## What is a Forest? On the vagueness of certain geographic concepts (2002)

Venue: | Topoi |

Citations: | 27 - 2 self |

### BibTeX

@ARTICLE{Bennett02whatis,

author = {Brandon Bennett},

title = {What is a Forest? On the vagueness of certain geographic concepts},

journal = {Topoi},

year = {2002},

volume = {20},

pages = {189--201}

}

### Years of Citing Articles

### OpenURL

### Abstract

The paper examines ways in which the meanings of geographical concepts are affected by the phenomenon of vagueness. A logical analysis based on the theory of supervaluation semantics is developed and employed to describe differences and logical dependencies between different senses of vague concepts. Particular attention is given to analysing the concept of `forest' which exhibits many kinds of vagueness.

### Citations

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- 1993
(Show Context)
Citation Context ...be separable from context there may be cases where this distinction is blurred. A close connection between the phenomena is born out by the fact that formalisations of the logic of context (see e.g. (=-=McCarthy 1993-=-)) have much in common with the supervaluation approach to vagueness. 3 Formalising the Logic of Vagueness In modelling vagueness in geographical information researchers have tended to adopt technique... |

124 | The 'eggyolk' representation of regions with indeterminate boundaries - G, Gotts - 1994 |

91 |
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Citation Context ...n used within computer science. The most common approaches here are based on multi-valued logic ( Lukasiewicz and Tarski 1930) and its generalisation Fuzzy logic (Zadeh 1965, Zadeh 1975, Goguen 1969, =-=Dubois and Prade 1988-=-). For example, (Foody 1992) and (Usery 1996) apply a fuzzy representation to geographical features can be found. An extensive discussions of the pros and cons of fuzzy logic can be found in (Elkan 19... |

73 |
The Logic of Inexact Concepts
- Goguen
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(Show Context)
Citation Context ...hich have been used within computer science. The most common approaches here are based on multi-valued logic ( Lukasiewicz and Tarski 1930) and its generalisation Fuzzy logic (Zadeh 1965, Zadeh 1975, =-=Goguen 1969-=-, Dubois and Prade 1988). For example, (Foody 1992) and (Usery 1996) apply a fuzzy representation to geographical features can be found. An extensive discussions of the pros and cons of fuzzy logic ca... |

70 | The paradoxical success of fuzzy logic
- Elkan
- 1994
(Show Context)
Citation Context ...ade 1988). For example, (Foody 1992) and (Usery 1996) apply a fuzzy representation to geographical features can be found. An extensive discussions of the pros and cons of fuzzy logic can be found in (=-=Elkan 1993-=-) and a more philosophically oriented consideration of these issues can be found 5 in (Williamson 1994). In accord with Elkan, I suggest that fuzzy logic may be an appropriate formalism for modelling ... |

66 |
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(Show Context)
Citation Context ...erised in terms of a probability that a particular piece of land should be counted as a forest. The approach which I propound in this paper is to model vagueness in terms of supervaluation semantics (=-=Fine 1975-=-), which I believe can provide a much deeper insight into the nature of the vagueness intrinsic in many geographical concepts. The fundamental idea upon which this theory is based is that a vague lang... |

42 |
Untersuchungen über den Aussagenkalkül. Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie
- ̷Lukasiewicz, Tarski
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(Show Context)
Citation Context ...lling vagueness in geographical information researchers have tended to adopt techniques which have been used within computer science. The most common approaches here are based on multi-valued logic ( =-=Lukasiewicz and Tarski 1930-=-) and its generalisation Fuzzy logic (Zadeh 1965, Zadeh 1975, Goguen 1969, Dubois and Prade 1988). For example, (Foody 1992) and (Usery 1996) apply a fuzzy representation to geographical features can ... |

32 |
The EGG/YOLK reliability hierarchy : Semantic data integration using sorts with prototypes
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(Show Context)
Citation Context ... This may be regarded as an example of conceptual vagueness. However, it is also a general ontological issue which applies to spatial concepts that are not in other ways vague. The `Egg-Yolk' theory (=-=Lehmann and Cohn 1994-=-, Cohn and Gotts 1996a, Cohn and Gotts 1996b) directly models the notion of a vague (or uncertain) region in terms of its maximal and minimal possible extensions. The maximal extension is called the `... |

18 | Many, but Almost One - Lewis - 1993 |

17 | The nature of boundaries on ‘AreaClass’ maps - Mark, Csillag - 1989 |

15 | Representing Spatial Vagueness: A Mereological Approach - Cohn, Gotts - 1996 |

12 |
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(Show Context)
Citation Context ...environmental and social management. The need to provide asrm foundation for the interpretation and manipulation of this data has led to recent interest of geographers in ontological questions (e.g. (=-=Frank 1997-=-)). But, while there is a high level of awareness of issues uncertain and imprecise information the diculty of taking account of the intrinsic vagueness of natural concepts does not seem to have been ... |

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(Show Context)
Citation Context ...within which we can dene operators that articulate certain aspects of the logic of vagueness. One possibility is to take a modal approach and represent vagueness in terms of propositional operators (B=-=enne-=-tt 1998). U means that is unequivocally true | i.e. true for all precisications; S can be read ` is in some sense true' | i.e. true for some precisication. S is the dual of U and thus can be dened by... |

8 |
A fuzzy sets approach to the representation of vegetation continua from remotely sensed data: an example from lowland
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(Show Context)
Citation Context ...st common approaches here are based on multi-valued logic ( Lukasiewicz and Tarski 1930) and its generalisation Fuzzy logic (Zadeh 1965, Zadeh 1975, Goguen 1969, Dubois and Prade 1988). For example, (=-=Foody 1992-=-) and (Usery 1996) apply a fuzzy representation to geographical features can be found. An extensive discussions of the pros and cons of fuzzy logic can be found in (Elkan 1993) and a more philosophica... |

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2 | Vague spatial resoning based on supervaluation - Kulik |