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Timeline for Self-modelling structures

Current License: CC BY-SA 3.0

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Aug 21, 2013 at 9:09 review Close votes
Aug 22, 2013 at 2:14
Aug 21, 2013 at 8:35 history edited Hans-Peter Stricker CC BY-SA 3.0
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Jun 20, 2013 at 11:24 comment added Ramiro de la Vega I think I´m as confused as Noah. Can´t you just glue $E_{out}$ and $E_{in}$ into a single set construction (with some labeling to distinguish which is which)? Then follow Joel´s comment. Maybe you could explain a bit what the point of being "self-modelling" is.
Jun 20, 2013 at 7:18 comment added Hans-Peter Stricker A "set construction" is supposed to be a way to systematically relate a set to every vertex $v$ of a graph. A family of graphs is "self-modelling" when there is a set construction and a relation between sets such that... see above.
Jun 20, 2013 at 4:59 comment added Noah Schweber I'm confused: what, exactly, does it mean for a structure to be "self-modelling?" For that matter, what is a "set construction?"
Jun 20, 2013 at 0:33 comment added Hans-Peter Stricker I assume things will get arbitrary when we allow several set constructions. So I'd like to insist on one set construction - at least in the short run.
Jun 20, 2013 at 0:26 comment added Hans-Peter Stricker Maybe, but two set constructions would be involved: $E_{in}$ and $E_{out}$. On the other side: why not?
Jun 20, 2013 at 0:23 comment added Joel David Hamkins Wouldn't the directed analogue of $(\ast)$ be the fact that $v\to w$ iff $E_{out}(v)\cap E_{in}(w)\neq\emptyset$ in any directed graph?
Jun 20, 2013 at 0:18 comment added Joel David Hamkins For $(\ast)$, you seem to need $v\neq w$.
Jun 20, 2013 at 0:13 history asked Hans-Peter Stricker CC BY-SA 3.0