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13 Cards in this Set
- Front
- Back
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p > q
p ----- q |
Modus Ponens
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p > q
~q ------ ~p |
Modus Tollens
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p > q
q > r ------ p > r |
Hypothetical syllogism (hs)
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p v q
~p ----- q |
Disjunctive Syllogism (ds)
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(p>q)'(r>s)
p v r ----- q v s |
conjuctive syllogism
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p ' q
----- p |
simplification
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p
q ---- p ' q |
conjuction
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p
---- p v q |
addition
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~(p'q)::(~pv~q)
~(pvq)::(~p'~q) |
Demorgan's rule
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p v q::q v p
p ' q::q ' p |
commutativity
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[p ' (q v r)]::[(p ' q) v (p ' r)]
[p v (q ' r)]::[(p v q) ' (p v r)] |
Distributing (Dist)
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~~p::p
p::~~p |
double negation (dn)
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u can only add using this symbol
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v
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