1. Mathematicians sometimes distinguish between propositional constants, propositional variables , and schemata. 2. The satisfaction relation is uniquely determined by its value on propositional variables . 3. We just replace assignments with models, and propositional variables with symbols in the language. 4. Propositional calculus restricts attention to abstract propositions, those built up from propositional variables using Boolean operations. 5. Propositional constants represent some particular proposition, while propositional variables range over the set of all atomic propositions. 6. In this context, a valuation begins with an assignment of a truth value to each propositional variable . 7. In propositional logic, there are no quantifiers, and formulas are built from propositional variables using logical connectives. 8. These typically include propositional tautologies, the Lindenbaum Tarski algebra is the free Boolean algebra generated by the propositional variables . 9. In this way, all of the formulas of propositional logic are built up from propositional variables as a basic unit. 10. For a language with " n " distinct propositional variables there are 2 " n " distinct possible interpretations.
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