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Granular Partitions and Vagueness

In Chris Welty & Barry Smith (eds.), Formal Ontology in Information Systems (FOIS). New York, USA: ACM Press. pp. 309-320 (2003)

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  1. A Science of Topography: Bridging the Qualitative-Quantitative Divide.David M. Mark & Barry Smith - 2004 - In Geographic Information Science and Mountain Geomorphology. Chichester, England: Springer-Praxis. pp. 75--100.
    The shape of the Earth's surface, its topography, is a fundamental dimension of the environment, shaping or mediating many other environmental flows or functions. But there is a major divergence in the way that topography is conceptualized in different domains. Topographic cartographers, information scientists, geomorphologists and environmental modelers typically conceptualize topographic variability as a continuous field of elevations or as some discrete approximation to such a field. Pilots, explorers, anthropologists, ecologists, hikers, and archeologists, on the other hand, typically conceptualize this (...)
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  • Objects and Processes in Mathematical Practice.Uwe V. Riss - 2011 - Foundations of Science 16 (4):337-351.
    In this paper it is argued that the fundamental difference of the formal and the informal position in the philosophy of mathematics results from the collision of an object and a process centric perspective towards mathematics. This collision can be overcome by means of dialectical analysis, which shows that both perspectives essentially depend on each other. This is illustrated by the example of mathematical proof and its formal and informal nature. A short overview of the employed materialist dialectical approach is (...)
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