Transcription of MATHEMATICAL LOGIC EXERCISES - UniTrento
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MATHEMATICAL LOGIC EXERCISES - UniTrento
MATHEMATICALLOGICEXERCISESC hiara GhidiniandLuciano SerafiniAnno Accademico 2013-2014We thankAnnapaola Marconifor her work in previous editions of this should be made as simple as possible,but not s Digest. Oct. 1977 Albert EinsteinContents1 Introduction32 Propositional Basic Concepts .. Truth Tables .. Propositional Formalization .. Formalizing Simple Sentences .. Formalizing Problems .. Normal Form Reduction ..283 First Order Basic Concepts .. FOL Formalization ..354 Modal Basic Concepts .. Satisfiability and Validity .. Modal LOGIC Formalization ..761 Mathematics is the onlyinstructional material that canbe presented in an entirelyundogmatic MathematicalIntelligencer, v. 5, no. 2, 1983 MAXDEHNC hapter 1 IntroductionThe purpose of this booklet is to give you a number of EXERCISES on proposi-tional, first order and modal logics to complement the topics and exercisescovered during the lectures of the course onmathematical LOGIC .
Socrate says: “If I’m guilty, I must be punished; I’m guilty. Thus I must be punished.” Is the argument logically correct? Solution. The argument is logically correct: if pmeans “I’m guilty” and q means “I must be punished”, then: (p!q) ^pj= q (modus ponens)] Exercise 2.18. - Socrate says: “If I’m guilty, I must be punished;
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