# rules - Hardegree Intermediate Logic Rules of Derivation 1...

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Hardegree, Intermediate Logic ; Rules of Derivation 1 of 8 Intermediate Logic Rules of Derivation 1. Sentential Logic . .............................................................................................................................. 2 1. Inference Rules . ................................................................................................................... 2 2. Strategic Rules . .................................................................................................................... 3 2. Classical Quantifier Logic . .............................................................................................................. 4 1. Basics . .................................................................................................................................. 4 2. Quantifier Rules. .................................................................................................................. 4 3. Classical Identity Logic. ................................................................................................................... 5 1. Simple Identity Rules – Identity is an Equivalence Relation. .............................................. 5 2. Leibniz's Law . ...................................................................................................................... 5 4. Free Description Logic. .................................................................................................................... 5 1. Introduction. ......................................................................................................................... 5 2. Constants versus Proper Nouns . .......................................................................................... 5 3. Quantifier Rules. .................................................................................................................. 6 4. Description Rules. ................................................................................................................ 6 5. Short-Cut Rules. ............................................................................................................................... 7 1. Short-Cut Rules for Quantifier Logic . ................................................................................. 7 2. Short-Cut Rules for Identity Logic. ...................................................................................... 7 3. Short-Cut Rules for Description Logic . ............................................................................... 8

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Hardegree, Intermediate Logic ; Rules of Derivation 2 of 8 1. Sentential Logic Henceforth, A , B , C , D are closed formulas. 1.
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rules - Hardegree Intermediate Logic Rules of Derivation 1...

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