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S Apr 15, 2018 at 17:37 history suggested Oscar Cunningham CC BY-SA 3.0
Corrected definition of $^*$ operator
Apr 15, 2018 at 13:02 comment added Oscar Cunningham The definition of $^*$ used to be "$A^* = \{ n : \Phi(E_n,n) \in T \}$", which I think is incorrect because $A$ doesn't appear on the right hand side. I made an attempt at a correction, but I'd appreciate if someone could check with a copy of Smullyan's book.
Apr 15, 2018 at 13:00 review Suggested edits
S Apr 15, 2018 at 17:37
Jul 20, 2010 at 19:34 vote accept Sebastian Reichelt
Jul 20, 2010 at 19:24 comment added Sebastian Reichelt Many thanks to all who answered. Your post finally made me realize that I had always interpreted the word "predicate" in a too narrow sense: I used to think of predicates as things that appear in formulas, as in "a formula is either a conjunction, or ..., or an instantiation of a predicate." So for me, "predicate" was a system-dependent concept. Now that I understand how you can retroactively define "predicates" for more general formal systems, I would like to accept both Charles Steward's and your answer in combination (i.e. your definitions + the formalized substitution operator). :-)
Jul 19, 2010 at 9:11 history answered user7247 CC BY-SA 2.5