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Lecture

Derivation Strategies.pdf

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Department
Philosophy
Course Code
2250
Professor
James Hildebrand

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Strategies for constructing derivations in SD (apply the following strategies in the order they are listed) 1. vE Strategy: If any of the sentences you have is a disjunction split your derivation into two successive sub-derivations. Head the first part off with the assumption of the first disjunct and attempt to derive your goal sentence under this assumption. Head the second part off with the assumption of the second disjunct and do the same. Apply vE to get the goal sentence outside of the two sub-derivations. 2. ⊃I/≡I Strategy: If your goal sentence is a conditional, assume the antecedent and try to derive its consequent under the scope of this assumption. Apply ⊃I to get your goal sentence. If your goal sentence is biconditional, split your derivation into two successive sub-derivations. In the first, assume one component of the biconditional and attempt to derive the second component under this assumption. In the second part, assume the other component of the biconditional and attempt to derive the first component under this assumption. Apply ≡I to get your goal sentence. 3. ~rule Strategy: (Do not apply this strategy before all ways of applying strategies 1 and 2 have been exhausted.) Assume the contradictory of your goal sentence and attempt to derive a contradiction under this assumption. Apply ~E or ~I as appropriate to get your goal sentence. 4. Sub-goal Strategy: Is your goal sentence an extractable component from the sentences you already have or a constructible compou
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