Tuesday, December 30, 2003
A Generalization Hierarchy of Theories
From topicmapmail: via Murray Altheim
~-----------------------------------------------------------------~
| |
| Tautologies |
| ________/ | \________________ |
| / | \ \ |
| / | \ \ |
| Antisymmetry | \ Symmetry |
| \ | \ / |
| \ Transitivity Reflexivity / |
| \ / \ / | / |
| \ / \/ | / |
| \ / /\ | / |
| \ / / \ | / |
| PartialOrdering Equivalence |
| / \ |
| / \ |
| Trees Lattices |
| \ / \_______________ |
| \ / | \ \ |
| \ / | \ \ |
| LinearOrdering Theories Types Collections |
| / \ ___________/ \ |
| / \ / \ |
| Sequences Numbers Sets Mereology |
| \ / \ / \ / | \ |
| \ / \ / \ / | \ |
| Integers Reals ZF-Sets VNGB-Sets / | \ |
| / | \ |
| Discrete Lumpy Continuous |
| |
~-----------------------------------------------------------------~
Figure 2.14: A generalization hierarchy of theories
from "Knowledge Representation", John Sowa (p.95)
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