期刊
LOGIC AND LOGICAL PHILOSOPHY
卷 32, 期 4, 页码 619-638出版社
NICOLAUS COPERNICUS UNIV TORUN
DOI: 10.12775/LLP.2022.031
关键词
measures; point-free structures; region-based theories of space
类别
This article addresses the question of a suitable measure theory in Euclidean point-free geometry and outlines some possible solutions. The proposed measures, which are positive and invariant with respect to movements, are based on the concept of infinitesimal masses, i.e. masses whose associated supports form a sequence of finer and finer partitions.
We face with the question of a suitable measure theory in Euclidean point-free geometry and we sketch out some possible solutions. The proposed measures, which are positive and invariant with respect to movements, are based on the notion of infinitesimal masses, i.e. masses whose associated supports form a sequence of finer and finer partitions.
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