Source: Notre Dame J. Formal Logic
Volume 51, Number 3
Whitehead, in two basic books, considers two different approaches to point-free
geometry: the inclusion-based approach, whose primitive notions are
regions and inclusion relation between regions, and the connection-based
approach, where the connection relation is considered instead of the
inclusion. We show that the latter cannot be reduced to the first one, although
this can be done in the framework of multivalued logics.
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