Alfred North Whitehead. Process and Reality. The MacMillan Company, New York, 1929.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....is, where no metric information is to hand. If regions are first class entities and points are logical constructions based on them, then who knows what interesting new ways of considering spatial entities and relations there might be Clarke [12] 13] following an idea of Whitehead [40], sought to reconstruct mereotopology in terms of a primitive relation of connection holding between regions. Following this work, Biacino and Gerla [5] have studied models of Clarke s theory. More recently, and partially as a response to debates concerning temporal reasoning and knowledge ....

Alfred North Whitehead. Process and Reality. The MacMillan Company, New York, 1929. 18

.... and Garson [26] Rescher and Urquhart [27] Segerberg [29] Shehtman [31] von Wright [33] Most recent work on qualitative spatial reasoning has focussed on mereotopological languages, that is, those whose primitives are limited to mereological (part whole) and topological relations (Whitehead [34], Clarke [9] 10] Biacino and Gerla [5] Gotts, Gooday and Cohn [16] Asher and Vieu [1] Borgo, Guarino, and Masolo [6] Roeper [28] Pratt and Lemon [24] Whether qualitative spatial representation languages have any practical uses is still unclear. For purely topological languages, which ....

Alfred North Whitehead. Process and Reality. The MacMillan Company, New York, 1929.

....argued that morphisms are more important than objects, because they reveal what the structure really is. Moreover, the category concept can be defined using only morphisms. Perhaps the bias of modern Western languages and cultures towards objects rather than relationships accounts for this (see [50, 64] for some related discussion) By way of notation, we use ; for composition, and 1 A for the identity morphism at an object A. Now some examples: 1.1 Sets. If we take sets to be objects, then their morphisms are clearly going to be functions. A set morphism, however, is not just a set of ordered ....

Alfred North Whitehead. Process and Reality. Free, 1969.

....of space; a modal logic of connected regions of the plane. 1 MOTIVATION In recent years there has been much interest in logics of space (eg: Randell et al. 1992, Gotts et al. 1996, Asher and Vieu, 1995, Bennett, 1995] Different research programmes have developed from work (eg: Tarski, 1956, Whitehead, 1929, Clarke, 1981, Clarke, 1985] on logic and mereotopology [Biacino and Gerla, 1991] of [Allen, 1981] on temporal logic, and investigations into modal logics of space [Rescher and Garson, 1968, von Wright, 1979] resulting in a lively research area. Logics of space have obvious applications in ....

Alfred North Whitehead. Process and Reality. The MacMillan Company, New York, 1929.

....when considering problems involving mereological (part whole) and other topological notions that is, where no metric information is to hand. Recent interest in mereotopology , much of it from within the AI community, dates from the work of Clarke [5] 6] following earlier work of Whitehead [13]. See, for example, Randall, Cui and Cohn [11] Gotts, Gooday and Cohn [7] and Borgo, Guarino and Masolo [4] A mereotopological calculus is an axiomatic system in a formal language whose variables are to be thought of as ranging over spatial regions, and whose non logical constants are to be ....

Alfred North Whitehead. Process and Reality. The MacMillan Company, New York, 1929.

....is, where no metric information is to hand. If regions are first class entities and points are logical constructions based on them, then who knows what interesting new ways of considering spatial entities and relations there might be Clarke [11] 12] following an idea of Whitehead [39], sought to reconstruct mereotopology in terms of a primitive relation of connection holding between regions. Following this work, Biacino and Gerla [5] have studied models of Clarke s theory. More recently, and partially as a response to debates concerning temporal reasoning and knowledge ....

Alfred North Whitehead. Process and Reality. The MacMillan Company, New York, 1929.

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Alfred North Whitehead. Process and Reality. The MacMillan Company, New York, 1929.

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Alfred North Whitehead. Process and Reality. Free, 1985.

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