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Entity > Abstract > Class |

Class comparison table |

Subject |
documentation |
be second domain of |
be first domain of |
have axiom |
---|---|---|---|---|

MutuallyDisjointClass | A Class of Classes is a MutuallyDisjointClass just in case there exists no instance of an instance of the original Class which is an instance of all of the instances of the original Class | UnionFn | UnionFn | (=> |

PairwiseDisjointClass | A Class of Classes is a PairwiseDisjointClass just in case every instance of the Class is either equal to or disjoint from every other instance of the Class | UnionFn | UnionFn | (=> |

Relation | A Class of ordered tuples | subrelation | valence | (forall (?INT) ( |

Set | A Class that satisfies extensionality as well as other conditions specified by some choice of set theory. Unlike Classes generally, Sets need not have an associated condition that determines their membership. Rather, they are thought of metaphorically as `built up' from some initial stock of objects by means of certain constructive operations (such as the pairing or power set operations). Note that extensionality alone is not sufficient for identifying Classes with Sets, since some Classes (e.g. Entity) cannot be assumed to be Sets without contradiction | subset | subset | (forall (?INT) ( |

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