PHILOSOPHY 470
Truth Values, Satisfiability and Semantic Consequences

Assignment of Truth Values


            ==>Question. If SL is finite and consists of n sentence letters, how many assignment of truth values  are there?  What if SL is countably infinite?

Truth Value of A Sentence under An Assignment


            ==>Problem. Show that we get the standard truth conditions for conjunction, disjunction and the bi-conditional, if we define them in  terms of negation and the conditional as usual.

The Semantic Consequence Relation:



Some Properties of Semantic Consequence