Skip to main content
4 events
when toggle format what by license comment
Jun 9, 2017 at 18:35 comment added Peter Heinig Right, thanks for pointing out, the comment conflated "model of set theory" with "(classifying set of) a class of sets often studied in set-theory". For example, $\Pi_1^1$-sets are often classified by well-founded trees.
Jun 9, 2017 at 18:15 comment added Joel David Hamkins No, a model of set theory is not a tree, in anyone's sense. (And a model of set theory needn't be well-founded). But $\in$ is a directed binary relation, which makes it a directed graph.
Jun 9, 2017 at 18:11 comment added Peter Heinig Yes and no: such a model is a well-founded tree in the set-theorists' sense of tree. This sense is different from the graph-theorists' sense of tree. Not that there would be anything wrong with that.
Jun 9, 2017 at 18:03 history answered Joel David Hamkins CC BY-SA 3.0