On 2013-06-03, Peter Percival <firstname.lastname@example.org> wrote: > Herman Rubin wrote:
>> Mathematical logic is not all of logic, but it is logic, not >> mathematics. There is more to the logic which is used by >> mathematicians, such as in metamathematics, than is in the >> first order predicate calculus, which is what is used in >> mathematical proofs. There are metamathematical proofs of >> mathematical theorems which do not have mathematical proofs.
>> There is also inductive logic, which is best represented by >> statistical decision theory, and there are modal logics. I >> have seen description of "quantum logics", but I do not see >> them as more than partial representations.
> What is mathematical logic? Is it logic studied with mathematical
It is the first order predicate calculus based on Boolean sentential calculus. That is, predicates cannot be quantified, only individuals can. Nor can predicates be arguments of other predicates.
-- This address is for information only. I do not claim that these views are those of the Statistics Department or of Purdue University. Herman Rubin, Department of Statistics, Purdue University email@example.com Phone: (765)494-6054 FAX: (765)494-0558