of the study area. This is achieved after exploring the statistical and spatial nature of the databases used, analyzing them, and determining their distribution using a variety of spatial data exploration tools available within the GIS (Geographic Information Systems) environment. These tools contribute to evaluating the characteristics, distribution, and analysis of data, including testing data distribution, identifying (...) its direction, and uncovering its spatial correlations. This highlights the importance of the study and understanding the distribution pattern of the population data in the study area, thereby facilitating the preparation of future that serve spatial organization by building spatial models for the numerical distribution of the data for age groups: young, middle-aged, and elderly, at the level of administrative units of the study area by relying on the inductive approach and the quantitative analysis approach. This is done using Geostatistical Analysis methods within the concept of spatial interpolation in GIS. The research also seeks to predict the population maps for Thi Qar Governorate by comparing spatial interpolation methods, namely Inverse Distance Weighting (IDW) and Simple Kriging (SK). The study concluded, after verifying the accuracy of the results using the Cross-Validation curve, that the Simple Kriging (SK) method is the most accurate model in spatial prediction of population data for representing the data of the young age group in the study area, as it had the lowest Root Mean Square Error (RMSE) of 10.012. It was followed by the Inverse Distance Weighting (IDW) method for representing the data of the elderly age group with an RMSE of 350.48. This indicates that the use of statistical criteria improves the accuracy of spatial interpolation and that the spatial prediction of the population data for the study area using the Simple Kriging (SK) method was more accurate than the Inverse Distance Weighting (IDW) method based on statistical indicators. (shrink)

Analytic Philosophy, Volume 63, Issue 2, Page 90-98, June 2022.

Consider an o-minimal expansion of the real field. We show that definable Lipschitz continuous maps can be definably fine approximated by definable continuously differentiable Lipschitz maps whose Lipschitz constant is close to that of the original map.

The two great modern naturalists, Linnaeus and Darwin, expressed their intuition about how best to visualize patterns of affinities, that is, morphological similarities and divergences between taxa. Linnaeus suggested that “all plants show affinities on all sides, like a territory on a geographical map,” while Darwin thought that it was virtually impossible to understand the affinities between living and extinct species without a genealogical tree. Genealogical trees follow the diachronic, evolving logic of a timeline, whereas maps depict a synchronous (...) pattern of extant taxa. Although the two seem unrelated, various naturalists made attempts to combine them. Surprisingly, these resulted in three-dimensional images that, in order to be observed, had to be projected on paper. The naturalists Max Fürbringer and Richard Bowdler Sharpe were aware of this fact, but even Darwin himself twice combined the basic intuitions underlying the two modes of representation to produce three-dimensional images. This article is a brief history of the efforts to merge genealogical trees and map-like cross sections of affinities into one three-dimensional image. (shrink)

In this book we study the concepts of Fuzzy Cognitive Maps and their Neutrosophic analogue, the Neutrosophic Cognitive Maps.

How can one investigate phenomenal consciousness? As in other areas of science, the investigation of consciousness aims for a more precise knowledge of its phenomena, and the discovery of general truths about their nature. This requires the development of appropriate first-person, second-person, and third-person methods. This book introduces some of the creative ways in which these methods can be applied to different purposes, e.g. to understand the relation of consciousness to brain, to examining or changing consciousness as such, and to (...) the way consciousness is influenced by social, clinical and therapeutic contexts. To clarify the strengths and weaknesses of different methods and to demonstrate the interplay of methodology and epistemology, the book also suggests a number of "maps" of the consciousness studies terrain that places different approaches to the study of consciousness into a broader, interdisciplinary context. (shrink)

This paper provides a partial solution to the completeness problem for Joyal's axiomatization of open and etale maps, under the additional assumption that a collection axiom holds.

“Scientific theories are maps of the natural world.” This metaphor is often used as part of a deflationary argument for a weak but relatively global version of scientific realism, a version that recognizes the place of conventions, goals, and contingencies in scientific representations, while maintaining that they are typically true in a clear and literal sense. By examining, in a naturalistic way, some relationships between maps and what they map, we question the scope and value of realist construals (...) of maps—and by extension of scientific representations. Deflationary philosophy of science requires more variegated stances. (shrink)

Throws down a challenge to religious studies, offering a multidisciplinary approach - including developmental psychology, neuropsychology, philosophy of mind, and anthropology.

Drawing for explanation flourished in the medieval West in biblical exegesis. Some Christian and Jewish scholars, holding that the literal meaning of the holy scriptures had to be established before the allegorical and typological meanings could be reached, made good use of visual exegesis. Of the few Christian scholars who attempted a literal interpretation of the notoriously difficult Old Testament book of the prophet Ezekiel, one was Richard of St Victor and another was Nicholas of Lyra, who had read Richard's (...) work and also, like him, seen the Jewish scholar Rashi's illustrations for Ezekiel. Both Richard and Nicholas supported their arguments with the plans of Ezekiel's visionary temple and the map that places the temple in its regional context discussed in this essay. Also discussed is the subsequent adaptation of these medieval diagrammatic maps for a quite different readership. (shrink)

