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