PHI 13 Truth Tables Review
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13 Terms
Jointly Possible
Everything are all true together
Contingent
A sentence which is capable of being true and capable of being false
Necessary Truth
A sentence which is incapable of being false
Necessary Falsehood
A sentence which is incapable of being true
Equivalent
Two sentences that have the same truth value in every case
Argument
A sequence of sentences ending in a CONCLUSION
Premises
Sentences purporting to logically entail the conclusion
Valid argument
There are no hypothetical case (counterexample) where the premises are TRUE and the conclusion FALSE
Tautology
A sentence which is true on all valuations (true on all rows)
Contradiction
A sentence which is false on all valuations (the sentence is false on all rows)
Inconsistent
when you can prove a contradiction
Soundness
A proof system in which if a certain statement can be proven true, it is also true in all models of that system.
Completeness
A proof system where if a statement is true in all models, there is a proof of that statement within the system.
Note 
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