this paper will consider Nelson's vision to demonstrate that, despite its hyperlinking, Nelson's project presents a unipolar, extensional vision of hypermedia. We explore the limits of such an extensional web and redene the web through an intensional model (ConTexts and Intensional Communities). We also present this model's possibilities for future growth in creating machine-assisted, networked communications and communities

Abstract Internet mapping and the widespread availability of mapping software are revolutionizing the world of cartography: anyone can now produce maps of many areas of the world. However, these tools typically only allow one to produce pictures, and the process undertaken to achieve these pictures is lost. We present a new approach to cartography in which maps are understood to be the visual representation of a multidimensional context, and the space being mapped is one such context. This approach to mapping- called intensional- allows the developers of maps to keep track of all the choices that are being made, whether visual, structural or sociohistorical, and to share these choices with others, in real-time. As a result, electronic maps become much more flexible and versatile, and much more supportive of speculative research. 1 What is a map? A map is the visual representation of the ground or its environment. A hard-copy map is a stand-alone document that carries little or no history of its development and the supporting data is not attainable. A user viewing such a map, has to view the representation of the ground solely through the eyes of the cartographer with fixed settings. The introduction of electronic mapping has somewhat changed this situation. Certain Internet mapping tools [3, 5] allow the user to manipulate a fixed set of data, allowing control of a restricted number of parameters. Still, in the end, the user is left with a graphical file, containing just visual information. No further manipulation is possible on this file. Furthermore, in some cases the user might not be able to reproduce it on demand. The supporting data and history associated with its evolution can disappear. The main difference with the hard-copy map is that the user can create his or her own map. As trade off, electronic maps often do not achieve the quality of the best paper maps, although this problem will disappear with further developments in graphics software and hardware.

We summarize the interaction between the theory behind intensional programming, as seen in Lucid; and intensional versioning, as seen in Lemur, Intensional HTML, ISE, VMAKE, etc. These two concepts can be seen to be duals of each other, and they rely on dual notions of store, the warehouse for caching values, and the catalog for providing definitions. Catalogs contain intensional objects, which are openable boxes labelled by Lucid contexts. Finally, Lucid contexts are now first-class values. 1

The Extensible Markup Language (XML) tends to become a widely accepted formalism for the representation and exchange of data over the Web. A problem that often arises in practice is the representation in XML of data that are context-dependent (for example, information that exists in many di erent languages, in many degrees of detail, and so on). In this paper we propose an extension of XML, namely MXML or Multidimensional XML, which can be used in order to alleviate the problem of representing such context-dependent (or multidimensional) data.