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The Syntax and Semantics of Propositional Logic Phil 57 section 3 San Jose State University Fall 2010
Valid arguments are truth-preserving ,[object Object],[object Object],[object Object],[object Object]
PL as a formal system to test arguments: ,[object Object],[object Object],[object Object],[object Object]
Important features of PL ,[object Object],[object Object],[object Object]
Syntax of PL ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Syntax of PL ,[object Object],[object Object],[object Object],[object Object],[object Object]
“ Good grammar” in PL: well-formed formula (wff) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Syntax of PL ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Syntax of PL ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Syntax of PL ,[object Object],[object Object],[object Object],[object Object],[object Object]
Syntax of PL ,[object Object],[object Object],[object Object],[object Object],[object Object]
Syntax of PL ,[object Object],[object Object],[object Object],[object Object]
Semantics of PL ,[object Object],[object Object]
Semantics of PL ,[object Object],[object Object],[object Object],P ~P T F F T
Semantics of PL ,[object Object],P Q P   Q T T T T F F F T F F F F
Semantics of PL ,[object Object],P Q P   Q T T T T F T F T T F F F
Semantics of PL ,[object Object],P Q P   Q T T T T F F F T T F F T
Semantics of PL ,[object Object],P Q P   Q T T T T F F F T F F F T

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Syntax and semantics of propositional logic

  • 1. The Syntax and Semantics of Propositional Logic Phil 57 section 3 San Jose State University Fall 2010
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