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19 Cards in this Set
- Front
- Back
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Modus Ponens(M.P.)
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p>q, p, th q
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Modus Tollens (M.T.)
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p>q, ~q th ~p
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Hypothetical Syllogism(H.S.)
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p>q, q>r, th p>r
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Disjunctive Syllogism (D.S.)
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pvq, ~p, th q
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Constructive Dilemma (C.D.)
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(p>q) o (r>s), pvr, th qvs
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Absortion (Abs.)
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p>q, th p>(poq)
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Simplification (Simp.)
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poq th p
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Conjunction (conj.)
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p, q, th poq
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Addition (Add.)
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p, th pvq
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De Morgan's Theorems (De M)
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~(poq) = (~pv~q)
~(pvq) = (~po~q) |
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Commutation (Com.)
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(pvq)=(qvp)
(poq)=(qop) |
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Association (Assoc)
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[p v (qvr)] = [(pvq) v r]
[po (qor)]= [(poq) o r] |
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Distribution (Dist.)
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[po (qvr)]= [(poq) v (por)]
[p v (qor)] = [(pvq) o (pvr)] |
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Double Negation (D.N.)
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p=~~p
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Transposition (Trans)
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(p>q)= (~q>~p)
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Material Implication(Impl.)
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(p>q)= (~pvq)
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material Equvalence (Equiv)
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(p=q) = [(p>q)o(q>p)]
(p=q)= [(poq) v (~po~q)] |
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Exportation (Exp)
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[(poq)>r]=[p>(q>r)]
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Tautology (Taut)
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p= (pvp)
p=(pop) |