This paper will investigate how geographic features were recorded on maps in the eighteenth century in order to outline the construction of geographic knowledge by British mapmakers. Due to practical and economic factors, early modern cartography was a conservative practice based on source compilation and comparison. For the Pacific region especially, the paucity of first-hand observations and the conflicting nature of those observations rendered the world's largest ocean difficult to chart and prone to the retention of mythical continents, passages (...) and islands. After a discussion of the practical and economic reasons why geographic features were difficult to revise on maps, the article focuses on a case study to show how geographic enigmas could be placed and persist. It will use Pepys Island to illustrate the ways in which a chimeric feature could become instilled in geographic parlance. (shrink)

This paper presents an ethnomethodological analysis of the representation of space in hand-drawn maps. The rendering practice of hand drawn maps includes some systematic devices by which real space is transformed into two-dimensional space on paper and a map is recognized as the map representing a certain space. In other words, members use these devices not only to trace real space but also to enable the recognition of space in a specific mode. The paper deals with three distinctive (...) patterns affording accountability of geographical features: retention of the three-dimensionality of real space; formal resemblance with intertextuality; and identification of space by means of words. Retention of the 3D of space on map is the device that assigns 3D effect to maps and contributes to the perception of the figure as being similar to real space. Intertextuality bestows formal resemblance on various maps to secure the intersubjectivity and scientific objectivity of maps. Words entered on hand-drawn maps enable a reading of a correspondence of maps with real space. The representation of space makes sense by virtue of these devices that accomplish the recognizability of space between the drawers and readers of hand-drawn maps. (shrink)

Squashed entanglement :829–840, 2004) is a monogamous entanglement measure, which implies that highly extendible states have small value of the squashed entanglement. Here, invoking a recent inequality for the quantum conditional mutual information :575–611, 2015) greatly extended and simplified in various work since, we show the converse, that a small value of squashed entanglement implies that the state is close to a highly extendible state. As a corollary, we establish an alternative proof of the faithfulness of squashed entanglement. We briefly (...) discuss the previous and subsequent history of the Fawzi–Renner bound and related conjectures, and close by advertising a potentially far-reaching generalization to universal and functorial recovery maps for the monotonicity of the relative entropy. (shrink)

During the 17th and 18th centuries, European investigations into Chinese geography underwent a process of change: firstly, from the wild imagination of the classical era to a natural perspective of modern trade, then historical interpretations of religious missionaries to the scientific mapping conducted by sovereign nation-states. This process not only prompted new production of maps, but also disseminated a large amount of geographical knowledge about China in massive publications. This has enriched the geographical vision of Chinese civilization while providing (...) a new intellectual framework for Europeans to understand China. Concurrently, it has formed another route for the travel of knowledge and intercultural interactions between the East and the West. Those interactions between space and knowledge have been reflected in the production, publication and dissemination of numerous maps of China in early modern Europe. (shrink)

The identification and analysis of the spatiotemporal dynamic traffic patterns in citywide road networks constitute a crucial process for complex traffic management and control. However, city-scale and synchronal traffic data pose challenges for such kind of quantification, especially during peak hours. Traditional studies rely on data from road-based detectors or multiple communication systems, which are limited in not only access but also coverage. To avoid these limitations, we introduce real-time, traffic condition digital maps as our input. The digital (...) class='Hi'>maps keep spatiotemporal urban traffic information in nature and are open to access. Their pixel colors represent traffic conditions on corresponding road segments. We propose a stacked convolutional autoencoder-based method to extract a low-dimension feature vector for each input. We compute and analyze the distances between vectors. The statistical results show different traffic patterns during given periods. With the actual data of Chongqing city, we compare the feature extraction performance between our proposed method and histogram. The result shows our proposed method can extract spatiotemporal features better. For the same data set, there is little difference in the number distribution of red pixels found in the statistics result of the histogram, while differences do exist in the results of our proposed method. We find the most fluctuated morning is on Friday; the most fluctuated evening is on Tuesday; and the most stable evening is on Wednesday. The distance captured by our method can represent the evolution of different traffic conditions during the morning and evening peak hours. Our proposed method provides managers with assistance to sense the dynamics of citywide traffic conditions in quantity. (shrink)

Let A be a subset of the constructive real line. What are the necessary and sufficient conditions for the set A such that A is continuously separated from other reals, i.e., there exists a continuous function f with f−1(0) = A? In this paper, we study the notions of closed sets and closure maps in constructive reverse mathematics.

Philosophers and psychologists acclaim Edward C. Tolman's “Cognitive Maps in Rats and Men” as an early, transformative instance of representationalist explanation. The article is said to mark a move by Tolman to renounce his behaviorism and to herald a new, cognitivist psychology. I argue, opposingly, that framing the text with reference to later psychology badly distorts its meaning. The text is better understood with respect to the contexts of its age and deeper currents in the history of psychology. Tolman (...) is not upturning behaviorism; he is re-litigating an intramural debate between behaviorists pertaining to the place of physiology in psychology. (shrink)

Contemporary philosophy of technology after the empirical turn has surprisingly little to say on the relation between language and technology. This essay describes this gap, offers a preliminary discussion of how language and technology may be related to show that there is a rich conceptual space to be gained, and begins to explore some ways in which the gap could be bridged by starting from within specific philosophical subfields and traditions. One route starts from philosophy of language (both ‘‘analytic’’ and (...) ‘‘continental’’: Searle and Heidegger) and discusses some potential implications for thinking about technology; another starts from artefact-oriented approaches in philosophy of technology and STS and shows that these approaches might helpfully be extended by theorizing relationships between language and techno- logical artefacts. The essay concludes by suggesting a research agenda, which invites more work on the relation between language and technology. (shrink)