1. It is again the axiom schema of unrestricted comprehension allowing for. 2. (5 ) is an axiom schema of induction, representing infinitely many axioms. 3. Accepting only the axiom schema of specification was the beginning of axiomatic set theory. 4. Zermelo himself never accepted Skolem's formulation of the axiom schema of replacement. 5. The axiom schema is motivated by the idea that whether a rank of its elements. 6. Other axiom schemas involving the same or different sets of primitive connectives can be alternatively constructed. 7. This result shows that it is possible to axiomatize ZFC with a single infinite axiom schema . 8. They also independently proposed replacing the axiom schema of specification with the axiom schema of replacement. 9. They also independently proposed replacing the axiom schema of specification with the axiom schema of replacement. 10. Hence any axiom with sets can be replaced by an axiom schema with monadic atomic subformulae.
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