| 1. | Sch�nfinkel developed a formal system that avoided the use of bound variables.
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| 2. | A Platonist might view particular formal systems as approximating an underlying reality.
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| 3. | Syntactic consequence does not depend on any interpretation of the formal system.
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| 4. | These property rights and the whole formal system of property make possible:
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| 5. | Therefore, no formal system is a complete axiomatization of full number theory.
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| 6. | Without a formal system of accreditation or standardization, such refreshment is optional.
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| 7. | Perhaps in those days the formal system of education did not exist.
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| 8. | The last sentence in the sequence is a theorem of a formal system.
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| 9. | David Hilbert founded metamathematics as a discipline for discussing formal systems.
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| 10. | Conditions in the jails are considered worse, with no formal system of care.
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