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