| 1. | Such deductive systems preserve justification or belief may be preserved instead.
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| 2. | The strength of deductive systems is that they are sure of their results.
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| 3. | This deductive system is commonly used in the study of second-order arithmetic.
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| 4. | Other deductive systems describe term rewriting, such as the reduction rules for ? calculus.
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| 5. | How expressions and types fit to each other is described by means of a deductive system.
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| 6. | G�del's completeness theorem establishes the completeness of a certain commonly used type of deductive system.
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| 7. | For Goodman, the validity of a deductive system is justified by its conformity to good deductive practice.
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| 8. | Conversely, a deductive system is "'complete "'if every logically valid formula is derivable.
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| 9. | Undecidability only implies that the particular deductive system being considered does not prove the truth or falsity of the statement.
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| 10. | In a deductive system, one can correctly use the term " proof ", as applying to a theorem.
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