Safety Signatures for First-order Languages and Their Applications
نویسنده
چکیده
where A is a formula in which Z is not free (but may contain other parameters). Ideally, every formula A should be used in this schema. Unfortunately, it is well known that this would lead to paradoxes. What the various axiomatic set theories do is to replace the general comprehension schema by “safer” versions. Thus most of the axioms of ZF , the most famous axiomatic set theory, are just particular instances of the comprehension schema. Historically, the guiding line behind the choice of these instances has been the “limitation of size doctrine” ([8, 10]).
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