Mereogeometries: a Semantic Comparison
نویسندگان
چکیده
We compare several geometrical theories based on mereology (mereogeometries) in a unified framework. Most theories in this area lack in formalization and this prevents any systematic logical analysis. We overcome this problem by isolating a common domain in R and, selecting natural interpretations, we use this framework to show several interdependencies among primitive relations of these theories. We conclude that, for dimension n ≤ 3 and with some additional assumptions, most of the theories considered are equivalent in the provided interpretation.
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تاریخ انتشار 2001