- Tytuł:
- Mathematical Methods in Region-Based Theories of Space: The Case of Whitehead Points
- Autorzy:
- Gruszczyński, Rafał
- Powiązania:
- https://bibliotekanauki.pl/articles/43183148.pdf
- Data publikacji:
- 2024
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
Boolean contact algebras
region-based theories of space
point-free theories of space
points
spatial reasoning
Grzegorczyk
Whitehead
extensive abstraction - Opis:
- Regions-based theories of space aim—among others—to define points in a geometrically appealing way. The most famous definition of this kind is probably due to Whitehead. However, to conclude that the objects defined are points indeed, one should show that they are points of a geometrical or a topological space constructed in a specific way. This paper intends to show how the development of mathematical tools allows showing that Whitehead’s method of extensive abstraction provides a construction of objects that are fundamental building blocks of specific topological spaces.
- Źródło:
-
Bulletin of the Section of Logic; 2024, 53, 1; 63-104
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł